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
Verizon [17]
3 years ago
7

Find the measures of the angles formed by​ (a) two consecutive radii and​ (b) a radius and a side of a regular dodecagon.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
See the picture to better understand the problem

we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus 
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°

therefore

the answer Part a) is 
<span>the measure of the angle formed by two consecutive radii is 30 degrees

Part b) 
we know that
OAC is an isosceles triangle
so
OA=OC
m</span>∠OAC=m∠OCA

<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°

the answer part b) is 
<span>the measure of the angle formed by a radius and a side is 75</span>°

You might be interested in
If a 50-inch flat-screen now costs $1200, what will it cost in three years?
Ainat [17]
Twelve hundred times three equals 3600 so in 3 years it will cost 3600
5 0
3 years ago
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If
Veseljchak [2.6K]

Answer: 112 people.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A girl makes 515 per hour as a math tutor. Her paycheck is calculated by multiplying $15 times the number of hours she worked. H
goldenfox [79]

Answer:     373.33 Hours

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(3x - 70)<br> The m TIMED QUIZ PLEASE HURRY
lesya [120]

Answer:

I think

Step-by-step explanation:

35

6 0
2 years ago
Read 2 more answers
this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question
Flauer [41]

Answer:

thanks for the points <3

6 0
2 years ago
Read 2 more answers
Other questions:
  • Please show me how to do #11.
    8·1 answer
  • Consider the set S={1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,23,24, .............. ,123456789}, which consists of all positive
    11·1 answer
  • The sum of two numbers is 61 . The larger number is 5 more than the smaller number. What are the numbers?
    11·1 answer
  • I have green ribbon that is 9 inches long and red ribbon that is one tenth the length of the green ribbon. What is the length of
    5·1 answer
  • What is the value of a 5 to 1 ratio
    7·1 answer
  • Write a mathmatical proof show (3x)(5y)7z is equivalant to 105xyz.
    10·1 answer
  • Need help on khan NOW! question is on picture. will report link and mark brainliest if right
    5·1 answer
  • The weight of a bass varies jointly as its girth and the square of its length (Girth is the distance around the body of the fish
    12·1 answer
  • Which expression is equivalent to 142 +35 - 2142
    9·1 answer
  • A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!