Question

Question 3Solve for x. Assume all segments that appear to be tangent are tangent.7x + 2201816x +3X =

Answer 1

`\begin{gathered} From\text{ the image drawn above:} \\ AT* TD=BT* TC\text{ (intersecting chord theorem)} \end{gathered}`

Thus, we have:

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

Hence, the value of x is 4