Answer:
37.89051724=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
80.5 -35 x
------------- = ----------
70.5 96.6 -x
Simplifying
45.5 x
------------- = ----------
70.5 96.6 -x
Using cross products
45.5 (96.6-x) = 70.5x
Distribute
4395.3 - 45.5 x = 70.5x
Add 45.5x to each side
4395.3 - 45.5 x+45.5x = 70.5x+45.5x
4395.3 = 116x
Divide each side by 116
4395.3/116 = 116x/116
37.89051724=x