Question

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

Explanation:

Step1: Use triangle congruence

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

Step2: Set up the equation

We know \(IN = 2x+10\) 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:

\(8\)