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bonufazy [111]
2 years ago
11

Which angle is coterminal with a 645° angle?

Mathematics
1 answer:
velikii [3]2 years ago
5 0

Answer:

C

Step-by-step explanation:

Coterminal angles are angles that have a common terminal side.

So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.

We have a 645° angle.

Therefore, all values of the equation:

645\pm 360n

Where <em>n</em> is an integer is coterminal with our original angle.

Letting <em>n</em> = 1 and using the negative case, we acquire:

\Rightarrow 645-360=285

Therefore, an angle measuring 285° is coterminal with a 645° angle.

None of the other options can be reached by adding/subtracting 360.

Therefore, our answer is C.

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If anyone answers this is a BEAST !Justify each step of the solution by stating the property that was used to get to each step.
Neko [114]

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3 years ago
What is the perimeter of the figure below?
Drupady [299]

Answer:

Step-by-step explanation:

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You are creating a set of three numbers that have a GCF of 9. You have 27 and 54 for two of the numbers. A. What is the GCF of 2
melamori03 [73]

Answer:

A. GCF of both is 27

B. By adding 9 and 18 to the set, the GCF of the four numbers become 9

Step-by-step explanation:

A. The GCF of 27 and 54 is 27

GCF represents greatest common factor. It means the highest number which is both a factor of 27 and also a factor of 54. The highest number in this case is 27.

The factors of 27 are ;

1, 3 , 9 , 27

for 54

1,2,3,6,9,18,27 and 54

So we can clearly see that the highest factor in both case is 27

B. Now , we want to add two numbers that will make the GCF to be 9

What about adding 9 and 18?

Let’s have a look;

using the multiples of each;

9 - 1, 3 and 9

18 - 1, 2, 3 , 6 , 9 and 18

27- 1, 3 , 9 and 27

54- 1, 2, 3 , 6, 9, 18, 27 and 54

We can clearly see here that the highest factor that takes all four numbers into consideration is the number 9

3 0
3 years ago
Graph Y = -1/2x-6<br> Please help me out! I will mark answer brainiest if you do...
elena55 [62]
Y = -1/2x - 6......u have a slope of -1/2....u have a y int of -6 or (0,-6)

the x int can be found by subbing in 0 for y and solving for x
0 = -1/2x - 6
1/2x = -6
x = -6 * 2
x = -12.....so ur x int is -12 or (-12,0)

so go ahead and plot ur intercepts.....(0,-6) and (-12,0)...well...u cant really plot ur x axis because ur graph is not big enough....so start at (0,-6)...and I know the slope is -1/2....and u would usually start at (-12,0)...but that is not on the graph....so start at (0.-6)....and go up 1 and to the left 2, plot that point....then up 1 and to the left 2...plot that point......u would eventually cross the x axis at (-12,0).

or u could just go to desmos....its a graphing calculator...and see for urself
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