fatimahf2003h12
fatimahf2003h12 fatimahf2003h12
  • 01-09-2019
  • Mathematics
contestada

30 POINTS!!!

Find the value of x.
(Note: The line passing through the center of the circle is a diameter.)

115
117
121
130

30 POINTS Find the value of x Note The line passing through the center of the circle is a diameter 115 117 121 130 class=

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sqdancefan
sqdancefan sqdancefan
  • 01-09-2019

Answer:

  115

Step-by-step explanation:

The measure of x is half the sum of the intercepted arcs. The arc on the left is a semicircle, so 180°.

The arc on the right is the difference between 180° and the two arcs shown, 60° and 70°, so is 180° -60° -70° = 50°.

Then half the sum of the intercepted arcs is ...

  x° = (180° +50°)/2 = 230°/2 = 115°

  x = 115

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