Question

Solve for the values of x and y. Round the answers to the nearest hundredth.​

Answer 1

x = 26, y = 19

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

`(ST)/(NP)` =
`(RS)/(MN)` , substitute values

`(x)/(13)` =
`(32)/(16)` = 2 ( multiply both sides by 13 )

x = 26

and

`(MP)/(RT)` =
`(MN)/(RS)` , substitute values

`(y)/(38)` =
`(16)/(32)` =
`(1)/(2)` ( cross- multiply )

2y = 38 ( divide both sides by 2 )

y = 19