Proof: all radii of a circle are congruent, so , and since and , then are right triangles by the congruency theorem. the corresponding sides of the triangles, and , are congruent, so zv = yx. thus, we know that 2zv = 2yx by the multiplication property of equality. by a congruency theorem that states, "if a diameter of a circle is perpendicular to a chord, then the " bisects and bisects , so vu = 2zv and xw = 2yx. therefore, we can conclude that vu = xw, or . a. hl (hypotenuse-leg) . . diameter bisects the chord and its other chord b. sss (side-side-side) . . diameter bisects the arc and its measurement c. hl (hypotenuse-leg) . . diameter bisects the chord and its arc d. asa (angle-side-angle) . . chord but not the diameter

answer is:

1.75 pounds

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.