Find the value of x. Assume that all segments that appear to be tangent.5.68.4

Answer:
11.2
Explanation:
We can use the Pythagorean theorem to solve for x as shown below;
[tex](5.6+8.4)^2=x^2+8.4^2[/tex][tex]\begin{gathered} 14^2=x^2+70.56 \\ x^2=196-70.56 \\ x^2=125.44 \end{gathered}[/tex]We can now take the square root of both sides of the equation;;
[tex]\begin{gathered} x=\sqrt[]{125.44} \\ x=11.2 \end{gathered}[/tex]