Respuesta :

jcherry99

Answer:

x = 6

Step-by-step explanation:

  • The line marked 16 is a chord.
  • The line marked 20 is a diameter.
  • 1/2 the diameter is a radius.
  • The radius = 1/2 20 = 10
  • The value x meets 16 at it's midpoint
  • It is given to be 90 degrees.
  • The part of the radius meets the chord at its midpoint.
  • The meeting point to the circumference is 8 units.
  • The Pythagorean Theorem applies.

  • 10^2 = 8^2 + x^2
  • 100 = 64 + x^2
  • 100 - 64  = x^2
  • 36 = x^2
  • x = 6

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