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hali12

  • 3 years ago

pentagon ABCDE ~ pentagon FGHIJ. Use the figures below to answer the following questions @jim_thompson5910

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  1. jim_thompson5910
    • 3 years ago
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    you're missing the figures

  2. jim_thompson5910
    • 3 years ago
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    or the following questions

  3. hali12
    • 3 years ago
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    sorry i keep getting distracted

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  4. jim_thompson5910
    • 3 years ago
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    that's ok

  5. jim_thompson5910
    • 3 years ago
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    AB corresponds to FG

  6. jim_thompson5910
    • 3 years ago
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    So FG/AB = 6/8 = 0.75 is the number you multiply each side length in the larger pentagon to get the corresponding side length in the smaller pentagon

  7. hali12
    • 3 years ago
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    8?

  8. jim_thompson5910
    • 3 years ago
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    8 times 0.75 = 6

  9. jim_thompson5910
    • 3 years ago
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    oh wait, i read that wrong...one sec

  10. jim_thompson5910
    • 3 years ago
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    oh for some reason, it still works out...lucky coincidence but yes, you multiply by 0.75

  11. hali12
    • 3 years ago
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    oh

  12. jim_thompson5910
    • 3 years ago
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    to go backwards, you divide by 0.75

  13. jim_thompson5910
    • 3 years ago
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    notice how FJ corresponds to AE

  14. jim_thompson5910
    • 3 years ago
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    and FJ = 6 So AE = FJ/0.75 = 6/0.75 = 8 which means AE = 8

  15. hali12
    • 3 years ago
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    so then i had it right?

  16. jim_thompson5910
    • 3 years ago
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    yes, sry i didn't see that til now

  17. hali12
    • 3 years ago
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    ok, cool and for #14 it would be 2.5?

  18. hali12
    • 3 years ago
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    no no no it would be 3

  19. jim_thompson5910
    • 3 years ago
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    which side corresponds to IJ?

  20. hali12
    • 3 years ago
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    CD, so it would make it 3? correct?

  21. jim_thompson5910
    • 3 years ago
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    this is why this problem is a bit confusing

  22. jim_thompson5910
    • 3 years ago
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    the second pentagon should be rotated slightly clockwise so that FG matches up with AB

  23. jim_thompson5910
    • 3 years ago
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    now tell me what ij corresponds to

  24. hali12
    • 3 years ago
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    8

  25. jim_thompson5910
    • 3 years ago
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    did you do the rotation? this will make F the bottom most point

  26. hali12
    • 3 years ago
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    yea

  27. jim_thompson5910
    • 3 years ago
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    so ij corresponds to ???

  28. jim_thompson5910
    • 3 years ago
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    which side from ABCDE

  29. hali12
    • 3 years ago
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    de

  30. jim_thompson5910
    • 3 years ago
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    good

  31. jim_thompson5910
    • 3 years ago
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    now multiply that length by 0.75 to find ij

  32. hali12
    • 3 years ago
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    2.5

  33. jim_thompson5910
    • 3 years ago
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    try it again 5 times 0.75 = ???

  34. jim_thompson5910
    • 3 years ago
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    de = 5

  35. hali12
    • 3 years ago
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    3.75

  36. jim_thompson5910
    • 3 years ago
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    good

  37. hali12
    • 3 years ago
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    fg would be 4?

  38. jim_thompson5910
    • 3 years ago
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    fg corresponds to ???

  39. hali12
    • 3 years ago
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    ab?

  40. jim_thompson5910
    • 3 years ago
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    good FG = 0.75 times AB

  41. hali12
    • 3 years ago
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    6

  42. jim_thompson5910
    • 3 years ago
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    you nailed it

  43. hali12
    • 3 years ago
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    thanks, this will be the last one i promise

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  44. jim_thompson5910
    • 3 years ago
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    The two triangles are similar So AD/ED = BD/CD 35/16 = 25/x Now solve for x

  45. hali12
    • 3 years ago
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    9.6?

  46. jim_thompson5910
    • 3 years ago
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    no

  47. jim_thompson5910
    • 3 years ago
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    35/16 = 25/x 35x = 16*25

  48. hali12
    • 3 years ago
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    7 6/7

  49. jim_thompson5910
    • 3 years ago
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    no it's not any of those answer choices

  50. jim_thompson5910
    • 3 years ago
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    x is the length of CD

  51. jim_thompson5910
    • 3 years ago
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    which isn't listed

  52. hali12
    • 3 years ago
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    16*25=400

  53. jim_thompson5910
    • 3 years ago
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    good

  54. jim_thompson5910
    • 3 years ago
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    35x = 16*25 35x = 400

  55. hali12
    • 3 years ago
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    dfsdfdddddddd

  56. hali12
    • 3 years ago
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    sorry cat walked on the kep board... and i dont get wat i do next

  57. hali12
    • 3 years ago
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    key*

  58. jim_thompson5910
    • 3 years ago
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    that's ok, divide both sides by 35

  59. hali12
    • 3 years ago
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    45 divided by 35, and what else by 35?

  60. hali12
    • 3 years ago
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    11.4

  61. jim_thompson5910
    • 3 years ago
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    ok now subtract this from 25

  62. hali12
    • 3 years ago
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    13.6

  63. jim_thompson5910
    • 3 years ago
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    which is closest to which answer choice?

  64. hali12
    • 3 years ago
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    13 4/7

  65. hali12
    • 3 years ago
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    13.6 is closest to 13 6/7

  66. jim_thompson5910
    • 3 years ago
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    your first response is correct

  67. jim_thompson5910
    • 3 years ago
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    13.6 is closest to 13 4/7

  68. jim_thompson5910
    • 3 years ago
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    which is the answer

  69. hali12
    • 3 years ago
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    13 4/7

  70. jim_thompson5910
    • 3 years ago
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    yes

  71. hali12
    • 3 years ago
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    thank you,... i was just wondering, but are u like a teacher or something?

  72. jim_thompson5910
    • 3 years ago
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    i'm a student learning to become one

  73. hali12
    • 3 years ago
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    your are amazing

  74. jim_thompson5910
    • 3 years ago
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    why thank you, i appreciate the compliment

  75. hali12
    • 3 years ago
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    your are verry verry welcome, you helped me out so much that i officaly have a B in geometry ( summerschool) i had failed it the first time idurring the year, i dont know what i would have done with out you...

  76. jim_thompson5910
    • 3 years ago
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    i'm glad i could help you out, you're very smart and it sounds like you're starting to get the hang of this stuff, which is great

  77. hali12
    • 3 years ago
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    thank you :)

  78. jim_thompson5910
    • 3 years ago
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    you're welcome

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