Question

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

Explanation:

Step1: Determine the relationship between IN and AT

Since the two triangles are congruent (by the markings indicating equal sides), \(IN = AT\).

Step2: Set up the equation

Given \(IN = 5x - 15\) and \(AT = 55\), we set \(5x-15 = 55\).

Step3: Solve for \(x\)

Add \(15\) to both sides of the equation: \(5x-15 + 15=55 + 15\), which simplifies to \(5x=70\).
Divide both sides by \(5\): \(x=\frac{70}{5}=14\).

Answer:

14