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
sesenic [268]
3 years ago
11

If the sum of the measures of interior angles of a regular convex polygon is 1620° how many sides does a polygon have find the m

easure of one interior angle and one exterior angle
Mathematics
2 answers:
Keith_Richards [23]3 years ago
7 0

Answer:

  • the polygon has 11 sides
  • one interior angle measures 147 3/11 degrees
  • one exterior angle measures 32 8/11 degrees

Step-by-step explanation:

The relation between the number of sides (n) and the total degree measure of interior angles is ...

  angle total = 180° × (n -2)

We can find n by filling in the given total and solving:

  1620 = 180(n -2)

  1620/180 = 9 = n -2

  9 + 2 = 11 = n

The number of sides is 11.

The measure of one interior angle is 1620°/11 = 147 3/11 degrees.

The measure of one exterior angle is 360°/11 = 32 8/11 degrees.

Mila [183]3 years ago
3 0

Answer:

Step-by-step explanation:

(n-2)180=1620

n-2=1620/180=9

n=9+2=11

You might be interested in
Answer to this please
xenn [34]

Answer:

(150 \times 75 - 75 \times 75 \times 3.14 \times 0.5) \times 0.5 = (11250 - 8831.25) \times 0.5 = 1209.375

5 0
2 years ago
EXTRA POINTS :) what is the value of x??
vlada-n [284]

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

8 0
2 years ago
Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
Annette [7]

Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

6 0
2 years ago
Read 2 more answers
Clifford is making a really big white cake for his sister birthday the recipe calls for 1.5 times as much flour sugar it also ca
lana66690 [7]
Clifford is making a really big white cake for his sister birthday the recipe calls for 1.5 times as much flour sugar it also calls for one half as much better as sugar almond butter flour and sugar together total 7.5 cut how much butter sugar and flour Def Leppard it mean right and solve any Quetion remember today find your variable and to see your answer in the Fenton
4 0
3 years ago
Read 2 more answers
All of the following are terminating decimals except
aalyn [17]
__
4/9= 0.444 ==> never ending, repeating
1/5= 0.2 =====> terminating
19/50= 0.38 => terminating
5/8= 0.625 ==> terminating

All of the above are terminating decimals except for 4/9!!

Memes (for stupidity) :
Everyone is entitled to be stupid,
But you abuse the privilege

You find it offensive,
I find it funny...

That's why I'm happier than you!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 5 StartRoot 2 EndRoot and the lengths of
    13·2 answers
  • Solve the equation -x/3=8 using the two step equation formula
    12·1 answer
  • A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between whi
    14·2 answers
  • ( − + 5 + 3)2; simplify.
    7·1 answer
  • 34(8x – 6) – 2 = 12 – x
    12·1 answer
  • What is the equation of the line?
    13·1 answer
  • Write a two-column proof
    6·1 answer
  • Write the equation in slope-intercept form through the point (-5, 3) and is perpendicular to the line y = 2x - 3 and graph​
    8·1 answer
  • If a watch cost 40 dollars and you must pay 6.5 sales tax how much will tax be
    15·2 answers
  • 1.35 divided by 3.8 repeating
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!