Given that j || k, what is the measure of the missing angle?
2 answers:
Answer:
the measure of the missing angle is 60°
Step-by-step explanation:
GIVEN : j || k
solution :
We will use the property of linear pairs
120° + ∠1 = 180° (sum of linear pairs is 180°)
⇒ ∠1 = 180°- 120°
⇒∠1 = 60°
now since j || k
So, we can use corresponding angle properties
So, ∠? = ∠1 (corresponding angles are equal)
⇒∠? = ∠1 = 60°
Thus ? = 60°
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Answer:
(3, 0).
Step-by-step explanation:
dentifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.
In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time.
Hence, The Answer is ( 3, 0)
