Q:

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

Accepted Solution

A:
1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:
 
 YX²=(YZ)(YV)
 YX=√(YZ)(YV)
 
 YZ=9+19
 YV=9
 
 2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:
 
 YX=√(YZ)(YV)
 YX=√(9+19)(9)
 YX=√(28)(9)
 YX=√252
 YX=15.87
 
 What is the length of YX?
 
 The answer is: The lenght of YX is 15.87