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nanaheads

  • 2 years ago

In the figure, ΔABC ~ ΔDEF. Solve for x.

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  1. nanaheads
    • 2 years ago
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  2. Grazes
    • 2 years ago
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    Make a proportion based on the fact that they are similar. Turn the bottom triangle until the triangles match and compare the sides. The proportion should be 16/8=x/3

  3. huneya
    • 2 years ago
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    do cross multiplication

  4. nanaheads
    • 2 years ago
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    So the answer should be b=4?

  5. Grazes
    • 2 years ago
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    |dw:1343161960665:dw| Try again.

  6. huneya
    • 2 years ago
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    16x 3 /8

  7. Grazes
    • 2 years ago
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    Nana. Did you check your work?

  8. nanaheads
    • 2 years ago
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    So it's 6?

  9. huneya
    • 2 years ago
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    yes

  10. nanaheads
    • 2 years ago
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    Thank you so much! Can you help me with another one?

  11. Grazes
    • 2 years ago
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    Good job. Give yourself a pat. Do you understand how I made the proportion, though?

  12. nanaheads
    • 2 years ago
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    Yes I did!

  13. nanaheads
    • 2 years ago
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  14. Grazes
    • 2 years ago
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    Try to make a proportion yourself after matching up the triangles. I'll tell you whether you got it right or not ;)

  15. huneya
    • 2 years ago
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    x-3/4 = 12/3

  16. Grazes
    • 2 years ago
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    Huneya. Please try to help her without guessing for her :/ At any rate, huneya's attempt was wrong.

  17. huneya
    • 2 years ago
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    no its not @Grazes

  18. nanaheads
    • 2 years ago
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    I got 16... I think that's wrong.

  19. nanaheads
    • 2 years ago
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    so it's 19? I was close.

  20. Grazes
    • 2 years ago
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    Huneya's proportion was correct.. to a degree. It was only right because they were special similar triangles

  21. Grazes
    • 2 years ago
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    |dw:1343162820034:dw| That'd be the correct proportion if you needed to show your work on a test.

  22. nanaheads
    • 2 years ago
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    So it's 19?

  23. Grazes
    • 2 years ago
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    Yep.

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