Answer:
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Step-by-step explanation:
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0.067
Explanation
6.7% = 0.067 in decimal form. Percent means 'per 100'. So, 6.7% means 6.7 per 100 or simply 6.7/100. If you divide 6.7 by 100, you'll get 0.067
The answer is A.) 21x/^3y
Here is proof
Answer: Rotations, reflections, translations (A, C, and E)
Imagine you had a camera aimed at a triangular figure on a piece of paper. If you rotate the camera, then the image of the triangle appears to rotate. In reality it's the other way around. What this means is that the triangle is not changing at all. It keeps the same size, shape, area, perimeter, etc. This applies to when the camera pans left or right, ie shifts from side to side. The triangle will translate but again the triangle isn't changing at all. It's merely an illusion. Reflections are the same way. Imagine having a piece of glass or a mirror that reflects the image which is an identical copy; although everything is flipped.
Dilations are not isometries because the image is a different size then the pre-image. The same shape is maintained though. Note: the scale factor must be some number other than 1.
another note: "isometry" breaks down into "iso+metry" with "iso" meaning "same" or "equal", and "metry" meaning "measure". So if you had 2 identical yard sticks, then they are isometrical or equal in length.
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is 
Explanation:
(1) The miles that train travels per gallon is given by
Dividing, we have,
Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are 
and 
Thus, substituting the coordinates in the slope formula, we get,
Simplifying, we have,
Thus, the slope of the graph is
