Question

What is the value of x please help me

Answer 1

x = 4

Explanation:

ΔLMN and ΔPMQ are similar. Therefore thw sides are in proportion:

`(LM)/(PM)=(NM)/(QM)`

We have:

LM = 3 + 9 = 12

PM = 9

NM = x + 12

QM = 12

Substitute:

`(12)/(9)=(x+12)/(12)` cross multiply

`9(x+12)=(12)(12)`

`9(x+12)=144` divide both sides by 9

`(9(x+12))/(9)=(144)/(9)`

`x+12=16` subtract 12 from both sides

`x=4`