The longest chord on the circle is the diameter, and the center of the circle is the midpoint of the diameter.
Use the midpoint formula to find the center
((x1 +x2)/2 , (y1+y2)/2).. Just substitute them for the solution
the x-coordinates are the same, so you can just subtract the y-coordinates to find the radius.
10.5 - 8 = 2.5
The equation of the circle is (x - h)² + (y - k)² = r² where r is the radius and (h, k) is the center.
(x - 4)² + (y - 8)² = 6.25
3*10 = 10+5*s
30 = 10+5s
20 = 5s
s = 4
Answer:
Option 4.∠ERT and ∠MRC
Step-by-step explanation:
Definition of vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross).They are also called vertically opposite angles.
Option 1. ∠KRC and ∠CRH
Refer the figure .
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 2. ∠KRE and ∠ERT
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 3. ∠MRC and ∠KRM
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 4.∠ERT and ∠MRC
MT and EC are the two lines that cross each other at vertex R ,
Thus ∠ERT and ∠MRC are opposite to each other .
Hence ∠ERT and ∠MRC are pair of vertcal angles .
The answer is b. Thank you
down 3 unit mean -3 outside root
right 2 unit mean -2 inside root,
so the answer is
