Pre-Calculus Homework Solutions 244

Pre-Calculus Homework Solutions 244 - 36. A 2x 2y 40. They...

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36. Opposite sides of a parallelogram are congruent, so A w B w > C w D w and AB 5 CD . Find x. AB 5 ¬ CD 2 x 1 5 5 21 2 x 5 ¬ 16 x 5 ¬ 8 Consecutive angles in a parallelogram are supplementary, so / B is supplementary to / BAD and m / BAD 5 m / CAD 1 m / BAC . Find y . m / BAD 1 m / B 5 ¬ 180 m / CAD 1 m / BAC 1 m / B 5 ¬ 180 21 1 2 y 1 120 5 ¬ 180 2 y 5 ¬ 39 y 5 ¬ 19.5 37. The Distance Formula is d 5 Ï ( x 2 2 w x 1 ) 2 1 w ( y 2 2 w y 1 ) 2 w . The diagonals bisect each other if EQ 5 QG and HQ 5 QF . Find these measures. EQ 5 Ï (3 2 0 w ) 2 1 (1 w 2 5) 2 w 5 5 QG 5 Ï (6 2 3 w ) 2 1 ( 2 w 3 2 1) w 2 w 5 5 HQ 5 Ï (3 2 0 w ) 2 1 [1 w 2 ( 2 w 1)] 2 w 5 Ï 13 w QF 5 Ï (6 2 3 w ) 2 1 (3 w 2 1) 2 w 5 Ï 13 w The diagonals do indeed bisect each other. 38. If EG 5 FH ,the diagonals are congruent. Use the Distance Formula to find EG and FH. d 5 Ï ( x 2 2 w x 1 ) 2 1 w ( y 2 2 w y 1 ) 2 w EG 5 Ï (6 2 0 w ) 2 1 ( 2 w 3 2 5) w 2 w 5 10 FH 5 Ï (0 2 6 w ) 2 1 ( 2 w 1 2 3) w 2 w 5 Ï 52 w 5 2 Ï 13 w No, the diagonals are not congruent, since EG Þ FH .
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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