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Zigmanuir [339]
3 years ago
7

The M & P Pencil company that makes mechanical pencils expects to have two defective pencils for every 15 made. What is the

number of defective pencils they will have in a batch of 4,485?
Mathematics
1 answer:
sattari [20]3 years ago
7 0
598 defective pencils
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Reil [10]

<u>Answer:</u>

9. x = 12

10. x = 31

<u>Step-by-step explanation:</u>

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

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<u>Check:</u>

4(12) + 16

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7(12) - 20

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10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

<u>Check:</u>

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

<em>I hope this helps!!</em>

<em>- Kay :)</em>

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