Question

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Answer 1

x = 14.56 units

Explanation:

• In the given figure, two secants of the circle are intersecting outside of the circle.

• Thus, by the 'Theorem of intersecting secants', we have:

• 
  `9(9+x)=8(8+19)`

• 
  `\implies 9(9+x)=8(27)`

• 
  `\implies 81+9x=216`

• 
  `\implies 9x=216-81`

• 
  `\implies 9x=131`

• 
  `\implies x=(131)/(9)`

• 
  `\implies x=14.55555..`

• 
  `\implies x\approx14.56\: units`