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.
Answer:
The mark up is $21.16 and the final selling price is $44.14
Step-by-step explanation:
To find the mark up price, you simply multiply the cost by the mark up percentage. This will give you the mark up.
$23 * 92% = $21.16
Now to find the total selling price, we add the cost and the mark up together.
$23 + $21.16 = $44.16
Answer: A. They are both incorrect
Step-by-step explanation:
x=3√2
y=6
z=3√2
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45-45-90=1:1:√2
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solve for x
x is the side accordingly to 90 in the smaller triangle, so it should be the [45] side times √2
3×√2=3√2
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solve for y
y is the side accordingly to 90, so it should be the [45] side times √2
3√2×√2=6
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solve for z
z is the side accordingly to 45 in the bigger triangle, x is also accordingly to 45 in the bigger triangle
z=x
z=3√2
Answer:
The required probability is 
or 0.125
Step-by-step explanation:
Consider the provided information.
The spinner is spin twice and we want the sum should be 5.
We can get 5 if first spin gives us 2 and second spin gives 3.
Or we can get 5 if first spin gives us 3 and second spin gives 2.
There are 8 section out off which Three sections numbered 1, one section numbered 2, and four sections numbered 3.
The probability of getting 2 is
The probability of getting 3 is 
Now, the probability that the sum of the two spins will be five is:
Hence, the required probability is or 0.125
(5+1)2 - (12+32) + 3
6 (2) - 44 + 3
12 - 44 + 3 = -29
