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Student Activity DOC - TI Education

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... In this paper we considerably generalize this latter statement concentrated only to the equality of the angles. We prove for an analouge statement as the latter theorem on hexagons, for every n and α where α is the angle of the n-sided polygon holding the inequalities: 0 ≤ α ≤ n−2 n Π. Theorem 1 Let ...
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... 7. EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each appro ...
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Geometry RSH Mr. Carman / Mr. Barnett Problem Set 1

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Weber problem



In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.
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