In the diagram below, [math]\overleftrightarrow{DB}[/math] is the perpendicular bisector of [math]\overline{AC}[/math]. If [math]AD = 4x – 1[/math] and [math]DC = x + 11[/math], what are the values of [math]AD[/math] and [math]DC[/math]?
[list=1] [*]Use the Perpendicular Bisector Theorem to determine the values of [math]AD[/math] and [math]DC[/math]. [*]Use substitution to solve for [math]x[/math]. [*]Substitute the value of [math]x[/math] into the given equations to determine the values of [math]AD[/math] and [math]DC[/math]. [/list]