Answer:
x = 8
Step-by-step explanation:
For the triangles to be similar then the ratio of corresponding sides must be equal, that is
[tex]\frac{DF}{XZ}[/tex] = [tex]\frac{EF}{YZ}[/tex] , substitute values
[tex]\frac{2x-5}{22}[/tex] = [tex]\frac{6}{12}[/tex] ( 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
