If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
I believe that the answer would be 45
There are 10 juice boxes in the cooler altogether.
2 of them are grape.
The first time Jill pulls one out with her eyes closed,
the probability that it's a grape is
2 / 10 .
If that try is successful, then there are 9 boxes left in the cooler,
and one of them is grape.
If she already has one grape, and reaches in again with her eyes
closed, the probability of pulling out the second grape is
1 / 9 .
The probability of both events happening in two tries is
(2/10) x (1/9) = 2/90 = 1/45 = (2 and 2/9) percent .
Can't see the photo fully! Sorry!
Answer:
Step-by-step explanation:
Given: 
Factorizing the numerator and the denominator, we have:
18
- 45q + 25 = 18 - 30q - 15q + 25
= (3q - 5)(6q - 5)
and
9 - 25 = (3q - 5)(3q + 5)
So that,
= 
=
Therefore,
=
