Question

What is the value of x? Show your work.

Answer 1

Answer:
`x=7`

Explanation:

You can observe in the figure that the triangle JKL and the triangle MNP are similar, then, you can set up the following proportion:

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

You can identify that:

`JK=25\\MN=30\\\\JL=20\\MP=4x-4`

Knowing this, you can substitute values:

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

The final step is to solve for "x" in order to find its value.

Then, you get this result:

`(20)((30)/(25))=4x-4\\\\(600)/(25)=4x-4\\\\24+4=4x\\\\(28)/(4)=x\\\\x=7`