Respuesta :

Step 1

State the intersecting chord theorem according to the given question

[tex]\begin{gathered} AP\times PB=CP\times PD \\ AP=21 \\ PB=2x \\ CP=x+5 \\ PD=27 \end{gathered}[/tex]

Step 2

Substitute

[tex]21(2x)=27(x+5)_{}[/tex][tex]\begin{gathered} 42x=27x+135 \\ 42x-27x=135 \\ 15x=135 \\ \frac{15x}{15}=\frac{135}{15} \\ x=9 \end{gathered}[/tex]

Hence, x=9

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