Camilla and Aisha are sisters and go to the same school. This
morning, Camilla decided to bike to school, and Aisha decided to
walk. They left home at the same time. Camilla’s speed was 6.5
miles per hour, and Aisha’s speed was 2 mph. When Camilla reached
the school, Aisha was 1.5 miles behind. How far away from their
house is the school?

b

step-by-step explanation:

the answer is c. 23/3

(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

0.85% : )

step-by-step explanation: