Answer:
w==77
Step-by-step explanation:
The sum of the 2 opposite interior angles equals the exterior angle.
w-36 +w-20=w+21
combine like terms: 2w-56=w+21
subtract w from both sides: w-56=21
add 56 to both sides: <u>w=77</u>
Answer: C) Shifted 16 units down
The minus 16 at the end is directly the reason why. Think of y = 1/x, and subtracting 16 from both sides to get y-16 = (1/x) - 16. The y-16 will shift every point down 16 units. For instance, the point (1, 1) moves to (1, -15).
Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.
The amount of water decreases
pints in 12 weeks.
Solution:
The amount of water decreases in 7 weeks =
pints
The amount of water decreases each week is same.
Let us first change the mixed fraction into improper fraction.
pints =
pints
The amount of water decreases in 1 week



So, the amount of water decreases in 1 week is
pints.
The amount of water decreases in 12 week



pints
Hence the amount of water decreases
pints in 12 weeks.
<h3>
Answer:</h3>
(x, y) = (7, -5)
<h3>
Step-by-step explanation:</h3>
It generally works well to follow directions.
The matrix of coefficients is ...
![\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%264%5C%5C-5%263%5Cend%7Barray%7D%5Cright%5D)
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
![\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B26%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-4%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D)
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)