Answer:
y=-7
Step-by-step explanation:
-2=y+5
-7=y
The two angles are a linear pair.
(Explanations down below!)
Linear pair angles must add up to 180 degrees. You can tell that the two angles add up to 180 degrees because they form a straight line (which is 180 degrees).
Complementary angles add up to 90 degrees. The two angles are not complementary because they do not form a 90 degree angle (right triangle, square in corner, like a L shape).
Vertical angles are opposite each other and are equal to one another. These angles are adjacent to each other and do not look similar.
Answer:
The correct answer is b. 116,900
The publishing company must sell 116,900 copies of the book to break even.
Step-by-step explanation:
Each book costs 0.55 to make and the company can sell it at 6.75, which means that the company earns 6.20 from each book, this is called the net value. If you divide the amount htat the company paid for the rights by the net value you can find the total number of copies that the company has to sell to break even.
# books = $725,000/$6.20 = 116935 or approximately 116900 copies of the book.
Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
Answer:
<h2>
</h2>
Step-by-step explanation:
Given,
Perpendicular ( p ) = 3√2
Base ( b ) = 2√3
Hypotenuse ( h ) = ?
Now, let's find the length of the hypotenuse:
Using Pythagoras theorem:
plug the values
To raise a product to a power, raise each factor to that power
Multiply the numbers
Add the numbers
Take the square root of both sides of the equation
Hope this helps...
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