For isosceles triangle XYZ with and point W on base , is an altitude. If XZ = 12 and YW = 8, find XY.

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10

Mathematics

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Provide a response as requested.The city council gave a questionnaire to its citizens, asking them to rank their priorities for next year's budget. People were asked to rank the following four choices: (P)olice, (R)oads, (S)chools, and (T)rash removal. The results are summarized in the table below.Number of Ballots  State who the Borda count winner is. Explain whether this satisfies the majority, Condorcet, and independence-of-irrelevant-alternatives criteria.

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Mathematics

Decide whether or not the points are the vertices of a right triangle.(9, -1), (11, 3), (13, 2)

A. Yes B. No

Mathematics

Solve the problem.Use the graph of y = x2 - 2x - 2 shown to solve the equation 

A. 0, 2 B. -3 C. 1 D. no real-number solutions

Mathematics

Solve the problem.A restaurant offers a choice of 2 salads, 7 main courses, and 4 desserts. How many different choices of food are possible (including single items)?

A. 119 B. 106 C. 69 D. 91

Mathematics