Question

The triangles are similar. What is the value of x? Show your work.

Answer 1

`x=7`

Explanation:

Since ΔJKL is similar to ΔMNP, the ratio of the corresponding sides will be in the same proportion;

This implies that;

`(|JK|)/(|MN|)=(|JL|)/(|MP|)`

We substitute the given length to obtain;

`(25)/(30)=(20)/(4x-4)`

We cross multiply to get;

`25(4x-4)=20* 30`

Expand the brackets to get;

`100x-100=600`

Group like terms to get;

`100x=600+100`

`\Rightarrow 100x=700`

Divide both sides by 100 to get;

`x=7`