The value of GH is 93.
Given,
Point G is the midpoint of segment FH.
GH= 16x-19 and FG=12x+9.
We need to find GH.
If there is a midpoint between two points the midpoint divided the line between two points into two equal lengths.
Example:
A ________B__________C
AB = BC
We have,
F_______G_______H
G is the midpoint.
GH= 16x-19
FG=12x+9.
FG = GH
16x-19 = 12x+9
16x - 12x = 9 + 19
4x = 28
x = 7
Now,
GH = 16x - 19
= 16 x 7 - 19
= 112 - 19
= 93
Thus the value of GH is 93.
Learn more about midpoint here:
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