Answer:
FG= 30
Step-by-step explanation:
Point G is on line Segment FH
Given
FH= 4x
GH= x
FG= 2x+10
If the point G is on the line FH then the total of the two line segement FG and GH must be equal to FH
FH= FG+ GH
Putting the values in the above equation:
4x= 2x+10+x
4x= 3x+10 Solving for x
10= 4x-3x
10= x
FG= 2x +10
FG = 2(10) +10 Putting the value of x
FG= 20+10
FG= 30
Check :
FH= 4x= 4(10)= 40
GH= x= 10
FG = FH- GH= 40-10= 30
