Answer:
1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'
2. Translate A' to Q
Step-by-step explanation:
We notice the triangles have the same orientation, so no reflection or rotation is involved. The desired mapping can be accomplished by dilation and translation:
1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'
2. Translate A' to Q
The result will be that ΔA"B"E" will lie on top of ΔQRT, as required.
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The two consecutive integers would be 10 and 12. Not 100% sure though.
The answer is 24. think of x as the original amount, and y as the new
amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y,
which is what we need, and you have x/1.5 = y as well as x-12 = y. Use
the equal values method and make an equation x/1.5=x-12. solve this
equation to get x, which is 36. to figure out the new amount, y, you
need to subtract 12, which would help you get 24 as your final answer.