Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles, AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.

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:

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.

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

Solution:

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

Considering:

The solution for x is x = 4 miles.

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