Question

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

Answer 1

Answer:

$x=50.6cm$

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;

$\frac{|MB|}{|MP|}=\frac{|MA|}{|MN|}$

$\frac{x}{72.6}=\frac{46.2-14}{46.2}$

This implies that;

$\frac{x}{72.6}=\frac{32.2}{46.2}$

We multiply both sides by 72.6 to get

$\frac{x}{72.6}\times 72.6=\frac{32.2}{46.2}\times72.6$

$\Rightarrow x=50.6$

Hence the value of $x$ is 50.6 cm

Answer 2

46.2 - 14 = 32.2
so
32.2 / 46.2 = x/72.6
x = 32.2 * 72.6 /46.2
x = 50.6

answer
x = 50.6 cm