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Pre-Calculus Homework Solutions 173

Pre-Calculus Homework Solutions 173 - 56 If one side of a...

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56. If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. In n BDC , / BCD is opposite a side whose measure is 9, and / CDB is opposite a side whose measure is 13. 9 , 13, so m / BCD , m / CDB . 57. If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. In n BDC , / CBD is opposite a side whose measure is 10, and / BCD is opposite a side whose measure is 9. 10 . 9, so m / CBD . m / BCD . 58. There are 6 equilateral triangles. 59. There are 18 obtuse triangles in the figure, 3 in each equilateral triangle. 60. True; the hypothesis is false, so we cannot say that the statement is false. 61. False; the hypothesis is true, but the conclusion is false. 62. True; the hypothesis is false, so we cannot say that the statement is false. 63.
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