find the measure of each angles

Answer/explanation:

Given:

m<8 = 23°

a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)

m<1 = 180 - 23 = 157°

b. m<2 + m<1 = 180° (linear pair)

m<2 + 157° = 180°

m<2 = 180° - 153° = 23°

c. m<3 = m<1 (vertical angles are congruent)

m<3 = 157°

d. m<4 = m<2 (vertical angles are congruent)

m<4 = 23°

e. m<5 = m<1 (corresponding angles)

m<5 = 157°

f. m<6 = m<8 (vertical angles are congruent)

m<6 = 23°

g. m<7 = m<5 (vertical angles are congruent)

m<7 = 157°

Answer:

D. b = r+z

Step-by-step explanation:

Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;

b-r+r = z+r

Since -r+r = 0, substitute:

b+0 = z+r

b = z+r

Hence the resulting equation when r is added to both sides of the equation is b = z+r

Hence option D is correct

Answer:

Slope = -1

Step-by-step explanation:

[tex](3, -5 ) = (x_1,y_1) \\ (-7,5)=(x_2,y_2)[/tex]

[tex]Slope = \frac{y_2-y_1}{x_2-x_1} [/tex]

Substitute values into the given equation

[tex]slope \: = \frac{5 - ( - 5)}{ - 7 - 3} \\ \\ slope \: = \frac{5 + 5}{ - 7 - 3} \\ \\ [/tex]

[tex]slope \: = \frac{10}{ - 10} \\ slope \: = - 1[/tex]

Answer: $37.20

Step-by-step explanation:

24.50+12.70=37.20

Quinn earned a total amount of $37.20 which is the addition of the earnings from dog-sitting and the recycling cans.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that Quinn earned $24.50 for dog-sitting and $12.70 for recycling cans.

We have to determine the total amount he earned.

The total amount is the addition of the earnings from dog-sitting and the recycling cans.

The total amount = earnings from dog-sitting + earnings from the recycling cans.

The total amount = $24.50 + $12.70

The total amount = $37.20

Therefore, he earned a total amount of $37.20.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

5x-y-36=0

Step-by-step explanation:

y+4=5x-40

5x-y=36

Answer:

{the question is asking to find the value of x not m}

The value of x is 9°

Step-by-step explanation:

8x-2°+47° = 12x+9°{an exterior angle formed by producing the side of triangle is equal to two non adjacent angle}

or, 8x+45° = 12x+9°

or, 8x-12x = 9°-45°

or, -4x = -36°

or, x = -36°/-4

or, x = 9°

Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points)

x hours in a week and there is no overtime and x <= 35 so equation:

E(x) = 16x

Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points)

Regular hours = E(x) = $16 x 35 = $560

T(y) = 21y + 560

Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

21y + 560 = 602

21y = 42

y = 2

Marco worked 37 hours (35 regular plus 2 hours overtime)

8(u-4)=-40

8u-32= -40

8u= -40 + 32

8u= -8

u= -8/8

u= -1

Let's check

8(-1 -4)

-8-32

=-40

So yes u is -1

Answer:

The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.

Answer:

The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.

Step-by-step explanation:

Answer:

y=7x/4-3

Step-by-step explanation:

We can use the formula y=mx+b. m=slope so y=7/4x+b. We know that the line intersects the point (0,-3) so we plug it in, x=0 and y=-3. -3=(7/4)*0+b. b=-3. Therefore, the equation is y=7x/4-3.

Answer:

what is the question??

Step-by-step explanation:

Answer: 60%

Step-by-step explanation:

Given: Climbing rate at the end of week 1 = 25 steps per minute.

Climbing rate at the end of week 4 =   60 steps per minute

The  percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 will be :

[tex]\dfrac{\text{Climbing rate after week 4 - Climbing rate after of week 1}}{\text{Climbing rate after week 1}}\times100[/tex]

[tex]=\dfrac{40-25}{25}\times100\\\\=\dfrac{15}{25}\times100=15\times4=60\%[/tex]

Hence, the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 = 60%

Answer:

x=-3. y=-5

Step-by-step explanation:

Equating both equations,

6x + 13 = 2x + 1

6x - 2x = 1 - 13

4x = -12

x = -3

Plug in the value of x in the given first equation,

y = 6* (-3) + 13 = -18 + 13 = -5

Answer:

{y,x} = {-5,-3}

Step-by-step explanation:

System of Linear Equations entered

y - 6x = 13

 y - 2x = 1

Graphic Representation of the Equations

-6x + y = 13        -2x + y = 1  (attached)

Solve by Substitution

y = 2x + 1

(2x+1) - 6x = 13

   - 4x = 12

4x = - 12

    x = - 3

  y = 2x+1

   x = -3

 y = 2(-3)+1 = -5 (final answer)

hope it helps you!

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Since there are two white bars (which equals 4 each) it equals 8.

There are 2 shaded blocks (which equals -2 each) and that amounts to -2.

8 - 2 = 6

Hope I helped :)

Please consider Brainliest :)

Answer:

mr

Step-by-step explanation:

rm x 3/11 ÷ 3/11

7) 2

8) -3

9) -5/11

10) 2/5

11) -0.5

12) -2

Answer:

-6

Step-by-step explanation:

24/-4=-6

Answer:

-6

Step-by-step explanation:

Have a good day <3

Answer:

i need a graph to answer this

Step-by-step explanation:

Answer:

He can fit 2 more DVD's on the shelf.

And he'll have about 12 mm of extra space left.

Step-by-step explanation:

40×1.4 = 56cm  This is the length of space the 40 DVD's will take up.

60-56 = 4cm  This is the amount of space left.

4/1.4 = 2.857   the number of DVD's that will fit.

Of course, the decimal represents a partial DVD which is worthless.

Just to be sure, 2×1.4 = 2.8cm OK. But  3×1.4=  4.2cm which is 2mm too much

Answer:

15

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Two negatives makes a positive, - (-6) can be rewritten as +6 or simply just 6.

Proceed to do simple calculations, 6 - 4 = 2.

Answer:

2

Step-by-step explanation:

Multiply the -6 by -, and it equals a positive 6 (When you multiply a negative number by a negative number it becomes a positive).

Finish the equation by subtracting 6 - 4 = 2

I know it might not make sense but trust me, I had to do problems like this.

Hope this helps!

-Jerc

Answer:

The answer is 77 degrees

Answer:

A

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

Whole numbers are natural numbers from 0 to infinity. This does not include decimals or fractions. For example, these numbers are 0, 1, 2, 3, 4...

Integers are whole numbers, but they include negative numbers. So, from negative infinity to positive infinity. This does not include decimals or fractions. For example, these numbers are ... -3, -2, -1, 0, 1, 2, 3 ...

A rational number is any number that can be expressed as a fraction. So, this includes -7.5, as -7.5 can be expressed as -[tex]\frac{15}{2}[/tex].

Therefore the answer is -7.5.

Answer:

the first one is (6.5,13)

the second one is (4,4)

Step-by-step explanation:

-2x-0=-13    

-2x=-13 divide -2 by -13

x=6.5

-2(0)-1y=-13

0-1y=-13

-1y=-13

13

so that gives you (6.5,13)

2x+2(0)=8

2x+0=8

2x=8 divide two by eight

x=4

2(0)+2y=8

0+2y=8

2y=8 divide two by eight

y=8

Answer:

4 +5 _7

Step-by-step explanation:

Answer:

4 19/24

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

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Answer:

c = 9

Step-by-step explanation:

2c - 5 = c + 4

Subtract c from both sides

c - 5 = 4

add 5 to both sides

c = 9

Hope this helps:)

Answer:

b=80

Step-by-step explanation:

Answer:

13 cents

Step-by-step explanation:

2.36/18= 0.13

Answer: 6 and 7

Step-by-step explanation:Consider square numbers either side of 44, that is

36 < 44 < 49, then

<  < , that is

6 <  < 7