samuelcannon231
samuelcannon231 samuelcannon231
  • 23-01-2018
  • Mathematics
contestada

Angle C is an inscribed angle of circle P. Angle C measure (5x-7) and arc AB measure (2x). Find X

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 29-01-2020

Answer:

Step-by-step explanation:

Assuming that arc AB is where the inscribed angle meets the outside of the circle, then the rule is that the inscribed angle is 1/2 of the measure of its intercepted arc.  For us,

[tex]5x-7=\frac{1}{2}(2x)[/tex]

Solving for x:

2(5x - 7) = 2x so

10x - 14 = 2x and

8x = 14 so

x = 1.75

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