Statements that best describe the triangle are the following:
1. It is a right triangle, therefore one angle is equivalent to 90°.
2. We can solve for the measurement of the other leg using the Pythagorean theorem c²=a²+b².
3. We can use SOH CAH TOA theorem in solving the other unknowns.
I believe the answer is Diane brought 4 pounds of coffee.
<span> The Pythagorean theorem</span>
To solve, we will follow the steps below:
3x+y=11 --------------------------(1)
5x-y=21 ------------------------------(2)
since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)
adding equation (1) and (2) will result;
8x =32
divide both-side of the equation by 8
x = 4
We move on to eliminate x and then solve for y
To eliminate x, we have to make sure the coefficient of the two equations are the same.
We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3
The result will be;
15x + 5y = 55 ----------------------------(3)
15x - 3y =63 --------------------------------(4)
subtract equation (4) from equation(3)
8y = -8
divide both-side of the equation by 8
y = -1
The slope of this graph is - 4
Step-by-step explanation:
The slope of a line is 
, where
and 
are two points on the line- The slope of a horizontal line is zero
- The slope of a vertical line is undefined
∵ The graph is a line
∵ The line passes through points (1 , -2) and (0 , 2)
∴ 
= 1 and 
= 0
∴ 
= -2 and 
= 2
- Substitute these values in the rule below
∵ 
∴ 
∴ m = - 4
The slope of this graph is - 4
Learn more:
You can learn more about the slope of a line in brainly.com/question/4152194
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