Question

What is the value of x please help me

Answer 1

Answer:

x = 4

Step-by-step explanation:

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

$\dfrac{LM}{PM}=\dfrac{NM}{QM}$

We have:

LM = 3 + 9 = 12

PM = 9

NM = x + 12

QM = 12

Substitute:

$\dfrac{12}{9}=\dfrac{x+12}{12}$                cross multiply

$9(x+12)=(12)(12)$

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

$\dfrac{9(x+12)}{9}=\dfrac{144}{9}$

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

$x=4$