Use the value of x to find the measure of angle 1 x=25

I’ll just do them both since it’s easier to check.

So to make this easier both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5
5(25)-5
125-5
120

So angle one is 120 degrees.

2x+10
2(25)+10
50+10
60

So angle two is 60 degrees.

Now to check,

120+60=180

1. Evaluate 8a - b if a = 10 and b = 6

8×10 - 6 = 80 - 6 = 74

2. Evaluate expression if a=3 and b=4. 4b-5a

4×4 - 5×3 = 16 - 15 = 1

3. Evaluate Expressions a=3 b=4, 7a + 8b x 2

7×3 + 8×4×2 = 21 + 64 = 85

4.Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.

1 pound is $1.95; 2 pounds is 2×$1.95; 3 pounds is 2×$1.95

So p pounds is p×$1.95 = $1.95p  

5. Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

fewer means less than Kenneth; means  we need tu subtract

g - 29

6)

5 + 36 ÷ 2 × 3 - 4  = 5 + 18 × 3 - 4  = 5 + 54 - 4  = 55

7)

18 + (6 – 2) × 2  = 18 + 4×2 = 18 + 8 = 26

8. Expand

-3( 2r + 5s). = -3×2r + (-3)×5s = -6r - 15s

9. Expand and simplify

5(2 - 3y)  = 5×2 + 5×(-3y) = 10 - 15y

10.Factor:

7x + 49y  = 7×x + 7×7y = 7(x + 7y)

11. Factor

6p − 36  = 6×p − 6×6 = 6(p − 6)

12. Which expression contains exactly 3 terms?

B.  8 + 2y - 5x

13. What is the coefficient of x?  8 + 5x - y

8 + 5x - y

C. 5

14. Identify the "like terms" in the expression: 2x + 4y - 3x + y - x

2x and -3x and -x; 4y and y

15. Factor 5x − 25

 5x − 25  = 5×x − 5×5 = 5(x − 5)