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Ammarah

  • 3 years ago

Find the value of x in the circle. Explain your reasoning.

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  1. Ammarah
    • 3 years ago
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    |dw:1361850022162:dw|

  2. jim_thompson5910
    • 3 years ago
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    so you are saying EF = 15 units and HG = 15 units ?

  3. Ammarah
    • 3 years ago
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    yes

  4. jim_thompson5910
    • 3 years ago
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    these two triangles are congruent by the HL property |dw:1361850491541:dw|

  5. jim_thompson5910
    • 3 years ago
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    so AQ = QB by CPCTC so 4x - 1 = x+8

  6. Ammarah
    • 3 years ago
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    ohhh i was doing it equal to 15!!

  7. jim_thompson5910
    • 3 years ago
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    no, those 15s really play no part in finding x, just in showing that the two triangles are congruent

  8. Ammarah
    • 3 years ago
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    ohhlk so the answer is 7

  9. jim_thompson5910
    • 3 years ago
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    x is not 7

  10. Ammarah
    • 3 years ago
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    then wat?

  11. jim_thompson5910
    • 3 years ago
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    4x - 1 = x+8 4x - x = 8 + 1 3x = 9 x = ?

  12. Ammarah
    • 3 years ago
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    x=3

  13. Ammarah
    • 3 years ago
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    the answer in my book says 7/3

  14. Mertsj
    • 3 years ago
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    Congruent chords are equidistant from the center of a circle.

  15. jim_thompson5910
    • 3 years ago
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    must be a typo since it's just x = 3

  16. Ammarah
    • 3 years ago
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    ok....i guess ur right

  17. Ammarah
    • 3 years ago
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    i need more help

  18. Mertsj
    • 3 years ago
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    Are you sure it is not 4x+1 in your picture?

  19. Ammarah
    • 3 years ago
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    YEAH ITS 4x +1

  20. Mertsj
    • 3 years ago
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    So now, when you equate the distances from the center, you will get 7/3 for x.

  21. jim_thompson5910
    • 3 years ago
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    oh that makes more sense now

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