Determine if the statement is always, sometimes, or never true. each of the interior angles in a polygon are equal in measure

For this to be true, the polygon has to be a regular polygon (regular polygon has all sides equal and all angles equal, by definition)

Whenever the polygon is NOT regular, ALL the interior angles aren't equal, some might be, others might not, but ALL of them WON'T BE.

Hence, this statement is sometimes true.

ANSWER: Sometimes True

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

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