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anonymous

  • one year ago

What is the length of Line Segment AC? Show your work.

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    The triangles are similar, so corresponding sides are proportional. \[\frac{ 3 }{ 51 }=\frac{ x }{ 144-x }\] cross multiply

  3. anonymous
    • one year ago
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    oh okay so it would be 3*144-x = 51*x Right?

  4. anonymous
    • one year ago
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    You're going to have to distribute the 3 so use parentheses 3(144-x) = 51*x

  5. anonymous
    • one year ago
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    witch is?

  6. anonymous
    • one year ago
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    I don't know what you mean

  7. anonymous
    • one year ago
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    how do you Distribute?

  8. anonymous
    • one year ago
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    multiply the 3 by both of the terms in the parentheses. For example|dw:1433956499272:dw|

  9. anonymous
    • one year ago
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    |dw:1433956599192:dw|

  10. anonymous
    • one year ago
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    Right, so now the equation is \[432-3x=51x\] Now add 3x to both sides

  11. anonymous
    • one year ago
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    do you minus 51?

  12. anonymous
    • one year ago
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    no

  13. anonymous
    • one year ago
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    If you add 3x all the x's will be on the right side

  14. anonymous
    • one year ago
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    Yeah how do you get rid of 51

  15. anonymous
    • one year ago
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    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.

  16. anonymous
    • one year ago
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    |dw:1433957044865:dw|

  17. anonymous
    • one year ago
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    and that's my answer?

  18. anonymous
    • one year ago
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    you have to solve the equation for x, then plug in what you get to find AC

  19. anonymous
    • one year ago
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    So AC=136?

  20. anonymous
    • one year ago
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    yes

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