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coolaidd

  • 2 years ago

AB and BC are tangent to circle D. Find x if AB=3x+2 and BC=x+12. Find x.

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  1. coolaidd
    • 2 years ago
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  2. j814wong
    • 2 years ago
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    From any point outside a circle, only two, equally long tangent lines can be drawn to a circle.

  3. j814wong
    • 2 years ago
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    So set the two lengths as equal and solve for x from there

  4. coolaidd
    • 2 years ago
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    3x+2=x+12 ?

  5. j814wong
    • 2 years ago
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    Yep

  6. coolaidd
    • 2 years ago
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    ok..

  7. coolaidd
    • 2 years ago
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    add 3x?

  8. j814wong
    • 2 years ago
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    You can't add 3x. Your goal to solve for x is to isolate it. To do so, move the term with a variable to one side and the constant to the other. To do so, subtract both sides by x then subtract both sides by 2 and simplify from there to get x completely on it's own.

  9. j814wong
    • 2 years ago
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    3x+2=x+12 3x-x+2-2=x-x+12-2 2x=10 x=__

  10. j814wong
    • 2 years ago
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    What you do on one side of an equation, you must do on teh other side to keep the equation the as having teh same value. By doing so, you alter the form of teh equation while keeping teh meaning.

  11. coolaidd
    • 2 years ago
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    5?

  12. j814wong
    • 2 years ago
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    Yeah

  13. coolaidd
    • 2 years ago
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    thank you!! :)

  14. j814wong
    • 2 years ago
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    Your welcome

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