∠a=10x+24 ∘ space, start color blued, angle, a, equals, 10, x, plus, 24, degree, end color blued \qquad \green{\angle b=6x + 72^\circ} ∠b=6x+72 ∘ space, start color green, angle, b, equals, 6, x, plus, 72, degree, end color green

m∠B=144°

Step-by-step explanation:

see the attached figure to better understand the problem

we have

Two parallel lines cut by a transversal.

so

m∠A=m∠B -----> by alternate interior angles

substitute the given values and solve for x

Find the measure of m∠B

m∠B=(6x+72)°

substitute the value of x

m∠B=(6(12)+72)°=144°

answer: was that a question or answer?

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.