Question

Find the value of z.

Answer 1

Answer:

$\large\boxed{\dfrac{50}{3}}$

Step-by-step explanation:

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

$\dfrac{z}{10}=\dfrac{20}{12}$        cross multiply

$12z=(10)(20)$

$12z=200$         divide both sides by 12

$z=\dfrac{200}{12}\\\\z=\dfrac{200:4}{12:4}\\\\z=\dfrac{50}{3}$