Given:
A circle with radius 7 units and chord CD = 7 units.
To find:
The measure of arc CD.
Solution:
Let O be the center of the circle.
In triangle OCD,
(Given)
(Radii of same circle)
(Given)
Since all sides are equal, therefore, the triangle OCD is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60 degrees. So,
The measure of central angle is equal to the measure of corresponding arc.
Therefore, the measure of arc CD is 60 degrees.
Answer:
the answer to this is 67.5
Answer:
x = 2 or x = 1 or x = 0 or x = -1 or x = -2
Step-by-step explanation:
Solve for x:
x^5 - 5 x^3 + 4 x = 0
The left hand side factors into a product with five terms:
x (x - 2) (x - 1) (x + 1) (x + 2) = 0
Split into five equations:
x - 2 = 0 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 2 to both sides:
x = 2 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 1 to both sides:
x = 2 or x = 1 or x = 0 or x + 1 = 0 or x + 2 = 0
Subtract 1 from both sides:
x = 2 or x = 1 or x = 0 or x = -1 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 2 or x = 1 or x = 0 or x = -1 or x = -2
4 can go in 66 sixteen times