The definition of similarity in terms of similarity transformations states that two figures are similar if and only if there is a compositon of rigid motion and dilation that maps one figure to
the other. Suppose triangle ABC~triangle DEF. Explain how this definiton ensures:
1. The equality of all corresponding pairs of angles.
2. The proportionality of all corresponding pairs of sides.
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Suppose there are 10 five and six-year-old attending a birthday party. when a 30 year old mother walks into the room with an infant in her arms, what happens to the mean age in the room? what happens to the standard deviation of ages in the room? a. the mean and standard deviation of both change. b. the meaning will change, but the standard deviation will stay approximately the same. c. i mean will stay approximately the same, but the standard deviation will change. d. the mean and standard deviation will both stay approximately the same.

What is f(3) for the quadratic functionf(x)=2x2 + x – 12? f -3g 3h 6i. 9

(08.01)consider the following pair of equations: x + y = −2 y = 2x + 10 if the two equations are graphed, at what point do the lines representing the two equations intersect? (−4, 2) (4, 2) (−2, 4) (2, 4)