SOLUTION: https://assets.learnosity.com/organisations/154/d71c7d89-9f24-462c-aec2-9bd81b6ec55b.PNG x=?

Algebra ->  Circles -> SOLUTION: https://assets.learnosity.com/organisations/154/d71c7d89-9f24-462c-aec2-9bd81b6ec55b.PNG x=?      Log On


   

Question 1179929: https://assets.learnosity.com/organisations/154/d71c7d89-9f24-462c-aec2-9bd81b6ec55b.PNG
x=?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

Theorem.

            If two chords intersect in the interior of a circle,  then the product the measures of the segments
            the intersection point divides each chord is the same.


See the lesson
    - The parts of chords that intersect inside a circle
in this site. 


Based on this Theorem, you have this equation


    16*(3x+6) = 14*(7x-11).


You should solve it and find x.


After that, you should compute the lengths of the segments  3x+6  and  7x-11.


That's all.