Question

Please help What is the value of x show work

Answer 1

`\boxed{x = 7}`

Explanation:

ΔJKL ~ ΔMNP

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

Taking proportionality of their sides.

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

=>
`(20)/(25) = (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