Hey!
Hope this helps...
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Assuming that the sum of all the angles must equal 180°
180 - (27+10) = k
180 - 37 = k
k = 143°
Answer:
![\frac{5}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D)
Step-by-step explanation:
If you have the same denominator, you can just subtract the numerators normally and carry over the denominator.
Answer:
(see image)
bottom right image
Explanation:
First try the origin (0,0) to rule out two of the graphs.
3y ≥ x - 9 3(0) ≥ (0) - 9
3 ≥ - 9
yes 3x + y > - 3 3(0) + (0) > - 3
3 > - 3
yes so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs.
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa.
Try point (4, 2)
3y ≥ x - 9
3(2) ≥ (4) - 9
6 ≥ - 5
yes3x + y > - 3
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3
yesSo the graph is the bottom right one since (4, 2) is included in that shaded region.
Answer:
The answer is "Option A"
Step-by-step explanation:
The valid linear programming language equation can be defined as follows:
Equation:
![\Rightarrow \ Min\ 4x + 3y + (\frac{2}{3})z](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%20Min%5C%20%204x%20%2B%203y%20%2B%20%28%5Cfrac%7B2%7D%7B3%7D%29z)
The description of a linear equation can be defined as follows:
It is an algebraic expression whereby each term contains a single exponent, and a single direction consists in the linear interpolation of the equation.
Formula:
![\to \boxed{y= mx+c}](https://tex.z-dn.net/?f=%5Cto%20%5Cboxed%7By%3D%20mx%2Bc%7D)