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
a_sh-v [17]
3 years ago
12

The interior angle sum of a convex polygon is 1,980°.

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n°            = 1980° + 360°

                    = 2340

To find n, divide by 180 which is the coefficient of n

               n   = ²³⁴⁰/₁₈₀

                    = 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle  = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

                 ³⁶⁰/n

                = ³⁶⁰/₁₃

                = 27.69⁰

You might be interested in
1. The lease common multiple of 3, 4, 6, and 8 is<br> OA. 8.<br> OB. 24.<br> O C.72.<br> OD.96.
almond37 [142]
The answer is ob.24
3 0
3 years ago
Read 2 more answers
On the first day of the year, you have $700 in your bank account. You spend $35 per week. Your friend starts the year with $450
Alex_Xolod [135]

Answer is 5 weeks....

xoxo -Ella

7 0
3 years ago
the RATIO of floor seats to balcony seats in a theaters is 20:1. does this theater have more floor seats or more balcony seats?
GalinKa [24]
Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats.  So yes, there are more floor seats than balcony seats.
3 0
2 years ago
Melinda and Loren were building a snow fort. Melinda said that the fort was five feet high. Loren said that it was five inches h
Alexxx [7]

Answer:

5 ft melinda

Step-by-step explanation:

5 inches is like the length of your hand

5 0
2 years ago
Read 2 more answers
What is the slope?<br>if possible can you explain?​
Mandarinka [93]

Answer:

m =  \frac{4}{5}

Step-by-step explanation:

The slope of a graph is also known as its gradient, which is the steepness of the graph.

If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.

m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).

6 0
2 years ago
Other questions:
  • PLEASE HELP! SUPER EASY!!! Find the distance from point (2,6) to point (8,3) to the nearest tenth of a unit. ( using Pythagream
    13·1 answer
  • A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget
    8·1 answer
  • Eric needs 1/2 deck of playing cards for a magic trick. He only has 2/7 of a deck. What fraction of a deck does Eric still need?
    5·1 answer
  • At a bus station, buses begin their routes at 6 a.M. The schedule for two of the buses is based on the time intervals listed bel
    14·1 answer
  • Express the following fraction in simplest form using only positive exponents.
    5·1 answer
  • What is the answer please I need emergency help I will mark you as brainlist ✨
    10·1 answer
  • PLEASE HELP I'M IN A HURRY I'LL MARK SOMEONE THE BRAINLIEST
    14·2 answers
  • A cylindrical vase has height 17 in. and radius 3 in. Find the exact surface area of the vase in terms of π. Suppose a second va
    7·1 answer
  • An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently
    9·1 answer
  • A<br> LaDawn buys a ten-pack of gel pens for $7.50. How much did each pen<br> cost?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!