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

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

hdjd

step-by-step explanation: