3 years ago

Find the value of z.

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

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

Step-by-step explanation:

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

$\dfrac{z}{10}=\dfrac{20}{12}$ <em>cross multiply</em>

$12z=(10)(20)$

$12z=200$ <em>divide both sides by 12</em>

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

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