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hali12

  • 2 years ago

In the figure below, all the points are evenly spaced along the line. What is the coordinate of point L?

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  1. hali12
    • 2 years ago
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  2. hali12
    • 2 years ago
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    @jim_thompson5910 can u pleasse help me with a few questions?

  3. completeidiot
    • 2 years ago
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    8+x=L L+x=26 substitute (8+x)+x=26 x is the same for both expressions because the points are equally spaced solve for x, then solve for L

  4. hali12
    • 2 years ago
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    uhhh...

  5. jim_thompson5910
    • 2 years ago
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    the points are evenly spaced, so L is the same distance away from both points B and E

  6. jim_thompson5910
    • 2 years ago
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    So L is the midpoint of BE

  7. jim_thompson5910
    • 2 years ago
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    do you see this?

  8. hali12
    • 2 years ago
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    yea

  9. jim_thompson5910
    • 2 years ago
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    so we can say (B+E)/2 = L or basically take the value of B, add it to E, then divide by 2 to get L

  10. jim_thompson5910
    • 2 years ago
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    what does that give you?

  11. hali12
    • 2 years ago
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    17

  12. jim_thompson5910
    • 2 years ago
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    perfect

  13. hali12
    • 2 years ago
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    sweet

  14. hali12
    • 2 years ago
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    can we do number 4 please?

  15. jim_thompson5910
    • 2 years ago
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    what is the distance from point T to point E

  16. hali12
    • 2 years ago
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    15

  17. jim_thompson5910
    • 2 years ago
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    good, now what's 2/3 of 15?

  18. hali12
    • 2 years ago
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    10

  19. jim_thompson5910
    • 2 years ago
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    so the distance from point T to point P is 10 units (since P is 2/3 of the way from T to E)

  20. jim_thompson5910
    • 2 years ago
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    So just add 10 to the value of T to get your answer

  21. hali12
    • 2 years ago
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    -4

  22. jim_thompson5910
    • 2 years ago
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    good

  23. hali12
    • 2 years ago
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    thanks, im going to post more, maybe u can help me?

  24. jim_thompson5910
    • 2 years ago
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    alright go for it

  25. hali12
    • 2 years ago
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  26. jim_thompson5910
    • 2 years ago
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    tell me what you get for each

  27. hali12
    • 2 years ago
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    1) true 2) True 3) true 4) true 5) False

  28. jim_thompson5910
    • 2 years ago
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    did you mean #5 through #9?

  29. jim_thompson5910
    • 2 years ago
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    and not #1 through #5

  30. hali12
    • 2 years ago
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    yea

  31. jim_thompson5910
    • 2 years ago
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    how did you get #3 to be true?

  32. hali12
    • 2 years ago
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    cause the line goes through the AM

  33. jim_thompson5910
    • 2 years ago
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    does it? take a very close look at it

  34. jim_thompson5910
    • 2 years ago
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    try to rotate it in your mind

  35. jim_thompson5910
    • 2 years ago
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    better yet, get a piece of paper, label it and try it out

  36. hali12
    • 2 years ago
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    k

  37. hali12
    • 2 years ago
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    ohhhhhh i see its like putting a pencil through a peice of paper

  38. jim_thompson5910
    • 2 years ago
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    exactly, so do they intersect?

  39. hali12
    • 2 years ago
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    no

  40. hali12
    • 2 years ago
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    are the rest correct?

  41. jim_thompson5910
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    good

  42. jim_thompson5910
    • 2 years ago
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    why is the last one false?

  43. hali12
    • 2 years ago
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    idk, i wanted to put true, but something was teling me to put false

  44. jim_thompson5910
    • 2 years ago
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    do E, D and C all lie on the same line?

  45. hali12
    • 2 years ago
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    yes

  46. jim_thompson5910
    • 2 years ago
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    so they are collinear by the very definition of collinear

  47. jim_thompson5910
    • 2 years ago
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    points are collinear if they all lie on the same straight line

  48. jim_thompson5910
    • 2 years ago
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    Example |dw:1343852694256:dw|

  49. jim_thompson5910
    • 2 years ago
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    Example of non-collinear points |dw:1343852731003:dw|

  50. jim_thompson5910
    • 2 years ago
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    Notice how there is no way to draw a straight line through all of the points, so those points are noncollinear

  51. hali12
    • 2 years ago
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    ohhh

  52. jim_thompson5910
    • 2 years ago
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    make sense?

  53. hali12
    • 2 years ago
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    ya

  54. jim_thompson5910
    • 2 years ago
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    ok great

  55. hali12
    • 2 years ago
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  56. jim_thompson5910
    • 2 years ago
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    again tell me what you get

  57. hali12
    • 2 years ago
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    p?

  58. jim_thompson5910
    • 2 years ago
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    for #12 right?

  59. hali12
    • 2 years ago
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    ya

  60. jim_thompson5910
    • 2 years ago
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    yes, P is coplanar with T, R and Q

  61. jim_thompson5910
    • 2 years ago
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    they all lie in the same plane (the back face)

  62. hali12
    • 2 years ago
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    13) rt?

  63. jim_thompson5910
    • 2 years ago
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    no, what do the back face and the bottom face have in common (where do they intersect)?

  64. hali12
    • 2 years ago
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    pt?

  65. jim_thompson5910
    • 2 years ago
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    you got it

  66. jim_thompson5910
    • 2 years ago
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    that bottom edge in the back is what they have in common

  67. hali12
    • 2 years ago
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  68. hali12
    • 2 years ago
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    #14) 5?

  69. jim_thompson5910
    • 2 years ago
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    #14 how many faces does the figure have?

  70. hali12
    • 2 years ago
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    2?

  71. hali12
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    3

  72. jim_thompson5910
    • 2 years ago
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    think of a house

  73. jim_thompson5910
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    how many walls does it have?

  74. hali12
    • 2 years ago
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    its the sides u can see right?

  75. jim_thompson5910
    • 2 years ago
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    and the sides that are hidden (because they are in the back)

  76. jim_thompson5910
    • 2 years ago
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    think of it rotating

  77. hali12
    • 2 years ago
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    4

  78. jim_thompson5910
    • 2 years ago
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    4 walls, good

  79. jim_thompson5910
    • 2 years ago
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    how many parts to the roof?

  80. jim_thompson5910
    • 2 years ago
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    flat parts

  81. hali12
    • 2 years ago
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    6

  82. jim_thompson5910
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    6 flat parts to the roof? or 6 total so far?

  83. hali12
    • 2 years ago
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    total

  84. jim_thompson5910
    • 2 years ago
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    ok, then count in the floor

  85. hali12
    • 2 years ago
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    7

  86. hali12
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    7

  87. jim_thompson5910
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    yes

  88. jim_thompson5910
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    there are 7 faces total

  89. jim_thompson5910
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    so there are 7 planes

  90. hali12
    • 2 years ago
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    oh ok

  91. jim_thompson5910
    • 2 years ago
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    with any geometric solid, a "face" is also a plane

  92. hali12
    • 2 years ago
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    I

  93. jim_thompson5910
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    ?

  94. hali12
    • 2 years ago
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    number 15 is i ?

  95. jim_thompson5910
    • 2 years ago
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    points D, J and A all lie on the left wall (that's behind the front and right walls...so it's hidden from view)

  96. hali12
    • 2 years ago
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    f?

  97. jim_thompson5910
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    what also lies on that left wall?

  98. hali12
    • 2 years ago
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    a,d,g,j,f,i

  99. jim_thompson5910
    • 2 years ago
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    i and f don't because they lie on the left rooftop

  100. hali12
    • 2 years ago
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    g

  101. jim_thompson5910
    • 2 years ago
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    yes, the answer to #15 is g

  102. hali12
    • 2 years ago
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    now for number 16 im confused

  103. jim_thompson5910
    • 2 years ago
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    draw a line from D to J

  104. jim_thompson5910
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    which face does this line lie in?

  105. hali12
    • 2 years ago
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    jadg

  106. jim_thompson5910
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    good

  107. jim_thompson5910
    • 2 years ago
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    another way to name JADG is JAD since 3 points are enough to make a plane

  108. hali12
    • 2 years ago
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    is 17 plane JIG?

  109. hali12
    • 2 years ago
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    i mean JGF

  110. jim_thompson5910
    • 2 years ago
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    yes, JIG is the same plane as JGF and they both work

  111. jim_thompson5910
    • 2 years ago
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    but JGF is the only listed answer, so it's JGF

  112. hali12
    • 2 years ago
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    number 18 "No answer is correct."?

  113. jim_thompson5910
    • 2 years ago
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    very good

  114. jim_thompson5910
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    there is no face that has the line

  115. hali12
    • 2 years ago
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    sweet!

  116. hali12
    • 2 years ago
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    1 Attachment
  117. hali12
    • 2 years ago
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    non-coplanar ( number 19)

  118. jim_thompson5910
    • 2 years ago
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    are you sure? look again (very closely)

  119. hali12
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    collinear

  120. jim_thompson5910
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    do they all lie on the same line?

  121. hali12
    • 2 years ago
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    no non-collinear

  122. jim_thompson5910
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    good, so #19 is non-collinear

  123. hali12
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    #20 non-coplanar

  124. jim_thompson5910
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    yes, very good

  125. jim_thompson5910
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    not all of those 3 points lie in the same plane/face

  126. hali12
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    21 - non-coplanar?

  127. jim_thompson5910
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    good, from 20, A, B and G are noncoplanar, so throwing in another point (whatever that new point may be) will not change this

  128. hali12
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    22 - They don’t intersect.

  129. jim_thompson5910
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    good

  130. hali12
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    23 - collinear

  131. jim_thompson5910
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    do they all lie on the same line?

  132. hali12
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    no non-coplanar

  133. jim_thompson5910
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    so they do NOT lie in the same plane?

  134. hali12
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    no

  135. jim_thompson5910
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    are you sure?

  136. hali12
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    yes

  137. jim_thompson5910
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    look again

  138. hali12
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    yes they do, coplanar

  139. jim_thompson5910
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    yes you are correct

  140. hali12
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    24- collinear

  141. jim_thompson5910
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    they all lie on the same line?

  142. hali12
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    yes

  143. jim_thompson5910
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    look again

  144. hali12
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    no

  145. jim_thompson5910
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    so not colllinear

  146. jim_thompson5910
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    collinear*

  147. hali12
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    non-collinear

  148. jim_thompson5910
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    good

  149. hali12
    • 2 years ago
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    last one

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  150. hali12
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    non-coplanar

  151. jim_thompson5910
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    correct

  152. hali12
    • 2 years ago
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    AWESOME , THANK YOU SO MUCH FOR TAKING TIME TO HELP ME OUT

  153. jim_thompson5910
    • 2 years ago
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    you're very welcome

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