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Carrie works due south of her apartment. Her friend Sarah works due east of the
apartment. They leave for work at the same time. By the time Carrie is 5 miles from
their apartment the distance between them is 1 mile more than Sarah's distance
from the apartment. How far from the apartment is Sarah?

Respuesta :

1370113

Answer:

3 miles

Step-by-step explanation:

5-1+2=3

ogorwyne

From the calculation done using the pythagoras theorem, the distance from Sarah's apartment is 12m

What is the pythagoras theorem

This theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Using the pythagoras theorem

BC² = AB² + AC²

The sides of the triangle are x, x - 1 and 5

x² = (x-1)² + 5²

x² = (x-1)(x-1) +25

x² = x²-x-x -1 + 25

collect like terms

2x = 24

divide through the equation by 2

x = 24/2

= 12m

Read more on distance here: https://brainly.com/question/2854969

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