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Talja [164]
3 years ago
5

The interior angle of the regular hexagon below measures 120, and the hexagon has rotational symmetry. Which of the following is

the measure of an interior angle after a 90 degree rotation around the point of symmetry?
A. 45 B. 90 C. 120 D. 60
Mathematics
1 answer:
laila [671]3 years ago
4 0

Answer:

120 degrees

Step-by-step explanation:

Given that the interior angle of the regular hexagon below measures 120, and the hexagon has rotational symmetry.

The hexagon is rotated 90 degrees around the point of symmetry.

The point of symmetry for the hexagon is centre of the hexagon.  

When the hexagon is rotated 90 degrees, transformation of rotation about a point takes place

By property of rotation  about a particular point for a certain angle transforms the original image into an congruent image preserving shape, size and other properties

Hence image will have the same angle as original

So answer is 120 degrees

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leonid [27]

Answer:

  • The value of a = 5.8
  • The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

2a = 7.2+b

b = 2a - 7.2

as

a, b, 3 are also in A.P

2b\:=\:a\:+\:3

Putting b = 2a - 7.2

2\left(2a-7.2\right)=a+3

4a-14.4=a+3

\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}

4a-14.4+14.4=a+3+14.4

4a=a+17.4

4a-a=a+17.4-a

3a=17.4

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3a}{3}=\frac{17.4}{3}

a=5.8

Now, plugging a=5.8 in b = 2a - 7.2

b=2\left(5.8\right)-7.2

b=2\cdot \:5.8-7.2

b=11.6-7.2

b=4.4

Therefore,

  • The value of a = 5.8
  • The value of b = 4.4
4 0
3 years ago
Can sombody please help me with this math problem?
Molodets [167]

y=2/3y-3


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 y=18/3-3 divide 18 and 3 =6

y=6-3 subt. 3

y=3



2.  -11=2/3x - 3

 -11+3 = 2/3 x   add 3 to both sides to cancel -3

 -8=2/3 x  

(3/2)-8 = (2/3)3/2 x multiply both sides by reciprical of 2/3

-24/2 = x  divide

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4 0
3 years ago
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larisa [96]

Answer:

I think 7

Step-by-step explanation:

4 , 8 , 9 and 12 has factors.

7 has no factor.

4= 2×2

8= 2×4

9= 3×3

12= 3×4

3 0
3 years ago
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n200080 [17]

Answer:

1530

Step-by-step explanation:

We already know that 5 hours is 510 miles and to know how much is 15 hours you will add 510 3 times 510 + 510 + 510 what 1530 would give

8 0
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Alchen [17]
Solution is in the picture 

Good luck:)

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