Question

What are the values of x and y

Answer 1

the 4 th option

Explanation:

Δ DAB and Δ DBC are similar triangles thus the ratios of corresponding sides are equal, that is

`(DA)/(DB )` =
`(DB)/(DC)`, substitute values

`(15)/(8)` =
`(8)/(x)` ( cross- multiply )

15x = 64 ( divide both sides by 15 )

x =
`(64)/(15)`

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and

`(DA)/(DB)` =
`(AB)/(BC)`, substitute values

`(15)/(8)` =
`(17)/(y)` ( cross- multiply )

15y = 136 ( divide both sides by 15 )

y =
`(136)/(15)`

Answer 2

Its the last choice.

Explanation:

Triangles ADB and BDC are similar, so

8/15 = x / 8

15x = 64

x = 64/15.

y/17 = x / 8

y/17 = 64/15 / 8

y/17 = 8/15

15y = 8*17

y = 136/15.