Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
Answer:
[4, -1]
Step-by-step explanation:
Using the Elimination Method:
3x + y = 11
5x - y = 21
__________
8x = 32
__ ___
8 8
x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y
The <em>y</em>'s are already <em>additive</em><em> </em><em>inverses</em><em> </em>[result in 0], canceling each other out.
I am joyous to assist you anytime.
To evaluate 
, you'd start by rewriting this as 
and your first step of evaluation is to evaluate 
.
When you evaluate , you have the following:
and this is undefined. Since you cannot perform the first step of the evaluation, you cannot evaluate 
.
9514 1404 393
Answer:
2440
Step-by-step explanation:
The difference in fixed costs is ...
37815 -16465 = 21350
The difference in variable costs is ...
20.50 -11.75 = 8.75 . . . . per book
Then the number of books that must be produced for the difference in variable costs to be equal to the difference in fixed costs is ...
21350/8.75 = 2440
For production of 2440 books, the costs of the two methods will be the same.
_____
<em>Additional comment</em>
You can write expressions for total cost of each production method. When you set them equal and solve for the number of books, you find the math you end up doing is the same as that shown above.
(3x + 2y)^2
Use the FOIL method (first, outside, inside, last)
(3x + 2y) (3x +2y)
9x^2 +6xy +6xy +4y
9x^2 + 12xy + 4y is your answer.
