Respuesta :

gmany

Answer:

x = 7

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]