Question

I need help on an answer to this question.A. 6B. 5C. 8D. 7

Answer 1

`A)6`

1) In this diagram we can see two secant lines crossing that circle. Therefore we can write out the following relation, calling P the point where the secant lines come.

`\begin{gathered} PA\cdot PB=PC\cdot PD \\ 4\mleft(4+x\mright)=5\mleft(5+3\mright) \\ 16+4x=25+15 \\ 16+4x=40 \\ 4x=40-16 \\ 4x=24 \\ (4x)/(4)=(24)/(4) \\ x=6 \end{gathered}`

Thus, the answer is A) x=6