Answer:
[tex]\boxed{x = 7}[/tex]
Step-by-step explanation:
ΔJKL ~ ΔMNP
So, the sides of both of the triangles are proportional.
Taking proportionality of their sides.
[tex]\frac{JL}{JK} = \frac{MP}{MN}[/tex]
=> [tex]\frac{20}{25} = \frac{4x-4}{30}[/tex]
Cross Multiplying
20 * 30 = 25(4x-4)
600 = 100x - 100
Adding 100 to both sides
600+100 = 120x
700 = 100x
Dividing both sides by 100
700/100 = x
x = 7
