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.
I'm almost certain it's C :)
Answer:
$10,000
Step-by-step explanation:
the profit was divided to 2+3+3+5=13 parts
the largest amount of profit
=$26,000×5/13
=$10,000
Answer:
Step-by-step explanation:
I belive it is a .
Answer:
1.)
The Venn diagram is in the attachment
2).
percentage of the population that owns only television== 16%
Step-by-step explanation:
The Venn diagram Is represented in the attached photo.
Let's call The total people x
X = people that own only television+ people that own only radio+ people that own both television and radio+ people that own neither the two.
X= (0.68x -y) +(y) +(0.72x-y)+(0.12x)
X= 0.68x-y+y+0.72x-y+0.12x
X= 1.52x-y
Y= 1.52x-x
Y= 0.52x
People that own both= 52%
people that own only television
= (0.68x -y)
= 0.68x-0.52x
= 0.16x
percentage of the population that owns only television= 0.16*100
percentage of the population that owns only television= 16%
