Respuesta :

[tex]\begin{gathered} From\text{ the image drawn above:} \\ AT\times TD=BT\times TC\text{ (intersecting chord theorem)} \end{gathered}[/tex]

Thus, we have:

[tex]\begin{gathered} 20(6x+3)=18(7x+2)_{} \\ 120x+60=126x+36 \\ 60-36=126x-120x \\ 24=6x \\ x=\frac{24}{6} \\ x=4 \end{gathered}[/tex]

Hence, the value of x is 4

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