Question

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

Answer 1

Answer:

x = 7

Step-by-step explanation:

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

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

We have:

MP = 4x - 4

JL = 20

MN = 30

JK = 25

Substitute:

$\dfrac{4x-4}{20}=\dfrac{30}{25}$           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

$x=7$