Ammarah
  • Ammarah
Find the value of x in the circle. Explain your reasoning.
Mathematics
jamiebookeater
  • jamiebookeater
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Ammarah
  • Ammarah
|dw:1361850022162:dw|
jim_thompson5910
  • jim_thompson5910
so you are saying EF = 15 units and HG = 15 units ?
Ammarah
  • Ammarah
yes

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jim_thompson5910
  • jim_thompson5910
these two triangles are congruent by the HL property |dw:1361850491541:dw|
jim_thompson5910
  • jim_thompson5910
so AQ = QB by CPCTC so 4x - 1 = x+8
Ammarah
  • Ammarah
ohhh i was doing it equal to 15!!
jim_thompson5910
  • jim_thompson5910
no, those 15s really play no part in finding x, just in showing that the two triangles are congruent
Ammarah
  • Ammarah
ohhlk so the answer is 7
jim_thompson5910
  • jim_thompson5910
x is not 7
Ammarah
  • Ammarah
then wat?
jim_thompson5910
  • jim_thompson5910
4x - 1 = x+8 4x - x = 8 + 1 3x = 9 x = ?
Ammarah
  • Ammarah
x=3
Ammarah
  • Ammarah
the answer in my book says 7/3
Mertsj
  • Mertsj
Congruent chords are equidistant from the center of a circle.
jim_thompson5910
  • jim_thompson5910
must be a typo since it's just x = 3
Ammarah
  • Ammarah
ok....i guess ur right
Ammarah
  • Ammarah
i need more help
Mertsj
  • Mertsj
Are you sure it is not 4x+1 in your picture?
Ammarah
  • Ammarah
YEAH ITS 4x +1
Mertsj
  • Mertsj
So now, when you equate the distances from the center, you will get 7/3 for x.
jim_thompson5910
  • jim_thompson5910
oh that makes more sense now

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