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
Serga [27]
3 years ago
15

Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.

Mathematics
1 answer:
alexira [117]3 years ago
5 0
The sum of the external angles of a polygon is always 360°

To find the measure of one angle, the formula is 360/n where n is the number of the sides of the polygon.

360/6 = 60°

The sum of all internal angles of a polygon can be find with the formula (n-2)*180° where n is the number of the sides. In this case 180(6-2) = 180*4 = 720°

To find one internal angle, follow this formula [180(n-2)] / n = [720/6] = 120°

Anyway, you can pick a vertex and from that vertex start to draw diagonals.

There will be some triangles, the sum of all internal angles of a triangle is 180°. In a polygon, the sum of all internal angles equals to the sum of all internal angles of all the triangles.

Hope I'm clear.
You might be interested in
Jean and Jericho who are playing in the school grounds decided to sit on a
Natalija [7]

We want to see underline the correct part in each statement.

  • 1) This situation illustrates (direct, <u>inverse</u>) variation.
  • 2) The two quantities that must vary in this situation are (<u>weight and </u>
  • <u>distance from the cente</u><u>r</u>, height and weight).
  • 3) The heavier the kid, the (<u>closer</u>, farther) he/she should be at the
  • center to balance the seesaw?
  • 4) When Jean moves farther from the center, Jericho tends to go (up,
  • <u>down</u>).
  • 5) If Jericho moves closer to the center, Jean tends to go (up, <u>down</u>).

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

  • W₁ = Jean's weight.
  • d₁ = Jean's distance to the center.
  • W₂ = Jericho's weight.
  • d₂ = Jericho's distance to the center.

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, <u>inverse</u>) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (<u>weight and </u>

<u>distance from the center</u>, height and weight).

(by the equation above)

3) The heavier the kid, the (<u>closer</u>, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

<u>down</u>).

5) If Jericho moves closer to the center, Jean tends to go (up, <u>down</u>).

If you want to learn more, you can read:

brainly.com/question/18320907

7 0
2 years ago
John has $80. Every week, he spends $7.Create an equation that represents How much money, m, in dollars, will he have after the
Ksivusya [100]

Answer:

Something like M=80-(7x4)

Step-by-step explanation:

7 0
3 years ago
I need help with this please
Kazeer [188]

Answer:

score = 63

Step-by-step explanation:

1.  To write the proportion take the score of the test over the number of points and set it equal to the percent over 100

score         90

----------- = -----------

70               100

Using cross products

100 * score = 90*70

100 score = 6300

Divide by 100

100/100 * score = 6300/100

score = 63

8 0
3 years ago
The sum of two numbers a and b is equal to c. The number line below shows the values of a and c. Shat is the value of b?​
Volgvan

Answer:

HIS SGSEIJGR

Step-by-step explanation:

3 0
2 years ago
Solve this system of equations using elimination. <br> X-6=-17<br> -2x+12y=7
AfilCa [17]

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(−11,−5/4)

Equation Form:

x=−11,y=−5/4

8 0
2 years ago
Other questions:
  • Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution,
    7·1 answer
  • a study shows that 70 out of 200 college students read the newspaper. Marysville college has 12600 students. based on the study
    13·2 answers
  • Steve likes to snowboard. It takes him 120 minutes to climb to the top of the mountain, 5 minutes to get ready to go, and 10 min
    7·2 answers
  • Heidi grew her hair out for many years. Her hair was 12/10 of a meter long. She donated her hair by cutting off 5/6 of a meter.
    5·1 answer
  • A bag of trail mix weights 2 ib. By weights, 18% of the trail mix is oats.
    11·2 answers
  • Find the interest earned on the account<br><br>$970 at 4 1/4% simple interest for 2 years​
    7·1 answer
  • Find the Missing length indicated
    12·1 answer
  • Which is the graph of −2x+y+4&lt;9?<br><br>HELP PLEASE!
    8·1 answer
  • A 30°- 60°-90° triangle has a hypotenuse of 14. How long<br> is the side opposite.
    15·1 answer
  • John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!