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Alona [7]
3 years ago
11

What is the following solution to |x+3|=12

Mathematics
2 answers:
vladimir1956 [14]3 years ago
5 0
|x|=a\iff x=a\ or\ x=-a\\==============================\\|x+3|=12\iff x+3=12\ or\ x+3=-12\ \ \ \ |subtract\ 3\ from\ both\ sides\\\\\boxed{x=9\ or\ x=-15}
deff fn [24]3 years ago
4 0
|x+3|=12\\
x+3=12 \vee x+3=-12\\
x=9 \vee x=-15
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Use the diagram below to solve. The m∠ 1 = 29x + 12 and the m∠ 5 = 15x - 8. All lines that appear parallel are parallel.
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Answer:

Equation: (29x + 12)° + (15x - 8)° = 180°

x = 4

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Step-by-step explanation:

Given:

m∠ 1 = 29x + 12,

m∠ 5 = 15x - 8

Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.

Therefore, m<1 = m<4 = 29x + 12

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(29x + 12) + (15x - 8) = 180° (substitution)

The equation above is what we would use in solving for x. Let's solve for x:

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Collect like terms

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Subtract 4 from both sides

44x = 180 - 4

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Divide both sides by 44

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Plug in the value of x

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