anonymous
  • anonymous
What is the length of Line Segment AC? Show your work.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
The triangles are similar, so corresponding sides are proportional. \[\frac{ 3 }{ 51 }=\frac{ x }{ 144-x }\] cross multiply
anonymous
  • anonymous
oh okay so it would be 3*144-x = 51*x Right?

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anonymous
  • anonymous
You're going to have to distribute the 3 so use parentheses 3(144-x) = 51*x
anonymous
  • anonymous
witch is?
anonymous
  • anonymous
I don't know what you mean
anonymous
  • anonymous
how do you Distribute?
anonymous
  • anonymous
multiply the 3 by both of the terms in the parentheses. For example|dw:1433956499272:dw|
anonymous
  • anonymous
|dw:1433956599192:dw|
anonymous
  • anonymous
Right, so now the equation is \[432-3x=51x\] Now add 3x to both sides
anonymous
  • anonymous
do you minus 51?
anonymous
  • anonymous
no
anonymous
  • anonymous
If you add 3x all the x's will be on the right side
anonymous
  • anonymous
Yeah how do you get rid of 51
anonymous
  • anonymous
you don't have to do anything to 51x. Add 3x to both side so the equation to get rid of -3x on the left.
anonymous
  • anonymous
|dw:1433957044865:dw|
anonymous
  • anonymous
and that's my answer?
anonymous
  • anonymous
you have to solve the equation for x, then plug in what you get to find AC
anonymous
  • anonymous
So AC=136?
anonymous
  • anonymous
yes

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