Question

The polygons are similar. Find x and y. The images are not drawn to scale.
A. x = 15, y = 18
B. x = 18, y = 14
C. x = 18, y = 16
D. x = 21, y = 14

Answer 1

The correct answer to this question is letter "D. x = 21, y = 14."
18 : 12
27 : x - 3
24 : y + 2

18 / 12 = 27 / x - 3
3  / 2 = 27 / x - 3
54 = 3x - 9
3x = 54 + 9
3x = 63
x = 21

18 / 12 = 24 / y + 2
3  / 2 = 24 / y + 2
48 = 3y + 6
3y = 48 - 6
3y = 42
y = 14

Answer 2

Answer: D. x = 21, y = 14

Step-by-step explanation:

Here are the first things you need to answer the questions...18:12, 27:x - 3, and 24:y + 2

$\frac{18}{12} = \frac{27}{x-3}$

$\frac{3}{2} = \frac{27}{x-3}$

54 = 3x - 9

3x = 63

x = 21

$\frac{18}{12} = \frac{24}{y+2}$

$\frac{3}{2} = \frac{24}{y+2}$

48 = 3y + 6

3y = 42

y = 14

Hope this helps, have a blessed and wonderful day, as well as a good rest of your 2020 school year!

- Cutiepatutie