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PtichkaEL [24]
3 years ago
7

How many solutions does 7(x - 2) + 5 = 3 (2x - 1) + 1 have?

Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer:

one, x = 7

Step-by-step explanation:

7(x - 2) + 5 = 3 (2x - 1) + 1

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7

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Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N​
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Answer:

  114°

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

__

<h3>setup</h3>

  (11x +15)° = 60° +6x°

<h3>solution</h3>

  5x = 45 . . . . . . . . . divide by °, subtract 15+6x

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The measure of exterior angle KMN is ...

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_____

<em>Additional comment</em>

Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...

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Equating these expressions for 180° and subtracting M gives the relation we used above:

  (11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°

  (11x +15)° = 60° +6x° . . . . . . . . . . . subtract M

This is also described by "supplements to the same angle are equal."

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