All categories

3 years ago

If an interior angle of a regular polygon measures 144°, how many sides does the polygon have?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

It’s a polygonwith10sides

Exterior angle = 180 - Interior angle = 180 - 144 = 36

Total sum of the exterior angles of a polygon = 360

Therefore no. of sides N=36036=10

It’s a decagon.

Aliter :
A polygon with N sides will have the sum of the interior angles = (2N−4) right angles

∴144⋅N=(2N−4)⋅90

144N−180N=−360

36N=360

N=10

It’s a polygon with 10 sides.

i hope u understand :)

You might be interested in

Solve each equation below for x show all work and check your answer by substituting it back into the equation and verifying that

Viefleur [7K]

Answer:

The equations are

(a) x/3 = 6

(b) (5x + 9)/2 = 12

(d) 5/x = 20/8

The answers to the question are

(a) x = 18

(b) x = 3

(d) x = 2

Step-by-step explanation:

(a) x/3 = 6

Therefore x = 3×6 = 18

x =18

Substituting the value of x in the above equation, we have

18/6 = 3 verified

(b) (5x + 9)/2 = 12

Multiplying both sides by 2 gives

(5x + 9)/2 × 2 = 12×2 = 24

5x + 9 = 24 or x = (24-9)/5 = 3

Substituting the value of x in the above equation, we have

(5×3 + 9)/2 = 24/2 = 12 verified

x = 3

Multiplying both sides by 4, we have

x/4×4 = 9/6×4 = 6

x = 6

Substituting the value of x in the above equation, we have

(6/4 = 9/6 = 3/2 verified

(d) 5/x = 20/8

Inverting both equations, we have

x/5 = 8/20

Multiplying both sides by 20 we have x/5 × 20 = 8/20 × 20 or 4x = 8 and x = 2

Substituting the value of x in the original equation, we have

2/5 = 2/5 = 8/20 verified

x = 2

6 0

3 years ago

there are 20 children in a class,and each student has 12 pencils and 3 dozen erasers how many dozen erasers are there in all

Molodets [167]

Answer:

720

Step-by-step explanation:

Heck that's a lot of erasers!!!

36 (erasers per child) x 20 (the number of children) = 720 (number of erasers)

Chow,...!

5 0

3 years ago

Select the correct answer.

Molodets [167]

To answer this question you must know that there is a theorem called the "Two secants angle theorem", which establishes that the measure of an angle formed when two secants intersecting outside the circle is equal to 1/2 the difference of the two intercepted arcs.

Therefore, as you can see, the correct answer is the option B): B)1/2 the difference of the intercepted arcs

4 0

3 years ago

A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C

Colt1911 [192]

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total beneﬁt paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

3 0

3 years ago

////////////// 3x^2-4-x=0

Lelechka [254]

Answer:= -1

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers