Question

I need help math work (geometry) :P​

Answer 1

Answer:

x = 6

Step-by-step explanation:

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

$\frac{DF}{XZ}$ = $\frac{DE}{XY}$ , substitute values

$\frac{3(x-1)}{7.5}$ = $\frac{10}{x-1}$ ( 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 = ± $\sqrt{25}$ = ± 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