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The length of FG for the given line segment is 66 units.

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, that M is the midpoint of FG then

FM = MG

So,

3x - 4 = 5x - 26

5x - 3x =-4 + 26

2x = 22

x = 11

So,

FM = 3x - 4

FM = 3(11) + 4 = 37 units

And,

MG = 5x - 26

MG = 5(11) - 26 = 29 units

So,

FG = FM + MG

FM = 37 + 29 = 66 units.

Hence "The length of FG for the given line segment is 66 units".

For more about line segment,

https://brainly.com/question/25727583

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