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Secant DB intersects secant DZ at point D. Find the length of DY

Secant DB intersects secant DZ at point D. Find the length of DY-example-1

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By the Intersecting Secants Theorem we have
2x(2x+7)=x(x+23)
4x^2+14x=x^2+23x
3x^2=9x
3x=9
x=3
Since DY is length 2x,
the length of DY is 6.
User Marc Esher
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