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Mariulka [41]
3 years ago
5

Kay has a playlist of 10 songs. She has time to listen to 4 of the songs on her way to school.

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer:

40 different arrangements of songs

Step-by-step explanation:

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3. Using the diagram below, answer the following questions. Remember, you must
Gwar [14]

Using vertical angles, it is found that:

A. The solution for y is of y = 4.

B. The angle measures are given as follows:

  • <A = 66º.
  • <C = 114º.
  • <D = 114º.

<h3>Vertical Angles</h3>

If two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.

In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:

6y + 42 = 66

6y = 24

y = 24/6

y = 4.

Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:

<C + 66º = 180º

<C = 180º - 66º

<C = 114º.

Angles C and D are vertical, hence the measure of angle D is calculated as follows:

<D = 114º.

More can be learned about vertical angles at brainly.com/question/1673457

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4 0
1 year ago
Thirteen people are entered in a race. If there are no ties, in how many ways can the first three places be awarded?
Leni [432]

Answer:

666.888.000.333

Step-by-step explanation:

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5 0
2 years ago
How many 1/3 - hour shifts are in 3 hours
Alex Ar [27]
Each (1/3) shift would be 20 min. There are 3 shifts every hour and there are 3hrs.

3x3= 9 shifts
3 0
3 years ago
Help!&amp;:&amp;&amp;/‘snsksnjsa
finlep [7]

Answer:

17

Step-by-step explanation:

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3 0
2 years ago
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mihalych1998 [28]
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16
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3 years ago
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