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

Question

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

Explanation:

Step1: Use the property of congruent triangles

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

Step2: Substitute the given values

We have the equation \(5x - 15=55\).

Step3: Solve the equation for \(x\)

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

Answer:

\(14\)