- 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.)

- schrodinger

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- jim_thompson5910

B is the midpoint, so AB and BC are equal pieces that make up AC

- jim_thompson5910

this means
AB = BC
5x = 3x+4

- anonymous

So then i would solve for x?

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## More answers

- jim_thompson5910

yes you would

- jim_thompson5910

tell me what you get

- anonymous

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

- jim_thompson5910

subtract 3x from both sides

- jim_thompson5910

5x = 3x + 4
5x-3x = 3x + 4-3x
2x = 4

- jim_thompson5910

whats next?

- anonymous

divide 2 do both sides.. x = 2

- jim_thompson5910

exactly, now use this to find AB

- anonymous

5(2) = 10 :)

- jim_thompson5910

you nailed it

- anonymous

Thanks!! :) Can u help me with another question

- jim_thompson5910

sure

- 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

Four points A, B, C, and D are coplanar means that all four points lie in the same plane

- 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

so we might have something like this
|dw:1348964739339:dw|

- jim_thompson5910

Here are two pairs of lines
|dw:1348964798916:dw|

- jim_thompson5910

oops just meant to say "here are a pair of lines"

- jim_thompson5910

Here's another pair
|dw:1348964855161:dw|

- jim_thompson5910

and another pair
|dw:1348964897439:dw|

- jim_thompson5910

and that's all we can draw because there are no other possible pairs of lines to draw

- anonymous

:) So, there are 4 possible ways?

- jim_thompson5910

double that to get 8

- jim_thompson5910

4 pairs of lines = 8 lines

- anonymous

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

- jim_thompson5910

oh wait, i'm counting 3 pairs (not sure where I got 4 pairs)
so 3 pairs = 6 lines

- jim_thompson5910

I'm glad I do

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