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][br][*]Use the Perpendicular Bisector Theorem to determine the values of [math]AD[/math] and [math]DC[/math].[br][*]Use substitution to solve for [math]x[/math].[br][*]Substitute the value of [math]x[/math] into the given equations to determine the values of [math]AD[/math] and [math]DC[/math].[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.