Question

These triangles are similar. find Y and X

Answer 1

It these triangles are similar, then the sides of the triangles are in proportion:

`(y)/(10)=(y+4)/(15)` cross multiply

`15y=10(y+4)` use distributive property

`15y=10y+40` subtract 10y from both sides

`5y=40` divide both sides by 5

`\boxed{y=8}`

`(x)/(4)=(6)/(8)` cross multiply

`8x=(4)(6)`

`8x=24` divide both sides by 8

`\boxed{x=3}`