Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
the answer is quite simple on this one. angles 1 and 3 are equal, and angles 2 and 4 are equal.
if you thi k about moving line t then you can see 2 and 4 will not add to 90°. angles 2 and 3 do not add to 90° because their angles added make a straight line (180°). answer B is almost true but not quite since the angles are not perpendicular to each other (1 and 3).
therefore, answer is A because of said explanation about answer B in previous paragraph. they make a straight line (180°). just basic geometry.
Answer:

Step-by-step explanation:
This is a 45-45-90 triangle. The relationship between the legs and the hypotenuse is H = L
Plug in the given information:

Solve for y:




Answer:
There is a constant of proportionality between the two purchases and each book costs $4.99 (option B).
Step-by-step explanation:
A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.
In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.
In this case, the constant of proportionality k will relate the number of books bought N and their cost C in the following way:
C=k*N
So k is the price per book.
For the 12 books:

k=4.99
And for the 21 books:

k=4.99
The constant k for the two purchases is the same, thus <u><em>there is a constant of proportionality between the two purchases and each book costs $4.99 (option B).
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