Aradio station will announce the winner of a contest when 3,200 callers have phoned the station. at 3: 00 p. m. 400 callers were counted. at 4: 00 p. m. 650 calls had been recorded. by 5: 00 p. m. 950 calls had come into the station, and by 6: 00 p. m. 1,300 calls had been counted. if the pattern continues, when will the radio station announce a winner?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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step-by-step explanation:

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a