(G.11b, 1 point) Two chords intersect with the measures shown in the drawing. What is the value of x? 5 6.5 8 O A. 2.2 O B. 6.2 0 C. 8.0 OD. 13.5

The value of x is 6.2
Here, we want to find the value of x
To do this, we use the theorem of intersecting chords
By this theorem, the products of the two sides of two chords which intersects are the same
Mathematically, we have this as follows;
[tex]\begin{gathered} 5\text{ }\times\text{ 8 = 6.5 }\times\text{ x} \\ \\ 40\text{ = 6.5x} \\ \\ x\text{ = }\frac{40}{6.5} \\ \\ x\text{ = 6.15 which is approx. 6.2} \end{gathered}[/tex]