my teacher didn't teach me anything about scale factors and then assigned it to me- pls show work so that I can understand this

x = 9 cm

y = 30 cm

Step-by-step explanation:

Here, we want to get the lengths of the missing sides

Mathematically if two shapes are similar, the ratio of their corresponding sides are equal

Thus, we have that:

15/50 = x/30

50 * x = 15 * 30

x = (15 * 30)/50

x = 450/50

x = 9 cm

Also;

y/50 = 18/30

30 * y = 50 * 18

y = (50 * 18)/30

y = 30 cm