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nath

  • 2 years ago

Find the measure of angle phi in degrees and the length of segment x in centimeters.

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  1. Directrix
    • 2 years ago
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    Diagram?

  2. nath
    • 2 years ago
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    SRRY I HAV AM DRAWING IT

  3. nath
    • 2 years ago
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    |dw:1327994270675:dw|

  4. Directrix
    • 2 years ago
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    If the dashed segment is an altitude or an angle bisector of the equilateral triangle, the "mystery" angle has measure 30.

  5. nath
    • 2 years ago
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    |dw:1327994428232:dw| HERES A BETTER PICTURE

  6. atjari
    • 2 years ago
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    theta is 30 degrees and x=7cm

  7. nath
    • 2 years ago
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    CAN YOU PLEASE EXPLAIN HOW YOU CAME UP WITH THESE VALUES

  8. Directrix
    • 2 years ago
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    What are you given about the dashed segment? Then, I can tell you.

  9. nath
    • 2 years ago
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    Dividing an equilateral triangle in half leads to the next special triangle that we will look at. Consider the figure showing an equilateral triangle with a line dividing it down the middle. This line divides both the angle at the top of the triangle and the base of the triangle into two equal parts.

  10. Directrix
    • 2 years ago
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    @ nath, how do you know that the equilateral triangle has been "halved?"

  11. nath
    • 2 years ago
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    it was given with the question

  12. Directrix
    • 2 years ago
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    @Cyno How do you know "since that angle is cut directly in half to ..?" Where is it given?

  13. atjari
    • 2 years ago
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    cos60=x/14 1/2=x/14 x=7 90+60+theta=180 theta=30

  14. nath
    • 2 years ago
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    thank you

  15. Directrix
    • 2 years ago
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    |dw:1327994931350:dw|

  16. atjari
    • 2 years ago
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    yw

  17. Directrix
    • 2 years ago
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    Trig is not required. Use the 30-60-90 Theorem. b = 7 times square root 3.

  18. nath
    • 2 years ago
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    for some reason that isnt the answer

  19. Directrix
    • 2 years ago
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    @ Nath 7 times square root 3

  20. nath
    • 2 years ago
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    x =7

  21. Directrix
    • 2 years ago
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    7 times square root(3) = 12.1243557

  22. nath
    • 2 years ago
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    i got that but the answer for x is x=7

  23. Directrix
    • 2 years ago
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    x=7. 7times square root 3 is the length of the altitude (dashed segment on drawing which everyone but me knows intersects at a right angle :))

  24. nath
    • 2 years ago
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    i still do not understand how x=7 still . after we found that the value is about 12 how do we go from 12 to 7

  25. atjari
    • 2 years ago
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    c=14 so c^2=14^2

  26. nath
    • 2 years ago
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    so is this what you all mean b^2+ (7)^2=(14)^2

  27. nath
    • 2 years ago
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    right but atjari said c=14 thats why im confused.. you said c^2=14

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