Question

Somebody help me please!!!!

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

Answer 1

`\text{Numerical length of $\overline{FG}$ = 7}`

Explanation:

We are given the following data:

`EG = 5x + 7\\EF = 5x\\FG=2x-7\\`

Point F is the line segment
`\overline{EG}`

So F is between E and G

We get the relationship
EG = EF + FG

→ 5x + 7 = 5x + (2x - 7)

→ 5x + 7 = 5x + 2x - 7
→ 5x + 7 = 7x - 7

Moving x terms to the left and the constant 7 from left to the right gives
→ 5x - 7x = -7 +(-7)

→ -2x = -14

→ x = -14/-2 = 7

Therefore length of FG = 2x - 7

= 2(7) - 7

= 14 - 7

= 7