Answer:

Step-by-step explanation:
The Law of Cosines is given as:
.
Plugging in given values, we get:
.
Adds up to 180 degrees. For two angles to be non-supplementary the must sum to anything other than 180 degrees, to be non-adjacent they can't share a common side (Ray)
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Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
Answer:
You will need to double your net income in order to make a profit.
Step-by-step explanation:
1500 x 2 = 3000 - 2500 = 500 which is 500 dollars profit