Question

These two polygons are similar y = [?]

Answer 1

Answer:

w = 9

x = 12

y = 5

z = 3

Step-by-step explanation:

The corresponding sides of similar polygons are proportional.

Therefore:

$\frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2}$

Solve for each variable as follows:

✔️$\frac{w}{3} = \frac{6}{2}$

Multiply both sides by 3

$w = \frac{6}{2} \times 3$

$w = 3 \times 3$

$w = 9$

✔️$\frac{x}{4} = \frac{6}{2}$

Multiply both sides by 4

$x = \frac{6}{2} \times 4$

$x = 3 \times 4$

$x = 12$

✔️$\frac{15}{y} = \frac{6}{2}$

Cross multiply

$y \times 6 = 2 \times 15$

$6y = 30$

Divide both sides by 6

$y = 5$

✔️$\frac{9}{z} = \frac{6}{2}$

Cross multiply

$z \times 6 = 2 \times 9$

$6z = 18$

Divide both sides by 6

$z = 3$