Question

Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,

Answer 1

To solve this question, we need to understand the concept of midpoint.

Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:

• $AC = CB$
• $AC = \frac{AB}{2}$
• $CB = \frac{AB}{2}$

Segment:

C is the midpoint of the segment AB, which means that:

The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.

$AC = CB$

The distance of the midpoint to one of the endpoints is half the total distance, that is:

$AC = \frac{AB}{2}$

$CB = \frac{AB}{2}$

Solution:

We have to solve for x, considering one of the three relations.

Considering:

$AC = 4x, CB = 12 + x$

$AC = CB$

$4x = 12 + x$

$4x - x = 12$

$3x = 12$

$x = \frac{12}{3}$

$x = 4$

The solution for x is x = 4 miles.

A similar question is found at brainly.com/question/24114584