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3 years ago

Find measure angle 1

Mathematics

1 answer:

STatiana [176]3 years ago

5 0

Answer:

60°

Step-by-step explanation:

Opposite interior angles are equal.

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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

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

we have that

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

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

$x=120^o$

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

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

3 0

3 years ago

Plssss helppppp I need this for my homework

Studentka2010 [4]

Answer:

The correct answer is,

$2 \frac{15}{28}$

I'm 100000000% sure.

4 0

3 years ago

Read 2 more answers

I need help plz you leave you house at 1 p.m to go to a wedding. The ceremony starts at 5 p.m. and is 350 miles away. You drive

3241004551 [841]

You leave at 1 P.M., the wedding ceremony starts at 5 P.M.

This gives you a 4 hour gap, the Wedding is 350 miles away, and you're traveling at 65 miles an hour.

Simply you can use two methods, (65 * 4) to verify if you'd make it or not or (350/65) to ensure how many hours it would take in total.

65 * 4 = 260 | Since this is not 350, we can verify that you'd be late.
350/65 = 5.4 (estimated) | Meaning it'd take about 5.4 hours.

To know how long that is we'd have to convert over.

5.4 = 5 2/5ths, 60 minutes are in an hour. Divide 60 by 5 to get 12, meaning:
1/5ths = 12/60ths, with that said multiply that by 2 to get your answer.
2/5ths = 24/60ths or 24 minutes.

This means you'd take 5 hours and 24 minutes to get there.

Originally we stated that the process would take 4 hours. Subtract:

(5 hours and 24 minutes) - (4 hours) = (1 hour and 24 minutes)

Concluding that you'd be late by an hour and 24 minutes.

I hope this helps, have a great rest of your day! ^ ^
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4 0

3 years ago

Y=-5/8x+3/2 in standard form

Pani-rosa [81]

Answer:

y=0.625

Step-by-step explanation:

8 0

3 years ago

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After the expression is simplified as much as possible, x is raised to what exponent?

IrinaVladis [17]