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LilVeroDez13

  • 3 years ago

Suppose B is the midpoint of AC. AB = 5x and BC = 3x + 4. Find AB. (Hint: Make a sketch and write an equation to solve.)

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  1. jim_thompson5910
    • 3 years ago
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    B is the midpoint, so AB and BC are equal pieces that make up AC

  2. jim_thompson5910
    • 3 years ago
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    this means AB = BC 5x = 3x+4

  3. LilVeroDez13
    • 3 years ago
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    So then i would solve for x?

  4. jim_thompson5910
    • 3 years ago
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    yes you would

  5. jim_thompson5910
    • 3 years ago
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    tell me what you get

  6. LilVeroDez13
    • 3 years ago
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    I get .5.. but i know thats wrong.. so, 5x = 3x + 4.. u combine like terms.. right?

  7. jim_thompson5910
    • 3 years ago
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    subtract 3x from both sides

  8. jim_thompson5910
    • 3 years ago
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    5x = 3x + 4 5x-3x = 3x + 4-3x 2x = 4

  9. jim_thompson5910
    • 3 years ago
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    whats next?

  10. LilVeroDez13
    • 3 years ago
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    divide 2 do both sides.. x = 2

  11. jim_thompson5910
    • 3 years ago
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    exactly, now use this to find AB

  12. LilVeroDez13
    • 3 years ago
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    5(2) = 10 :)

  13. jim_thompson5910
    • 3 years ago
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    you nailed it

  14. LilVeroDez13
    • 3 years ago
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    Thanks!! :) Can u help me with another question

  15. jim_thompson5910
    • 3 years ago
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    sure

  16. LilVeroDez13
    • 3 years ago
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    Thanks!! :)) Four points A, B, C, and D are coplanar, but only two at a time are collinear. Suppose a line is drawn through each pair of points. How many lines can you draw?

  17. jim_thompson5910
    • 3 years ago
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    Four points A, B, C, and D are coplanar means that all four points lie in the same plane

  18. jim_thompson5910
    • 3 years ago
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    but only two at a time are collinear means that all 4 points do NOT form a straight line also, it means that there are no 3 points that form a straight line

  19. jim_thompson5910
    • 3 years ago
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    so we might have something like this |dw:1348964739339:dw|

  20. jim_thompson5910
    • 3 years ago
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    Here are two pairs of lines |dw:1348964798916:dw|

  21. jim_thompson5910
    • 3 years ago
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    oops just meant to say "here are a pair of lines"

  22. jim_thompson5910
    • 3 years ago
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    Here's another pair |dw:1348964855161:dw|

  23. jim_thompson5910
    • 3 years ago
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    and another pair |dw:1348964897439:dw|

  24. jim_thompson5910
    • 3 years ago
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    and that's all we can draw because there are no other possible pairs of lines to draw

  25. LilVeroDez13
    • 3 years ago
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    :) So, there are 4 possible ways?

  26. jim_thompson5910
    • 3 years ago
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    double that to get 8

  27. jim_thompson5910
    • 3 years ago
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    4 pairs of lines = 8 lines

  28. LilVeroDez13
    • 3 years ago
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    Ahh.. i see now. Thanks so much!! ur really smart :) geometry kicks my butt. You make it easy to understand :)

  29. jim_thompson5910
    • 3 years ago
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    oh wait, i'm counting 3 pairs (not sure where I got 4 pairs) so 3 pairs = 6 lines

  30. jim_thompson5910
    • 3 years ago
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    I'm glad I do

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