Question

1. if in = 2x + 10 and at = 26, find x.

Explanation:

Step1: Use triangle congruence

Since the triangles are congruent (by SSS congruence as indicated by the tick - marks), \(IN = AT\).

Step2: Set up the equation

We know that \(IN=2x + 10\) and \(AT = 26\). So, \(2x+10=26\).

Step3: Solve for \(x\)

Subtract 10 from both sides: \(2x=26 - 10\), so \(2x=16\).
Divide both sides by 2: \(x=\frac{16}{2}\).

Answer:

\(x = 8\)