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Pre-Calculus Homework Solutions 86

# Pre-Calculus Homework Solutions 86 - 42 Use the Distance...

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38. Given: n EUI is equiangular. Q w L w i U w I w Prove: n EQL is equiangular. Proof: 39. Given: m / NPM 5 33 Prove: n RPM is obtuse. Proof: / NPM and / RPM form a linear pair. / NPM and / RPM are supplementary because if two angles form a linear pair, then they are supplementary. So, m / NPM 1 m / RPM 5 180. It is given that m / NPM 5 33. By substitution, 33 1 m / RPM 5 180. Subtract to find that m / RPM 5 147. / RPM is obtuse by definition. n RPM is obtuse by definition. 40. TS 5 Ï [ 2 7 2 w ( 2 4)] w 2 1 (8 w 2 14) w 2 w 5 Ï 9 1 36 w or Ï 45 w SR 5 Ï [ 2 10 w 2 ( 2 7 w )] 2 1 ( w 2 2 8) w 2 w 5 Ï 9 1 36 w or Ï 45 w S is the midpoint of R w T w . UT 5 Ï [0 2 ( w 2 4)] 2 w 1 (8 2 w 14) 2 w 5 Ï 16 1 3 w 6 w or Ï 52 w VU 5 Ï (4 2 0 w ) 2 1 (2 w 2 8) 2 w 5 Ï 16 1 3 w 6 w or Ï 52 w U is the midpoint of T w V w . 41. AD 5 ¬ ! 1 0 2 } a 2 § } 2 2 1 ( § 0 2 b ) § 2 § 5 ¬ ! 1 2 } a 2 } 2 2 § 1 ( 2 b § ) 2 § 5 ! } a 4 2 } 1 b § 2 § CD 5 ¬ ! 1 a 2 } a 2 § } 2 2 1 ( § 0 2 b ) § 2 § 5 ¬ ! 1 } a 2 } 2 2 1 § ( 2 b ) 2 § 5 !
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