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Mathematics 13 Online
OpenStudy (waheguru):

I need help solving this

OpenStudy (waheguru):

OpenStudy (anonymous):

c. or b.

OpenStudy (anonymous):

the answer is a

OpenStudy (anonymous):

54 definetly

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

Think of any vertex. It can't connect to itself, nor the two neighboring vertices already connected by edges, but that still leaves 9 vertices to connect to. 12 vertices each connected to 9 other vertices would seem to imply 108 diagonals... except you are double-counting everything (a diagonal from A to B is the same as a diagonal from B to A). So divide this number by 2. Note: The general formula for the number of diagonals in an n-gon is: n(n-3) / 2 Answer: 54 diagonals

OpenStudy (waheguru):

Thanks

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