Question

Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them?

Answer 1

The two friends have the shortest distance between them are Carrie and Nayla.

In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.

The first step is to determine the value of x:

20x + 7) + (5x + 50) + (5x + 3) = 180

Add similar terms togethers

30x + 60 = 180

Combine similar terms

30x = 180 - 60

30x = 120

x = 120 / 30

x = 4

The second step is to determine the value of each angle

Nayla = 20(4) + 7 = 87

Carrie = Second angle = 5(4) + 50 = 70

Maria = Third angle = 180 - (70 + 87) = 23

Nayla and Carrie live closest to each other

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