The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.
Which vertex will be in the top position of the regular decagon?
A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.
Now, the smallest angle of rotation will be the angle between the two sides of the decagon.
In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction, point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)
Learn more about decagon here:
brainly.com/question/27314677
#SPJ4
Answer:
2010 cu ft to the nearest whole number.
Step-by-step explanation:
Volume = π r^2 h
= 3.14 * 4^3 * 10
= 2009.6
Answer:
See explanation
Step-by-step explanation:
Given:
18m + 42n
These two variables are not the same, so we can't add the two terms. However, we can factor out a number out of this expression.
The GCF of 18 and 42 is 6.
We can draw 6 out of this expression to get 6(3m + 7n).
This is an equivalent expression.
We can also draw 2 out to get 2(9m + 21n).
We can also draw 3 out to get 3(6m + 14n).
We can also draw 1/2 out to get (1/2)(36m + 84n).
There are endless possibilities, but these are a few. You get the idea!
Please mark as Brainliest! :)
Answer:
86.64%
Step-by-step explanation:
Mean (μ) = 220
σ= 16
n= 4
mean score(X) = 220 -12
= 208
Using central limit theorem which says that for a sample of size (n), the standard error is
standard deviation /√n
= 16/√4
= 16/2
= 8
Standard error = 8
Using Z score
Z = (μ - x) / standard error
Z= (220 -208)/8
Z= 12/8
Z= 1.5
From the table, Z = 1.5 = 0.4332
Since the normal distribution curve is symmetrical, we have
0.4332*2
= 0.8664
Percentage = 0.8664*100
= 86.64%
Answer:
Step-by-step explanation:
Vertical angles are angles on opposites sides of an intersection of two lines. Therefore, 
and 
are vertical angles. Similarly, the angle opposite to the angle marked 83 degrees is also equal to 83 degrees. Vertical angles are always equal.
Since there are 360 degrees in a circle, we have the following equation:
Since and are vertical angles and vertical angles are also equal, the measure of angle 
is also 
