D, E, F
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(2) 14. m∠E = 92°; obtuse. 18. angle measure = 90. 15. m∠G = 41°; acute 16. m∠T = 152°; obtuse 17–20. Answers will vary.. 19. angle measure = 180. 17. angle measure < 90 20. 90 < angle measure < 180. Section 12.1 BJU Press. Unauthorized reproduction prohibited..
(3) 21. 31°. 30. 6. 22. 65°. 31. 10. 23. 73°. 32. 15. 24. 139°. 33. x + k. 25. m∠DPA = 90°, right. 34.. 26. m∠BPC = 40°, acute. 35. 1170 ft.3. 27. m∠CPD = 23°, acute. 36. 2385 ft.3. 28. 1. 37. 2690 ft.3. 29. 3. 38. $96; 150%. n(n − 1) 2. Section 12.1 BJU Press. Unauthorized reproduction prohibited..
(4) 39. $120; 40. 46. y; 0. 40. $62.50; $87.50. 47. IV. 41. $360. 48. II. 42. $8000. 49. x–axis. 43. {(–2, 7), (–1, 5), (0, 3), (1, 1), (2, –1)}. 50. III. 44. R = {–1, 1 , 3, 5, 7} 45. Yes, no two ordered pairs have the same x-coordinate. Section 12.1 BJU Press. Unauthorized reproduction prohibited..
(5) 12.2 Pairs of Angles. 1. 20°. 9. 154°. 2. 8°. 10. 176°. 3. 61°. 11. 82°. 4. 27°. 12. 31°. 5. 13°. 13. 45°. 6. 81°. 14. 90°. 7. 105°. 15. adjacent. 8. 62°. BJU Press. Unauthorized reproduction prohibited..
(6) 16. Answers will vary. ∠XYW, and ∠XYZ. 21. 37° 22. 143° 23. transversal 24. parallel lines. 17. 4 pairs 18. 2 pairs 19. 4 20. 143°. 25. angles on opposite sides of the transversal 26. angles inside the parallel lines 27. angles on opposite sides of the transversal and outside the parallel lines Section 12.2. BJU Press. Unauthorized reproduction prohibited..
(7) 28. angles on the same side of the transversal and on the same side of the other lines 29. corresponding 30. alternate interior 31. alternate exterior 32–38. Reasons may vary. 32. 79°, supplement of ∠1 33. 79°, vertical to ∠4 or supplement of ∠1. 34. 101°, corresponding to ∠1 35. 79°, supplement of ∠8 36. 101°, alternate interior to ∠1 37. 79°, vertical to ∠5 38. 101°, corresponding to ∠6 or vertical to ∠1 39. 32°; complement: 58°; supplement: 148° Section 12.2. BJU Press. Unauthorized reproduction prohibited..
(8) 40. 143°; supplement: 37°. 48. yes. 41. 13°; complement: 77°, supplement: 167°. 49. yes. 42. 79°; complement: 11°; supplement: 101°. 51. 4. 43. 37° 44. 53° 45. 53° 46. 37°. 50. yes. 52. –1 53. Fr: 22%; So: 32%; Jr: 28%; Sr: 18% 54. Fr: 79.2°; So: 115.2°; Jr: 100.8°; Sr: 64.8°. 47. no Section 12.2 BJU Press. Unauthorized reproduction prohibited..
(9) 55.. 56.. Section 12.2 BJU Press. Unauthorized reproduction prohibited..
(10) Problem Solving 12—Organize Data with Diagrams. 1. Anne: flute; Doug: trumpet; John: clarinet 2. Frank: Ford; Orin: Plymouth; Chris: Buick; Paresh: Chevrolet 3. 15 people 4. 9 students 5. Mr Carter: pastor; Mr Peek: song leader; Mr. Lopez: youth pastor BJU Press. Unauthorized reproduction prohibited.. 6. 1 person 7. Aaron: Jackson; Jeff: Athens; Lori: Liberty; Nancy: Newark 8. Stephanie and Ashleigh are sisters and they like lemonade. Belinda likes root beer and is not related to anyone else. Heather likes cola and is Ashleigh's and Stephanie's cousin..
(11) 12.3 Polygons. 1. a, b, c. 9. equilateral. 2. c. 10. scalene. 3. a, b, d; a. 11. acute. 4. b, d. 12 obtuse. 5. 5; 5. 13. right. 6. 3. 14. Answers will vary.. 7. 180° 8. isosceles. BJU Press. Unauthorized reproduction prohibited..
(12) 15. Answers will vary.. 21. true 22. 360° 23. 540°. 16. m∠A + 41 + 112 = 180°; m∠A = 27°. 24. 1,260° 25. 120°. 17. true. 26. 162°. 18. false. 27. 144°. 19. true. 28. 6; 27. 20. false. 29. 9; 54 Section 12.3. BJU Press. Unauthorized reproduction prohibited..
(13) 30. 2; 5 31. 58° 32. 144° 33.. 180( n − 2) n. 34. n – 3 35.. 38. (a) no; (b) yes 39. (a) yes; (b) no 40–41. Ordered pairs will vary; possible values are given 40. (–1, –4), (0, –1), (1, 2). n( n − 3) 2. 36. 32.9 lb./ft.3 37. 22.1 lb./ft.3 Section 12.3 BJU Press. Unauthorized reproduction prohibited..
(14) 41. (–3, 3), (0, 2), (3, 1). 44. $70,399.88 45. 3.9 × 1019 46. 5.91 × 106 47. 1.62 × 104. 42. $500. 48. 2.6 × 105. 43. $26,532.98. Section 12.3 BJU Press. Unauthorized reproduction prohibited..
(15) 12.4 Perimeter and Circumference. 1. true. 10. 7.5 ft.; 3.7 ft.. 2. false. 11. 52 ft.. 3. true. 12. 58 in.. 4. false. 13. 57 cm. 5. 50.24 ft.. 14. 99.2 cm. 6. 56.52 in.. 15. 82 units. 7. 1.57 in.. 16. 82 units. 8. 12.7 ft.; 6.4 ft.. 17. 34.9 units. 9. 0.6 mi.; 0.3 mi.. 18. 53 units. BJU Press. Unauthorized reproduction prohibited..
(16) 19. 103.96 units. 28. They have equal lengths.. 20. 174.2 units. 29. perimeter of small square < circle’s circumference < perimeter of large square.. 21. 43.5 units 22. 38 units 23. 5.5 ft. 24. 8.3 ft. 25. 37.6 m by 9.4 m 26. equilateral triangle 27. right triangle. 30. larger circumference is twice the smaller 31. larger perimeter is three times the smaller 32. larger area is nine times the smaller 33. 41.5 ft. Section 12.4. BJU Press. Unauthorized reproduction prohibited..
(17) 34. 720 revolutions. 42. 8.3%. 35. about 100.5 ft.. 43. 30%. 36. 41p ≈ 128.74 units. 44. x = − or –0.8. 4 5. 37. 63.7 m; 127.4 m 38. 7 FEUs without any weight restrictions 39. 47 FEUs without any weight restrictions 40. 25% 41. 20%. 1 2. 45. x = 2 or 2.5 46. x = –2 47. m = –1 48. m = 0 49. m =. 1 2. Section 12.4 BJU Press. Unauthorized reproduction prohibited..
(18) 12.5 Congruence and Similarity. 1. CW. 10. ∠E. 2. ∠V. 11. MN. 3. PB. 12. ∠D. 4. ∠X. 13. FE. 5. ∠C. 14. ∠A. 6. HC. 15. ∠V. 7. ∠N. 16. WU. 8. MZ. 17. WV. 9. ∠C. 18. nABC ≅ nFED. BJU Press. Unauthorized reproduction prohibited..
(19) 19. nRST ~ nVUW. 28. x = 18, y = 10. 20. x = 8, y = 5. 29. x = 15, y = 12. 21. x = 24, y = 20. 30. no. 22. x = 12, y = 5. 31. yes. 23. x = 12, y = 10. 32. 35, 45, and 65. 24. x = 9, y = 12. 33. yes. 25. x = 50, y = 12 26. x = 27, y = 50 27. x = 6, y = 32. 34. y =. 5 x 8. or y =. 8 x 5. 35. 15 TUEs; Yes, only 13 high cubes are needed. Section 12.5. BJU Press. Unauthorized reproduction prohibited..
(20) 36. 45 cartons; no; 60 FEUs. 41. (3, 0), (0, 5). 37. 13, 14, and 15 38. at most $575 for the loveseat and $725 for the sofa 39. at least $1.90 for a large and $1.10 for a small 40. y =. 3 − x 8. 4 5. 42. m = ; (0, –4). +3. Section 12.5 BJU Press. Unauthorized reproduction prohibited..
(21) 43. not real 44. 17 45. 29 46. not real. Section 12.5 BJU Press. Unauthorized reproduction prohibited..
(22) 12.6 Special Right Triangles. 1. x = 6 2. 9. 5 3 and 10. 2. x = 3. 10. 1.5 and 1.5 3. 3. x = 4, y = 2 3. 11. 8. 4. x = 2, y = 2 3. 12. 5.5. 5. x = 5. 13. 9 2. 6. x = 7, y = 14. 14. 12 2. 7. 7 2. 15. 6. 8. 1. 16. 34. BJU Press. Unauthorized reproduction prohibited..
(23) 17. 9 3 and 18. 26. 7 and 14. 18. 7 3 and 14. 27. hypotenuse: 12 2 ≈ 17.0; other leg: 12. 19. 5.6 3 and 11.2 28. both legs: 9.5 2 ≈ 13.4 20. 3 and 2 3 21. 9.5 and 9.5 3. 29. long leg: 7 3 ≈ 12.1; hypotenuse: 14. 22. 3 and 3 3. 30. short leg:. 23. 10.2 and 10.2 3 24. 3.5 3 and 10.5. 20 3 ≈ 11.5; 3 40 3 ≈ 23.1 hypotenuse: 3. 25. 16 and 32 Section 12.6 BJU Press. Unauthorized reproduction prohibited..
(24) 31. short leg: 16; long leg: 16 3 ≈ 27.7 32. x = 8.6, y = 7.4 33. x = 3.5 34. x = 5.8, y = 8.2 35. x = 6.2, y = 10.7 36. long leg: 15 ; hypotenuse: 2 5 ; sides: 2.2, 3.9, 4.5. 37. long leg: 2 21; hypotenuse: 4 7 ; sides: 5.3, 9.2, 10.6 38. short leg: 20; hypotenuse: 40; sides: 20, 34.6, 40 39. (a) 37,500 tn.; (b) 12.5 tn.; (c) about 118 ft. 40. (a) 47.5 ft.; (b) 14.76 tn.. Section 12.6 BJU Press. Unauthorized reproduction prohibited..
(25) 41. rise of –2 with run of 3, or rise of 2 with run of –3; y-intercept is (0, 1). 45. 5 and 6. 42.. 47. 7.6. 46. 10 and 11. 48. 3.5 49. x = 81 43.. 1 ; 2. (0, –3). 50. no real solution. 44.. Section 12.6 BJU Press. Unauthorized reproduction prohibited..
(26) 12.7 Coordinate Geometry. 1. 4. 10. (–2, 5). 2. 5. 11. (–1, 0). 3. 7. 12. (0, –6). 4. 9. 13.. 5. 6. 14. 2 10 ≈ 6.3. 6. 5. 15. 10. 7. (2, 5). 16.. 10 ≈ 3.2. 17.. 149 ≈ 12.2. 8. (–6, –2) 9. (4, 2) BJU Press. Unauthorized reproduction prohibited.. 34 ≈ 5.8.
(27) 18.. 2 ≈ 1.4. 27. (1.3, 8.1). 19.. 305 ≈ 17.5. 28. (4.2, 1.9). 20. 2 37 ≈ 12.2. 29. AB ≈ 12.2; BC = 5; AC ≈ 9.4. 21. (3.5, 9.5) 22. (6, 7) 23. (4, 6) 24. (–3.5, 8.5). 30. AC = 5 5 ; BD = 5 5 ; They are equal. 31. AB = 4; BC = 6.3; AC ≈ 6.3; isosceles. 25. (–8.5, 1) 26. (4.5, –7.5) Section 12.7 BJU Press. Unauthorized reproduction prohibited..
(28) 32–35.. 35. A segment connecting the midpoints of two sides of a triangle will be parallel to and half as long as the third side. 36. 48 ft.. 32. isosceles, with sides 5, 5, and 2 5 33. AB (4.5, 2), BC (2, 2),and AC (3.5, 4). 37. 1,392 ft. 38.. 34. isosceles, with sides of 2.5, 2.5, and 5 Section 12.7 BJU Press. Unauthorized reproduction prohibited..
(29) 39.. 43. It is a function. 44. x = ±3 45. x = ± 31. 40. {(–2, 4), (–1, 1), (0, 0), (1, 1), (2, 4)} 41. R = {0, 1, 4}. 46. no real solution 47. x = ±12. 42.. Section 12.7 BJU Press. Unauthorized reproduction prohibited..
(30) 12.8 Symmetry and Transformations. 1. 1 line 2. 2 lines, 180° rotational, point 3. 1 line 4. 1 line 5. 0 lines, 180° rotational, point 6. 4 lines, 90° rotational, point. BJU Press. Unauthorized reproduction prohibited.. 7. 4 lines, 90° rotational, point 8. 6 lines, 60° rotational, point 9. 8 lines, 45° rotational, point 10. 1 line 11. no symmetry 12. 2 lines, 180° rotational, point.
(31) 13. (–3, –5). 20. 5. 14. (–2, –4). 21. 2. 15. segment with endpoints (1, –5) and (3, 1). 22. 2. 16. segment with endpoints (–2, 4) and (–3, 2) 17. segment with endpoints (1, 5) and (3, –1) 18. segment with endpoints (–2, –4) and (1, –1) 19. 25° angle in quadrant 3. 23. 2 24. 7 25. 6 26. yes, 180° 27. yes, 180° 28. no Section 12.8. BJU Press. Unauthorized reproduction prohibited..
(32) 29. no. 33.. 30. yes, 90°, 180°, 270° 31. yes, 45°, 90°, 135°, 180°, 225°, 270°, 315° 32–38. Answers will vary. Possible answers are given.. 34.. 32.. Section 12.8 BJU Press. Unauthorized reproduction prohibited..
(33) 35.. 37.. 38. 36.. Section 12.8 BJU Press. Unauthorized reproduction prohibited..
(34) 39. n lines of symmetry:. n 2. pass through two opposite vertices and. n 2. are. perpendicular bisectors of opposing sides of the polygon 40. n lines of symmetry; each passes through a vertex and is a perpendicular bisector of the opposite side.. 1 4. 1 4. 41. yes; k = ; y = x 42. no 43. y = 36 44. y = 2.4 45.. Section 12.8 BJU Press. Unauthorized reproduction prohibited..
(35) 46.. 34. 47.. 119. 48. 7 2 49. 2 6 50. 60 6. Section 12.8 BJU Press. Unauthorized reproduction prohibited..
(36) Math and Scripture 12. 1. 50,000 2. 20,000 3. 11,400 ft. (over 2.1 mi.) 4. 10 gates; Sheep, Fish, Old (Yeshanah, Jeshanah), Valley, Dung (Refuse), Fountain, Water, Horse, East, and Miphkad (Inspection, Muster). BJU Press. Unauthorized reproduction prohibited.. 5. Ephraim and Prison (Guard), which brings the total to 12 6. A “breach” is a gap—a broken-down section of a wall where the part on either side of the breach is still standing. 7. enemy attack, much rubbish, conspiracy, and fear..
(37) 8. The work was great and large (extensive damage). 9. 52 days 10. The work was accomplished with God’s help. 10. God often performs His work and purposes by using the hard work and back-breaking efforts of His people.. Math and Scripture 12 BJU Press. Unauthorized reproduction prohibited..
(38) Chapter 12 Review. 1. BC. 7. 25°, acute. 2. ∠EDF or ∠FDE. 8. 110°, obtuse. 3. HG. 9. e. 4. A. 10. c. 5. right. 11. f 12. d. 6. obtuse. 13. a 14. b. BJU Press. Unauthorized reproduction prohibited..
(39) 15. 40°. 24. square. 16. 140°. 25. octagon; 1,080°. 17. 40°. 26. 108°. 18. 140°. 27. 18 in.. 19. 90°. 28. 6, 18. 20. 50°. 29. 63 yd.. 21. obtuse scalene. 30. 5 in.. 22. right isosceles. 31. ∠P ; HZ. 23. acute equilateral. 32. 10 Chapter 12 Review. BJU Press. Unauthorized reproduction prohibited..
(40) 33. 12 34. 50°. 40. the triangle with vertices at (2, –3), (0, –3), and (0, 0). 35. 3 2 ≈ 4.2. 41. parallel; intersecting. 36. 8 3 ≈ 13.9; 16. 42. 2 lines, 180° rotational, point. 37. 5 38. (0, 6.5) 39. the segment with endpoints (–3, 4) and (1, 3). 43. Through the hard work of God's people, the rebuilding of the wall was accomplished in 52 days, bringing glory to God.. Chapter 12 Review BJU Press. Unauthorized reproduction prohibited..
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