Question

What is the value of x? Enter your answer, as a decimal, in numerical value only.

Answer 1

Answer:

x = 67.5

Step-by-step explanation:

If a line is parallel to a side of a triangle and intersects the other 2 sides , it divides those sides proportionally.

AB is parallel to NP and intersects the other 2 sides , then

$\frac{MA}{AN}$ = $\frac{MB}{BP}$ ( substitute values )

$\frac{71.5-22}{22}$ = $\frac{x}{97.5-x}$ , that is

$\frac{49.5}{22}$ = $\frac{x}{97.5-x}$ ( cross- multiply )

49.5(97.5 - x) = 22x ← distribute left side

4826.25 - 49.5x = 22x ( add 49.5x to both sides )

4826.25 = 71.5x ( divide both sides by 71.5 )

67.5 = x