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3 years ago

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

1 answer:

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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Round 2.71828 to the hearest thousandth.

Colt1911 [192]

Answer:

2.718

Step-by-step explanation:

The thousandths place is 3 to the right of the decimal (the 8).

Since the next number is 2, the number stays the same and does not round up.

Hope this helps :)

4 0

3 years ago

Noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will

Natali5045456 [20]

Answer: The winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

Step-by-step explanation:

Let's check all the options

$4(x-5)=35$ is not equivalent to $4x=40$

$\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55$

$8(x-7)=35$ is not equivalent to $8x=28$

$\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91$

$2(x-6)=-35$ is equivalent to $2x=-23$

$\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23$

$9(x-6)=-35$ is not equivalent to $9x=-29$

$\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5$

Thus, the winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

4 0

3 years ago

Read 2 more answers

A fine fabric was selling for $10.50 per half yard. Joni bought 2 1/3 yards. How much did he spend? Brainliest for correct answe

Alinara [238K]

Answer:

45.5

Step-by-step explanation:

First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.

8 0

3 years ago

Read 2 more answers

The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers.

belka [17]

Answer:

8,9

Step-by-step explanation:

(x +1) + 7=2x

x+8 = 2x

8=x

4 0

3 years ago

At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Since then, our family has eaten 30% of the

ZanzabumX [31]

Answer:

A. 0.7 x 80

Step-by-step explanation:

At the beginning of the month, there is 100% remaining of the peanut butter. 100% = 80 oz. After eating 30%, that's 100%-30%=70%. 70%=0.7

5 0

2 years ago

Read 2 more answers