Pre-Calculus Homework Solutions 46

Pre-Calculus Homework Solutions 46 - 26. Given: Prove: 1 1...

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Chapter 2 48 26. Given: / 1 > / 2, / 2 > / 3 Prove: / 1 > / 3 Proof: 27. sometimes 28. always 29. always 30. sometimes 31. sometimes 32. always 33. Given: , ' m Prove: / 2, / 3, / 4 are rt. ? Proof: 34. Given: / 1 and / 2 are rt. ? . Prove: / 1 > / 2 Proof: 35. Given: , ' m Prove: / 1 > / 2 Proof: 36. Given: / 1 > / 2, / 1 and / 2 are supplementary. Prove: / 1 and / 2 are rt. ? . Proof: 37. Given: / ABD > / CBD , / ABD and / CBD form a linear pair Prove: / ABD and / CBD are rt. ? . Proof: AC B D 1 2 12 34 m 1 2 m 1 2 3 Statements Reasons 1 3. m / 1 5 90 1 3. Def. of rt. ? 1 1. , ' m 1 1. Given 1 2. / 1is a right angle. 1 2. Def. of ' 1 4. / 1 > / 4 1 4. Vert. ? are > 1 5. m / 1 5 m / 4 1 5. Def. of > ? 1 6. m / 4 5 90 1 6. Substitution 1 7. / 1 and / 2form a linear pair. / 3 and / 4 form a linear pair. 1 7. Def. of linear pair 1 8. m / 1 1 m / 2 5 180, m / 4 1 m / 3 5 180 1 8. Linear pairs are supplementary. 1 9. 90 1 m / 2 5 180, ,\ 90 1 m / 3 5 180 1 9. Substitution 11. / 2, / 3, / 4, are rt. ? . 11. Def. of rt. ? (steps 6, 10) 10. m / 2 5 90, m / 3 5 90 10. Subt. Prop. Statements Reasons 3. m / 1 5 m / 2 3. Substitution 1. / 1 and / 2 are rt. ? . 1. Given 2. m / 1 5 90, m / 2 5 90 2. Def. of rt. ? 4. / 1 > / 2 4. Def. of > angles Statements Reasons 3. / 1 > / 2 3. All rt. ? are > . 1. , ' m 1. Given 2. / 1 and / 2 are rt. ? 2. ' lines intersect to form 4 rt. ? . Statements
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