Let the number be x.
6x-20=94
6x=114
x=19
Answer:
19. C
20. D
21. B
22. A
Step-by-step explanation:
If an angle is subtended from an arc and it goes to the opposite end of the circle, the angle is HALF of the measure of the arc. If it goes to the center, it is SAME measure as arc.
19.
Arc BC is DOUBLE of Angle BAC, so
78 * 2 = 156
Answer is C
20.
Arc BEC is DOUBLE of Angle BAC, so
114 * 2 = 228
Answer is D
21.
Angle ABC is HALF of Arc AC, so
Angle ABC = 110/2 = 55
Answer is B
22.
Angle ABC is HALF of Arc AC, so
Angle ABC = 218/2 = 109
Answer is A
200=x-4 original equation
204=x addition property of equality (add 4 on both sides)
x=204 symmetric property
Answer:
Step-by-step explanation:
6x + 12 + 4x + 8 = 180 {Linear pair}
6x + 4x + 12 + 8 = 180 {Combine like terms}
10x + 20 = 180 {Subtract 20 from both sides}
10x = 180 - 20
10x = 160 {Divide both sides by 10}
x = 160/10
x = 16
m∠KLJ = 6*16 + 12
= 96 +12
= 108
m∠JLM = 4*16 + 8
= 64 + 8
= 72
Answer: Choice A
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Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality 
would have the boundary line 
, and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.
