what is the value of x? enter your answer, as a decimal, in the box.

39.88623234=x

Step-by-step 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

step-by-step explanation:

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