Question

1. if w(-10,4), x(-3,-1), and y(-5,11). find the length of each side and classify awxy by its sides.
2. solve for x.
3. if \\( \triangle abc \\) is equilateral, find x.

Explanation:

Step1: Recall the property of an equilateral triangle

In an equilateral triangle, all angles are equal. Each angle of an equilateral triangle is \(60^{\circ}\).

Step2: Set up the equation

Given the angle at \(C\) is \((8x - 44)^{\circ}\). Since it is an equilateral triangle, \(8x-44 = 60\).

Step3: Solve the equation for \(x\)

Add \(44\) to both sides of the equation: \(8x-44 + 44=60 + 44\), which simplifies to \(8x=104\).
Divide both sides by \(8\): \(x=\frac{104}{8}=13\).

Answer:

\(x = 13\)