Question

Can you please help me out with a question

Answer 1

Tangents to a circle that intersects at a point are equal in length.

Therefore,

|AB| = |AC|

Where

|AC| is the length of line AC

and

|AB| is the length of line AB

Hence,

`\begin{gathered} 4x+2=2x+8 \\ \text{this implies that} \\ 4x-2x=8-2 \\ 2x=6 \\ \text{Dividing both sides by 2, we have} \\ (2x)/(2)=(6)/(2) \\ \text{thus} \\ x=3 \end{gathered}`

x = 3 units