Initial condition:
g+d=700
g=700-d
final condition
d+20=(2g/3)(1/6)
d+20=g/9
9d+180=g, and since g=700-d we can say
9d+180=700-d
10d+180=700
10d=520
d=52, and since g=700-d
g=648
The original number of ducks was 52 and the original amount of geese was 648.
So there were originally (648-52) 596 more geese than ducks.
1. Yes.
cranberry juice : total cups = 1 : 5 in all cases
2. Yes.
cranberry juice : total cups = 2 : 5 in all cases
3. No.
1 : 5 is not the same as 2 : 5.
Answer: ask ur panerts
Step-by-step explanation:
Answer:
I think its neither because
Step-by-step explanation:
Parallel lines and their slopes are easy. Since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel. Perpendicular lines are a bit more complicated.
Answer: A. Use Pythagorean Theorem to prove that KL is equal to c.
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Explanation:
If we could show that KL = c, then we can tie together the following pairs of segments
- EG = KM = a
- GF = ML = b
- EF = KL = c
Then we'd use the SSS congruence theorem to prove the triangles are congruent. The last step is to use CPCTC to conclude that angle EGF is a 90 degree angle.
Keep in mind that we need to know the actual numeric values of 'a' and 'b' to be able to determine the value for c. So without the numbers, the Pythagorean theorem isn't really useful; however, I can see where your teacher is going with this line of logic. Your teacher is effectively just laying out a basic outline more or less.
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Notes:
- SSS = side side side
- CPCTC = corresponding parts of congruent triangles are congruent
