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denis23 [38]
2 years ago
7

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

Mathematics
1 answer:
kicyunya [14]2 years ago
7 0

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

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