answer.
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
RUDIKE [14]
2 years ago
5

which of the following best describes the use of the formula S=(n-2)180 where n is the number of sides

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
8 0
Okay, so we know the sum of the interior angles of a triangle is 180 degrees. (Consider triangle ABC with a line parallel to the base (AB) and touching angle C, then AC or BC are transversals and angles A+B+C = 180. We see this because alternate interior angles are equal to a transversal and angle A+B+C do a complete rotation from one side of the straight line to the other or 180 degrees.

Now consider the pentagon ABCDE, 

Start with vertex A and connect it to all other vertices (it is already connected to B and E by the sides of the pentagon). Three triangles are formed. The sum of the angles in each triangle contains 180 degrees. The total number of degrees in all three triangles will be 3 times 180 or 540 degrees.
Note that the Pentagon has 5 sides and 3 triangles were formed by connecting the vertices. The number of triangles formed by connecting the vertices of a polygon will always be 2 less than the number of sides, n. Therefore we have,
<span>sum of interior angles of a polygon is (n-2)*180 where n is the number of sides.
</span>

Have a nice day, I hope it heps :D
You might be interested in
m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
ratelena [41]

I just did this question!

Answers:

1) <em>same side interior angles</em>

2) (3x+4)+(2x+11) = 180

3) 77


7 0
2 years ago
Read 2 more answers
Suppose a marketing company computed a 94% confidence interval for the true proportion of customers who click on ads on their sm
Ksivusya [100]

Answer:

d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

Step-by-step explanation:

Confidence interval:

x% confidence

Of a sample

Between a and b.

Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.

In this question:

I suppose(due to the options) there was a small typing mistake, and we have a 98% confidence interval between 0.56 and 0.62.

Interpreation: We are 98% sure, or there is a 98% chance, that the true population proportion of customers who click on ads on their smartphones is between 0.56 and 0.62. Option d.

3 0
2 years ago
What additional information would prove that LMNP is a rectangle? The length of LM is and the length of MN is . The slope of LP
kumpel [21]

Answer:

The correct answer is diagonals are equal and bisect each other.

Step-by-step explanation:

A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.

7 0
2 years ago
Read 2 more answers
A greengrocer sells melons at a profit of 37.5% on price he pays for it.What is the ratio of cost price to selling price
gavmur [86]
S-selling price
c-cost price
p-profit
p=37,5%
\frac{s-c}{s}*100%=37,5%  /:100%
\frac{s-c}{s}=0,375   /*s
s-c=0,375*s  /-s
0-c=-0,625*s /:(-s)
\frac{c}{s}=0,625



5 0
2 years ago
Which table contains only corresponding x-values and y-values where the value of y is one more than the product of x and 2?
Dmitry [639]

Answer:

Option (C)

Step-by-step explanation:

Value of y is more than the product of x and 2.

Equation representing the given condition will be,

y = 2x + 1

Therefore, by substituting the values of x in the equation we can get the table for the input - output values for the equation,

x        0       1         2        3        4

y         1        3        5        7        9

Therefore, table given in the Option (C) will be the correct option.

4 0
2 years ago
Other questions:
  • Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
    10·2 answers
  • Hector is competing in a 42 mile bicycle race. He has already completed 18 miles of the race and is traveling at a constant spee
    10·1 answer
  • Rob is a geologist. He is surveying a conical crater that was created by a meteor impact. From one end to another, the crater fo
    6·1 answer
  • A school baseball team raised $810 for new uniforms. Each player on the team sold one book of tickets. There were 10 tickets and
    6·1 answer
  • Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t
    15·1 answer
  • Tom is in Ms. Zhu’s class. To choose 4 students from her class of 24 students to answer questions. Ms. Zhu’s will put 24 cards,
    11·2 answers
  • Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?
    15·2 answers
  • A division problem is shown below. 4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction The reciprocal of a fract
    6·2 answers
  • A number is chosen at random from the set of consecutive natural numbers $\{1, 2, 3, \ldots, 24\}$. What is the probability that
    9·1 answer
  • In ΔKLM, k = 890 inches, ∠M=143° and ∠K=34°. Find the length of m, to the nearest 10th of an inch.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!