Answer:
There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.
<span>The
population standard deviation is unknown, sample size is less than 30,
and the population has a normal or near-normal distribution</span>.
For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:
- All four interior angles = 90° each.
- Opposite sides are parallel and equal to each other.
- Diagonals should be of the same length and should bisect each other.
<h3>Properties of a Rectangle</h3>
- All four angles of a rectangle are 90° each.
- There are two pairs of parallel sides that are equal in length.
- The diagonals bisect each other and are of equal length.
Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:
- Make the four interior angles 90° each.
- The opposite sides should be parallel and equal to each other.
- The diagonals should be of the same length and should bisect each other.
Learn more about properties of rectangle on:
brainly.com/question/2835318
Answer:
Step-by-step explanation:
The center of the circle is the midpoint of the two end points of the diameter.
Formula
Center = (x2 + x1)/2 , (y2 + y1)/2
Givens
x2 = 4
x1 = - 10
y2 = 6
y1 = - 2
Solution
Center = (4 - 10)/2, (6 - 2)/2
Center = -6/2 , 4/2
Center = - 3 , 2
So far what you have is
(x+3)^2 + (y - 2)^2 = r^2
Now you have to find the radius.
You can use either of the endpoints to find the radius.
find the distance from (4,6) to (-3,2)
r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )
x2 = 4
x1 = -3
y2 = 6
y1 = 2
r^2 = ( (4 - -3)^2 + (6 - 2)^2 )
r^2 = ( (7)^2 + 4^2)
r^2 = ( 49 + 16)
r^2 = 65
Ultimate formula is
(x+3)^2 + (y - 2)^2 = 65
The radius is √65 = 8.06
(8x + 2y) - (7x + 2y) = 30 - 24
X = 6
