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Point F is on line segment EG. given FG=3x-5 EF=x and EG = 5x-8 determine the numerical length of FG

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MrRoyalidn

Because point F is on the line segment EG, the numerical length of FG is 4 units

How to determine the numerical length of FG?

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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