Major arc CBD measures 300°.

Circle O is shown. Line segments C and D are radii. Point B is on the opposite side.

Which is the radian measure of its corresponding central angle?

StartFraction 4 pi Over 3 EndFraction radians
StartFraction 5 pi Over 6 EndFraction radians
StartFraction 5 pi Over 3 EndFraction radians
StartFraction 11 pi Over 6 EndFraction radians

  5π/3 radians

Step-by-step explanation:

The central angle for arc CBD has the same measure as the arc:

  300° = 5π/3 radians

180° is π radians, so (5/3)(180°) = 300° = (5/3)π radians.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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