MATH 201 Midterm: MATH 201 Exam 6
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This test is closed book and closed notes. For full credit show all of your work (legibly!). Each problem is worth 10 points (a total of 50 points): find 235(6) + 1221(3). Adding them their total is 95 + 52 = 147. All that remains is to write this in base-5. So that our desired number (reading backwards the remainders) is 1042(5). 5: every non-intersecting n-sided polygon p with n 4 sides has a chord, i. e. , two nonconsecutive vertices v and w so that the line segment joining v and w is completely inside of p . Use this to prove the following: for n 3, the sum of the interior angles of a non-intersecting n-sided polygon is equal to (n 2)180 . We observe that for the base case n = 3 the result is the well known fact that the sum of the interior angles of a triangle is 180 .