private3 private3
  • 14-05-2021
  • Mathematics
contestada

Find the value of x.

Find the value of x class=

Respuesta :

ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 16-05-2021

Answer:

x = 5

Step-by-step explanation:

TU is a tangent segment with length 6.  RT is a secant segment.

In the circle, the square of the tangent is equal to the product (multiply) of the part of the secant outside the circle and the secant's entire length.

Words don't work well here, do they!

In symbols,  (ST)(RT) = (TU)^2

[tex]4(x+4)=6^2\\4x+16=36\\4x=20\\x=5[/tex]

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