Answer:
If their angles are the same, if they are proportional, if it states so
Step-by-step explanation:
I don't see the image you sent, but just naming different things that proves how triangles are similar.
Answer:
The time it will take the population to grow to 800 insects is 17 days.
Step-by-step explanation:
The growth function of the insects is exponential.
The exponential growth function is:

Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>t</em> = time taken
It is provided that there were 270 insects after 9 days and initially there were 80 insects.
Compute the value of <em>r</em> as follows:

Now, compute the time it will take the population to grow to 800 insects as follows:

Thus, the time it will take the population to grow to 800 insects is 17 days.
Answer:
B.
Step-by-step explanation:
Well we know that

so we can get the 2 outside of the radical

and we can get the x^2 outside too.

and we also can get y outside.
so we have:
![2x^{2}y\sqrt[5]{7xy^3}](https://tex.z-dn.net/?f=2x%5E%7B2%7Dy%5Csqrt%5B5%5D%7B7xy%5E3%7D)
The triangles are not similar because the smallest sides are 6/10 = 3/5, the medium sides are 8/24 = 1/3, and the longest sides are 10/26 = 5/13 and similar triangles must have the same ratio for all three sides.