Angles ABC and DEF are complementary angles. If m/ABC = 72°, what is m/DEF?

Answers

Answer 1

Answer:

18 degrees

Step-by-step explanation:

If <ABC and <DEF are complementary, m<ABC + m<DEF = 90 degrees. So M<DEF = 90 - 72 = 18 degrees.

Answer 2

Answer: 18

Step-by-step explanation: Complementary angles sum up to 90. (90 - 72 = 18)


Related Questions

Evaluate.
Remember Order of Operations!
(PEMDAS)
-5 × (-7+2) - 13

Answers

Answer:

the answer is 12 just =12

please answer as soon as possible ​

Answers

Step-by-step explanation:

the answer is, if it's correct y=4

I need help with add and sub poly

Answers

Answe[tex]10c^{2} +5c+4[/tex]

Step-by-step explanation:

Step 1 -(((6•(c2))-2c)-1)+((22c2+7c)+5)

Step 2-(((2•3c2) -  2c) -  1) +  (4c2 + 7c + 5)

in conclusion, you get [tex]10c^{2} +5c+4[/tex]

I hoped i have helped u have a wonderful day or night !

What is the area of the trapezoid shown? Show your work

Answers

The Area of the trapezoid in the image attached below is: 204 units².

How to Find the Area of a Trapezoid?

To find the area of a trapezoid, the following formula is used:

Area of trapezoid = 1/2 × (a + b) × h, where h is the height of the trapezoid, and a and b are the length of the two parallel bases of the trapezoid.

Given the trapezoid in the image attached below, we have the following parameters:

a = 10

b = 24

h = 12

Area of trapezoid = 1/2 × (10 + 24) × 12

Area of trapezoid = 1/2 × (34) × 12

Area of trapezoid = 34 × 6

Area of trapezoid = 204 units²

Therefore, the Area of the trapezoid in the image attached below is: 204 units².

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6.3 = 2x - 4.5 solve for x

Answers

Answer:

x = 5.4

Step-by-step explanation:

6.3 = 2x-4.5  

2x = 6.3 + 4.5 = 10.8  

x= 5.4

Answer:

5.4is the value if x

Step-by-step explanation:

6.3=2x-4.5

6.3+4.5=2x

10.8=2x

10.8/2=x

5.4=x

So,x=5.4

Two trains leave towns 900 miles apart at the same time and travel toward each other. One train travels 20mi/h slower than the other. If they meet in 6 hours, what is the rate of each train?

Answers

Answer:

Hello,

Step-by-step explanation:

The time they travel is t=6 hours

v is rate of the fastest train

v-2 the slower one.

v*t+(v-20)*t=900

2vt-20t=900

12v-120=900

12v=900+120

v=1020/12

v=85 (mi/h)

v-20=65 (mi/h)

11. Lucretia, who works part-time as a substance abuse counselor, earns $18.15
per hour and works 20 hours per week. She is single and claims one withholding
allowance. She lives in a state with no state income tax. (2.1)

Answers

Using proportions, it is found that the weekly amounts are given as follows:

Federal Withholding: $33Social Security Tax: $22.51.Medicare Tax: $10.53.State income tax: $134.31.

What is the missing information?

We have to determine for Lucretia these following weekly amounts:

Federal Withholding.Social Security Tax.Medicare Tax.State income tax.

The rates are given as follows:

Withholding allowance: $33 (for someone earning $363 a week).Medicare tax: 2.9%.Social Security: 6.2%.State tax: 37%, as she lives on a state with no tax, hence pays only the Federal rate.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Lucretia's weekly salary is given as follows:

20 x 18.15 = $363.

The withholding allowance is fixed at $33 for a person earning her amount, while the tax rate is of 37%, as she lives in a state with no income tax, hence she only pays the federal tax rate.

The other amounts are given as follows:

Medicare Tax: 0.029 x 363 = $10.53.Social Security Tax: 0.062 x 363 = $22.51.State tax: 0.37 x 363 = $134.31.

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the general solution to
Sin2x = Cosx+l

Answers

Answer:

Step-by-step explanation:

sin2x = cosx + l

This can be written as:

2 sinxcosx = cosx + 1

One way would be to draw graphs of sin2x and cosx + 1 and see where they intersect.

Another way is to use y = tan(x/2),  then sinx = 2y/(y^2+1) and cos x

= (-y^2 + 1) / (y^2 + 1) to substitute into the given equation and solve for y.

The algebra will be pretty challenging in this method.

Help I need the answer to this question

Answers

The Density of the given plank with dimensions is; 33.82 kg/m³

How to calculate the density of an Object?

We are given;

Length of plank = 2.3 meters

Width of plank = 30 cm = 0.3 m

Height of Plank = 3 cm = 0.03 m

Mass of plank = 0.7 kg

Now, formula for density = mass/volume

Volume of the plank is gotten from the formula;

Volume = Length * width * height

V = 2.3 * 0.3 * 0.03

V = 0.0207 m³

Thus;

Density = 0.7/ 0.0207

Density = 33.82 kg/m³

Thus, we can conclude that the Density of the given plank with dimensions is 33.82 kg/m³

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. A caterer in Florida is making fresh
orange juice, the official state beverage.
Four oranges make 1 cup of juice. How
many oranges will the caterer need to
use to make 58 cups of juice? HELPPP

Answers

Step-by-step explanation:

58 multiple 4

..................

I believe it would be 14 and one half cups of orange juice because 58 divided by 4 is 14.5! hope this helps :)

Convert the given measurement to the unit indicated
using the table to the right.
0.13 m³ to kg

Answers

Converting the given measurement 0.13m^3 into kg using the given table. We get the answer as 130 kg.

Measurement of 0.13m^3 to be converted to kg using the table.

To convert cubic meters to kilograms, multiply the value in cubic meters by the density of the ingredient and then multiply the result by 1000.

You can use the conversion formula :

kilograms = cubic meters × density of the ingredient × 1000

According to the table given 1 m^3 = 1 KL = 1000 kg

Here, we are given 0.13m^3,

which means it equals = 0.13 KL

and hence it equals  0.13 * 1000 = 130kg

So, 0.13m^3 = 130 kg.

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5 + 7x + 10 = −41 what is the answer I don’t understand

Answers

answer:

[tex]15 + 7 \times = - 41 \\ 7 \times = - 41 - 15 \\ 7 \times = - 56 \\ \times = - 8[/tex]

Answer:

Step-by-step explanation:

I believe you need to just combine like terms:

5 + 7x +10 = -41

Try to get the 7x alone:

7x + 15= -41

To get 7x alone completely have it alone on the side move the 15 to the other side of the =.

7x +15 = -41

    -15     -15

you'll get

7x= -55

then you need to get x all alone so divide the 7from both sides

7x=-55

/7    /7

Your solution will be:

x=-7.857 round to whichever place you need

There question I need help on is “What is the ratio of the number of bananas to the total number of pieces of fruit?”

Answers

Answer: 3:12    math is power

Answer:

3:12

Step-by-step explanation:

not sure if you have to reduce but if you have simplify it it would be 1/4

Marie ran 5.9 miles on Tuesday. This was 1.9​ miles less than she ran on Monday. How many miles did she run on Monday?

Answers

Answer:

7.8 miles

Step-by-step explanation:

5.9 + 1.9 = 7.8miles

Joni worked 14 hours more than Dominic last month. If Joni worked 7 hours for every 3 hours that Dominic worked, how many hours did they each work?

Answers

Answer:

look at the multiple of 3 and seven and find which number in the 7 multiple equal 14 more.

Use the figure below to complete the following problem.
Given:
ZH=2x+60
LT=x+ 30
HALT is a
H
ZA =
O 30
045
O 60

Answers

The value of angle A is 60.

In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

We have the angles as:

∠H = 2x + 60

∠T = x + 30

Now, HALT is a parallelogram.

Therefore, angles H and T are supplementary.

So,

∠H + ∠T = 180

2x + 60 + x + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90 / 3

x = 30

Substituting the value of x in the angles, we get:

∠H = 2x + 60

∠H = 2(30) + 60

∠H = 60 + 60 =120

∠T = x +30

∠T = 30 + 30

∠T = 60

Now, angles T and A are congruent angles.

Therefore, ∠T = ∠A

∠A = 60

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A ball is thrown up in the air from the top of a building. The function h(t) = -5t²+10t + 80 models the height of the ball, in feet, after t seconds. Graph this function.
What is the maximum height reached by the ball?

Answers

Answer:

Step-by-step explanation:

h(t)=-5t²+10t+80=-5(t²-2t+1-1)+80

=-5(t²+2t+1)+5+80

=-5(t-1)²+85

maximum height reached=85 ft

3. The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400 cars is sh 3,740,000 and that of making 1000 cars is sh 7,100,000. Find the cost of making 2500cars.

Answers

Step-by-step explanation:

since the process is defined by a constant term plus a variants term, the equation looks like

costs(c) = k + a×c

3,740,000 = k + 400a

7,000,000 = k + 1000a

let's simply subtract the guys from the second equation

7,000,000 = k + 1000a

- 3,740,000 = -k - 400a

------------------------------------

3,260,000 = 0 + 600a

600a = 3,260,000

a = 5,433.333333... 5,433 1/3

3,740,000 = k + 400×5,433.333333...

k = 3740000 - (400×5,433.333333...) =

= 1,566,666.66666...

so, the function is

costs(c) = 1,566,666.66666... + 5,433.333333... × c

therefore,

costs(2500) =

= 1,566,666.66666... + 5,433.333333... × 2500 =

= sh 15,150,000

Jordan jogs 6.9 miles each day. How many miles does he jog in 8 days

Answers

Answer: 55.2.

Based on the given conditions, formulate: 6.9 * 8 Calculate the product or quotient:55.2get the result

Answer:

55.2 miles

Step-by-step explanation:

6.9 x 8 = 55.2

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Consider the line y = 6x-9.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:

Answers

Answer:

Gradient of parallel line: 6

Gradient of perpendicular line: -1/6

Step-by-step explanation:

The gradient is the value of m in the equation format y = mx + c.

Parallel lines share the same gradient, with just the y-axis intercept (c value) changing.

The gradient of a line perpendicular to a line is found by taking the negative reciprocal of the original line's gradient. A reciprocal is a essentially fraction flipped over. For example 3/2 becomes 2/3. 6 can be expressed as 6/1 (as every whole number can be divided by 1), so the reciprocal of that is 1/6. The negative version of 1/6 is -1/6.

I need help to find the perimeter of this triangle

Answers

Answer:

3(x+1)

Step-by-step explanation:

The perimeter of triangle is equal to sum of all side of triangle.

perimeter of triangle=(x-3)+x+(x+6)

on simplify

=3x+3

=3(x+1)

so, perimeter of triangle is equal to

=3(x+1)

The grid above shows the graph of the parent function f(x) = |x| and a translated functions graph.
Write the equation for the translated graph.

Answers

The equation of the translated graph is g(x) = |x + 2| + 1

How to write the equation of the translated graph?

The parent function is given as

f(x)= |x|

From the graph, we can see that the parent function f(x) is translated as follows:

2 units left1 unit up

This is represented as

(x, y) = (x + 2, y + 1)

So, we have

g(x) = |x + 2| + 1

Hence, the equation of the translated graph is g(x) = |x + 2| + 1

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3/2(6x+2)=-3(x-1) need help with this

Answers

Answer:

x=0

Step-by-step explanation:

:)

Answer:

[tex]{ \tt{ \frac{3}{2}(6x + 2) = - 3(x - 1) }} \\ \\ { \tt{3(3x + 1) = - 3(x - 1)}} \\ { \tt{3x + 1 = - (x - 1)}} \\ { \tt{3x + 1 = - x + 1}} \\ { \tt{3x + x = 0}} \\ { \tt{x = 0}}[/tex]

Can someone tell me if this is right if not can u help me

Answers

Answer:

It is incorrect. It is supposed to be set at -8 to 9 but instead it is at -8 to 7.

The decimal should go up 2 places higher!

Step-by-step explanation:

Which of the following could be the equation of the graph shown below? Check all that apply.
(Picture included)

Answers

The equations that could represent the graph shown are:

A. -4x + 2y = -6

C. y = 3x - 2

How to Determine the Equation of a Graph?

The equation of a linear graph, in slope-intercept form, can be written as y = mx + b, where:

b is the point on the y-axis that the line intercepts, which is called the y-intercept of the graph.m is the slope of the graph, which is the rise/run along the line.

Given the graph in the diagram, it would have a positive slope and a negative y-intercept.

A. -4x + 2y = -6

Rewrite in slope-intercept form

2y = 4x - 6

y = 4x/2 - 6/2

y = 2x - 3 [positive slope and negative y-intercept]

B. 2x - 3y = -9

Rewrite in slope-intercept form

-3y = -2x - 9

y = 2/3x + 3 [positive slope and positive y-intercept]

C. y = 3x - 2 [positive slope and negative y-intercept]

D. y = -10 is a horizontal line.

Therefore, the equations that could represent the graph shown are:

A. -4x + 2y = -6

C. y = 3x - 2

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IM TIMED PLEASE HELP
Find the value of x if U is between T and V, TU=7x+35,UV=4(x+7),and TU≅UV .

Multiple choice questions.
A)
−3

B)
−7/3

C)7/3

D)
3

Answers

The value of x if U is between T and V is -7/3

How to determine the value of x?

The given parameters are:

U is between T and V,

TU = 7x + 35

UV = 4(x + 7)

TU ≅ UV

The above means that

7x + 35 = 4(x + 7)

Open the brackets

7x + 35 = 4x + 28

Evaluate the like terms

3x = -7

Divide both sides by 3

x = -7/3

Hence, the value of x if U is between T and V is -7/3

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Exercise
Squats
Crunches
Lunges
Curls
Time (h)
0.08
0.03
0.04
0.05
Javier likes to work out for 1 hour. If he
doesn't use the full hour on his exercises, he
runs on a treadmill for the remaining time. If
he completed 3 repetitions of each exercise,
how long did he run on the treadmill on
Monday? (Example 1)

Answers

By addition of all the exercise and substracting it from 1 hourJavier runs on treadmill on Monday is 0.40 hour.

Now According to the question javier completed 3 repetitions of each exercise so by multiplication time taken by javier to complete each exercise is as follow;

Squats = 0.8*3= 0.24 hour

Crunches = 0.03*3 = 0.09 hour

Lunges = 0.04*3 = 0.12 hour

curls = 0.05*3 = 0.15 hour

we can calculate total time taken to complete all exercise by Addition is,

0.24 + 0.09 + 0.12 + 0.15

0.60 hour

time taken on treadmill by javier;

1 hour - 0.60 hour

0.40 hour

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a) Find The rate of change of f.

b) Express f in the form f(x) = ax + b

Answers

Answer:

this is hard , I suggest you see a tutor

8,282 in verbal form

Answers

Eight thousand two hundred and eighty two

Eight thousand two hundred eighty two

HELP ASSAPP PLSASEEE

Answers

Answer:

(-2,-2)

Step-by-step explanation:

For a cartesian plane, the solutions to 2 lines is where the 2 lines intercept.

Where this interception point is put into a coordinate (x,y)

Which in this case, the point of intersection is found to be (-2,-2) (Read from the graph)

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