Solve the equation systems or set the values x = 1.8 and y = -0.9 on the equation and check the equality.
A.
6x - 5y = 15
L = 6(1.8) - 5(-0.9) = 10.8 + 4.5 = 15.3
R = 15
L ≈ R
x + 2y = 0
L = 1.8 + 2(-0.9) = 1.8 - 1.8 = 0
L = R
B.
4x + 5y = 8
L = 4(1.8) + 5(-0.9) = 7.2 - 4.5 = 2.7
R = 8
L ≠ R
C.
x - 2y = 4
L = 1.8 - 2(-0.9) = 1.8 + 1.8 = 3.6
R = 4
L ≈ R
4x + 5y = 8
L = 4(1.8) + 5(-0.9) = 7.2 - 4.5 = 2.7
R = 8
L ≠ R
D.
6x - 5y = 15
L = 6(1.8) - 5(-0.9) = 10.8 + 4.5 = 15.3
R = 15
L ≈ R
x - 2y = 4
L = 1.8 - 2(-0.9) = 1.8 + 1.8 = 3.6
R = 4
L ≈ R
We have two probability solutions: A and D.
But I think, Your answer is A.
3/3-1/3= 2/3 of the glasses
Using the Pythagorean Theorem,
radius^2 = 40^2 + 9^2
radius^2 = 1,600 + 81
radius^2 = 1,681
radius = 41
Answer:
A. 264
Step-by-step explanation:
First, we have to find the value of x. Then we can use that to find the required arc measure.
∠M = (1/2)(arc KN - arc LN)
60 = (1/2)((18x -6) -(5x +17)) = (1/2)(13x -23) . . . . substitute and simplify
120 = 13x -23 . . . . . . . multiply by 2
143 = 13x . . . . . . . . . . add 23
11 = x . . . . . . . . . . . . . . divide by 13
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arc KNL = (arc KN) + (arc NL) = (18x -6) +(5x +17) = 23x +11
= 23·11 +11
arc KNL = 264 . . . . degrees
