asked 219k views
4 votes
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

1 Answer

2 votes
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.
answered
User Marc Esher
by
8.6k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.