Question

What is the value of x? Show your work. (The JKL and MNP picture)

Answer 1

`x=7`

Explanation:

see the attached figure to better understand the problem

we know that

Triangles JKL and MNP are similar by AA Similarity Theorem

so

Remember that

If two figures are similar then the ratio of its corresponding sides is proportional

so

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

substitute the given values

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

solve for x

Simplify

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

`4x-4=24`

`4x=24+4`

`4x=28`

`x=7`