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Inessa05 [86]
3 years ago
11

Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has

Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

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The transitive property holds true for similar figures.<br><br> Always<br> Sometimes<br> Never
liubo4ka [24]

Answer: Always.


Step-by-step explanation:

The transitive property holds true for similar figures always because similar figures have similar shapes, the same angles and dimensions are proportional.

For example:- If figure 1 is similar to figure 2 then both have same shape and same angles and dimensions are proportional .

If figure 2 is similar to figure 3 then both have same shape and same angles and dimensions are proportional .

⇒ figure 1 is similar to figure 3 the both have same shape and same angles and dimensions are proportional as the figure 2 .

Thus the transitive property holds true for similar figures always.

5 0
3 years ago
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your phone says that 14.5% is equivalent to the decimal 14.5 explain why your friend is incorrect by comparing the fraction -14.
Lelechka [254]
A percent is a proportion of something that can come from a variety of different numbers depending on what you are measuring. 14.5% is not the same as 14.5 because the 14.5% isn’t necessarily 14.5 of a certain amount. For example, $14.50 of the $100 you have could be from your grandparents; making 14.5% of your money from your grandparents but a deposit of $145 into a bank account that already has $855 would mean that 14.5% of the money in that bank account was from that deposit but $145 does not equal $14.50. They just have the same proportion just different on different scales.

Hope this is what you were looking for.
4 0
3 years ago
Can you help me please<br> -5 3/4 - 3 1/2=
viktelen [127]

Answer:

-9 1/4

Step-by-step explanation:

6 0
2 years ago
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A radio commercial for a loan company states: “You only pay $0.29 a day for
yuradex [85]
A loan of $1500 attracts a daily interest of 3(0.29) = $0.87
For 120 days you pay $0.87 x 120 = $104.40 interest.

I = PrT; where P is the principal, r is the annual interest rate and T is the time.
500 x r x 1/365 = 0.29
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7 0
3 years ago
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I have some cheese. I used
hram777 [196]
<h3>Answer:     2500 grams</h3>

============================================

Work Shown:

A = amount of grams of cheese you had originally

B = (2/5)*A = amount of cheese you use up after day 1

C = (3/5)*A = amount of cheese you have left over after day 1

note how B and C add back up to 'A'.

This is because 2/5+3/5 = 5/5 = 1, so,

B+C = (2/5)A+(3/5)A = (2/5+3/5)A = 1*A = A

--------------

D = (2/5)*C = amount of cheese you use up after day 2

E = (3/5)*C = amount of cheese left over after day 2

the variables D and E add up to C

we are told that there are 900 grams of cheese left after day 2, so E = 900

--------------

E = (3/5)*C

(3/5)*C = E

(3/5)*C = 900 ... Plug in E = 900

3C = 900*5 .... multiply both sides by 5

3C = 4500

C = 4500/3 .... divide both sides by 3

C = 1500

This means you had 1500 grams of cheese after day 1

-------------

C = (3/5)*A

(3/5)*A = C

(3/5)*A = 1500 ... plug in C = 1500

3A = 1500*5 ... multiply both sides by 5

3A = 7500

A = 7500/3 .... divide both sides by 3

A = 2500

-----------

<h3>You started off with 2500 grams of cheese.</h3>

After day 1, you use up (2/5)*2500 = 1000 grams of cheese and have 2500-1000 = 1500 grams left over.

After day 2, you use up (2/5)*1500 = 600 grams of cheese and have 1500-600 = 900 grams left over.

The answer is confirmed.

6 0
3 years ago
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