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emmainna [20.7K]
2 years ago
12

A decagon with points labeled a through j clockwise. point a is the top left point. if this regular decagon is rotated countercl

ockwise by 3 times the smallest angle of rotation, which vertex will be in the top position?
Mathematics
2 answers:
NikAS [45]2 years ago
8 0

Answer:

E

Step-by-step explanation:

Correct on edg

serg [7]2 years ago
5 0

The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.

Which vertex will be in the top position of the regular decagon?

A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.

Now, the smallest angle of rotation will be the angle between the two sides of the decagon.

In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction,  point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)

Learn more about decagon here:

brainly.com/question/27314677

#SPJ4

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spayn [35]

Answer:

y=5/3x-2

Step-by-step explanation:

the equation for a line is y=mx+b, m is the slope the slope of this line is 5/3. B represents the y intercept, in this equation it is -2.

7 0
3 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 2.5 miles to km.
Digiron [165]

Answer:

4km

Step-by-step explanation:

In order to find the answer to this question you must simply divide.

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2.5m=4km

8\div2=4

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7 0
3 years ago
X + 2 = 2x +1<br>what's x​
LekaFEV [45]
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4 0
2 years ago
Read 2 more answers
If the measure of angle AXC =8x-7 and the measure of angle AXB=3x+10 what is the measure of angle AXC?
PSYCHO15rus [73]

Answer:

<AXC = 101 degrees.

Step-by-step explanation:

The question says that XB is a bisector which means that <AXB = 1/2 of AXC

You can't do the question if that assumption isn't true.

<AXC  = 8x - 7

<AXB = 3x + 10

3x + 10 = 1/2 ( 8x - 7)     Multiply both sides by 2

2(3x + 10) = 8x - 7         Remove the brackets

6x + 20 = 8x - 7             Add 7 to both sides

6x + 20 + 7 = 8x            Combine

6x + 27 = 8x                  Subtract 6x from both sides

27 = 8x - 6x                  Combine

27 = 2x                          Switch

2x = 27                          Divide by 2

x = 27/2

x = 13.5

AXC = 8x - 7

AXC = 8*13.5 - 7

AXC = 108 -7

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3 0
2 years ago
Simplify using the laws of exponents: x4 x6 =
aksik [14]
Hey there!
The law of multiplication of exponents is:
a^b * a^c = a^b+c
Therefore, we have:
x^4 * x^6= x^4+6 = x^10
Hope this helps!
8 0
3 years ago
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