Question

point G is on line segment FH. GIVEN FH = 5× +2, GH =5× - 9, AND FG = × + 5, determine the numerical length of FG?

Answer 1

`FH=FG+GH`

repalce the values

`(5x+2)=(x+5)+(5x-9)`

and solve for x

`\begin{gathered} 5x-x-5x=5-9-2 \\ -x=-6 \\ x=6 \end{gathered}`

the value of x is 6

now replacing on FG

`\begin{gathered} FG=x+5 \\ FG=6+5 \\ FG=11 \end{gathered}`