Question

Im not sure how to do this

Answer 1

see explanation

Explanation:

Since the figures are similar then then corresponding sides are in proportion , that is

`(NP)/(ST)` =
`(NM)/(SR)` , substitute values

`(x)/(25)` =
`(18)/(30)` ( cross- multiply )

30x = 450 ( divide both sides by 30 )

x = 15

Similarly

`(UT)/(QP)` =
`(NM)/(SR)` , that is

`(y)/(15)` =
`(18)/(30)` ( cross- multiply )

30y = 270 ( divide both sides by 30 )

y = 9

The similarity ratio is the ratio of corresponding sides , that is

`(NM)/(SR)` =
`(18)/(30)` =
`(3)/(5)`

SRUT is
`(3)/(5)` of NMQP