There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°
The answer is C. 98.47
Please give Brainliest answer, thanks.
Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. 
. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is 
. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
The average speed of Dolly is 33.33kmph.
Average Speed:
The average speed is defined as the total distance travelled by the object in a particular interval of time. It can be calculated by dividing the total distance travelled by the total time taken.
So, Average Speed = total distance / total time
Here,
Let the total distance is 100 km.
Therefore, consider she will travel 60 km at speed of 60 kmph , 30 km at speed of 30 kmph and 10 km at speed of 10 kmph.
she will required times of 1 hour, 1hour and 1hour
So,
Average speed = 100 / (1 + 1 + 1)
=> 100 / 3 = 33.33
To know more about Average speed here
brainly.com/question/12322912
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Answer: E. none of the above
Step-by-step explanation:
The given data values that represents the population:
2, 6, 3, and 1.
Number of values : n=4
Mean of the data values = 
Sum of the squares of the difference between each values and the mean =
Now , Variance = (Sum of the squares of the difference between each values and the mean ) ÷ (n)
= (14) ÷ (4)= 3.5
Hence, the variance is 3.5.
Therefore , the correct answer is "E. none of the above".
