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°
Answer:
Step-by-step explanation:
Given
--- total frequency
Required
The probability of purple
This is calculated as:
So, we have:
Step-by-step explanation:
N(y)+N(1)=4|3y-8|-4 + 4|3-8|-4
=4|3y-8| +12
1/4+5/12=3/12+5/12=8/12=4/6=2/3
they painted 2/3 of the fence