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sloppycanada

  • one year ago

Triangle ABC is congruent to triangle XYZ. Angel A measures 50 degrees. Angle B measures (2x+40) and angle Y (4x+8). Find the value of x. How do I set this up proportionally?

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  1. anonymous
    • one year ago
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    |dw:1435807242985:dw| The vertices correspond. a-x b-y c-z

  2. anonymous
    • one year ago
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    then you can set angle b = y and solve for x

  3. sloppycanada
    • one year ago
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    x = 8? I can't believe I did not see that. It looks so simple now that you've written it...

  4. anonymous
    • one year ago
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    I've been there many a-time :p

  5. sloppycanada
    • one year ago
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    Sorry x =16.

  6. anonymous
    • one year ago
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    2x=32 x=16 yeah

  7. sloppycanada
    • one year ago
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    ABC is congruent to XYZ. A = 50 B = 2x+40, Z = 4x + 8

  8. anonymous
    • one year ago
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    you can make C = z then you know that all interior angle triangle angles add up to 180

  9. sloppycanada
    • one year ago
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    |dw:1435807481419:dw| Like this?

  10. sloppycanada
    • one year ago
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    But I don't have the value of "C"

  11. anonymous
    • one year ago
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    c is z remember the congruence statement abc=xyz a=x b=y c=z

  12. anonymous
    • one year ago
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    |dw:1435807584943:dw|

  13. anonymous
    • one year ago
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    |dw:1435807613008:dw| 50+2x+40+4x+8=180

  14. anonymous
    • one year ago
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    that doesn't seem right though

  15. anonymous
    • one year ago
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    because I don't get an exact number for x

  16. sloppycanada
    • one year ago
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    x = 12?

  17. anonymous
    • one year ago
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    \(6x=82\\x=\dfrac{82}{6}=\dfrac{41}{3}\)

  18. sloppycanada
    • one year ago
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    |dw:1435807822974:dw|

  19. anonymous
    • one year ago
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    6*12 = 72 which leaves 10 remainder

  20. anonymous
    • one year ago
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    check the angles to make sure they're right

  21. sloppycanada
    • one year ago
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    Oh yeah....

  22. anonymous
    • one year ago
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    or if you can give a fraction as an answer 41/3 is fine

  23. sloppycanada
    • one year ago
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    Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x. I'll give with it simplified and the fraction, that way I can't be wrong.

  24. sloppycanada
    • one year ago
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    |dw:1435808017048:dw|

  25. anonymous
    • one year ago
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    this is different. they're similar not congfruent

  26. sloppycanada
    • one year ago
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    Is it a ratio thing?

  27. anonymous
    • one year ago
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    yeah

  28. sloppycanada
    • one year ago
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    |dw:1435808243519:dw|

  29. anonymous
    • one year ago
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    looks good to me.simplify the leftside and then multiply both sides by x+5 to get rid of the deonominator on the right

  30. anonymous
    • one year ago
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    or you could just "cross multiply" but that's unnecessary and not actually a technique technically

  31. sloppycanada
    • one year ago
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    x = 5.5?

  32. anonymous
    • one year ago
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    \(2(x+5)=4x-1\\2x+10=4x-1 \\11=2x\\x=5.5\) looks right

  33. sloppycanada
    • one year ago
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    That doesn't work under my answers though, should be 6.33 7.2 5 8

  34. anonymous
    • one year ago
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    Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x. |dw:1435808585813:dw|

  35. anonymous
    • one year ago
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    looks like another careless mistake

  36. anonymous
    • one year ago
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    :D

  37. sloppycanada
    • one year ago
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    Life hates me. x= 8

  38. anonymous
    • one year ago
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    looks right

  39. sloppycanada
    • one year ago
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    Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle G measures 49 degrees. Find the measure of angle H.

  40. anonymous
    • one year ago
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    similar polygons have equal angles

  41. anonymous
    • one year ago
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    so <A = <F <B=<G <C=H

  42. sloppycanada
    • one year ago
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    Ohhh okay. So Angle H is 89?

  43. anonymous
    • one year ago
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    looks right

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