Answer:
[tex]x=50.6cm[/tex]
Step-by-step explanation:
Triangle MAB is similar to triangle MNP
Since the triangles are similar, the corresponding ratios are in the same proportion.
Therefore we can write the relation;
[tex]\frac{|MB|}{|MP|}=\frac{|MA|}{|MN|}[/tex]
[tex]\frac{x}{72.6}=\frac{46.2-14}{46.2}[/tex]
This implies that;
[tex]\frac{x}{72.6}=\frac{32.2}{46.2}[/tex]
We multiply both sides by 72.6 to get
[tex]\frac{x}{72.6}\times 72.6=\frac{32.2}{46.2}\times72.6[/tex]
[tex]\Rightarrow x=50.6[/tex]
Hence the value of [tex]x[/tex] is 50.6 cm
