Question

I need help math work (geometry) :P​

Answer 1

x = 6

Explanation:

For the triangles to be similar then the ratios of corresponding sides would be equal, that is

`(DF)/(XZ)` =
`(DE)/(XY)` , substitute values

`(3(x-1))/(7.5)` =
`(10)/(x-1)` ( cross- multiply )

3(x - 1)² = 75 ( divide both sides by 3 )

(x - 1)² = 25 ( take the square root of both sides )

x - 1 = ±
`√(25)` = ± 5 ( add 1 to both sides )

x = 1 ± 5 , then

x = 1 + 5 = 6 or x = 1 - 5 = - 4

But x > 0 then x = 6

For the triangle to be similar then x = 6