What is the name of the relationship between Angle 1 and Angle 4?

What Is The Name Of The Relationship Between Angle 1 And Angle 4?

Answers

Answer 1

Answer: alternate exterior angles

Step-by-step explanation:

They are equals if the two intersected lines by the transversal are parallel. In the figure, angles 1 and 4 are alternate exterior angles. Angles that are on opposite sides of the transversal of two other lines.


Related Questions

3. Sketch the distance-time graphs for the following scenarios.

a. Stand one meter from the sensor, walk
at a constant (steady) slow pace away
from the sensor.

b. Stand one meter from the sensor, walk
away from the sensor changing your
pace from slow to fast.

Answers

The distance-time graphs for the given scenarios have been attached below. The solution has been obtained using distance-time function.

What is distance-time function?

The distance between a person and an object through time is described by distance-time functions. Depending on the kind of movement, a distance-time function may be linear or non-linear, increasing, decreasing, or constant. We need to tell where the object starts, what direction it moves in, how quickly it moves, and whether it is speeding up, slowing down, or travelling at a constant speed in order to explain a distance-time function.

a. The distance-time graph for this scenario is the first graph wherein the line is less steeper than the other graph because the speed is constant.

b.  The distance-time graph for this scenario is the second graph wherein the line is steeper than the first one because the speed is changing from slow to fast.

Hence, the distance-time graphs for the given scenarios have been obtained.

Learn more about distance-time function from the given link

https://brainly.com/question/28753735

#SPJ1

∆ is an equilateral triangle with a side length of 12 inches. What is the height of ∆? Provide your answer in simplest radical form.

Answers

Answer:

   

Step-by-step explanation:

  f f

Please help with question 11!!
“Given the functions f(x) = sqr x^2 - 3 and g(x) = sqr 36-x^2 what is the domain of f- g within the real set of numbers??

PLS HELP!!! THANK YOU!!

Answers

The domain of the function f(x) - g(x) is given as follows:

[tex][-6, -\sqrt{3}] \cup [\sqrt{3},6][/tex]

How to obtain the domain of the function?

The domain of a function is the set composed by all the input values that the function accepts.

For a square root, the inner term cannot be negative, hence the domain of f(x) is given as follows:

x² - 3 >= 0

|x| >= sqrt(3)

x <= -sqrt(3) or x >= sqrt(3).

For function g(x), the domain is given as follows:

36 - x² >= 0

x² <= 36

|x| <= square root (36)

|x| <= 6.

-6 <= x <= 6.

The domain of the subtraction function is the intersection of the domain of both functions, hence:

[tex][-6, -\sqrt{3}] \cup [\sqrt{3},6][/tex]

More can be learned about the domain of a function at https://brainly.com/question/10687170

#SPJ1

3.
3a
Which is cheaper: 115 plums for $276.00 at Shop ZYX or 198 plums for $633.60 at Shop PWR?
What is the cost of a single plum at Shop ZYX?
= Enter your next step here
dollars

Answers

Shop ZYX represents the cheaper plan, with a cost of $2.4 per plum.

How to obtain the cheaper plan?

To obtain the cheaper plan, we must obtain the cost of a single plum for each shop.

The cost of a single plum for each shop is obtained using a proportion, with the division of the total cost by the number of plums.

Hence the cost per plum in each shop is given as follows:

Shop ZYX: 276/115 = $2.4.Shop PWR: 633.6/198 = $3.2.

(division of the total cost by the number of plums).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

How many solutions does the following equation have? 6x + 8=2(3x+4)

Answers

The equation 6x + 8 = 2(3x + 4) had infinitely many solutions.

How to Find How Many Solution an Equation Has?

The equation 6x + 8 = 2(3x + 4) can be solved by isolating x on one side of the equation. To do this, we can first distribute the 2 on the right side of the equation:

6x + 8 = 6x + 8

Then we can subtract 8 from both sides:

6x + 8 - 8 = 6x + 8 - 8

6x = 6x

Divide both sides by 6

6x/6 = 6x/6

x = x

This means x can assume any value which will make the equation true.

Therefore, the equation had infinitely many solutions.

Learn more about solution of an equation on:

https://brainly.com/question/25678139

#SPJ1

Simplify the expression

Answers

Answer: 5.4h -13 -1.9d

Step-by-step explanation:

combine the like terms together.

The manufacturer's price for a Jinko car is $x
Ben was given a 7% discount on the manufacturer's price when he bought a Jinko.
Ben paid $23 622 when he bought his Jinko.
a) Calculate the value of x.
After a year Ben sold his Jinko for $19 880
b) Calculate the percentage loss, to 3 significant figures, on the price Ben paid for his Jinko.
During the year that Ben owned the Jinko, he travelled d km in the car.
The average fuel consumption of the car was 10km per litre. The average cost of the fuel he used was $1.40 per litre.
Other costs for the car in the year came to $938
The cost per km, including the loss in value, of his Jinko to Ben during the year that he owned the car was $0.40
c) Calculate the value of d.

Answers

Price paid for car = $23622, The loss value is $3742 and total distance the car was used for is 18000 kilometres.

What is distance?

Distance is a measurement of how far apart two objects or points are. It is the length of the actual route taken to get from one place to another. In physics, distance is frequently used to refer to a physical length or an estimation based on other criteria, such as "a few kilometres apart" or "some miles away."

However, the distance travelled by an object to move from its initial position to its final position will be the same as the distance travelled to move from its final position to its initial position. As a result, distance is independent of a body's motion.

a. Price paid for car = $23622

Discount = 7%

Sale price = $19880

b. The loss value is $3742

c. Let total distance travelled be d

Fuel consumption=10km per litre

Cost of fuel =1.4 per litre

Cost of fuel per kilometre =1.410= 0.14

Other cost = 938

Cost of usage =0.14*d +938

Total cost including loss = 0.14*d +938+3742

The cost per kilometre has been provided as 0.4

Total cost of the vehicle's use = 0.4*d

B=A0.4*d = 0.14*d +938+37420.26*d = 4680d = 18000

Thus, Total distance the car was used for is 18000 kilometres.

Learn more about distance

https://brainly.com/question/15172156

#SPJ1

alma starts running and jacob starts running 7 seconds later. let t represent the number of seconds since alma started running. write an expression (in terms of t ) that represents the number of seconds jacob has been running.

Answers

The expression that represents the number of seconds Jacob has been running is t - 7.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. An expression's structure is as follows: (Math Operator, Number/Variable, Math Operator). The two integers are connected by a mathematical operator.

Since Jacob started running 7 seconds after Alma, the number of seconds Jacob has been running can be represented as t - 7. So the expression that represents the number of seconds Jacob has been running is: t - 7.

To learn more about expression here:

https://brainly.com/question/28980347

#SPJ4

Solve the system of equations.

Answers

Answer:

(3,2)

Step-by-step explanation:

 2(y = 5x - 13)

-(2y = -5x + 19)

0 = 15x - 45

15x = 45 --> x=3

y = 5(3) - 13

y = 2


Find the point on the directed segment from (-4, 5) to (12, 13) that divides it into a ratio of 1:5

Answers

Answer: x=-4/3,      y=19/3

Step-by-step explanation:  According to the formula,  

x=(mx2+nx1)/(m+n) ,     y=(my2+ny1)/(m+n)

Here the ratio is 1:5

m=1 ,   n=5

x1 = -4,  x2 = 12

y1 = 5,   y2 = 13

Now put in the formula,

[tex]x=\frac{1*12+5(-4)}{1+5}[/tex] ,     [tex]y=\frac{1*13+5*5}{1+5}[/tex]

x=(12-20)/6 ,      y= (13+25)/6

x=-8/6         ,      y=38/6

x=-4/3          ,     y=19/3

Read more about it:

https://brainly.com/question/23907194

Given f (x)=-4x-5 find f(5)

Answers

Answer: -25

Step-by-step explanation:

For f(x) functions, all you do is plug in whatever value that is given in the parenthesis into x.

f(5) = -4(5) - 5

= -20 -5

= -25

Ryan needs 3 and 1/4 cups of flour for the cookie recipe she is baking. She has already added 2 and 1/2 cups of flour. How much more flour does she need to add? Please help-

Answers

The quantity of more flour that she needs to add would be = 3/4

What is a fraction?

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

Learn more about fraction here:

https://brainly.com/question/28699958

#SPJ1

[Pre-Calculus honors] Find the rotation in revolutions per minute given the angular speed and the radius given the linear speed and the rate of rotation.
37. V= 82.3 m/s, 131 rev/min
38. V= 144.2 ft/min, 10.9 rev/min
39. V= 553 in. /h, 0.09 rev/min
Please do all of them, or at least as many as you can.

Answers

Answer: To find the rotation in revolutions per minute (RPM) given the angular speed and the radius, we can use the formula:

RPM = (Angular Speed (rad/s)) / (2 * pi)

To find the RPM, we first need to convert the linear speed to angular speed. We can do this by using the formula:

Angular Speed (rad/s) = Linear Speed (m/s) / Radius (m)

Angular Speed = 82.3 m/s / 0.131 m = 630 rad/s

RPM = (630 rad/s) / (2 * pi) = 131 rev/min

To find the RPM, we first need to convert the linear speed to angular speed. We can do this by using the formula:

Angular Speed (rad/s) = Linear Speed (ft/min) / (Radius (ft) * 12)

Angular Speed = 144.2 ft/min / (10.9 ft * 12) = 10.9 rad/s

RPM = (10.9 rad/s) / (2 * pi) = 10.9 rev/min

To find the RPM, we first need to convert the linear speed to angular speed. We can do this by using the formula:

Angular Speed (rad/s) = Linear Speed (in/h) / (Radius (in) * 3600)

Angular Speed = 553 in/h / (553 in * 3600) = 0.09 rad/s

RPM = (0.09 rad/s) / (2 * pi) = 0.09 rev/min

Step-by-step explanation:

three computer viruses arrived as an e-mail attachment. virus a damages the system with probability 0.4. independently of it, virus b damages the system with probability 0.5. independently of a and b, virus c damages the system with probability 0.2. what is the probability that the system gets damaged?

Answers

The probability that the system gets damaged is 0.685.

Virus A damages the system with probability 0.4.

Independently of it, virus B damages the system with probability 0.5.

Independently of A and B virus C damages the system with probability 0.2.

We have to find the probability that the system gets damaged.

P(system will not be damaged by virus 1) = 1 - 0.1 = 0.9

P(system will not be damaged by virus 2) = 1 - 0.5 = 0.5

P(system will not be damaged by virus 3) = 1 - 0.3 = 0.7

P(the system will be damaged) = 1 - P(system will not be damaged)

P(the system will be damaged) = 1 - P(system will not be damaged by virus 1) x P(system will not be damaged by virus 2) x P(system will not be damaged by virus 3)

P(the system will be damaged) = 1 - 0.9x0.5x0.7

P(the system will be damaged) = 0.685

To learn more about probability link is here

brainly.com/question/30034780

#SPJ4

A professor wants to randomly select 4 students to go to the board. She decides to
randomly select the sixth student who enters the classroom and every seventh student
after that. Determine the students who will be going to the board. Write down the student
numbers.

Answers

Using Arithmetic progression, There were 4,13,22,31 pupils chosen out of the applicants.

The professor desires to choose four students at random.

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence. The common difference of the sequence is d, and the number an is the first term. An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d.

The fourth student was chosen at random, followed by every ninth student.

The fourth student is chosen first.

Using the following term formula, which is

=>a + d(n-1) (n-1)

The second student is the one after that.

=>4 + 9(2-1) (2-1)

=>4 + 9(1) (1)

=>4 + 9

=> 13

The third pupil will be

=>4 + 9(3-1) (3-1)

=>4 + 9(2) (2)

=>4 + 18

=> 22

The fourth pupil will be

=>4 + 9(4-1) (4-1)

=>4 + 9(3) (3)

=> 4+ 27

=> 31

To learn more about A.P. from given link

https://brainly.com/question/14321233

#SPJ1

Please help me asap !

Answers

On the graph:

A  represents the reactants

B represents the activated complex

C represents the products

D represents the activation energy

What is the information in the energy profile diagram of the reaction shown?

The path of energy changes that take place in a reaction, as well as the energy content of the reactants and products, are depicted in the energy profile diagram.

The letters shown in the diagram represents the following:

A stands for the activation energy, which is the minimal amount of energy required for reactant molecules to produce products.The activated complex, represented by B, is an intermediate state created during the transformation of reactants into products.The reaction's overall enthalpy change is denoted by the letter C.D stands for the products' potential energy, which is contained in their chemical bonds.E stands for the reactants' potential energy, which is the chemical potential energy contained in the bonds that make up the reactant.The reactants are denoted by F.G stands for the goods.Since the energy content of the reactants is higher than that of the products, the reaction is exothermic.

Learn more about energy profile diagram at:

brainly.com/question/10338784

#SPJ1

Does someone mind helping me with this problem? Thank you!

Answers

Answer: Amber has 50 pennies and 10 dime

Step-by-step explanation:

The number of pennies is represented by x, while the number of dimes is represented by y. This means that the statement, "there are five times as many pennies as dimes" can be written as x = 5.

The sum of the coins is $1.50, which can now be written as

0.01x + 0.1y = 1.50

0.01(5y) + 0.1y = 1.50

0.05y + 0.1y = 1.50

0.15y = 1.50

y = 10

Next up:

x = 5y

x = 5(10)

x = 50

Finally, we can conclude that Amber has 50 pennies and 10 dimes

I hope this helps!

Please help if you can

Answers

The exponential function that satisfies the given conditions is given as follows:

[tex]f(t) = 4e^{1.099t}[/tex]

How to model the exponential function?

The format of the exponential function for this problem is given as follows:

f(t) = 4e^(kt).

In which k is the exponential growth rate.

After five hours, there was 972 bacteria, meaning that when t = 5, f(t) = 972, hence the growth rate is obtained as follows:

[tex]972 = 4e^{5k}[/tex]

[tex]e^{5k} = 243[/tex]

5k = ln(243)

k = ln(243)/5

k = 1.099.

Meaning that the function is defined as follows:

[tex]f(t) = 4e^{1.099t}[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

How do you proof Triangle BSR is congruent to Triangle DUT

Answers

From the SSS Property of the triangle, Both triangles BSR and DUT are congruent.

What is the congruent triangle?

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given, In the diagram, ABCD is a square, and R, S, T, and U are the midpoints of the sides of ABCD. Also, RT is perpendicular to SU and SV are equals to VU.

Since, R, S, T, and U are midpoints, and since  RT is perpendicular to SU

in triangle DUT.

UD = TD

UD is also equal to VT  since  RT is perpendicular to SU

UD = TD = VT...(1)

And, From the Pythagorean theorem

UT = √(TD² + UD²)

In TRiangle BSR

BR = BS

BS is also equal to RV  since  RT is perpendicular to SU

BR = BS = RV...(2)

And, From the Pythagorean theorem

SR = √(BR² + BS²)

Since SV is equal to VU.

Thus, RV = VT

From equation 1 and 2

BR = BS = RV = UD = TD = VT

Therefore, From the SSS Property of the triangle, Both triangles BSR and DUT are congruent.

Learn more about congruent triangles here:

https://brainly.com/question/22062407

#SPJ1

Can someone check my answer for the first one and help me with the rest? Thank you!

Answers

Step-by-step explanation:

First one is good, all you have to do is combine like terms

-28x and +4x are like terms because they both have X

Combining those is -28x+4x=+24x

Making #1 7+24x

Answer:

(Their all down there)

Step-by-step explanation:

Okie dokie so! Your answer for 17 is technically correct but you need to imply it further so it would be [tex]7-24x[/tex]

18. [tex]-2(-6+5k)-1[/tex]

do distributive property

[tex]12-10k-1[/tex]   combine like terms (12 and -1)

[tex]-10k+11[/tex]

19. [tex]6(v-5)+1\\[/tex]

do distributive property

[tex]6v-30+1[/tex]    combine like terms (-30 and 1)

[tex]6v-29\\[/tex]

20. [tex]10(n+5)-5n[/tex]

do distributive property

[tex]10n+50-5n[/tex]  combine like terms (10n and -5n)

[tex]5n+50[/tex]

21. [tex]-7(8+8x)-6x[/tex]

do distributive property

-[tex]56-56x-6x[/tex]   combine like terms (-56x and -6x)

[tex]-56-62x[/tex]

22. [tex]6(x-9)+5[/tex]

do distributive property

[tex]6x-54+5[/tex]  combine like terms (-54 and 5)

[tex]6x-49[/tex]

I need the value of x please?????????????

Answers

Based on the triangle sum theorem, the value of x is: 45.

What is the Triangle Sum Theorem?

The Triangle Sum Theorem states that in any triangle, the sum of the measures of the interior angles is always equal to 180 degrees. This is true for all triangles, regardless of their size or shape.

The theorem can be proven using Euclidean geometry, which states that the sum of the angles in a triangle is always 180 degrees. This theorem is also known as the "angle sum property" of a triangle.

Therefore:

2x + 10 + 30 + 50 = 180 (based on the triangle sum theorem).

Combine like terms:

2x + 90 = 180

2x = 180 - 90

2x = 90

2x/2 = 90/2

x = 45.

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

#SPJ1

What number goes in the blank to make the number sentence true? 3 x (1 + 6) = (3 x 1) + ( x6)​

Answers

The required value of x to satisfied the given condition is 1/5.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

According to question:

We have,

3x (1 + 6) = (3 x 1) + ( 6x)​

3x(7) = 3 + 6x

21x = 3 + 6x

15x = 3

x = 1/5

Thus, required value of x is 1/5.

To know more about Equation visit:

brainly.com/question/10413253

#SPJ1

In order to satisfy the requirement, x must be 1/5 of the desired value.

What is an equation?An equation is a mathematical statement that proves the equality of two mathematical expressions, according to the definition of an equation in algebra. For instance, the two equations 3x + 5 and 14 are combined to form the equation 3x + 5 = 14, which is denoted by the equal sign.According to what we have3x (1 + 6) = (3 x 1) + ( 6x) ( 6x)3x(7) = 3 + 6x21x = 3 + 6x15x = 3x = 1/5A value of 1/5 for x is therefore necessary.

To lean more about Equation refer:

brainly.com/question/10413253

#SPJ1

Pedro buys lunch at school every day. He always gets pizza when it is

available. The cafeteria has pizza about 80% of the time.

Pedro runs a simulation to model this using a random number generator. He

assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = no pizza available

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available

The table shows the results of the simulation.

95032 47150 71709 38889 94007

35013 57890 72924 19365 47879

What is the estimated probability that Pedro will eat pizza for lunch every way

next week?

Answers

The estimated probability that Pedro will eat pizza for lunch every way next week is 1/2

The term called probability in math is known as branch of mathematics that measures the uncertainty of the occurrence of an event using numbers

Here we know that the cafeteria has pizza about 80% of the time.

And here we have also know that Pedro runs a simulation to model this using a random number generator.

The result of the table shows the results of the simulation.

Here we need to estimate the probability that Pedro will eat pizza for lunch every way next week and it can be calculated as,

Here we have know that in each box, here there are 5 digits to represent the 5 days in a week.

And here there’s 10 boxes to represents 10 weeks.

Then in each box there’s a chance out of 5 for Pedro to get pizza.

Then the probability is calculated as,

=> 5/10

=> 1/2

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

what is 193 divide by 5 =

Answers

Answer:38.6

Step-by-step explanation:

what is the total number n of distinct solutions after we impose that x, y and z are all nonnegative integers?

Answers

The total number (n) of distinct solutions of the equation (x + y + z = 15) with the assumption that x, y and z are all nonnegative integers is 153.

The generating function for the number of solutions of the equation (x + y + z = n) is given by the binomial coefficient (n+2)C2, where C2 is the number of ways to choose 2 objects from a set of n+2 objects.

The number of solutions for the given equation (x + y + z = 15) is then given by:

(15+2)C2 = (17C2)

We can also use the formula for binomial coefficient: nCr = n! / (r! (n-r)!)

17C2 = (17!) / (2! * 15!) = 153

So the total number of distinct solutions of the equation (x + y + z = 15) with x, y, z non-negative integers is 153.

"

Complete question

what is the total number n of distinct solutions  the equation (x + y + z = 15) after we impose that x, y and z are all nonnegative integers?

"

You can learn more about distinct solutions of equation at

https://brainly.com/question/28471746

#SPJ4

In four years' time, Imran's mother will be three times as old as Imran. Six years ago, his mother was seven times as old as him. Find
(i) Imran's present age,
(ii) the age of Imran's mother when he was born.​

Answers

Answer:

(i) 11 years old

(ii) 30 years old

Step-by-step explanation:

K is x

In four years, he will be x+4 and his mother will therefore be 3(x+4)

Six years ago, he was x-6 and his mother was 7(x-6).

In 10 years his mother went from 7(x-6) to 3(x+4)

so their difference is 10

7x-42+10=3(x+4), since 7x-42 is 10 years less than 3x+12

7x-32=3x+12

4x=44

x=11 age of K now

in 4 years he will be 15 and his mother 45.

Six years ago he was 5 and his mother 35

Therefore, his mother was 30 when he was born.

She is now 41.

Final answer:

Imran is currently 10 years old. His mother's current age is 34 years old and she was 24 years old when Imran was born.

Explanation:

The question involves a system of equations based on the relationship between Imran and his mother's ages. We can define Imran's current age as i and his mother's current age as m. From the problem we have the following two equations:

In four years' time, his mother will be three times as old as him: m + 4 = 3 * (i + 4)Six years ago, his mother was seven times as old as him: m - 6 = 7 * (i - 6)

By solving this system of equations, we can determine that Imran's current age (i) is 10 years old and his mother's current age (m) is 34 years old. To find the age of Imran's mother when he was born, we would subtract Imran's age from his mother's, i.e., 34 - 10, so Imran's mother was 24 years old when Imran was born.

Learn more about System of equations here:

https://brainly.com/question/35467992

#SPJ2

What is the length of the missing side?

Answers

Answer:

D: 39

Step-by-step explanation: Using the steps of the Pythagorean theorem.

1. If mA = 3x° and
m what is the value
of x?

Answers

Answer: here

Step-by-step explanation:

Divide each term in ma=3xma=3x by aa and simplify.m=3xa

3. Elizabeth works for Picasso Paint Supplies. Her annual

a. What is Elizabeth's annual Social Security deduction?

b. What is Elirahath's annual Medicare deduction?

c. Elizabeth is paid every other week. What is her biweekly gross pay?

d. Each pay period, Elizabeth's employer deducts 21% for federal withholding tax. What is

the total amount withheld for federal tax from Elizabeth's annual salary?

e: If Elizabeth is taxed at an annual rate of 2. 875% for city tax how much is deducted from

her salary per paycheck to withhold that tax?

f. As of January 1, Elizabeth will receive a 9. 1% raise. What will Elizabeth's annual salary be?

Answers

Elizabeth's annual Social Security deduction is $72580, Medicare deduction is $1053.71 per year, biweekly gross pay is $2796.15, total amount withheld for federal tax is $15336.80, amount deducted is $66.50 and annual salary is $79,307.38

a) Social Security deduction is 6.2% of Elizabeth's annual salary, which is $72,580 x 6.2% = $4,486.76 per year.

b) Medicare deduction is 1.45% of Elizabeth's annual salary, which is $72,580 x 1.45% = $1,053.71 per year.

c) Elizabeth is paid every other week, so her bi-weekly gross pay is $72,580 / 26 = $2,796.15.

d) The total amount withheld for federal tax from Elizabeth's annual salary is $72,580 x 21% = $15,336.80.

e) The amount deducted from Elizabeth's salary per paycheck for city tax is ($72,580 x 2.875%) / 26 = $66.50.

f) As of January 1, Elizabeth will receive a 9.1% raise, so her annual salary will be $72,580 x (1 + 0.091) = $79,307.38.

Correct Question :

Elizabeth works for Picasso Paint Supplies. Her annual salary is $72,580.

a) What is Elizabeth's annual Social Security deduction?

b) What is Elizabeth's annual Medicare deduction?

c) Elizabeth is paid every other week. What is her biweekly gross pay?

d) Each pay period, Elizabeth's employer deducts 21% for federal withholding tax. What is the total amount withheld for federal tax from Elizabeth's annual salary?

e) If Elizabeth is taxed at an annual rate of 2.875% for city tax, how much is deducted from her salary per paycheck to withhold that tax?

f) As of January 1, Elizabeth will receive a 9.1% raise. What will Elizabeth's annual salary be?

To learn more about annual salary here:

https://brainly.com/question/13575235

#SPJ4

One angle measures 18°, and another angle measures (6d − 6)°. If the angles are complementary, what is the value of d?

Answers

Answer:

By definition, if two angles are complementary, they both will add up to 90 degrees. Knowing this add 18 and (6d-6) together to equal 90.

18+(6d-6)=90

Subtract 18 from both sides, then add 6. This leaves you with 6d equal to 78. Divide by 6 to get 13.

(6d-6)=72

6d=78

d=13 degrees

Make sure of your answer. You know that d is 13, so plug it back into the equation to see if it equals 90 degrees.

18+6(13)-6=90

18+78-6=90

90=90

Other Questions
A triangle has an area of 100 square feet and a height of 5 feet. What is the length of the base of the triangle? Responses 10 ft 10 ft 20 ft 20 ft 40 ft 40 ft 160 ft a transaction causes a company's cash balance to increase. which of the following could also be true for that transaction? another asset decreases or a liability increases. another asset also increases or a liability decreases. another asset decreases or owners' equity decreases. a liability decreases or owners' equity increases. describe and give examples of continuous reinforcement and partial reinforcement schedules (fixed ratio, variable ratio, fixed interval and variable interval). Please select the word from the list that best fits the definition the distribution of scarce resources and rewards that is determined on the basis of achieved status. suppose a biochemist has 10 ml of a 1.0 m solution of a compound with two ionizable groups at a ph of 8.00. she adds 10.0 ml of 1.00 m hcl, which changes the ph to 3.20. the value of one of the groups is 3.8 and it is known that is between 7 and 10. what is the exact value of ? members of societies that undergo modernization must shift their allegiance from traditional authorities to newer authorities, such as select one: a. government officials. b. parents. c. priests. d. peers. The primary goal of Cai Guo-Qiang's Project to Extend the Great Wall of China by 10,000 Meters: Project for Extraterrestrials No. 10 was to:A. transform our experience of the world.B. express personal feelings.C. elevate functional objects.D. give form to spiritual forces. For long term success, what type(s) of motivation is/are necessary? a. intrinsic b. extrinsicc. mostly extrinsicd. intrinsic and extrinsic naomi buys last year's best-selling novel, in hardcover, for $13.65. this is with a 35% discount from the original price. what was the original price of the novel? There are 100 teachers in a school. 60 teach science, 25 teach humanities, 15 teach both science and humanities. 6Find the number of teachers who teach: (a) science but not humanities. (b) Humanities but not science. (c) Humanities or science. Label these examples as either instances of representative or direct democracy. Representative democracy:-A major bill supported by the majority of citizens passes a state legislature.-Congress votes to impeach an unpopular president. your aunt has a fear that makes it difficult for her to leave her home. she feels trapped and is unable to work or engage in any kind of activity that requires going outside of her home. you are not surprised when you find out your aunt is diagnosed with . trypanophobia odontophobia agoraphobia a specific phobia Perspective is subjective and because of this it is a personal understanding of the world around us. your thoughts, views and perception of the world are based around your socialization and lived experience. if we were to state that perspective was __________ it would be removing emotional and individual understanding to try to remain neutral and non-biased. The roof shingles are arranged so that each row has 7 fewer shingles than the row below it. If the first row has 75 shingles, how many shingles are in the 6th row?Group of answer choices68334740 the influence of traditional african healing practices is evident in the idea that ill health is due to Andrea lives in southern Mississippi where winters are normally fairly mild. Last January, during an unusually cold spell, the water pipes in her house froze and burst. She looked online to find a plumber who was able to come out and repair the pipes the same day. Prior to the frozen pipes, the plumber's services represented a(n) ________. A. Unsought service. B. Convenience service. C. Industrial service. D. Specialty service which of the following would decrease the rate of a chemical reaction? adding more reactants stirring the reaction more vigorously squeezing the reactants into a smaller volume increasing the temperature raising the activation energy someone help please I need help ! asap! true/false. under the uniform securities act of 1956, as amended, an issuer is defined as: any person engaged in the sale of new issue offerings to the public any person who issues or proposes to issue a security any person engaged in the sale of non-exempt securities offerings to the public any person engaged in the sale of secondary offerings to the public the population of algae in an experiment increases by %5 each day. if there were 50 algae at the beginning, predict the number of algae after 7 days.