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bonufazy [111]
3 years ago
11

Which angle is coterminal with a 645° angle?

Mathematics
1 answer:
velikii [3]3 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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Solve for x,y, and z.
Ann [662]

The given triangle is isosceles, so the two remaining angles in the triangle both have measure <em>xº</em>. The interior angles of any triangle sum to 180º, so that

58º + <em>xº</em> + <em>xº</em> = 180º

58 + 2<em>x</em> = 180

2<em>x</em> = 122

<em>x</em> = 61

Angles <em>y</em> and <em>z</em> are supplementary to angle <em>x</em>, so that

<em>xº</em> + <em>yº</em> = 180º

and

<em>xº</em> + <em>zº</em> = 180º

and consequently, <em>y</em> = <em>z</em>. In particular, we get

<em>y</em> = 180 - 61

<em>y</em> = 119

and so

<em>z</em> = 119

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3 years ago
Where would 13/4 be on the number line
Rainbow [258]
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5 0
4 years ago
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Pleases complete the proof but with each step can you tell me which property of equality to use.
wel

Answer:

Step-by-step explanation:

6 0
2 years ago
maeve likes to make her salads in advance she made 15 salads for 3 days how many salads does she eat per day unit rate
Tju [1.3M]

The number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.

<h3>Unit rate</h3>

Unit rate refers to the number of units of the first type of quantity corresponding to one unit of the second type of quantity.

  • Number of salads = 15 salads
  • Number of days = 3 days

Unit rate of salad eaten per day = Number of salads ÷ Number of days

= 15 ÷ 3

= 5 salads eaten per day

A salad is a food made primarily of a mixture of raw or cold ingredients, typically vegetables, usually served with a dressing such as vinegar or mayonnaise.

Therefore, the number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.

Learn more about unit rate:

brainly.com/question/4895463

#SPJ1

7 0
2 years ago
What is the value of x?
eimsori [14]

Answer:

55

Step-by-step explanation:

As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.

6 0
3 years ago
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