1. What is the value of x if (9, x, 41) is a Pythagorean triple? 2. Lance walked 20 miles east and then 21 miles north to get to work. If he
walked back home after work using the most direct route, how many miles would
he walk on the way back? (Find the hypoteneuse of the triangular path)
3. Mike measured the stage where his band was going to play to determine if it is
a right triangle. Does the stage with side lengths of 36 feet, 48 feet, and 60 feet
form a right triangle?4. What is the length of a diagonal of a cube with a side length of 5 inches

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?