On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 30), R(−20, 30), S(−20, −10), and T(10, −10), and represents the floor plan of a room. Find the perimeter and area of the room.

Is fgh ~ jkl? if so, identify the similarity postulate or theorem that applies.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x