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Phoenix [80]
2 years ago
7

In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon​

Mathematics
1 answer:
pochemuha2 years ago
6 0

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

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stich3 [128]

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232 miles/ 23.2 miles per gallon = 10 gallons

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3 years ago
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Select the simplification that accurately explains the following statement.
Mariana [72]

<u>Answer</u>

D


<u>Explanation</u>

9⁽¹/²⁾² =  (9⁽¹/²⁾)²

        = 9¹/² × 9¹/²           (Since the base are the same, we can add the power.)

         = 9⁽¹/² ⁺¹/²⁾

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The correct simplification is D.

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3 years ago
Solve for x. Round to the nearest tenth if necessary.
Natasha2012 [34]

Answer:

x = 16

Step-by-step explanation:

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3 years ago
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A used car is priced at $2,695. If you borrow the money for the car, your payments will be $122 a month for 30 months. How much
Studentka2010 [4]

Answer: $965

Step-by-step explanation:

The used car is priced at $2,695.

If you borrow the money for the car, your payments will be $122 a month for 30 months. This means that the total amount of money that you would have paid at the end of 30 months at a rate of $122 per month is the amount paid per month multiplied by the total number of months. It becomes

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This means that you ended up paying higher than you would have paid if you paid cash.

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7 0
3 years ago
The common ratio in a geometric series is 0.50.50, point, 5 and the first term is 256256256.
V125BC [204]

Answer:

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Step-by-step explanation:

I think the correct question is like:The common ratio in a geometric series is 0.50 ( point 5) and the first term is 256.  

Find the sum of the first 6 terms in the series.

If it's right, then

Sₙ = (a₁ * (1 - rⁿ)) / (1 - r)

S₆ = (256 * ( 1 - 0.5⁶)) / (1 - 0.5) = (256 * 0.984375) / 0.5 = 504

6 0
2 years ago
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