You didn't supply a list. The so-called rigid transformations of translation, rotation and reflection create congruent triangles.
Generally it's dilation by a factor about a point is preserves similarity but not congruency. Any transformation which includes such scalings but is otherwise rigid also preserves similarity but not congruency.
Answer:
sugar| cookies
(cups) | (dozens)
1 | 2.5
2 | 5
3 | 7.5
4 | 10
Goes up by 2.5 each time
Not sure if this is what you want
Step-by-step explanation:
equation is y = 2.5x
The answer is 6 shirts
12.5x+8=83
12.5x=83-8
12.5x=75
x=75/12.5
x=6
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.