Question

9. If H is the midpoint of GI, find GH.

5x + 2
9x - 10
FIND GH
I inserted the graph

Answer 1

Answer:17

Step-by-step explanation: trust me bro

Answer 2

GH = 17

Explanation:

Given that H is the midpoint of segment GI, and GH = 5x + 2, HI = 9x - 10, GH is congruent to HI. This implies GH = HI.

Therefore:

`GH = HI`, which will give us the following equation:

`5x + 2 = 9x - 10`

Solve for x

`5x + 2 - 9x = 9x - 10 - 9x` (subtracting 9x from each side)

`-4x + 2 = -10`

`-4x + 2 - 2 = -10 - 2` (subtracting 2 from each side)

`-4x = -12`

`(-4x)/(-4) = (-12)/(-4)` (dividing both sides by -4)

`x = 3`

GH = 5x + 2

Plug in the value of x

GH = 5(3) + 2 = 15 + 2

GH = 17