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
Answer:
greatest - romania; least - us; proof below
Step-by-step explanation:
to answer this question we must first find all the population densities by dividing the population by the area
for the us
272648000/9364520 = 29.115
for romania
22609000/237391 = 95.2394994
for ghana
18339000/237533 = 77.2061145
this means that the us has the lowest population density
this also means that romania has the highest population density
Because the shapes are similar find 1 side of the small shape and 1 side of the big shape that are in the same place/that are similar to each other.
The bottom part of both shapes have a number so let’s use those.
The numbers (in ratio form) are 8:24
The GCF (greatest common factor) that goes into both numbers is 8.
So divide each side by 8 (8 divided by 8 and 24 divided by 8)
Now you have 1:3. (Again, in ratio form)
This is your scale factor.
So in the top box put 1 and the bottom box put 3
SCALE FACTOR 1:3
Answer:
See below.
Step-by-step explanation:
The first rectangle is 8 by 10. Cutting it in half once will give a rectangle 8 by 5 because 10/2 = 5. The area will be 8*5 = 40. The next will be 8 by 2.5. The area will be 8*2.5=20 and so on. Fill out the table by multiplying the side lengths to find the area.
Number of Cuts Process Area
0 8*10 80
1 8*5 40
2 8*2.5 20
3 8*1.25 10
4 8*0.75 5
5 8* 0.375 2.5
6
......
n 8*10(1/2)^n
To graph, graph as (0,80) where 0 is the number of cuts and 80 is the area. Then graph (1,40) and (2,20) etc. It will create a curve like the graph attached.
