Answer:
x =55 degrees
y = 35 degrees
Step-by-step explanation:
We know that the distance from the center of the circle to the circumference is the radius
that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same
Let us call one of the angles z
we know that the sum of the angles in a triangle is 180 degrees
That simply means;
80 + 2z = 180
2z = 180-80
2z = 100
z = 100/2
z = 50 degrees
So the angles at each upper end of the cyclic quadrilateral are;
x + 50 and y + 50
we know that the angles that face each other in a cyclic quadrilateral are supplementary
Thus;
95 + y+ 50 = 180
y= 180-95-50
y= 180-145
y = 35 degrees
Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50
Thus;
x + 50 = 105
x= 105-50
x = 55 degrees
Answer:
20 degrees
Step-by-step explanation:
Since angle B and angle A are both inscribed angles to the same arc, they must be equal. Therefore:
7x-8=5x
Subtract 5x from both sides:
2x-8=0
Add 8 to both sides:
2x=8
Divide both sides by 2:
x=4
Now, you can plug this back into the equation for angle B:
B=7(4)-8
B=28-8
B=20
Hope this helps!
The answer will be 2,567.36, hoped this helped
Two points of the slope y=(2x+2) - 3 are (-1,0), (0,1)
Answer:
The degree of freedom = 16
Step-by-step explanation:
In conducting hypothesis tests where the population standard deviation isn't known, the t-distribution is used to obtain critical value and p-value of the distribution.
To use the t-distribution, the degree of freedom of the test is usually required.
The degree of freedom refers to the maximum number of independent variables, values or parameters, that are allowed to vary in the sample data.
The degree of freedom for a paired test with the same sample size for the two pairs, is given mathematically as
df = n - 1
where n = Sample size = 17
df = 17 - 1 = 16
Hope this Helps!!!