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Pre-Calculus Homework Solutions 36

Pre-Calculus Homework Solutions 36 - 13 Explore There are...

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Chapter 2 38 13. Explore: There are five points, and each pair is to be connected by a segment. Plan: Draw a diagram. Solve: Connect each point with every other point. Then, count the number of segments. Between every two points there is exactly one segment. For the five points, ten segments can be drawn. Examine: The ten segments that can be drawn are AB , AC , AD , AE , BC , BD , BE , CD , CE , and DE . 14. Explore: There are six points, and each pair is to be connected by a segment. Plan: Draw a diagram. Solve: Connect each point with every other point. Then, count the number of segments. Between every two points there is exactly one segment. For the 6 points, 15 segments can be drawn. Examine: The 15 segments that can be drawn are AB , AC , AD , AE , AF , BC , BD , BE , BF , CD , CE , CF , DE , DF , and EF . 15. Explore: There are seven points, and each pair is to be connected by a segment. Plan: Draw a diagram Solve: Connect each point with every other point. Then, count the number of segments. Between every two points there is exactly one segment. For the 7 points, 21 segments can be drawn.
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