Answer :

The value of x for the given line segment will be -3.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given a line segment, AC in between a point B exist

So,

AC = AB + BC

Given that,

AC = 3x + 13

AB=-1+2x

BC=11

So,

3x + 13 = -1+2x + 11

x = -3

Hence "The value of x for the given line segment will be -3'.

For more about line segment,

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