By von zur Gathen J., Gerhard J.

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22. 45 23. 65 24. 181 25. 273 26. 04 27. 02 28. 007 29. 003 30. 5 (Hint: Refer to Table R-1) 31. 8 32. 1 33. 3 Concept 4: Converting Percents to Decimals and Fractions For Exercises 34–43, convert each percent to a decimal and to a fraction. 34. The sale price is 30% off of the original price. 35. An HMO (health maintenance organization) pays 80% of all doctors’ bills. 36. The building will be 75% complete by spring. 37. Chan plants roses in 25% of his garden. 38. The bank pays 3 34 % interest on a checking account.

2034 cm3 miL28711_ch00_001-048 38 9/20/06 06:52 AM BA Page 38 CONFIRMING PAGES Chapter R Reference The measure of an angle will be denoted by the symbol m written in front of the angle. Therefore, the measure of ЄA is denoted m1ЄA2. • Two angles are said to be complementary if the sum of their measures is 90°. • Two angles are said to be supplementary if the sum of their measures is 180°. y y x x m(∠ x) ϩ m(∠y) ϭ 90Њ m(∠ x) ϩ m(∠y) ϭ 180Њ When two lines intersect, four angles are formed (Figure R-10).

5 Ϫ 2 3 4 ϭ 16 9 Ϫ 3 4 ϭ 16 ϫ 4 9ϫ3 Ϫ 3ϫ4 4ϫ3 ϭ 64 27 Ϫ 12 12 ϭ 37 1 or 3 12 12 Write the mixed numbers as improper fractions. The LCD is 12. Multiply numerators and denominators by the missing factors from the denominators. Subtract the fractions. Skill Practice Answers 16. 2 miL28711_ch00_001-048 9/20/06 06:51 AM 18 BA Page 18 CONFIRMING PAGES Chapter R Reference TIP: An improper fraction can also be written as a mixed number. Both answers are acceptable. Note that 1 36 1 1 37 ϭ ϩ ϭ3ϩ , or 3 12 12 12 12 12 This can easily be found by dividing.

### Lecture notes on computer algebra 1 by von zur Gathen J., Gerhard J.

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