Answer:
30 units
Step-by-step explanation:
If point G is on line segment FH, then point G lies between points F and H.
Segment Addition Postulate states that given 2 points F and H, a third point G lies on the line segment FH if and only if the distances between the points satisfy the equation FG + GH = FH.
By segment addition postulate,
[tex]FG+GH=FH[/tex]
Given
FH = 4x,
GH = x,
FG = 2x + 10,
then
[tex]4x=x+2x+10\\ \\4x=3x+10\\ \\4x-3x=10\\ \\x=10\\ \\FG=2x+10=2\cdot 10+10=30\ units[/tex]
