Question

Point F is on line segment \overline{EG}

EG

. Given FG=3x-5,FG=3x−5, EF=x,EF=x, and EG=5x-8,EG=5x−8, determine the numerical length of \overline{FG}.

FG

.

Answer 1

Answer: EF=6

Step-by-step explanation:

Answer 2

4 Units

Explanation:

EF=x

FG=3x-5

EG=5x−8

Since F is on line segment
`\overline{EG}`

EG=EF+FG

5x−8=x+3x-5

5x-8=4x-5

Collect like terms

5x-4x=-5+8

x=3 Units

Therefore:

`\overline{FG}=3x-5\\=3(3)-5\\=9-5\\$=4 Units`