For a polygon to be convex means that given any two points on or inside the polygon, the line join- ing the points lies entirely inside the polygon. Use mathematical induction to prove that for every integer n > 3, the angles of any n-sided convex polygon add up to 180(n- 2) degrees

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A: PROOF :

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A: The parity of a-c will be odd. We will prove this by using the fact that a-b is odd and b-c is even.

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Q: 1) Prove that Ym,n EN such thert m¢ nt = n<m using the princdple of in duction!

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Q: EOC)-)- Σ n n –i, i=0

A: Expand the term by binomial expansion:

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Q: = [c6, d5, e¹] Consider the bags A = [a³, b¹, c²], B = [b¹, c³, d³] and C= (CB)|? So, we want to…

A: Consider the bag as follows: A=a9, b4, c2, B=b1, c5, d8, C=c6, d5, e4 Thus, the number of elements…

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A: