Find the value of x if $¯ ¯¯¯ ¯ D E$ is the perpendicular bisector of $¯ ¯¯ ¯ A C$

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Solution

The correct option is D 14
$D E$ is perpendicualr bisector of $A C$ . So it divides $A C$ in two equal parts.
$\Rightarrow A E = E C \Rightarrow 6 x - 4 = 7 x - 18 \Rightarrow 7 x - 6 x - 18 + 4 = 0 \Rightarrow x - 14 = 0 \Rightarrow x = 14$

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