Answer:
x = 32 degrees
Angle ABC (left one): 153 degrees
Angle CBD (right one): 27 degrees
Step-by-step explanation:
We know that the total angle will be 180 degrees, as it's a continuous straight line.
We can set the sum of our 2 angles equal to 180 degrees and solve for x.
(4x + 25) + (x - 5) = 180
4x + 25 + x - 5 = 180
4x + x + 25 - 5 = 180
5x + 20 = 180
5x = 160
x = 160/5 = 32
x = 32
Angle ABC:
4x + 25 = 4 * 32 + 25 = 128 + 25 = 153
153 degrees
Angle CBD:
x - 5 = 32 - 5 = 27
27 degrees
We can confirm this by adding the 2 angles together. We should get 180 degrees.
153 + 27 = 180
Checks out!
A rectangle or a parallelogram is a polygon with only 2 congruent sides and 2 congruent angles.
X-3=14
+3 +3
x=17
x-3=-14
+3 +3
x=-11
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<u>Given</u>:
The equation of the circle is 
We need to determine the center and radius of the circle.
<u>Center</u>:
The general form of the equation of the circle is 
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation
to determine the center.
The given equation can be written as,

Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
<u>Radius:</u>
Let us compare the general form of the equation of the circle with the given equation
to determine the radius.
Hence, the given equation can be written as,

Comparing the two equation, we get;


Thus, the radius of the circle is 8