Answer:
A, C, F
Step-by-step explanation:
JK is proportional to PQ, so that would be 8/x. Then, JL is proportional to PR, which would be 10/5. So, the answer is: 8/x = 10/5
Then, C would also be correct as KL is proportional to QR, and JK is proportional to PQ.
Finally, F is correct as JK to KL is proportional to PQ to QR, as JK is proportional to PQ, and KL is proportional to QR.
Answer:
The answer is 2 cakes.
Step-by-step explanation:
What we know:
-Each cake requires 2 1/2 cups of sugar.
-Sheila has 7 1/3 cups of sugar.
What we need to know:
-How many cakes can Sheila make with 7 1/3 cups of sugar.
Remember:
-You must make a whole cake.
Show your work:
-I am going to convert the fraction into a decimal.
-2 1/2=2.5 and 7 1/3=7.3
-2 cakes will require 5 cups of sugar and you will remain with 2.3 cups of sugar.
-You <em>cannot </em>use 2.3 cups of sugar to make a cake. It must be in full.
Answer:
The answer is True
Step-by-step explanation:
All rational numbers are integers
5) 5! = 5*4*3*2*1
6) use the 6 choose 2 combination formula: C(6,2) = 6!/(2!)(6-2)!
= 6!/(2!)(4!)<span />
Answer:
D is correct.
Step-by-step explanation:
According to euclidean geometry we can draw one line per point of space that is parallel to another line. Also we know that in a triangle if we draw a line that connects the two middle points of two sides of the triangle, this line is parallel to the third side of the triangle. (This is a theorem so we already have a line parallel to ML for sure)
Which means that a line that connects the middle of LK (18/2 = 9) and the middle of MK(17/2=8.5) would be parallel to ML. However NO is indeed in the middle of LK but not in the middle of MK. If NO was parallel to ML then we would have two lines parallel to ML which would contradict the axiom of euclidean geometry that we said in the beginning.
Since we proved that NO isnt parallel to ML it is obvious that MLK and NOK are not same triangles(because they cannot have equal angles). So we discard sentences A,B and C while we proved that D is right.
