Question

Please help What is the value of x show work

Answer 1

Answer:

$\boxed{x = 7}$

Step-by-step explanation:

ΔJKL ~ ΔMNP

So, the sides of both of the triangles are proportional.

Taking proportionality of their sides.

$\frac{JL}{JK} = \frac{MP}{MN}$

=> $\frac{20}{25} = \frac{4x-4}{30}$

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