Answer: Alternative optimal
Step-by-step explanation:
Alternative optimal solution means that
there are several optimal solutions that can be used to get identical objective function value.
Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.
Answer:
r≈21.01cm
Step-by-step explanation:
I think that's the exact answer
Answer:
839393
Step-by-step explanation:
B. same side interior angles are supplementary when two parallel lines are crossed by a transversal (PV and QM are two parallel lines crossed by TL)
c. definition of supplementary angles the definition of supplementary means that they add up to 180 degrees and you concluded in b that <1 and <2 are supplementary
e. definition of congruent angles two angles that are congruent have the same measure
g. definition of supplementary angles two angles that add up to 180 are supplementary
h. if the same side interior angles are supplementary when two lines are intersected by a transversal then the lines are parallel ( TL and VM are intersected by QM and <2 and <3 are supplementary)
In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
Given that:
mArc R V = mArc V U,
Angle S O R = 13 x degrees
Angle T O U = 15 x - 8 degrees
<h3>How to calculate the angle TOU ?</h3>
∠SOR = ∠TOU (Vertically opposite angles are equal).
Therefore:
13 x = 15x - 8
Subtracting 13x from both sides
13x - 13x = 15x - 8 - 13x
0 = 15x - 13x - 8
2x - 8 = 0
Adding 8 to both sides:
2x - 8 + 8 = 0 + 8
2x = 8
2x/2 = 8/2
x = 4
∠SOR = 13x
= 13(4)
= 52°
∠TOU = 15x - 8
= 15(4) - 8
= 60 - 8
= 52°
Let a = mArc R V = mArc V U
Therefore:
mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)
Substituting:
a + a + 52 = 180
2a = 180-52
2a = 128
a = 128/2
a= 64°
mArc R V = mArc V U = 64°
In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
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