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
natima [27]
3 years ago
13

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

asure of the exterior angle and the length of a diagonal that passes through the center is
. What is the perimeter of the base of the birdhouse?
Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

x+y=180^o ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

x=2y ----> equation B

substitute equation B in equation A

2y+y=180

y=60^o

so

x=120^o

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

b=12/2=6\ units

The perimeter of the hexagon is given by the formula

P=6b

substitute

P=6(6)=36\ units

You might be interested in
I have 5 digits. My 9 is worth 9 ∗ 10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as mu
Natasha2012 [34]
The answer is 92,776 because 10 times as much as 70 is 700 which gives the answer for the hundreds position.
6 0
3 years ago
Use a commutative property to complete the statement 2x + 16
OLga [1]

Answer:

2(x+8)

Step-by-step explanation:

5 0
2 years ago
14) When f(x) = x + 3 is transformed to g(x) = f(x) -1, what will be the new
iren [92.7K]

Step-by-step explanation:

14) g(x)= x + 3 - 1

= x + 2

15) g(x)= x - 2 + 5

= x + 3

4 0
3 years ago
Read 2 more answers
Is (9,5) a solution to this system of inequalities?
iren2701 [21]

Answer:

yes it is..............

8 0
2 years ago
Help<br> Please due soon I would really appreciate it
RoseWind [281]
Should be D. Let me know if you need more of an explanation.
7 0
3 years ago
Other questions:
  • Pythagoras theorem line on a graph
    6·1 answer
  • 55 is the product of vidya's age and 5 <br> Use the variable v to represent vidya's age
    6·1 answer
  • Can anyone help with 3 or 4 please
    6·1 answer
  • Please solve really stuck much appreciated
    13·1 answer
  • Jane is the regional manager of Graphic DesignWorks. She earns an annual
    10·1 answer
  • What is the first term in this expansion? a 2x15 b 215x15 c 10y15 d 1015y15
    12·2 answers
  • Find 7.1 times the diffrence between 60 and 14
    6·1 answer
  • This year a partridge in a pear tree costs $210.18. in 2008, it cost $219.99. What is the change
    10·1 answer
  • Plz help need this done by tomorrow thank you [Photo]​
    13·2 answers
  • Plz look at the picture and line up the numbers and show your work on each equation! Thankyou!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!