Answer:
x = 7
Step-by-step explanation:
I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.
With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:
[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]
The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.
[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]
I use cross multiplication here:
[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]
