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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

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Gnom [1K]

Answer:

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range: y ≤ 64

Step-by-step explanation:

since the domain is arn,

and range is the coordinates

coordniate (top or bottom-most point)

downward facing so the top

(2, 64)

since it is downward facing we use ≤ instead of ≥

y value is 64 (just as x is 2)

your answer is y ≤ 64

hope this helps:)

3 0
2 years ago
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sleet_krkn [62]
Its same i think

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8 0
2 years ago
I am once having trouble solving an equation. 6x2 - 2x = 19
brilliants [131]

Answer:

X=1 9/10

Step-by-step explanation:

6X multiply 2 - 2X=19

Calculate the product

12X-2X=19

Collect the like terms

10X=19

Divide both sides of the equation by 10

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Simplify the improper fraction

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7 0
3 years ago
What is 26% of 160?<br> A. 4.16<br> B. 6.15<br> C. 41.6<br> D. 61.5
Vinvika [58]

Answer:

41.6

Step-by-step explanation:

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4 0
3 years ago
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ludmilkaskok [199]

Answer:

Value : c = ad - b

Step-by-step explanation:

Given the equation:  Solve for c;

Multiply both sides by d in we get;

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3 years ago
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