Answer:
Step-by-step explanation:
If KM bisects angle NKL, the angle 3 is congruent to angle 4.
We are given that angle 1 is congruent to angle 2, so that means that angle JKP is congruent to angle PKN. By the definition of an angle bisector, we know then that angle NKM is congruent to angle MKL. By the definition of a straight angle formed by opposite rays, all those angles named above add up to equal 180 degrees. So if angle JKN = 8x + 2 and angle MKL = 3x + 5 and angles NKM and MKL are congruent, then angle NKL = 2(3x + 5) which is 6x + 10. Again, if all those angles above add up to equal 180, then
8x + 2 + 6x + 10 = 180 and
14x + 12 = 180 and
14x = 168 so
x = 12.
Angle MKN = 3x + 5 so if x = 12, then
Angle MKN = 3(12) + 5 and
Angle MKN = 41 degrees
Answer:
Option a) circle 5 meters and 22 meters
Step-by-step explanation:
We are given the following information in the question:
A pair of diameter and the circumference is given. We have to find a correct approximations for the diameter and circumference.
a) circle 5 meters and 22 meters

b) 19 inches and 50 inches

c) 33 centimeters and 80 centimeters

Thus, no pair gives a reasonable approximation. Only the circle with diameter 5 and circumference 22 meters have closest approximation.
For this case we have the following equation:

From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:
For (8, 5):
We substitute the following values:

We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.
Answer:
It is not a good model. One of the points does not belong to the line.