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spayn [35]
3 years ago
14

1. Which inequality is true?A.6 π > 18B.6 π < 18C.6 π = 18D.18 > 6 π​

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

a

Step-by-step explanation:

a is the answer ..........

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Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? (Negati
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mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

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Combine like terms:

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32x = 384

Divide both sides by 32:

x = 12

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2 years ago
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