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lesantik [10]
3 years ago
15

the ratio of country albums to jazz albums in a music collection is 2 : 3. If the music collection has 45 albums, how many are c

ountry albums?
Mathematics
2 answers:
labwork [276]3 years ago
6 0
There would be 30 country albums, because if you divide 45 by 3 you'd get 15. Then you'd multiply 15 by 2 to get your answer 30.
Oksi-84 [34.3K]3 years ago
4 0
30 country albums because if you divide 45 by 3 you get 15 which is 1/3 of the whole thing. Add another 15 and you get 30 which is 2/3 of it.
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I need help with this question in my math homework
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Answer:

  • ∠CDE ↔ 50°
  • ∠FEG ↔ 75°
  • ∠ACB ↔ 55°

Step-by-step explanation:

To solve angle problems like this, you make use of three relations:

  • linear angles have a sum of 180°
  • angles in a triangle have a sum of 180°
  • vertical angles have the same measure

The attached diagram shows the measures of all of the angles of interest in the figure. The ones shown in blue are the ones that have the measures and names on the list of answer choices.

__

A good place to start is with the linear angle pair at A. Since the sum of the two angles is 180°, the angle at A that is inside the triangle will be ...

  180° -130° = 50°

Then the missing angle in that triangle at C will have the measure that makes the sum of triangle angles be 180°:

  ∠ACB = 180° -50° -75° = 55° . . . . . this is one of the angles on your list

Similarly, the angle at E inside triangle FEG will have a measure that makes those angles have a sum of 180°:

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  ∠CDE = 180° -55° -75° = 50° . . . . . this is one of the angles on your list

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