AADE and ABC are similar. Which best explains why the slope of the line between
points A and D is the same as the slope between points A and B?
Points A, D and B are on the hypotenuses of similar triangles.
Therefore, AD = AB, so the slope of AD is the same as the
slope of AB.
Ay
B
The triangles are similar, so the sides have equal lengths.
Therefore, AD = DB, so the slope of AD is the same as the
slope of AB.
0
The triangles are similar, so the sides are proportional:
DE BC
AE AC
Therefore, the slope of AD is the same as the slope
of AB.
EC
The triangles are similar, so the sides are proportional:
AE = AC and DE = BC. Therefore,
so the slope of
AD is the same as the slope of AB.
DE
AE
ВС
AC

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.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

faster, im not sure why but i know it is faster

answer: answer is b.

[m < b = 120º]

step-by-step explanation: