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Lerok [7]
2 years ago
5

A polygon has 15 sides.

Mathematics
1 answer:
Olegator [25]2 years ago
3 0

Answer:

  • The sum of the eight interior angles not adjacent to these exterior angles is 1280°.

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

<h2>Given </h2>

  • A 15-sided polygon with sum of 7 exterior angles 200°.

<h2>To find </h2>

  • The sum of the 8 interior angles, remote to known 7 angles.

<h2>Solution</h2>

<u>We know that:</u>

  • sum of all exterior angles of a polygon is 360°.
  • sum of each interior and exterior angle pair is 180°.

So the sum of the 8 exterior angles is:

  • 360° - 200° = 160°

Sum of both interior and exterior angles of 8 angles:

  • 180°×8 = 1440°

Sum of those 8 interior angles is:

  • 1440° - 160° = 1280°
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Answer:

1. 6

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3. 9

4. 6

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Step-by-step explanation:

The answers are in the order listed on your assignment page.

Hope this helps :)

8 0
3 years ago
The measure of an angle is 28 degrees greater than its complement find the measure of each angle
julia-pushkina [17]

small angle =x

x+(x+28)=90

2x=62

x=31   

90-31= 59

Angles measure     31 and 59

31+59=90

59-31=28

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3 years ago
Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered
dolphi86 [110]
$11.00+$14.00=$25.00

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5 0
4 years ago
What is the numb bur 731,934,000 in standard form
vesna_86 [32]
That number is already in standard form.

If you need to write it in scientific notation, then do this.

<span>731,934,000

Look at all the digits that are not zero, and place the decimal point in a way that you have a number from 1 to less than 10.

Take 731934, and place the decimal point after the 7 giving 7.31934.

The original decimal point was after the third zero, so now using the original number, count the number of decimal places you moved the decimal point. The decimal point moved 8 places to the left. That means you need an exponent of 8.

731,934,000 = 7.31934 \times 10^8
</span>
8 0
4 years ago
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th
lawyer [7]

Answer:

a) y=\sqrt{3}\ (x) is the equation of the curve that makes an angle π/3.

b) x=3 is the equation of line through the point (4,4).

Step-by-step explanation:

Given:

A line from origin which makes an angle of \frac{\pi }{3} with x-axis.

A vertical line from (4,4) .

We have to write the equation of the curves in Polar or Cartesian format.

Step wise:

a) A line from origin which makes an angle of \frac{\pi }{3} with x-axis.

To write the equation of the above line in Polar coordinates is more desirable as the angles could be defined well in polar form.

So,

⇒ y=mx ...equation (i)

⇒ m=\frac{y}{x}...here m is the slope

The slope in terms of \theta (angle) can be written as,

⇒ tan(\theta)=\frac{y}{x}

Plugging the values of the angle,\theta =\frac{\pi }{3} .

⇒ tan(\theta) =\frac{\pi}{3} = \sqrt{3} ...equation (ii)

Now re-arranging the equation (i) we can write it as,

⇒  y=\sqrt{3}\ (x)

b) A vertical line from (4,4) .

<em>Note:</em>

<em>The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .</em>

To write the above point in Cartesian coordinate is more acceptable and easy for us.

⇒ x=4

Then,

y = sq-rt(3) x is the equation of the curve that makes an angle π/3.

and x = 3 is the equation of line through the point (4,4).

3 0
4 years ago
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