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Determine if T is the midpoint of MB.

Determine if T is the midpoint of MB.-example-1

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Check the picture below.


\stackrel{MT}{(8x-11)} +\stackrel{BT}{(11x-1)}~~ = ~~\stackrel{MB}{12x+44}\implies 19x-12=12x+44 \\\\\\ 7x-12=44\implies 7x=56\implies x=\cfrac{56}{7}\implies \boxed{x=8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{MT}{8(8)-11}\implies 53\hspace{5em}\stackrel{BT}{11(8)-1}\implies 87~\hfill \stackrel{\textit{\large T is not the midpoint}}{MT\\e BT}

Determine if T is the midpoint of MB.-example-1
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