Question

Find the value of x that makes ADEF - AXYZ.

6
2x - 5
F
22
14
IZ
12
X

Answer 1

x = 8

Explanation:

For the triangles to be similar then the ratio of corresponding sides must be equal, that is

`(DF)/(XZ)` =
`(EF)/(YZ)` , substitute values

`(2x-5)/(22)` =
`(6)/(12)` ( cross- multiply )

12(2x - 5) = 132 ( divide both sides by 12 )

2x - 5 = 11 ( add 5 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8