Polygons ABCD and A'B'C'D' are shown on the following coordinate grid: What set of transformations is performed on ABCD to form A'B'C'D'?

A. A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
B. A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin
C . A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
D. A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

p

step-by-step explanation: