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3. if in = 5x - 15 and at = 55, find x.

Question

  1. if in = 5x - 15 and at = 55, find x.

Explanation:

Step1: Use congruent triangles property

Since the triangles are congruent, \( IN = AT \).

Step2: Substitute the given values

Substitute \( IN = 5x - 15 \) and \( AT = 55 \) into \( IN = AT \), we get \( 5x - 15 = 55 \).

Step3: Solve for \( x \)

Add 15 to both sides: \( 5x=55 + 15 \), so \( 5x = 70 \).
Divide both sides by 5: \( x=\frac{70}{5}=14 \).

Answer:

14