Telephone Infrastructure. Suppose there are n cities that
Chapter 12, Problem 29(choose chapter or problem)
Telephone Infrastructure. Suppose there are n cities that are to be connected with telephone wires. Apply mathematical induction to prove that the number of telephone wires required to connect the n cities is given by Assume each city has to connect directly with any other city. 30. Geometry. Prove, with mathematical induction, that the sum of the interior angles of a regular polygon of n sides is given by the formula: for Hint: Divide a polygon into triangles. For example, a four-sided polygon can be divided into two triangles. A ve-sided polygon can be divided into three triangles. A six-sided polygon can be divided into four triangles, and so on. n 3.( n - 2)(180) n(n - 1) 2
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