Answer:
The measure of an exterior angle is found by the following formula: Aˆ0B=^AB-^CD2. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. You can find a measure of an exterior angle of a regular polygon with
N sides. It is equal to 360
o
N
.
Step-by-step explanation:
Angles of a general polygon (exterior and interior) with more than 3 sides are not defined by the lengths of its sides.
However, we can calculate the sum of all interior or exterior angles of any convex polygon. It equals to 360
o
.
It can be proven geometrically since each exterior angle describes a rotation by some angle and a sum of all exterior angles describes a rotation by full angle of
360
o
. So, if all exterior angles are equal, like in a regular polygon, each one equals to 360
o
N
.
It can also be defined with some algebraic calculations based on the fact that a sum of all interior angles is (
N
−
2
)
⋅
180
o
.
Dividing the above by N
we will obtain a value of an interior angle: (
N
−
2
)
⋅
180o
N
.
Therefore, exterior angle of a regular polygon is 180
o
−
(
N
−
2
)
⋅
180
o
N
=
360
o
N
The number 768 is higher than 750 so it would be 800 rounded to the hundredths place
Step-by-step explanation:
6x-12=12+5x
6x - 5x = 12 + 12
x = 24
Answer: Choice A) 66 degrees
========================================================
Minor arc AB (marked in red in the attached diagram) is 45 degrees
Minor arc BE (marked in blue in the same diagram) is 87 degrees
Add the two arcs: 45+87 = 132
Then cut this value in half to get the inscribed angle ADE
132/2 = 66
We cut it in half due to the inscribed angle theorem
Notice how angle ADE cuts off arc ABE (which is composed of minor arc AB and and minor arc BE)
Complete data:
f(x,y) x Y
0.2 50 80
0.3 30 50
0.5 40 60
Answer:
Expected values for x and Y
E(x) = 39, E(Y) = 61
Variance for x and Y
E(x^2) = 1570
E(Y^2) =3830
Step-by-step explanation:
The detailed explanations are contained in the file attached