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Geometry

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Points Lines and Planes: Segment Bisector Relationships

GEOM-RTYMKK

Points $M$, $A$, and $H$ are collinear points. $\vec { AT }$ bisects $\overline { MH }$.

If $MH=62$, $AT=40$, and $MA=3x+7$, then find the value of $x$.

A

$31$

B

$11$

C

$\cfrac { 55 }{ 6 } $

D

$8$