Name the image of C after a rotation of 180° about the origin.

C'(-5, 2)

Step-by-step explanation:

Rule to be followed for a point rotated 180° about the origin,

(x, y) → (-x, -y)

From the figure attached,

When ABCD is rotated 180° about the origin, the new points of the image will be

A(2, 0) → A'(-2, 0)

B(4, 0) → B'(-4, 0)

C(5, -2) → C'(-5, 2)

D(1, -2) → D'(-1, 2)

Therefore, image of C will be C'(-5, 2).

the first dot plot best represents the data

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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°