anonymous
  • anonymous
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.)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
B is the midpoint, so AB and BC are equal pieces that make up AC
jim_thompson5910
  • jim_thompson5910
this means AB = BC 5x = 3x+4
anonymous
  • anonymous
So then i would solve for x?

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jim_thompson5910
  • jim_thompson5910
yes you would
jim_thompson5910
  • jim_thompson5910
tell me what you get
anonymous
  • anonymous
I get .5.. but i know thats wrong.. so, 5x = 3x + 4.. u combine like terms.. right?
jim_thompson5910
  • jim_thompson5910
subtract 3x from both sides
jim_thompson5910
  • jim_thompson5910
5x = 3x + 4 5x-3x = 3x + 4-3x 2x = 4
jim_thompson5910
  • jim_thompson5910
whats next?
anonymous
  • anonymous
divide 2 do both sides.. x = 2
jim_thompson5910
  • jim_thompson5910
exactly, now use this to find AB
anonymous
  • anonymous
5(2) = 10 :)
jim_thompson5910
  • jim_thompson5910
you nailed it
anonymous
  • anonymous
Thanks!! :) Can u help me with another question
jim_thompson5910
  • jim_thompson5910
sure
anonymous
  • anonymous
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?
jim_thompson5910
  • jim_thompson5910
Four points A, B, C, and D are coplanar means that all four points lie in the same plane
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
so we might have something like this |dw:1348964739339:dw|
jim_thompson5910
  • jim_thompson5910
Here are two pairs of lines |dw:1348964798916:dw|
jim_thompson5910
  • jim_thompson5910
oops just meant to say "here are a pair of lines"
jim_thompson5910
  • jim_thompson5910
Here's another pair |dw:1348964855161:dw|
jim_thompson5910
  • jim_thompson5910
and another pair |dw:1348964897439:dw|
jim_thompson5910
  • jim_thompson5910
and that's all we can draw because there are no other possible pairs of lines to draw
anonymous
  • anonymous
:) So, there are 4 possible ways?
jim_thompson5910
  • jim_thompson5910
double that to get 8
jim_thompson5910
  • jim_thompson5910
4 pairs of lines = 8 lines
anonymous
  • anonymous
Ahh.. i see now. Thanks so much!! ur really smart :) geometry kicks my butt. You make it easy to understand :)
jim_thompson5910
  • jim_thompson5910
oh wait, i'm counting 3 pairs (not sure where I got 4 pairs) so 3 pairs = 6 lines
jim_thompson5910
  • jim_thompson5910
I'm glad I do

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