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:

$\dfrac{y}{10}=\dfrac{y+4}{15}$      cross multiply

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

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

$5y=40$           divide both sides by 5

$\boxed{y=8}$

$\dfrac{x}{4}=\dfrac{6}{8}$            cross multiply

$8x=(4)(6)$

$8x=24$           divide both sides by 8

$\boxed{x=3}$