27-12-2016
Mathematics

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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 class=

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djsdoodle djsdoodle

27-12-2016

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.

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