SOLUTION: use the combinations formula to write an expression for the number of line segments that join pairs of verticies on an n-sided polygon. use your result from part (a) to write form

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Question 476730: use the combinations formula to write an expression for the number of line segments that join pairs of verticies on an n-sided polygon.
use your result from part (a) to write formula for the numbber of diagonals of an n-sided convex polygon.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
use the combinations formula to write an expression for the number of line segments that join pairs of verticies on an n-sided polygon.
Ans: nC2 = [n(n-1)]/(1*2) = (n/2)(n-1)
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use your result from part (a) to write formula for the number of diagonals of an n-sided convex polygon.
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n of the lines from (a) are sides of the polygon.
# of diagonals is (n/2)(n-1)-n
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cheers,
Stan H.

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