What type of angle relationship is shown?

straight angle

Step-by-step explanation:

9x_15+2x_3=180

11x_18=180

11x=180+18

11x=198

x=198÷11

x=18

The angles are a linear pair.

x = 18

Step-by-step explanation:

The angles are a linear pair, meaning the angles add up to 180 degrees.

(9x - 15) + (2x - 3) = 180

11x - 18 = 180

11x = 198

x = 18

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0