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:
<h2>32.25 necklaces</h2>
Step-by-step explanation:
Given that the expected profit upon deduction of booth rent and material cost is at least $300
Given
let the number of necklaces be x
booth rent= $200
The cost of materials for the necklaces = $4.5x
the selling price for all the necklaces =$20x
total expenses= booth rent+cost of material = 200+4.5x
profit = selling price -total expenses
20x-300>200+4.5x+
B. the possible solution is the value of x i.e the number of necklaces to
be sold to make a profit of $300
20x-300>200+4.5x
20x-4.5x=200+300
15.5x=500
x=500/15.5
x=32.25
The Jewelry artist must have to sell a total of approximately 32.25 necklaces
the slope should be -1/2, hope this helps!
4 5/8 is mixed and 37/8 is improper, improper is 4 * 8+5