Please show work so I can see how to do it.

(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

answer: qc and de are congruent

hope i ! : )

answer: number of steps anna and todd walk 150 and 250 respectively.

step-by-step explanation:

since we have given that

for every 3 steps of anna's steps , todd made 5 steps .

so, there will be ratio i.e.

so, the number of steps anna walk = 3x

the number of steps todd walk = 5x

according to question,

so,

number of steps anna walk is given by

number of   steps todd walk is given by