A 30° – 60° – 90° triangle is shown below. Find the value of x.

5

Step-by-step explanation:

In a 30-60-90 triangle, the side opposite the 30 degree angle (x) is equal to n, the side opposite the 60 degree angle (y) is equal to n, and the hypotenuse (10) is equal to 2n

knowing this, set 10 = 2n

n = 5

since we want to find x, the side opposite the 30 degree angle, this is equal to n = 5

x = 5

answer: 59

step-by-step explanation:

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.