Answer:
X: discrete
Y: continuous
M: continuous
N: discrete
P: discrete
Q: continuous
Step-by-step explanation:
First, we have to know the difference between discrete and continuous variables:
- Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. They take positive integer values, {0, 1, 2, ..., n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values.
- Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. They take positive real values, that means that in the interval used for the variable there are infinite possible values.
Now, we classify each variable:
- The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X.
- The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y.
- The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M.
- The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N.
- The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P.
- The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q.
Answer:
A.
Step-by-step explanation:
Answer:
17) x=8
18)
or 
Step-by-step explanation:
So the rule is
, "c" being the hypothenuse, or the long line that is opposite to the right angle.
17) We know that both values of x are equal to each other, which makes everything 10x easier!

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)
<em>simplify</em> (╥︣﹏╥)

x=8
18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)
Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!



The more you do these, the easier they'll get, so don't worry!