Answer:
19
Step-by-step explanation:
In the circle with center M, BD is tangent and BA is secant, which are intersecting each other outside of the circle at point B.
BA = BE + EA = 4 + x - 7 = x - 3
Now, by the property of intersecting tangent and secants outside of the circle.
[tex] BD^2 = BE \times BA\\
\therefore 8^2 = 4\times (x - 3)\\
\therefore 64 = 4x - 12
\therefore 64+12 = 4x\\
\therefore 76 = 4x\\\\
\therefore x = \frac{76}{4}\\\\
\huge \orange {\boxed {\therefore x = 19}} \\[/tex]
