Question

1. if g is the mid - point of fh, find fg.

f
11x - 7
g
3x + 9
h

Explanation:

Step1: Use mid - point property

Since G is the mid - point of FH, then FG = GH. So, 11x−7 = 3x + 9.

Step2: Solve for x

Subtract 3x from both sides: 11x−3x−7=3x−3x + 9, which simplifies to 8x−7 = 9. Then add 7 to both sides: 8x−7 + 7=9 + 7, getting 8x = 16. Divide both sides by 8: $\frac{8x}{8}=\frac{16}{8}$, so x = 2.

Step3: Find FG

Substitute x = 2 into the expression for FG. FG=11x−7, so FG = 11×2−7 = 22−7 = 15.

Answer:

15