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Sagot :
The pont D bisects the line CT, means that
[tex]CD=DT[/tex]Substitute the value in the equation to ontain the vaue of x.
[tex]\begin{gathered} 7x-10=5x+6 \\ 7x-5x=6+10 \\ x=\frac{16}{2} \\ =8 \end{gathered}[/tex]The equation for the length of line CT is,
[tex]\begin{gathered} CT=CD+DT \\ =7x-10+5x+6 \\ =12x-4 \end{gathered}[/tex]Substitute the value of x in the equation to obtain the value of CT.
[tex]\begin{gathered} CT=12\cdot8-4 \\ =96-4 \\ =92 \end{gathered}[/tex]The length of CT is 92.
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