Which of the following is a list of equivalent numbers? a) 1.25, 1 1/4, 12.5% b) 0.125, 1/4, 125% c) 12.5, 12 1/2, 125% d) 1.25, 1 1/4, 125%

That's choice d. Let's go through them

a) 1.25, 1 1/4, 12.5%

1.25 = 1 1/4, but 12.5%=0.125

b) 0.125, 1/4, 125%

125%=1.25, not equal to the other two

c) 12.5, 12 1/2, 125%

125%=1.25 not 12.5

d) 1.25, 1 1/4, 125%

Yes, those are all 5/4

d

(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

step-by-step explanation: