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
Mazyrski [523]
3 years ago
9

If the measure of one interior angle of a regular polygon is 156° , how many sides does it have?

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

<em>The polygon has 15 sides</em>

Step-by-step explanation:

<u>Angles in a Regular Polygon</u>

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that in a regular polygon, each angle measures

\displaystyle \frac{180(n-2)}{n}

The regular polygon's interior angle is 156°, thus

\displaystyle \frac{180(n-2)}{n}=156

Multiply by n:

180(n-2)=156n

Operate:

180n-360=156n

Reducing:

24n=360

Solving:

n=15

The polygon has 15 sides

You might be interested in
find the length of ab round to the nearest hundredth with 8 meters and 140 degrees white circle NO ARC LENGTH
KonstantinChe [14]

Answer:What is the Radius? Diameter?

Step-by-step explanation:

4 0
3 years ago
the wheel of a unicycle has a radius of 14 inches. About how many rotations will it take for the unicyle to tavel 440 inches
sdas [7]
31 rotations, hope i was a big help to you
4 0
3 years ago
Graph the line with slope 1 passing through the point (5,1).
vfiekz [6]

Answer:

y= x-4

Step-by-step explanation:

Since we have a point, and the slope, we can use the point slope formula

y-y_{1}=m(x-x_{1}  )

m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.

We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in

y-1=1(x-5)

Solve for y by isolating it

Distribute the 1

y-1=1*x+ 1*-5

y-1=x-5

Add 1 to both sides

y=x-4

7 0
3 years ago
Read 2 more answers
What is the greatest common factor of 8m, 36m", and 12?
wlad13 [49]

Answer: 4

Step-by-step explanation:

8m = 2*2*2*m

36m^3 = 2*2*3*3*m*m*m

12 = 2*2*3

GCF=2*2

Hope this helps!!

4 0
3 years ago
The sum of the square of a number and 34
Ne4ueva [31]
Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:

n^{2} +34

Hope that helped! =)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Casey shared a pizza with some friends. They each ate 1/3 of the pizza. How many people shared the pizza?
    9·2 answers
  • Elbert made 48% of the shots he took during the basketball game. If he attempted 25 shots, how many times did he score?
    5·1 answer
  • A package of dental floss contains 25 m of floss. How many yards of floss are in the package? If a dental hygienist uses about 1
    5·1 answer
  • Select a number that can complete the equation so that it has no solution. 6(x-7/6)=6x+__
    8·1 answer
  • A polar bear swims 390 meters at a constant rate in 150 seconds. What is the speed of the polar bear?
    12·2 answers
  • Solve for x . 955=5x
    13·1 answer
  • given the points(-4,8) and (6,-12) determine the mid point of line segment connecting the points determine the distance sepratin
    13·1 answer
  • Find the area of the composite shape below.
    6·1 answer
  • While Akira was visiting her sister in Weston, she bought a toy rocket that was marked down 50% from an original price of $40. I
    15·1 answer
  • The original price of a dress is 95.00. A discount of 10% is offered for cash payment. How much does one save by paying cash for
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!