In the diagram g|| h, m<1=(4x+36) and m<2=(3x-3) What is the measure of <3

Mathematics College

In the diagram g|| h, m<1=(4x+36) and m<2=(3x-3)

What is the measure of <3

Answers

Answer 1

Answer:

60°

Step-by-step explanation:

Since g||h the sum of angle 1 and angle 2 must be equal to 180

4x + 36 + 3x - 3 = 180

7x + 33 = 180

7x = 147

x = 21

The sum of angle 1 and angle 3 is equal to 180 because they are complementary angles

m<1 = 4x + 36 ➡ 4 × 21 + 36 = 120° so angle 3 = 60°

Related Questions

Simplify -51/4-(-71/2). Which of the following is correct

Answers

Answer:

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

(-51/4) + (71/2)

(-51/4) + (142/4)

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)

Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.

Answers

Answer:

Step-by-step explanation:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

The total cost of the fabric is $ 78

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pairs of butterfly wings = 13 pairs

The amount of fabric used in 1 pair of butterfly wings = 3/4 yards

The cost of 1 yard of fabric = $ 8

Now , the equation will be

The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric

= 3/4 x 8

= 3 x 2

= $ 6

Now , the equation is

The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric

The total cost of fabric for 13 pairs of butterfly wings = 13 x 6

= $ 78

Therefore , the cost is $ 78

Hence , The total cost of the fabric is $ 78

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees

B
60 degrees

C
72 degrees

D
90 degrees

Answers

Answer: Your answer is C, 72 degrees.

Step-by-step explanation:

A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.

Cuál es el 30% de 100.000?
Porfaaaaaa ayudenmeeeeeee

Answers

Answer:

Step-by-step explanation:

Change the given equation into slope-intercept form:
1. - 2 + y = -x

Answers

rearrange the equation, so it would be y = -x+2

you want to give it into a y=mx+b form

make a table and graph the solutions of each equation y=3x+1

Answers

Answer:

i can't graph it but i'll give you the points to graph

Step-by-step explanation:

(-2, -5) (-1,-2) (0,1) (1,4) (2,7)

start at the point in bold

Suppose set A contains 336 elements and the total number elements in either set A or set B is 642. If the sets A and B have 78 elements in common, how many elements are contained in set B?

Answers

Answer:

math

Step-by-step explanation:

Which equation is equivalent to the given equation?
–8(x + 13) = 2(x - 7) + 4x

Answers

Answer: Is C

-8x-104=6x-14

Step-by-step explanation: I got the question right

Answer: -8x - 104= 6x - 14

Step-by-step explanation:

-8(x+13) =2(x-7) + 4x

-8x - 104 = 2X - 14 + 4x

-8x - 104 = 6x - 14

15.9687194227 rounded to the nearest tenth

Answers

Answer:

i think its 16

Step-by-step explanation:

Answer:

16.0

Step-by-step explanation:

Nearest tenth place value is the digit directly to the right of the decimal point. Locate the tenth place value. It will be underlined and bolded:

15.968194227

Look at the number directly right of the given term. Note that:

If the digit is 5 or greater, round up.

If the digit is 4 or less, round down.

Since the digit is 6, round up.

15.968194227 rounded to the nearest tenth is 16.0

Find a polynomial function of degree 3 with real coefficients and the numbers 6, 3i as some of its zeros.

Answers

Answer:

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Step-by-step explanation:

A third-order polynomial in standard form is a sum of monomials with natural exponentials such that greatest degree of monomials is 3. This kind of polynomials is described by this definition:

[tex]p_{3}(x) =\Sigma\limits_{i=0}^{3} c_{i} \cdot x^{i}[/tex] (Eq. 1)

Where:

[tex]i[/tex] - Index of a sum component, dimensionless.

[tex]c_{i}[/tex] - i-th coefficient, dimensionless.

Where the highest value of [tex]i[/tex] is the degree of the polynomial.

In addition, the Fundamental Theorem establishes that all polynomials with real coefficients and degree higher than zero have a number of complex roots, an extension of the real set, equivalent to the degree of the polynomial itself.

In our case, we guarantee the existence of three complex roots, of which we know two of them: [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex]. The polynomial can be represented as a product of three binomials:

[tex]p_{3}(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3})[/tex] (Eq. 2)

Where [tex]r_{1}[/tex], [tex]r_{2}[/tex] and [tex]r_{3}[/tex] are the roots of the third order polynomial.

If we know that [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex] and assume that [tex]r_{3} = -i\,3[/tex], the resulting polynomial is:

[tex]p_{3} (x) = (x-6)\cdot (x+i\,3)\cdot (x-i\,3)[/tex]

And by Algebra of real numbers we obtain the polynomial in its standard form:

[tex]p_{3}(x) = (x-6)\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x\cdot (x^{2}+9)-6\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x^{3}+9\cdot x -6\cdot x^{2}-54[/tex]

choose any two points on the graph and do rise over run

How many significant figures are in the number: 9003

Answers

Answer:

Step-by-step explanation:

Karen scored a 76 on an exam meaning is 74 and one standard deviation of eight. Find her Z score.

Answers

Answer:

0.25

Step-by-step explanation:

(76-74)/8

=2/8

=1/4

=0.25

Jacob's hourly salary is $11.00. If Jacob works more than 40 hours a week, then Jacob gets overtime pay at 1 and 1/2 times the regular hourly rate for each hour worked over 40 hours. Last week, Jacob worked 49 hours. What was the total pay last week?

Answers

Answer:

588.50

Step-by-step explanation:

11.00 x 40 = 440

16.50 x 9 = 148.5

Which phrase matches the algebraic expression below? (1 point)
3(x + 7) + 10

Answers

Answer:

Add 10 to three times the value of x minus 7.

Step-by-step explanation:

Answer:

Three times the difference of X and seven plus ten

Step-by-step explanation:

What is 18 x 2 x (3 + 4) x 3 + 6

Answers

Answer:

762

Step-by-step explanation:

[tex]18 \times 2 \times (3 + 4) \times 3 + 6[/tex]

Follow PEMDAS order of operation

[tex]3 + 4 = 7 \\ 18 \times 2 \times 7 \times 3 + 6 \\ 18 \times 2 \times 7 \times 3 = 756 \\ 756 + 6 = 762[/tex]

Answer:

762

Step-by-step explanation:

We need to use BODMAS method

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

__________________

Workout

First Brackets

- (3 + 4) = 7

Then multiplication

18 x 2 = 36

36 x (3 + 4) = 36 x 7 = 252

252 x 3 = 756

Lastly Adding

756 + 6 = 762

Answer = 762

___________________

Hope you understand

:-)

Brian May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost him £340 to make. He knows he wants 80% markup on cost. What price should Brian May ask for the guitar?

Answers

9514 1404 393

Answer:

£612

Step-by-step explanation:

If Brian wants to add 80% of the cost to the cost, the selling price will be ...

£340(100% +80%) = £340·1.80 = £612

Brian May should ask £612 for the guitar.

Solve the system of equations. show your work/explain how you found your answer.
2x-4y=10
x+5=40

Answers

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Work on the second equation first.

x + 5 = 40

Get all variables on one side:

x = 35

You now have the answer for the variable of x, use this on the first equation:

2x-4y=10

2(35)-4y=10

Subtract 70 from both sides:

70-4y=10

Divide both sides by neagtive 4:

-4y=-60

y=15

A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. What integer represents a
loss of 750 points?

Answers

-750 because a loss which is negative and if you do -750-(9000) you will get a total of 9750.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.

What is an integer?

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.

Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.

Hence, the integer that represents a loss of 750 points is -750.

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ2

Question 6 (5 points)
TD
What is the distance between point C and point D?
A) 185 units
O
B) 12 units
C) 17 units
D) 13 units

Answers

Answer:

Step-by-step explanation:

Answer:13

Step-by-step explanation:

The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).

Answers

Putting (-1, -11) in given equation, we get :

-11 = a + -b + c ....1)

Similarly putting (1, −5) and (2, −8) we get :

-5 = a + b + c ....2)

-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :

2( a + c ) = -6

a + c = -3

Solving equation 1 , 2 and 3 ,we get :

a = -2 , b = 3 , c = -6

Therefore, equation of parabola is :

y = -2x² + 3x -6

Hence, this is the required solution.

Other Questions

where is leader is called the speaker Solve for q. HEELLPP As water vapor cools, it ____, forming liquid water. (ANSWER FAST PLEASE!! I WILL GIVE A BRAINLIEST) Which number is NOT a solution for 4x - 2] < 8?A-1B 5C 2.DO Which series of transformations will move the triangle in quadrant I onto the similar triangle in quadrant III Which line is perpendicular to 3y+2x=12?y=-2x+62x+3y=6y+3x=-26x-4y=24 In the early 1800s immigrants from Ireland settled in the north eastern United States resulting inA) an increase in the strength of the union army B) there election to many government positions in the regionC) calls for immigration restrictions by wealthy industrialistD) their competition with free African-Americans from menial jobs 1. What is the solution to(3x - 10x + 5 = 5x + 172Record your answer and fill in the bubbles on the grid below. Be sure to use the correctplace valueOOOOOOOOOOOOOOOOOOOOO2. Rectangle ABCD has a length represented by the expression 2x = 3 and a widthrepresented by the expression 4x + 5 Rectangle PORS has a length represented bythe expression - 1 and a width represented by the expression 3X Which of thefollowing expressions can be used to represent the difference in the perimeters ofRectangle ABCD and Rectangle PORS?A.2x + 1B. 4x + 2C. 20x + 6D. 4x + 6helpppppppp!!! According to the US Constitution, a state can create legislation on issues that Which of the following statements about systems theory are true? Select all that apply.A. Systems theory studies how stress impacts workers .B. When systems work together, they do more than individual components. C. System theory looks at how systems work with other systems. D. If one component of a system is missing, the whole usually improves its performance. Are the givenequations parallel,perpendicular, orneither?y = 3x + 5y = 3x - 7 In what ways was the school progressive and in what ways was it not? Translate this sentence into an equation.Goran's height increased by 13 is 48.Use the variable g to represent Goran's height. A bakery sells, on average, 100 special breads per day and collects with these sales, on average, R $ 300.00. It was found that the quantity of special breads sold daily increases if the price is reduced, according to the equation q = 400 - 100p, in which q represents the quantity of special breads sold daily and p, its price in reais. In order to increase the flow of customers, the bakery manager decided to run a promotion. To do so, it will modify the price of special bread so that the quantity to be sold daily is as large as possible, without decreasing the average daily collection on the sale of this product. The price p, in reais, of the special bread in this promotion should be in the rangea) R $ 0.50 p b) R $ 1.50 p c) R $ 2.50 p d) R $ 3.50 p e) R $ 4.50 p Solve for x in the equation x squared minus 10 x + 25 = 35 What is the main purpose of the Northwest Ordinance? List all territories that becamestates. in the real world humans hear sound as an analog signal. this means the signal is a continuous waveform which is completely processable by human ears. however machines 'hear' sound a little differently as they process sound digitally which is a discrete waveform. when sound is recorded or transmitted electronically the continuous (analog) waveform is sampled to convert it to a discrete (digital) sequence. sampling is the process of reducing a continuous time signal to a discrete-time signal. as the sampling rate increases the sound quality of the recording or transmission will improve. the graphs below represent two different samples of pure tone. sample one is taken 8 times per unit of time. sample two is taken 16 times per unit of time. a) why would sample 2 reproduce a better replication of the pure signal? b) write a sinusoid model for sample 2 What was the song dynasty known for The two triangles shown are similar. Find the value of a/b chris is comparing two music downloading websites. the first site charges a $15 membership fee and then charges $0.50 per song. the second website has no membership fee, but they charge $0.80 per song. how many songs will chris have to download before the two sites charge the same amount