Because point F is on the line segment EG, the numerical length of FG is 4 units
The given parameters are
FG = 3x - 5
EF = x
EG = 5x - 8
Point F is on the line segment EG
So, we have
EG = EF + FG
This gives
5x - 8 = x + 3x- 5
Evaluate the like terms
x = 3
Substitute x = 3 in FG = 3x - 5
FG = 3 x 3 - 5
Evaluate
FG = 4
Hence, the numerical length of FG is 4 units
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