Question 1179929
.


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

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Circles/The-parts-of-chords-intersecting-inside-a-circle.lesson>The parts of chords that intersect inside a circle</A>

in this site.



<pre>
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.
</pre>


That's all.