Given that xw bisects axz, what theorem or theorems could be used to justify that w is equidistant from two outside rays

Abarbecue sold 26 hamburgers and hot dogs. hamburgers sell for $3.50 each and hot dogs sell for $2.00 each. if the barbecue made $70 in sales, determine and state the number of hot dogs sold.

The lengths of all sides of a triangle are integers when measured in decimeters. one of the sides has length of 1 dm and another of 3 dm. find the perimeter of the triangle.'

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.