Pre-Calculus Homework Solutions 177

Pre-Calculus Homework Solutions 177 - 38. Sample answer:...

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Unformatted text preview: 38. Sample answer: The geometry occurs inside the camera as the image is formed on the film. Answers should include the following. • lens film 2x 1 2(7) 1 or 15 46. The line goes through (3, 0) and (0, 30 m 0 3 or 1 y mx b y 1x ( 3) yx3 47. y y1 m(x x1) y ( 1) 2[x ( 1)] y 1 2x 2 y 2x 1 PQ object • The triangles are similar because the SAS Similarity Theorem holds. The congruent angles are the vertical angles and the corresponding sides are the congruent sides of the isosceles triangles. 39. Let x represent DF. AC DF ¬ 10.5 x¬ AB DE 6.5 8 48. 5 49. 10 5 15x 9x VW WX R 70 70 56 7 5 Practice Quiz 2 EC AE . 18 12 16 4 m m 4 2 16m 12m PQT and PT PQT PRS. Then PS 10 2x 1 10 4 2x 1 6 10 2x 1 14 2x 7 20x VZW ZW YW . 30 6x 24 30 24 9x 54 x6 3x 6 3(6) 6 or 12 x4 6 4 or 10 45. RS QT, so 1 12(DB) 144 DB 12 AB AD DB 8 12 or 20 2. AB AD DB 20 4 DB 16 DB EC DE BC, so DB AD AE . lengths, MN OP. X. So, 160 2 5 DB 8 LN LM 15 LN 12 NP . MO 5 or 3. NP 4 or 3. Thus, LN NP . Since the sides have proportional V 80 2 1. DE BC, so DB AD 42. There is not enough information given to determine whether MN is parallel to OP. 43. In order to show MN OP, we must show that Y and 1 Page 323 is not parallel to OP. XYW. Then VW XW 3x 6 6 x4 5 40 2 The pattern is to add 5 then subtract 1. The last number was obtained by adding 5, so the next number is obtained by subtracting 1. So, it will be 13 1 or 12. The next number is obtained by adding 5, so it will be 12 5 or 17. LN LM 7 LN 9 NP . MO 7 or 1. NP 7 . Since LN NP , the sides are not proportional and MN Z 33 7 The numbers are multiplied by 2. The next number will be multiplied by 2. So, it will be 160 2 or 320. The next number will also be multiplied by 2. So, it will be 320 2 or 640. 5 4 9 8 13 50. 0 41. LO LM MO 14 7 MO 7 MO LP LN NP 16 9 NP 7 NP In order to show MN OP, we must show that 44. VZ YX, so 26 7 20 2 Page 323 Maintain Your Skills LM MO LM MO 19 7 The numbers increase by 7. The next number will increase by 7. So, it will be 33 7 or 40. The next number will also increase by 7. So, it will be 40 7 or 47. 84¬ 6.5x 12.9¬ x 40. B; let x be one of the two numbers that are the same. Then x x 3x 180, so 5x 180 or x 36. So, the numbers are 36, 36, and 108. The answer is B. LM MO LM MO 12 7 3). S 32 4m 16 32 16 12m 48 m4 3. XY XV VY 30 9 VY 21 VY XZ XW WZ 18 12 WZ 6 WZ In order to show YZ VW, we must show that QTP. So, PQ . PR XV VY XV VY 28x 14 8x 14 8x x 9 XW XV 3 XW 12 21 or 7 . WZ WZ . VY 6 or 2. Thus, XW WZ so the sides are not proportional. YZ is not parallel to VW. 179 Chapter 6 ...
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