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The required function of the situation is f(x) = 2670x.
Step-by-step explanation:
Given,
Population is = 3000
Evert year it is decreased by 11%.
To find the function of the given situation.
Formula
If the original population is a and is decreased by b% the population after 1 year will be a×
After x year the population will be = a××x =
Now,
Let after x years the population will be,
f(x) = 3000x×
= 2670x
Hence,
The required function of the situation is f(x) = 2670x.
<h3>Answer: Tony is correct</h3>
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Explanation:
There are number of ways to go about this, but let's pick on the sides marked in the diagram below (circled in red and blue). I picked on those sides specifically because they are on either side of the marked angles (A and Q).
They help form the proportion below, in which we'll show later on its a false statement.
AE/PQ = AB/QR
24/(14.5) = 18/(11.5)
24*11.5 = 14.5*18
270 = 261
We arrive at a false statement at the end, so the original proportion is false. Furthermore, it means the figures are <u>not</u> similar.
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We could try the other way around and try to see if
AE/QR = AB/PQ
is true or not
Let's find out
24/(11.5) = 18/(14.5)
24*14.5 = 11.5*18
348 = 207
We see this is false as well. The gap is even bigger than before, so the first scenario was slightly close to having similar polygons. But neither case works perfectly. So that's why we don't have similar polygons and why Tony is correct. It's not enough to look at the angles only when dealing with polygons that have more than 3 sides. If we were just focused on triangles, then Jacenta would be correct.