Question

Find the value of z.

Answer 1

`\large\boxed{(50)/(3)}`

Explanation:

If the polygons are similar, then the corresponding sides are in proportion:

`(z)/(10)=(20)/(12)` cross multiply

`12z=(10)(20)`

`12z=200` divide both sides by 12

`z=(200)/(12)\\\\z=(200:4)/(12:4)\\\\z=(50)/(3)`