Question 11
In the diagram below, the points $A,B,C$ and $D$ lie on a circle. The lines $AC$ and $BD$ intersect at the point $E$ and $AB$ is the diameter of a circle that passes through the points $A,B$ and $E$. Let $M$ be the midpoint of $BC$ and $N$ be the point of intersection between the line passing through the points $M$ and $E$ and the line passing through the points $A$ and $D$. Given that $BC=28$, $AN=27$, $DN=3$, $MN=x$, find the value of $x$.
