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gizmo_the_mogwai [7]
3 years ago
9

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

the rotation?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0
A regular octagon has 8 sides, so it would coincide exactly each time the vertices fall into the same places. In one full 360-degree rotation, any "selected" vertex would fall into all 7 other vertices one after the other, before going back to its original position. Therefore, there would be 8 times during the rotation that the octagon coincides with the preimage.
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Solve the system of equations. <br><br> y=x+5 <br><br> y=-x+7
spin [16.1K]

Answer:

(1,6)

x = 1, y = 6

See attachment for the graph

Step-by-step explanation:

y=x+5  

y=-x+7

Using the elimination process

     y=x+5  

-     y=-x+7

----------------

     0=2x-2

     2=2x

      1=x

      x=1

Substitute x = 1

y = x + 5

y = 1 + 5

y = 6

4 0
3 years ago
Read 2 more answers
Which point represents the outlier? OA. (2,3) O B. (4, 5) O C. (3, 13) OD (8,9)
Mrac [35]

Picture relating to the required graph is attached below

Answer:

C. (3, 13)

Step-by-step explanation:

According to the inspected scatterplot, we could actually observe a possible data trend which is where the majority of the samples are clustered. In a graphical representation of data, data points which deviates away from the trend of the majority of the points are considered as outliers. In the scenario above, the point (3, 13) seems too far off from the actual trend line, thus showing a greater y value than the pattern actually predicts.

5 0
3 years ago
What expression could fit with 7(x+2y+3z)
DiKsa [7]

Step-by-step explanation:

7x+ 14y+21z

hope this helps

5 0
3 years ago
A phone call costs $0.58 for the first 3 minutes and $0.15 for each additional minute. if the total charge for the call was $4.7
Marat540 [252]
The call was about 20 minutes

4 0
4 years ago
8/9x=8+4/9x thank you!
Elodia [21]
<span>x in (-oo:+oo)

(8/9)*x = (4/9)*x+8 // - (4/9)*x+8

(8/9)*x-((4/9)*x)-8 = 0

(8/9)*x+(-4/9)*x-8 = 0

4/9*x-8 = 0 // + 8

4/9*x = 8 // : 4/9

x = 8/4/9

x = 18

x = 18

</span>
8 0
3 years ago
Read 2 more answers
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