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Nostrana [21]
2 years ago
14

The figure below is a regular polygon what is the sum of exterior angles?

Mathematics
1 answer:
Drupady [299]2 years ago
3 0

Answer:

1260 degrees

Step-by-step explanation:

the degree of one interior angle is 108 degrees, therefore the exterior angle is 252 degrees. there are 5 interior angles, so there are 5 exterior angles. 252*5=1260 degrees

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Find the VOLUME of the triangular prism.
madam [21]

The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We have a triangular prism shown in the picture with dimensions.

As we know, the volume of the triangular prism is given by:

V = bhl/2

h = √[2²- (2/2)²]

h = √(4-1)

h = √3 units

V = (2×√3×5)/2

V = 5√3 cubic units

Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

Learn more about the volume here:

brainly.com/question/16788902

#SPJ1

5 0
2 years ago
If m&lt;ECD is six less than five times m&lt;BCE. and m&lt;BCD = 162°, find each measure.(Sorry bout using the wrong signs, but
tia_tia [17]

Answer:

m∠BCE = 28° and m∠ECD = 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD

- m∠ECD is six less than five times m∠BCE

- That means when we multiply measure of angle BCE by five and

 then subtract six from this product the answer will be the measure

 of angle ECD

∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)

∵ m∠BCD = m∠BCE + m∠ECD

∵ m∠BCD = 162°

∴ m∠BCE + m∠ECD = 162 ⇒ (2)

- Substitute equation (1) in equation (2) to replace angle ECD by

  angle BCE

∴ m∠BCE + (5 m∠BCE - 6) = 162

- Add the like terms

∴ 6 m∠BCE - 6 = 162

- Add 6 to both sides

∴ 6 m∠BCE = 168

- Divide both sides by 6

∴ m∠BCE = 28°

- Substitute the measure of angle BCE in equation (1) to find the

  measure of angle ECD

∵ m∠ECD = 5 m∠BCE - 6

∵ m∠BCE = 28°

∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°

* m∠BCE = 28° and m∠ECD = 134°

3 0
3 years ago
Read 2 more answers
Identify 3 major arcs of circle that contain point A?
natita [175]

Answer:

Minor Arcs (two capital letters) Arcs that have a degree measure of less than 180 degrees.

Major Arc (three capital letters) Arcs that have a degree measure greater than 180 degrees.

Semi Circle (three capital letters) Arcs that have a degree measure equal to 180 degrees.Step-by-step explanation:

3 0
2 years ago
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RideAnS [48]

Answer:

number 58 es...

f(x)= 5/2x

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6 0
2 years ago
1/2 - 3 1/4<br> 1/2 - 4/5<br> 1/6 + -3 3/4
Olenka [21]

Answer:

1/2 - 3 1\4= -11/4

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1\6 + -3 3\4= 43\12

3 0
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