Respuesta :

Hrishii

Answer:

ST = 7

Step-by-step explanation:

  • By the theorem of intersecting secants outside of a circle, we have:

  • [tex]RS(RS +ST) = RQ (RQ+QP)[/tex]

  • [tex]\implies 11(11 +ST) = 9 (9+13)[/tex]

  • [tex]\implies 11(11 +ST) = 9 *22[/tex]

  • [tex]\implies 11 +ST =\frac{ 9 *22}{11}[/tex]

  • [tex]\implies 11 +ST =18[/tex]

  • [tex]\implies ST =18-11[/tex]

  • [tex]\implies\huge\orange{\boxed{ ST =7}}[/tex]

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