+0  
 
+1
1401
1
avatar

What is the length of line YX? Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth. https://static.k12.com/nextgen_media/assets/8107298-NG_GMT_SemB_10_UT_06.png

Guest Mar 20, 2017
 #1
avatar+86919 
+2

Assuming YX is tangent to the circle, we can solve this using the secant-tangent theorem which says that  the product of the secant length and its external segment = to the square of the length of the tangent segment.....so

 

ZY * VY   =   (XY)^2   ......so.....

 

(19 + 9) * 9   = (XY)^2

 

28 * 9   = (XY)^2

 

252  = (XY)^2

 

sqrt(252)  = XY

 

sqrt (36 * 7)  = XY

 

6sqrt(7)   = XY  ≈ 15.87

 

 

cool cool cool

CPhill  Mar 20, 2017

6 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.