Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's complement. The measure of the angle is 64 degrees greater than its complement.
What is the measure of the complement?

13 degrees

Step-by-step explanation:

Let x be the degree measure of the angle's complement

Then we have the other angle is x + 64

Because the 2 angles complement each other so the sum of the 2 angles is 90

So we have the equation: 2x + 64 = 90

<=> 2x = 26

<=> x = 13

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.

answer: 2530

hope this