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Vinil7 [7]
3 years ago
15

Pls help. pls show work as well thank you:)

Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

Step-by-step explanation done

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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
mel-nik [20]

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

3 0
3 years ago
There is a 10% sales tax on a purchase of $13.50 how much is the tax
raketka [301]

Answer:

1.35

Step-by-step explanation:

13.5/100 times 10 = 1.35

8 0
3 years ago
Read 2 more answers
How can you order a ladder
NikAS [45]
An adult can go online and search for the kind of ladder needed.  Then they can choose the store they prefer.  After that, they would decide what payment method to use.  Shipping information would be entered, or they would go pick it up.  
3 0
3 years ago
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Are the two lines parallel, perpendicular, coinciding lines, or neither?
Elena L [17]

Answer:

D

Step-by-step explanation:

crosses at a 90 degree angle

6 0
3 years ago
The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge o
taurus [48]

Answer: 3.9 ft

Step-by-step explanation:

From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:

= 2.5 / 2

= 1.25 ft

Then, we calculate the circumference of the circle which will be:

= 2πr

= 2 × 3.14 × 1.25

= 7.85 ft

Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:

= 7.85/2

= 3.9 feet

8 0
3 years ago
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