Question

Please, Please help me.
What is the value of x? Show all of your work.

Answer 1

x = 7

Explanation:

ΔKLJ and ΔNPM are similar (Angle-Angle). Therefore the sides are in proportion:

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

We have:

MP = 4x - 4

JL = 20

MN = 30

JK = 25

Substitute:

`(4x-4)/(20)=(30)/(25)` cross multiply

`25(4x-4)=(20)(30)` use distributive property

`(25)(4x)+(25)(-4)=600`

`100x-100=600` add 100 to both sides

`100x=700` divide both sides by 100

`x=7`