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Dennis_Churaev [7]
3 years ago
8

The regular pentagon ABCDE rotates counterclockwise about its center to form pentagon A′B′C′D′E′. The angle of rotation at which

point A′ coincides with point D is °.
Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0
It is a regular pentagon which means all five sides are the same length. This also means that the angle between any two adjacent vertices is the same. So to find the angle between two adjacent vertices we take 360° and divide it by 5 which equals 72°. But A and D are not adjacent to each other, they have E in the middle (it also has B and C in the middle on the other side, but that's the bigger angle, and we usually label angles through their smaller angle. ex: a 30° angle is 30° if you look at it on the smaller angle (∠ ← here), but if you look at the bigger side of the angle (here →∠) it is 330°, yet we still call it a 30° angle). So, between A and D are two equal angles A to E, and E to D. So we multiply 72° by 2 which equals 144<span>°.

So the answer is 144</span><span>°.</span>
lianna [129]3 years ago
5 0

Answer:

144

Step-by-step explanation:

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What percent of 250 is 45?
IrinaK [193]

Answer:

18

Step-by-step explanation:

If you are using a calculator, simply enter 45÷250×100 which will give you 18 as the answer.

3 0
4 years ago
Help will award branliest
Lunna [17]
The first would be yes. The second no, the third no, and the last yes
6 0
3 years ago
5. MAPPING Ben and Kate are making a
Rainbow [258]

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2}

d = \sqrt{(8)^2 + (6)^2}

d = \sqrt{64 + 36}

d = \sqrt{100}

d = 10 units

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Plug in the values

M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2})

M(\frac{4}{2}, \frac{-2}{2})

M(2, -1)

6 0
3 years ago
The product of two consecutive non-negative odd integers is 783 what are the integers
Anton [14]

Here's how you can do that.

Explanation:

The problem tells you that the product of two consecutive odd integers is equal to  

783

.

Right from the start, you know that you can get from the smaller number to the bigger number by adding  

2

.

You need to add  

2

because if you start with an odd number and add  

1

, you end up with an even number, which is not supposed to happen here.

odd number

+

1

=

the consecutive even number

 

×

odd number

+

2

=

the consecutive odd number

 

√

So, if you take  

x

to be the first number, you can say that

x

+

2

is the second number, which means that you have

x

⋅

(

x

+

2

)

=

783

4 0
3 years ago
Hiii, I have a little maths problem. So I have this at the photo. I checked and the answer should be -0,0081 . But I don't get w
Liono4ka [1.6K]

Answer:

you are correct with -0.0081

Step-by-step explanation:

but if you are multiplying a negative times a positive it is a negative always. So you do a negative times a negative you get a positive. Then you multiply the positive with a negative to get a negative then you do the negative times a negative to get a negative.

5 0
4 years ago
Read 2 more answers
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