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irishchelsc

  • 3 years ago

The figure below shows CB = 8, BE = 12, AB = 3x – 1, and DB = 4x + 2. Triangle ABC is a right triangle with measure of angle ACB equal to 90 degrees. The measure of side CB is 8 and AB is 3 multiplied by x minus 1. D is a point on the left of C on BC extended. A point E is labeled on AB such that DE is perpendicular to AB. Measure of EB is 12 and DB is 4 multiplied by x plus 2 If △ABC ~ △DBE, the value of x is _________

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  1. irishchelsc
    • 3 years ago
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  2. irishchelsc
    • 3 years ago
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    @timo86m

  3. timo86m
    • 3 years ago
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    set up a ratio :)

  4. irishchelsc
    • 3 years ago
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    i tried that! but I'm not sure if I'm on the right path :/

  5. irishchelsc
    • 3 years ago
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    i did 12/3x-1= 8/4x+2

  6. timo86m
    • 3 years ago
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    and ;)there is another

  7. timo86m
    • 3 years ago
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    8/12

  8. irishchelsc
    • 3 years ago
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    alright. I'm lost :(

  9. timo86m
    • 3 years ago
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    8/12=(3x-1)/(4x+2)

  10. timo86m
    • 3 years ago
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    small side / large size= hypotonuse of small side/ hypotonuse of large size

  11. irishchelsc
    • 3 years ago
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    Oh! so just switch it around then solve..?

  12. timo86m
    • 3 years ago
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    cross multiply :)

  13. irishchelsc
    • 3 years ago
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    i got 2.67...?

  14. timo86m
    • 3 years ago
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    lol try again :)

  15. irishchelsc
    • 3 years ago
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    okay. so. 8x 4x+2 which is 3x+16

  16. irishchelsc
    • 3 years ago
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    12 x 3x-1 which is 36-12

  17. irishchelsc
    • 3 years ago
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    3x + 16 = 24

  18. irishchelsc
    • 3 years ago
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    minus 16 on both sides

  19. irishchelsc
    • 3 years ago
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    3x = 8

  20. irishchelsc
    • 3 years ago
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    then the 2.67 :(

  21. timo86m
    • 3 years ago
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    8/12 is 2/3 2/3 = (3*x-1)/(4*x+2) With me so far?

  22. irishchelsc
    • 3 years ago
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    okay. so simplify the ratio

  23. timo86m
    • 3 years ago
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    Yup :) 8/12=(3x-1)/(4x+2) 2/3 = (3*x-1)/(4*x+2) cuzz 8/12 is 2/3 2=3*(3x-1)/(4x+2) multiply both sides by 3 to have 2 by itself on the lhs(left hand side) with me stil :)

  24. irishchelsc
    • 3 years ago
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    i got 7..?

  25. timo86m
    • 3 years ago
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    Yes it was 7 LOL :)

  26. irishchelsc
    • 3 years ago
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    WWWAAAHHHOOOOOO!

  27. irishchelsc
    • 3 years ago
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    YYYAAAY! thank youu soo much :DD

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