A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
Answer:
C. $14.95
Step-by-step explanation:
Do $13 times 15 divided by 100 and add that to $13.
Answer: A train traveled486 miles in 7 hours
They would be going at least 40 - 70
Step-by-step explanation:
Answer:
x = 
Step-by-step explanation:
Given
x + 
+ (x - 1) = 
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
10x + 15 + 10(x - 1) = 8
10x + 15 + 10x - 10 = 8
20x + 5 = 8 ( subtract 5 from both sides )
20x = 3 ( divide both sides by 20 )
x =
Answer:
Maya 22 Ryan 66 Eric 28
Step-by-step explanation:
m+e+r=116
r=3m
e=m+6
m+m+6+3m=116
Maya sent 22
Ryan is 22*3=66
Eric 22+6=28
