Respuesta :
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".
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