Question

1. solve for x.

x = 41
x = 4
x = 2
x = 7

Explanation:

Step1: Identify triangle type

In triangle \(ABC\), \(\angle B = \angle C = 44^\circ\), so it's isosceles with \(AB = AC\).
\(AB = 7\) in, \(AC = 3x + 1\) in.

Step2: Set up equation

Since \(AB = AC\), \(3x + 1 = 7\).

Step3: Solve for \(x\)

Subtract 1: \(3x = 7 - 1 = 6\).
Divide by 3: \(x = \frac{6}{3} = 2\).

Answer:

\(x = 2\) (corresponding to the option "x = 2")