Question

Can you find the y variable? ​

Answer 1

`\large\boxed{y=27}`

Explanation:

Look at the picture.

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

`(AD)/(DC)=(DC)/(DB)`

We have:

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

Substitute:

`(12)/(18)=(18)/(y)` cross multiply

`12y=(18)(18)`

`12y=324` divide both sides by 12

`y=27`