The given polygons are similar
Step-by-step explanation:
By observing the given diagrams, we can see that the respective angles are congruent.
Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.
For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar
So,
The scale factor is:

We can see that the scale factor is same for all sides.
Hence,
The given polygons are similar
Keywords: Polygons, similarity
Learn more about polygons at:
#LearnwithBrainly
 
        
             
        
        
        
The greatest number of the sets you can make are 32 sets 
        
             
        
        
        
Answer:
the answer would be 1/15, or approximately 0.067. 
Step-by-step explanation:
 
        
             
        
        
        
The probabilities are:
- P(red) = 5/24
- P(orange) =  0 
- P(blue) =  1/3
- P(not green)= 17/24
- P(green or black) = 11/24
- P(not yellow)  = 1.
<h3>
How to find the probabilities?</h3>
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
- 5 red marbles.
- 7 green marbles.
- 4 black marbles.
- 8 blue marbles.
So the total number is 5 + 7 + 4 + 8 = 24.
Then:
- P(red) = 5/24
- P(orange) = 0/24 = 0  (because there are 0 orange marbles).
- P(blue) = 8/24 = 1/3
- P(not green) = (24 - 7)/24 = 17/24
- P(green or black) = (4 + 7)/24 = 11/24
- P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).
If you want to learn more about probability, you can read:
brainly.com/question/251701
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