What is the value of x? Show your work.

Question

asked Aug 17, 2020 134k views

1 Answer

Azodium · Answer 1 · 2020-08-21T02:32:50+0000

Answer:

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:

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