Question

What is the value of x?

Enter your answer, as a decimal, in the box.

Answer 1

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

Answer 2

`x=50.6cm`

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;

`(|MB|)/(|MP|)=(|MA|)/(|MN|)`

`(x)/(72.6)=(46.2-14)/(46.2)`

This implies that;

`(x)/(72.6)=(32.2)/(46.2)`

We multiply both sides by 72.6 to get

`(x)/(72.6)* 72.6=(32.2)/(46.2)*72.6`

`\Rightarrow x=50.6`

Hence the value of
`x` is 50.6 cm