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The mean weight of the packages is 2.5, so the total weight of the packages is found by multiplying 2.5 pounds by 4 which is equal to 10 pounds. That is the tial weight of the four books. To find the weight of the fourth book, the three other weights are subtracted from 10 pounds:
Answer:
Step-by-step explanation:
Circle A has center (-2, 3)
Circle B has center (2, -2)
Circle A can be mapped to Circle A' by a translation:
Center Rule of translation New center
(x, y) (x+4, y-5)
A(-2, 3) A'(-2+4, 3-5) A'(2, -2)
Circle A with radius r 1=2
Circle B with radius r 2=3
Scale factor= r 2/r 1 = 3/2 = 1.5
Since any two circles can be translated to have the same center, the dilation r2/r1 proves the circles are similar where r1 and r2 are the radii of the circles.
The Circle A' and circle B both have center (2, -2). Then circle A' can be mapped to circle B by a dilation with center (2, -2) and a scale factor 3/2=1.5. So circle A and circle B are similar.
Therefore: Translation right 4, down 5, and then a dilation of 1.5 is true.
Translation down 5, right 4, and then a dilation of 1.5 is true.
