Question

Find the sides, and the value of x and y.

Answer 1

`\huge\boxed{x=15;\ y=4}`

Explanation:

Proportion:

`(x)/(18)=(5)/(6)\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}`

`(y)/(5)=(12)/(x)`

substitute x = 15:

`(y)/(5)=(12:3)/(15:3)\\\\(y)/(5)=(4)/(5)\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}`