In this problem, there are 2 similar triangles: triangle FMN and triangle FGH.
Their ratio to each other is 1:2 which we know by the midpoints.
If they have a ratio of 1:2, line segment GH is the 2 times of line segment MN.
To find x:
[tex]8x + 2 = 2 \times 13 \\ \\ 8x + 2 = 26 \\ \\ 8x = 24 \\ \\ x = 3[/tex]
