Question

This is geometry and I am unable to find both answers to the blanks, I need help.

Answer 1

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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`10x - 17 = 33\\\\10x - 17 + 17 = 33 + 17\\\\10x = 50\\\\(10x=50)/(10)\\\\\boxed{x = 5}`

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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.