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Answer:
2
Step-by-step explanation:
Given the circle: 
To determine the length of the radius, we complete the square.
Step 1: Subtract 4 from both sides

Step 2: Divide the coefficient of x and y by 2, square it and add it to both sides

Step 3: Factorize the Left Hand side and simplify the Right Hand side.

Comparing with the standard form of the equation of a circle

r=2
Therefore, the radius of the circle is 2.
Given:
Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).
Triangle ABC reflected over the x-axis to get the triangle A'B'C'.
To find:
The coordinates of the image A'B'C'.
Solution:
If a figure reflected over the x-axis, then rule of transformation is

Now, using this rule, we get



Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).
Answer:
10
Step-by-step explanation:
Bisect the 72° angle to get an exterior angle of 36°.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
360°/36° = 10
Answer: There are 10 sides.
Answer:
77
Step-by-step explanation: