Lesson 9.2 Checkpoint 1. Does each set of given information guarantee that quadrilateral JKLM is
a parallelogram? Select the correct answer.
M M
A. JN = 25 cm, JL = 50 cm, KN = 13 cm, KM = 26 cm
O Yes
No
o Yes
No
B. ZMJL ZKLJ, JM LK
C. JMJK, KLIM
O Yes
ООООО
No
+
D. ZMJL ZMLJ, ZKJLZKLJ
O Yes
No
O Yes
No
E. AJKN ALMN
Fill in the Quadrilateral Properties Chart to reflect what you learned in this lesson.

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.

if x = 1, then the answer is 3.5