Answer:
L(18, 20)
Step-by-step explanation:
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of K are (10, 11). What are the coordinates of L?
Solution:
If O(x, y) is the midpoint between two points A(
) and B(
). The equation to determine the location of O is given by:

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (
) be the coordinate of L. Therefore:


Therefore L = (18, 20)
Answer:
the answer is 288 because 72 would be one fourth or 25% of 288. 72 plus 72 plus 72 plus 72 equals 288 equals 100%
This solution to this problem is predicated on the fact that the circumference is just:
. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:

So, solving for both the radius and the diameter gives us:

So, the length of thes traight path that goes through the center of the guardain is just
, and we can use the radius for the next part of the problem.
The area of a circle is
, which means we can just plug in the radius and find our area:

So, we have found our area(
) and the problem is done.
Answer:
1.2 cm
Step-by-step explanation:
The area of sircumscribed quadrilateral over a circle is equal to

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.
Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.
So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

Now,

Answer:
A) 68
Step-by-step explanation:
Use the <em>Exterior Angle Theorem</em>.
The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.
Set the equation. Note that you are given the exterior angle and one interior angle:
58 + x = 126
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:
x + 58 (-58) = 126 (-58)
x = 126 - 58
x = 68
A) 68 is your answer.
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