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



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Ammarah
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dw:1361850022162:dw

jim_thompson5910
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so you are saying EF = 15 units and HG = 15 units ?

Ammarah
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yes

jim_thompson5910
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these two triangles are congruent by the HL property
dw:1361850491541:dw

jim_thompson5910
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so AQ = QB by CPCTC
so
4x  1 = x+8

Ammarah
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ohhh i was doing it equal to 15!!

jim_thompson5910
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no, those 15s really play no part in finding x, just in showing that the two triangles are congruent

Ammarah
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ohhlk so the answer is 7

jim_thompson5910
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x is not 7

Ammarah
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then wat?

jim_thompson5910
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4x  1 = x+8
4x  x = 8 + 1
3x = 9
x = ?

Ammarah
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x=3

Ammarah
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the answer in my book says 7/3

Mertsj
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Congruent chords are equidistant from the center of a circle.

jim_thompson5910
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must be a typo since it's just x = 3

Ammarah
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ok....i guess ur right

Ammarah
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i need more help

Mertsj
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Are you sure it is not 4x+1 in your picture?

Ammarah
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YEAH ITS 4x +1

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

jim_thompson5910
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oh that makes more sense now