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salantis [7]
3 years ago
10

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

Step-by-step explanation:

The sum of the measures of interior angles of a polygon with n sides is given by:-

(n-2)\times180^{\circ}

Given: The sum of the measures of the interior angles of a polygon is 1920°.

i.e. (n-2)\times180^{\circ}=1920^{\circ}

n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67

But number of sides cannot be in decimal.

Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

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1) value of x =60

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Step-by-step explanation:

We need to use cross products to solve the proportions of x.

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\frac{3}{5}= \frac{x}{100}\\Cross\,\,multiply\,\,:\\5x=3*100\\5x=300\\x=\frac{300}{5}\\x=60

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So, value of x = 3

Keywords: Ratio and Proportions

Learn more about Ratio and Proportions at:

  • brainly.com/question/8280736
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3 years ago
Math help (radical expressions) ???
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a rhombus has an area of 60 square centimeters. if the length of one diagonal is 12 cm, find the length of the other
AlekseyPX

Answer:

10 cm

Step-by-step explanation:

The area (A) of a rhombus is calculated as

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Here A = 60, d₁ = 12, thus

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3 years ago
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So x equals 30 because u did 180-150 and y is also 30 since you found x you then add 90 plus 30 and it will give u 120 then 180 minus 120 will be 60 then 90 - 60 because u are trying to find y, and u will get 30.
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