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3 multiple choice 25 points find the value of x. diagram: triangle xwi …

Question

3 multiple choice 25 points find the value of x. diagram: triangle xwi with midsegment cd, base wi = 12, segment cd = x; multiple - choice options: 18, 12, 24, 6 previous

Explanation:

Step1: Identify Midline Theorem

The segment \( CD \) connects midpoints of \( XY \) and \( XW \) (since marks show equal segments), so by Midline Theorem, \( CD=\frac{1}{2}WI \).

Step2: Calculate \( x \)

Given \( WI = 12 \), so \( x=\frac{1}{2}\times12 = 6 \).

Answer:

6 (corresponding to the option with value 6)