Question

if g is the midpoint of fh, find fg.
11x - 7 3x + 9
f g h

Explanation:

Step1: Set up the equation

Since G is the mid - point of FH, then FG = GH. So, we set up the equation $11x - 7=3x + 9$.

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: $x=\frac{16}{8}=2$.

Step3: Find FG

Substitute x = 2 into the expression for FG. FG=$11x - 7$, so FG=$11\times2-7=22 - 7 = 15$.

Answer:

15