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AysviL [449]
3 years ago
12

Through which angle of rotation does the image of a regular pentagon coincide with its preimage?

Mathematics
1 answer:
Svetach [21]3 years ago
4 0
Answer: 72° or any muliple of it: 72°, 144°, 216°, 288°, 360°, ...

It can be either clockwise or counterclockwise.


Explanation:


Thi is because a regular pentagon has 5 congruent sides.

Then you determine the angle of rotation by dividing 360° (a complete turn) by the number of sides (5)

360° / 5 = 72°.

Then every 72° the segments of the image will overlap those of the preimage.
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Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈
masya89 [10]
1225*(1.578*10^-5)=1.933*10^-2

1.578*10^-5= 0.00001578

1225*0.00001578=0.0193305

0.0193305=1.933*10^-2

5 0
2 years ago
If the point (5, k) lies on the line represented by the equation 2x + y = 9, the value of k is
Paladinen [302]

Answer:

<h2>k = -1</h2>

Step-by-step explanation:

We have the point (5, k) and the equation 2x + y = 9.

Put the coordinates of the point ot the equation:

x = 5, y = k

2(5) + k = 9

10 + k = 9         <em>subtract 10 from both sides</em>

10 - 10 + k = 9 - 10

k = -1

4 0
3 years ago
Please help it would be very appreciated!!
Leto [7]

Answer:

answer is 24.56cm

perimeter of half/semi circle =  \pi r + 2r

<em>one semi circle semi circles perimeter:  </em>\pi<em>*2+2*2 =10.283cm, </em>

<em>for two semi circles= 2*10.283 =20.566cm</em>

without the line below for two semi circle: 20.566-4-4=12.566 cm

both da side of rectangle is 6cm+6cm=12cm

now add the 12.566+12=24.56cm

7 0
2 years ago
Read 2 more answers
Use Cramers Rule to solve the system <br> 2x - 3y = 11<br> -6x + 8y = 34
Nastasia [14]

Step-by-step explanation:

given :

2x - 3y = 11

-6x + 8y = 34

find : the solutions of the system by using Cramers Rule.

solutions:

in the matrix 2x2 form =>

[ 2 -3] [x] [11]

=

[-6 8] [ y] [34]

D =

| 2 -3 |

|-6 8 |

= 8×2 - (-3) (-6)

= 16-18 = -2

Dx = | 11 -3 |

| 34 8 |

= 11×8 - (-3) (34)

= 88 + 102

= 190

Dy = | 2 11 |

|-6 34 |

= 2×34 - (-6) (11)

= 68 + 66

= 134

x = Dx/D = 190/-2 = -95

y = Dy/D = 134/-2 = -67

the solutions = {-95, -67}

8 0
2 years ago
Read 2 more answers
A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l
Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

7 0
3 years ago
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