The measure of Arc AU of the given Circle Geometry is; 50°
<h3>How to find the measure of arc angle?</h3>
The circle theorem we will apply to solve for the arc measure states that “Measure of angles subtended to any point on the circumference of the circle from the same arc is equal to half of the angle subtended at the center by the same arc.”
We can express the above theorem as;
Angle at the center = 2 × Angle at the circumference
From the attached image below and from the given statement in the question, we are given that; ∠QUA = 111°
Therefore, applying the circle theorem earlier quoted, we can say that; m∠QDA = 2 × ∠QUA
m∠QDA = 2 × 111° = 222°
Which gives;
∠QOA = = 360° - 222° = 138°
∠QOA = ∠QOU + ∠UOA (by angle addition property)
Thus;
∠QOA = 138° = 88° + ∠UOA
∠UOA = 138° - 88° = 50°
Thus, the measure of Arc AU is;
Arc AU = ∠UOA = 50°
Read more about arc angle at; brainly.com/question/27890907
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It can be (-13,0) or (0.-6.5)
Slope form is y/x
to find this subtract -5, 7 by -3, 5 to get
-2, 2 and putting it in slope format....2/-2 which would be -1 or just -x (means -1x)
so far we've found out.....y = -x (+b)
b is what we need to find now so... plug in one of the coordinates
7=5+b (5 because --5 is positive 5)
b=2
so FINALLY the equation would be y = -x + 2
Answer: 90 Earth years.
Step-by-step explanation:
Analizing the information provided in the exercise, you need to find the Least Common Multiple (LCM) of the given numbers.
You can follow these steps:
1. You must descompose 6, 9, 15 and 18 into their prime factors:

2. Finally, you need to choose the commons and non commons with their greatest exponents and multiply them. Then you get:

Therefore, it will take 90 Earth years for them to all line up.
Since angles EFA, AFB, and BFC lie on a straight line, then they must add up to 180° (angle sum of a straight line)
So, 7x + 4 + 8x + 6 + 6x + 2 = 180
21x + 12 = 180
21x = 168
x = 8