This construction demonstrate that the set of points equidistance from the endpoints of a line segment is the perpendicular bisector of the segment
we know that
The measure of the external angle is the semidifference of the arcs that it covers
so
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
Let
x------> minor arc MN
major arc MN=360-x
substitute in the formula above
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
75.86=(1/2)*(360-x-x)------> 151.72=(360-2x)------>360-151.72=2x
x=104.14°
therefore
the answer is
the measure of arc MN (minor arc) is 104.14°
7x^4 +7/x^2 on the interval [-2,3]
Answer:
Step-by-step explanation:
First find the population density of AZ and then compare it to the US average of 87.4 people per square mile:
6,482,505
---------------- = 56.9 people per square mile
113,998
The ratio of AZ's population density to the national average is:
56.9
--------- or 569/874
87.4
