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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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Solve for x. 1.1x + 1.2x - 5.4 = -10
Andru [333]

Answer:

x ≈  - 1.83

Step-by-step explanation:

to solve for x in the question 1.1x + 1.2x - 5.4 = -10

we have

2.3x - 5.4 = -10

collect the like terms

2.3x = -10 + 5.4

2.3x = -4.2

divide both sides by the coefficient of x

2.3x/2.3 = -4.2/2.3

x = -1.826

x ≈  - 1.83

4 0
3 years ago
We have been asked to investigate two flights, AA flight and U A flight. Both flights are at 33,000 feet, and the flight paths i
Varvara68 [4.7K]

Answer:

Both flights approach each other at a speed of 624.70 Knots. The FAA minimum separation is not violated as both airplanes are 7.26 Nautical miles away from each other at the time when one of the flights( flight AA) passes through Frada Heights.

Step-by-step explanation:

To solve this kind of problem, the knowledge of concept of relative velocity is needed as the first question requested how fast the flights were approaching each other. To find the minimum distance between both flights, the closest point of approach between both flights should be taken into consideration which was Frada heights. Flight AA passes through Frada Heights in a shorter time of 0.079 hours. This is the time at which both flights approach each other the closest and so the minimum distance (separation) between them. This was calculated to be 7.26NM which is greater than the FAA's minimum this requirement for flight was not violated.

Detailed calculation steps can be found in the attachment below.

8 0
3 years ago
Please help!!! Thanks!
Darina [25.2K]
8x+(4*30)=6(6+30)
8x+120=6x+180
2x=60
x=30 pounds of coffee
3 0
3 years ago
Can anyone help me with number 3 please
Gnoma [55]
Answer:


I think is (B)
4 0
2 years ago
There are 20 boys in Fred's scout troop, and 12 of them are going on the 50-mile hike. What percent of the boys are going on the
anygoal [31]

Answer:

60%

Step-by-step explanation:

12/20=0.6

0.6=60%

4 0
3 years ago
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