ANSWER
x=50.6
EXPLANATION
Triangle ABM and triangle NPM are similar.
Therefore the corresponding sides are in the same proportion.
[tex] \frac{MB}{MP} = \frac{MA}{MN} [/tex]
MA=46.2-14=32.2
MP=72.6
MN=46.2
We substitute these values into the equation to obtain,
[tex] \frac{x}{72.6} = \frac{32.2}{46.2} [/tex]
We multiply both sides by 72.6 to obtain,
[tex]x= \frac{32.2}{46.2} \times 72.6[/tex]
[tex]x=50.6[/tex]
