Question

Point F is on line segment EG given EG=5x + 7, EF=5x, and FG=2x - 7, determine the numerical length of FG

Answer 1

Answer:

$FG = 7$

Step-by-step explanation:

Given

$EG = 5x + 7$

$EF = 5x$

$FG = 2x - 7$

Required

Determine the length of FG

Since, F is on segment EG, then

$EG= EF + FG$

Substitute values for EG, EF and FG

$5x + 7 = 5x + 2x - 7$

Collect Like Terms

$5x - 5x - 2x = -7 - 7$

$- 2x = -14$

Solve for x

$x = -14/-2$

$x = 7$

Substitute 7 for x in $FG = 2x - 7$

$FG = 2 * 7- 7$

$FG = 14- 7$

$FG = 7$