Question

GH = 5x + 2 and HI = 9x - 10. If H is the midpoint of GI, find GH.Round your answer to the nearest tenth if necessary.5x + 29x - 10GH

Answer 1

We know that

• H is the midpoint of GI.

Since H is midpoint of GI, that means it divides the segment into two equal parts. In other words, GH is equal to HI.

`\begin{gathered} GH=HI \\ 5x+2=9x-10 \end{gathered}`

Now, we solve for x

`\begin{gathered} 2+10=9x-5x \\ 4x=12 \\ x=(12)/(4)=3 \end{gathered}`

We use this value to find GH

`GH=5x+2=5(3)+2=15+2=17`

Therefore, the right answer is 17.