Hi there!
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I believe your answer is:
MN = 66
x = 5
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Here’s why:
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- A midpoint separates a line segment into two congruent parts.
- Knowing that one half of the line segment, LN, measures 33, we can double it to get 66, the whole measurement of the segment.
MN = 66
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[tex]10x - 17 = 33\\\\10x - 17 + 17 = 33 + 17\\\\10x = 50\\\\\frac{10x=50}{10}\\\\\boxed{x = 5}[/tex]
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The value of 'x' is equal to 5.
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The equation was the measurements of both sides set equal to each other.
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Hope this helps you. I apologize if it’s incorrect.
