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Ray Of Light [21]
3 years ago
15

Members of the drama club spend $795 on t-shirts and sweatshirts for a play.They purchase 20 more tshirts than sweatshirts.They

buy tshirts for $12 each sweatshirt for $25 each. How many tshirts do the drama club buy
Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

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Answer:

  2.  x = 18

  3.  x = 7

  4.  missing angles are 73°

Step-by-step explanation:

The simple rules involved here are ...

  • the sum of angles of a triangle is 180°
  • angles forming a linear pair are supplementary (total 180°).

Together, these tell you that the external angle of a triangle has the same measure as the sum of the opposite internal angles. (The third angle is the supplement of the external angle.)

<u>Problem 1</u>

Work shown is correct.

__

<u>Problem 2</u>

Using the above observation, ...

  (5x -11)° + (2x +20°) = (11x -63)°

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<u>Problem 3</u>

The angles of an equilateral triangle are 60°, so that is the measure of the marked angle.

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__

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Filling in the given apex angle value, we get ...

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Both missing angles are 73°.

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