Please, Please help me.
What is the value of x? Show all of your work.
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Answer:
Step-by-step explanation:
ΔKLJ and ΔNPM are similar (Angle-Angle). Therefore the sides are in proportion:
[tex]\dfrac{MP}{JL}=\dfrac{MN}{JK}[/tex]
We have:
MP = 4x - 4
JL = 20
MN = 30
JK = 25
Substitute:
[tex]\dfrac{4x-4}{20}=\dfrac{30}{25}[/tex] cross multiply
[tex]25(4x-4)=(20)(30)[/tex] use distributive property
[tex](25)(4x)+(25)(-4)=600[/tex]
[tex]100x-100=600[/tex] add 100 to both sides
[tex]100x=700[/tex] divide both sides by 100
[tex]x=7[/tex]