Answer:
60 degrees.
Step-by-step explanation:
Since you know that y = 74 because they are vertical angles, and 46 = the angle across from it (there is a theorem for it). Since one line is 180 degrees, and you already know the two sides next to x, which is 74 and 46, you can do 180 - 74 - 46. Your final answer should be 60 degrees.
Answer: ![100-x](https://tex.z-dn.net/?f=100-x)
Therefore, the algebraic exp
Step-by-step explanation:
Given : x represents the number of pounds of coffee A.
The total weight of the mix of coffee A and coffee B = 100 pounds.
Then , we have the following expression to represents the number of pounds of coffee B:-
![100-x](https://tex.z-dn.net/?f=100-x)
Therefore, the algebraic expression that represents the number of pounds of coffee B. :-
![100-x](https://tex.z-dn.net/?f=100-x)
Answer:
a^3 + b^3
Step-by-step explanation:
(a + b)(a^2-ab+b^2)
a(a^2 -ab +b^2) +b(a^2-ab+b^2)
a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3
a^3 -a^2b +a^2b ab^2-ab^2 + b^3
The final answer will then be:
a^3 + b^3
Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!
Its a bit hard to read your question but it looks like its a mixture of 12% and 17% solutions forming a 14% solution.
This is essentially like a molarity question. The total volume must be ten, and the average the %s must be 14.
The answer is 4 gallons of 17% and 6 gallons of 12%
It looks like you're trying to solve
3x₁ + 7x₂ + s₁ = 49
x₁ +4x₂ +s₂ = 31
Fill in the given values for x₁ and s₁ and your system reduces to
7x₂ = 49
4x₂ +s₂ = 31
The first of these equations tells you x₂ = 49/7 = 7, so the second equation becomes
28 +s₂ = 31
and it is immediately obvious that s₂ = 3
Your solution is (x₁, x₂, s₁, s₂) = (0, 7, 0, 3).