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
Travka [436]
3 years ago
6

Given a regular decagon, find the measures of the angles formed by (

Mathematics
1 answer:
Sonja [21]3 years ago
3 0
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.

The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.

Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.

Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.




You might be interested in
Which biconditional is NOT a good definition?
Lady_Fox [76]
The answer is D because and obtuse angle is 91 degrees or more
8 0
2 years ago
Read 2 more answers
Which Figure has a line sysmmetry F,H,J,L,R
Makovka662 [10]

Answer:

njnjfsdnjfe

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Topic Test
lara [203]

Answer:

B. P'(-1, 0) and Q'(1, 6)

Step-by-step explanation:

Please select the best answer from the choices provided

5 0
2 years ago
Read 2 more answers
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
Elenna [48]

Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

7 0
3 years ago
CAN SOMEONE PLZ HELP ME
yaroslaw [1]

Answer:

The expression for the total cost of the visit to dentist is T = 50 + 100n .

Step-by-step explanation:

As given

The price of a visit to the dentist is $50.

If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.

If the dentist n cavities .

Let us assume that the total cost of the visit to dentist be T.

Than the expression becomes

T = 50 + 100n

Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .

3 0
2 years ago
Other questions:
  • 5 times the sum of p and r
    14·2 answers
  • The larger of two numbers is 2 more than 4 times the other. Their sum is 33. Find the two numbers. How do I answer this?
    9·1 answer
  • The temperature of a chemical compound, in degrees Celsius, changes when the compound is exposed to UV light. The table below sh
    10·2 answers
  • If g(x)= x squared- x find the value of g(3b)
    13·1 answer
  • Suppose the diameter of a circle is 6 units.what is its circumference?
    13·1 answer
  • What is the perimeter of the rectangle?
    7·2 answers
  • 1. What is common in the four
    9·1 answer
  • Please help:<br> Find the class width of this graph
    5·1 answer
  • On Tuesday, Leslie spent 47 minutes on math homework, 39 minutes on science homework, 52 minutes on English homework, and 44 min
    12·2 answers
  • E
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!