Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
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Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
Answer:
x = -6
-18+4y=0 => 4y=18 =>y=18/4=9/2
Y=5
3x+20=0 => x=3x= -20=> x= -20/3
Step-by-step explanation:
circumference is C = πd, d = diameter.
we know the diameter is 60, so one time around the track is just C = π60 which if you plug that in your calculator, we get C ≈ 188.4955592153876.
Answer:
Step-by-step explanation:
Shaded will be your numerator then count all spaces together for denominator.
3rd option: 
is the correct answer
Step-by-step explanation:
First of all, we have to observe the number line
Observing the number line we can see that the number -0.5 or -1/2 is not included in the solution as the circle on -1/2 is empty. An empty circle means that the number is not included in the solution.
While on the other side we can see that 3 has a filled circle which means 3 is included in the solution
This means that the solution might be:
By comparing the observation and the answer choices we can conclude that
3rd option: is the correct answer
Keywords: Inequalities, solution
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