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garik1379 [7]
3 years ago
8

Given: ⅓ (18x + 27) = 81 Prove: x = 12

Mathematics
1 answer:
sasho [114]3 years ago
4 0

Answer:

Firstly, rewrite the equation:

⅓ (18 + 27) = 81

Substitute x for the given number of it's supposed equivalent.

In this case x = 12.

⅓ (18(12) + 27) = 81

Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.

(18 x 12) + 27 = 243

Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .

⅓ (243) = 81

When you multiple these number they are equivalent to 81.

81 = 81

Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.

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Based on the diagram, which expresses all possible lengths of segment AB? AB = 25 27 < AB < 81 AB = 85 AB< 27 or AB &gt
Thepotemich [5.8K]
The answer

according to the figure, we can solve this problem only by applying sines rule:
that is 
sinA/a  = sinB/b = sinC /c

As we observe,  sin A /54  = sin B/27 = sin C/ c, and c = AB

besides, sinC > sinB > sinA  , so the only answer possible is 
<span>27 < AB < 81</span> 



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3 years ago
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Answer:

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Step-by-step explanation:

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