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Furkat [3]
4 years ago
15

19. What is the sum of the measures of the exterior angles in a nonagon? Explain.

Mathematics
1 answer:
Effectus [21]4 years ago
4 0
Answer: 360°.

Explanation.

The sum of the measures of the exterior angles of any simple polygon is 360°. That is true for triangles, rectangles, pentagons, hexagons, a so on, any polygon including, of course, the nonagon.

You can verify this if you draw the nonagon with its 9 exterior angles. You can realize that you may translate every angle to one common vertex and that the sum of all angles is equal to a complete turn around the vertex. Of course, you know that a complete turn is an agle of 360°.
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2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
Setler [38]

answer: 9

Step-by-step explanation:

x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9

5 0
3 years ago
3x+4y=24. What is the smallest integer solution for x+y?
galben [10]
<span>lets solve for x, and then we'll find an integer solution:
3x + 4y = 24
3x = 24 - 4y
</span><span>x = (24 - 4y)/3
</span>so the right side has to be an integer, or 24 - 4y has to be a multiple of 3:
<span>24 - 4y
</span>then, y has to be 3, see:
<span>x = (24 - 4y)/3
</span><span>x = (24 - 4(3))/3
</span><span>x = (24 - 12)/3
</span><span>x = (12)/3
</span>x = 4
then, we have x = 4 and y = 3
6 0
3 years ago
Read 2 more answers
What is the mode of the following number sequence:<br> 1,2,3,4,5,6,7,8,9
andrew-mc [135]

Answer:

The answer is None there is no mode for the question.

Step-by-step explanation:

We know this because a mode is the number that occurs the most and because all the numbers occur the same amount there is no mode.

3 0
3 years ago
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Make x the subject. <br>1) а — x =y<br>2) m = k – x <br>3) k - t2x = m​
yanalaym [24]

Answer:

#1

{ \tt{a - x = y}} \\  \\ { \boxed{ \tt{x = a - y}}}

#2

{ \tt{m = k - x}} \\  \\ { \boxed{ \tt{x = k - m}}}

#3

{ \tt{k -  {t}^{2}x = m }} \\ { \tt{ {t}^{2} x = k - m}} \\  \\ { \boxed{ \tt{x =  \frac{k - m}{ {t}^{2} } }}}

4 0
2 years ago
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If two lines intersect and one angle measures 35º, what are the measures of the other angles?
goblinko [34]
One of the other angles will also be 35°.

Because the sum of all the angles will equal to 360, and two of the angles are 35° and 35+35 is 100, the sum of the last two angles will be 260 because 360-100 is 260.

This means that since the last 2 angles are the same and they add up to 260, you divide 260 by 2 to get 130.

This means the last two angles are 130°.

The measures of all the other angles are 35°, 130° and 130° again.
7 0
3 years ago
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