The total length of line segment FH = 140
We have a line segment FH and G is its midpoint such that - FG = 14x + 25 and GH = 73 – 2x.
We have to find FH.
A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
According to question, we have -
FG = 14x + 25.
GH = 73 – 2x.
Since, G is the midpoint of line FH, therefore -
FG = GH
Now -
FG = GH
14x + 25 = 73 – 2x
14x + 2x = 73 - 25
16x = 48
x = 3
Therefore, the total length of the Line segment is -
FG + GH = 14x + 25 + 73 – 2x
Substitute x = 3, we get -
FH = 14 x 3 + 25 + 73 - 2 x 3 = 73 + 67 = 140
Hence. the total length of line segment FH = 140
To solve more questions on Lines and Lengths, visit the link below -
brainly.com/question/16345328
#SPJ1
