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3 years ago

Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

2340 degrees.

Step-by-step explanation:

The sum of the interior angle measures of any polygon can be calculated using the following expression ( $n$ is the number of sides the polygon has):

$180(n-2)$

For a 15-sided polygon, plug in 15 for n and simplify:

$180(15-2)=180(13)$

Multiply to solve:

$180(13)=2340$

For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).

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2 years ago

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2 years ago

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ziro4ka [17]

Answer:

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Step-by-step explanation:

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2 years ago

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nikitadnepr [17]

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Given that,

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Therefore,

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<h3><u>Find upstream speed:</u></h3>

$speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55$

Thus upstream speed is 55 km per hour

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<h3><u>Find downstream speed:</u></h3>

$speed = \frac{510}{6}\\\\speed = 85$

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Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

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Add them

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u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

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v = 85 - 70

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