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Equation: (x - 3)^2 + (y + 4)^2 = 36

General Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

Susan did not account for the fact that the minus sign in front of the x actually indicates a positive x-coordinate. The plus sign in front of the y actually indicates a negative y-coordinate, as well. Therefore, the actual center is (3,-4).

Susan did not take the square root of 36, instead dividing it by 2. The square root of 36 is 6, which means the radius of the circle is 6.

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step-by-step explanation:

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answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°