how many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times

1 answer:

6 0

I believe you would do 2 times 3, which gives you 6. 3 is for the number of coin tosses, and 2 is the number of sides of a coin.

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A) give stating reasons five other angles each equal to x b) prove that AECF is a parallelogram

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Simple Proof:

a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and x. So now we can conclude that angel x is equal to angel 2.

b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is NOT a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )

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