1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Travka [436]
3 years ago
6

Given a regular decagon, find the measures of the angles formed by (

Mathematics
1 answer:
Sonja [21]3 years ago
3 0
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.




You might be interested in
4n² + 3n +5 and 2n²+3​
joja [24]

Answer:

6n^2+3n+8

Step-by-step explanation:

simplify like terms. keep the exponent the same degree it started as

6 0
2 years ago
The tables shows the distance traveled over time while traveling at a constant speed.
Illusion [34]

Answer: b is the answer

Step-by-step explanation:

2400-1200=1200

4 0
3 years ago
Read 2 more answers
3x + 8 + 4x = -8(x - 6) - 8(13x + 5)​
ollegr [7]
3x+8+4x=-8x+48–104x–40
7x+8=-112x+8
-7x -7x
8=-119x+8
-8 -8
0=-119x
0=x
4 0
3 years ago
Read 2 more answers
Two questions please help?
FromTheMoon [43]
21.5, just took the test!!!!
3 0
3 years ago
Read 2 more answers
A woman can bicycle 80 miles in the same time as it takes her to walk 16 miles. She can ride 8 mph faster than she can walk. How
lord [1]

Answer:

she can walk 2 miles mph

Step-by-step explanation:

because 80 ÷8=10

16÷8=2

3 0
3 years ago
Read 2 more answers
Other questions:
  • How are the power rules for quotients and products similar? How are they different? Refer specifically to the way that the rule
    5·1 answer
  • Any suggestions or answers
    6·1 answer
  • Work out the area of a triangle of base 7.5m And height 6cm! <br> Please and thanks beforehand!❤️
    13·1 answer
  • Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.
    15·1 answer
  • Use elimination to solve the system of equation<br> 4x+y=-2<br> 3x+2y=6
    15·1 answer
  • I need a answer asap Please!!
    6·1 answer
  • The interest that Cindy earns on her investment is given by the equation l = 42t where t is the time in years that her money is
    6·2 answers
  • What is 1 + 7k + k = -7? With work provided
    14·2 answers
  • Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
    11·1 answer
  • PLEASE HELP!! Being timed need help asap.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!