Question

1. an equilateral triangle has sides ab = 2x + 5 and bc=-y + 9. (equilateral means that all sides are equal.) write an equation for y in terms of x.

Explanation:

Step1: Recall property of equilateral triangle

In an equilateral triangle, all sides are equal. So, if \(AB = 2x + 5\) and \(BC=-y + 9\), then \(2x+5=-y + 9\).

Step2: Rearrange the equation to solve for \(y\)

Add \(y\) to both sides and subtract 5 from both sides. We get \(y=-2x + 4\).

Answer:

\(y=-2x + 4\)