3 years ago

In the diagram, line A F is a side of regular hexagon ABCDEF inscribed in circle O. what is mFDA?

1 answer:

5 0

Since it is a regular hexagon, all 6 sides are the same length. That means that the 6 vertices divide the circle into 6 equal arcs. 360/6 = 60° for each arc. The arch between A and F is an intercepted arc for ∠FDA, and we know that inscribed angles are 1/2 of the measure of the intercepted arc. Since the arc measures 60°, that means that the angle would be 30°.

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See the attachment

Step-by-step explanation:

The inequalities resolve to ...

x ≥ 1 or x ≤ -3

You have chosen the correct placement of the lines on the number line. The "or equal to" symbol (≥ or ≤) means the dots at -3 and +1 are filled in, indicating those numbers are part of the solution.

If the ">" or "<" symbol is used in the inequality, the dot is left open, as in the answer you selected. The open dot indicates that value is not part of the solution set.