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elizabethann509

How do I solve this for x? BD = 4x + 5 and BF = 9x

  • one year ago
  • one year ago

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  1. elizabethann509
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    |dw:1358121510552:dw| Not perfect but this is the drawing that goes with it

    • one year ago
  2. jim_thompson5910
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    are points G, E and F midpoints of the segments AB, BC and AC ?

    • one year ago
  3. elizabethann509
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    I think so? Something about a centroid? This is a question that I posted for my brother because he doesn't know how to do this. Everything should be even in the drawing but i'm not an expert artist or anything lol.

    • one year ago
  4. jim_thompson5910
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    if that's the case, then AE, GC, and BF are medians they all intersect at the centroid The distance from any vertex to the centroid is always twice as large as the distance from the centroid to the midpoint on the opposite segment (along the same median)

    • one year ago
  5. jim_thompson5910
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    what does this mean? it means that we can say BD = 2k DF = k for some number k |dw:1358122081547:dw|

    • one year ago
  6. jim_thompson5910
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    So BD = 2*DF 4x+5 = 2*9x solve for x, then use this to find BD and DF Your last step is to use them to find BF = BD + DF

    • one year ago
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