Question

Can you find the y variable? ​

Answer 1

Answer:

$\large\boxed{y=27}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

$\dfrac{AD}{DC}=\dfrac{DC}{DB}$

We have:

$AD=12,\ DC=18,\ DB=y$

Substitute:

$\dfrac{12}{18}=\dfrac{18}{y}$             cross multiply

$12y=(18)(18)$

$12y=324$            divide both sides by 12

$y=27$