What are the values of rand s?

s=15

r=10

Step-by-step explanation:

What we know)

The measure of a line is 180º

If two parrel lines are cut by a transversal, the corresponding angles are congruent (corresponding angles postulate)

What we can figure out)

The angle measuring 3r+3s and 6r+3s are on the same line, so

3r+3s+6r+3s=180

3r+3s and 6r+s are corresponding, so

3r+3s=6r+s

Solve)

Now, we just need to solve the equations.

3r+3s+6r+3s=180 can be condensed into 9r+6s=180 by combining like terms. Then, you can divide by 3 to get 3r+2s=60

3r+3s=6r+s can be turned into 2s=3r by subtracting 3r and s.

So we have 3r+2s=60 and 2s=3r

We can substitute 2s for 3r

2s+2s=60

4s=60

s=15

Then, we can plug s=15 into the equation

2(15)=3r

30=3r

r=10

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.

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step-by-step explanation: