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AysviL [449]
4 years ago
12

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

Mathematics
1 answer:
Svetach [21]4 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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For the function F defined by F(x)=x^2-2x+4 find F(2b-1).
Leni [432]

Answer:

F(2b-1) = 4b² - 6b + 4

Step-by-step explanation:

Replace all the x with 2b-1

F(x) = x² - 2x + 4

F(2b-1) = (2b-1)² - 2(b) + 4

= 4b² - 4b + 1 - 2b + 4

= 4b² - 6b + 4

5 0
3 years ago
Consider the line y=8x-2 find the equation of the line that is parallel to this line and passes through the point (-5,2)
DanielleElmas [232]

Answer:

the answer is y=8x+42

Step-by-step explanation:

y-y=m(x-x¹)

y-2=8(x-(-5))

y-2=8x+40

+2 +2

y=8x+42

8 0
3 years ago
Draw and label a picture to show how knowing 7+7 helps you find 7+8
madreJ [45]
Lets say we have 7 items, and we add 7 more.
Then, in the next situation, we have 7 items and we add 8 more. Now we know that 8 = 7 + 1, so we are actually performing 7 + 7 +1. Our diagram already shows us the value of 7 + 7 so we just add 1.
The items can be represented by circles, triangles etc
3 0
4 years ago
Please help thank you.
posledela
Hello!

You can separate the shape into two rectangular prisms

prism 1 - 9, 2 ,4
prism 2 - 4, 2, 8

Since the frosting is on the outside of the cake you have to find the surface area

To find the surface area you use the equation

2(wl + hl + hw)

Put in the values you know

2(9 * 2 + 4 * 2 + 9 * 4)

multiply

2(18 + 8 + 36)

Add

2(62) = 124

Now you find the surface area of the second prism

2(4 * 2 + 2 * 8 + 4 * 8)

Multiply

2( 8 + 16 + 32)

Add

2(56) = 112

Now add the two surface areas to get the surface area of the whole shape

112 + 124 = 236

The answer is 236in squared

Hope this helps!
6 0
3 years ago
Read 2 more answers
A car is driving at 100 kilometers per hour. How far, in meters, does it travel in 5 seconds?
Zolol [24]

8.3333333333333333333333333333333333333 meters I recommend putting 8.3 with a bar notation over the 3

5 0
3 years ago
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