Problem

$\begin{array}{l}(4 x+12) \\ (80-x)\end{array}$ what value of x would make these statements parallel

Answer

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Answer

Final Answer: The value of x that makes the two statements parallel is \(\boxed{\frac{68}{5}}\).

Steps

Step 1 :The given expressions represent the slopes of two lines. For two lines to be parallel, their slopes must be equal. Therefore, we need to find the value of x that makes the slopes equal.

Step 2 :Setting the two expressions equal to each other, we get the equation: \(4x + 12 = 80 - x\).

Step 3 :Solving this equation, we find that the solution is \(x = \frac{68}{5}\).

Step 4 :Final Answer: The value of x that makes the two statements parallel is \(\boxed{\frac{68}{5}}\).

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