Answer:
39.88623234=x
Explanation:
We can use similar triangles and proportions to solve. Put the same side of the small triangle over the large triangle.
MA MB
------- = ----------
MN MP
71.5 -22 x
------------- = ----------
71.5 97.5 -x
Simplifying
49.5 x
------------- = ----------
71.5 97.5 -x
Using cross products
49.5 (97.5 -x) = 71.5x
Distribute
4826.25-49.5x = 71.5x
Add 49.5x to each side
4826.25-49.5x+49.5x = 71.5x+49.5x
4826.25 =121x
Divide each side by 121
4826.25/121 =121x/121
39.88623234=x