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
sukhopar [10]
3 years ago
11

What is the measure if each interior angle of a 15-gon

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Step-by-step explanation:

As we know that

In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,

The number of triangles thus formed would always  2  LESS than the number of sides.

As

  • The sum of measure of the angles of any triangle is 180°.

Thus,

The sum of the interior angles of the 15-gon will be:

13\:\times\:180\:=\:2340^0

Also

15-gon is regular, it means this total 2340^0 is shared in equal proportion among the 15 interior angles.

And

Each interior angle of the regular polygon will be:  \frac{2340^{0} }{15}=156^{0}

Therefore, we conclude that:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Keywords: regular polygon, 15-gon, triangle

Learn more about polygon from brainly.com/question/11932357

#learnwithBrainly

You might be interested in
This is for anyone who has ever been cheated on before...
Evgen [1.6K]

Answer:

thank you

Step-by-step explanation:

4 0
3 years ago
Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

7 0
2 years ago
Solve for x. <br><br> a²x+(a-8)=(a+8)x
Sergio [31]
a^2x+(a-8)=(a+8)x\\\\(a+8)x=a^2x+(a-8)\ \ \ \ |subtract\ a^2x\ from\ both\ sides\\\\(a+8)x-a^2x=a-8\\\\(a+8-a^2)x=a-8\ \ \ \ |divide\ both\ sides\ by\ (a+8-a^2)\\\\\huge\boxed{x=\frac{a-8}{a+8-a^2}}\to\huge\boxed{x=\frac{8-x}{a^2-a-8}}
6 0
2 years ago
Read 2 more answers
V=1/3 pie r squared h
kvasek [131]
This is volume of a sphere.
7 0
3 years ago
Need help with solving both of these questions for geometry homework.
faltersainse [42]

Answer:

m<R = m<T = 80.5 deg

Step-by-step explanation:

3)

Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.

m<WXZ = 8x - 19 = 45

8x - 19 = 45

8x = 64

x = 8

4)

Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.

The sum of the measures of the interior angles of a convex, n-sided polygon is

180(n  2).

A kite is a quadrilateral, so n = 4.

180(4 - 2) = 180(2) = 360

The sum of the measures of the interior angles of a kite is 360 deg.

m<Q + m<R + m<S + m<T = 360

75 + m<R + 124 + m<T = 360

m<R + m<T + 199 = 360

m<R + m<T = 161

m<R = m<T, so we substitute m<T with m<R.

m<R + m<R = 161

2m<R = 161

m<R = 80.5

m<R = m<T = 80.5 deg

8 0
3 years ago
Other questions:
  • I cant remember how to do this
    7·1 answer
  • 15 POINTS!!
    11·2 answers
  • Please help and give the reasons. <br> Given: 4(x - 8) = 2x + 12<br> Prove: x = 22
    14·1 answer
  • What is the missing number in the synthetic division problem below?
    14·1 answer
  • 25= a/5 what is that?
    8·2 answers
  • Find the missing side. Round your answer to the nearest tenth.
    7·1 answer
  • Vindows. Find the total surface area<br> 4 ft<br> 5 ft<br> 5 ft<br> 4 ft<br> 7 ft<br> oft -
    6·1 answer
  • Please help me i will give u free pts if u answer it correctly​
    15·2 answers
  • I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • Find the sum. 2/5(d-10)-2/3(d+6)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!