In the diagram below of triangle $C D E, F$ is the midpoint of $\overline{C E}$ and $G$ is the midpoint of $\overline{D E}$. If $F G=-2 x+10$, and $C D=-7 x+29$, what is the measure of $\overline{F G}$ ? Answer Attempt 1 out of 2

Step 1 ：We are given that F and G are midpoints of the sides of triangle CDE. Therefore, the line segment FG is parallel to CD and FG is half the length of CD.

Step 2 ：We are given the lengths of FG and CD in terms of x as FG = -2x + 10 and CD = -7x + 29.

Step 3 ：Since FG is half the length of CD, we can set up the equation -2x + 10 = 0.5(-7x + 29).

Step 4 ：Solving this equation gives us x = 3.

Step 5 ：Substituting x = 3 into the equation for FG, we get FG = -2(3) + 10 = 4.

Step 6 ：Thus, the measure of \(\overline{F G}\) is \(\boxed{4}\).