Given that a quadrilateral PQRS is a parallelogram, PQ and RS are opposite sides, PQ = 6x + 10, RS = + 12, and QR = 31 which of the following statements are correct?. More than one answer may be correct. - Opposite sides are congruent

- The diagonals are perpendicular

- The parallelogram PQRS is a square

- Perimeter = 106

- PS = 31

- x = 4

- None of these answers are correct

The rumpart family is building a new room onto their house. the width of the new room will be 16 feet. the length of the room will be 4% greater than the width. write an expression to find the length of the new room. what will be the area of this new room?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Use circumcenter theorem to solve for the given values