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
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Answer:
Pretty Simple!
Now that you know about ratios and all that, this is pretty tame compared to the last problem.
Now, the problem is talking 2D(2 Dimensions)
The ratio is not going to work because it has only one parameter.
Thus, we need to square it!

Thus, we have your correct ratio.
Now, we only need to do the same thing for the triangle problem. Meaning that, we need to compare the ratios, with x as the thing we are looking for.

See? X is practically handed to us.
Hope this helps!
When Sam is 13 his mother will be 39 which is 3 times as old as he is. So Sam's mother will be 3 times as old as Sam will be in 11 years. (Your answer is 11 years.)
9514 1404 393
Answer:
3 3/4 cups
Step-by-step explanation:
The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.
As a mixed number 15/4 = 3 3/4.
Ana will need 3 3/4 cups of sugar for 10 dozen cookies.