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
Novosadov [1.4K]
2 years ago
14

What is the sum of the measures of interior angles ofna regular polygon if each exterior angle measures 72°?

Mathematics
1 answer:
WARRIOR [948]2 years ago
5 0
We know that

The exterior angle measures of a polygon must add up to 360°, 

therefore

 360°/72°=5 exterior angles

so

5 exterior angles, would mean 5 interior angles and therefore  5 sides to the polygon

The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.

exterior angle+interior angle=180°

interior angle=180°-exterior angle

interior angle=180°−72°-------> 108°
Each interior angle is 108°

The sum of the interior angles would be 

5*108°=540°

the answer is

540°

You might be interested in
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
IrinaK [193]

Answer:

A) y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

7 = 4(2) + b

7 = 8 + b

-1 = b

y = 4x - 1

8 0
2 years ago
When will the equation p(b)=520(0.88)^b have a value less than 100?
yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

         or, 0.88^{b} < \frac{1}{5.2}

         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

         or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

3 0
3 years ago
A restaurant owner mixed the juices of 7 lemons with every 3 oranges to make a special drink
alexandr1967 [171]
I think it’s 21:9 I don’t know but I think that would be the answer
3 0
2 years ago
10 x 7 = 70
beks73 [17]
The answer is D it shrinks to 35
7 0
2 years ago
Read 2 more answers
In the expression 2a + 5 + a -14 + 3b which ones are the constants​
Finger [1]

Answer:

5

Step-by-step explanation:

Constant= # without variable

5 0
2 years ago
Read 2 more answers
Other questions:
  • Why is pi measured as 3.14?
    9·2 answers
  • HURRRRRRYYYYYYY 1 QUESTION EXPERTS/ACE HELP QUICK!!!!!
    8·1 answer
  • Calculate the area of the circle with radius of 4.5 leave Answer in terms of pi
    10·1 answer
  • Help me solve those show work 3(2a-5)=12-7a, 27=3c-3(6-2c)and 6c-8-2c=-16
    15·1 answer
  • The probability of winning the shell games if you
    8·1 answer
  • Evaluate the expression for x = –3. x^2+4x+3
    5·1 answer
  • f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep
    6·1 answer
  • What go in the empty spots
    15·1 answer
  • HELP I NEED HELP ASAP
    8·1 answer
  • Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!