Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch pieces of wood as shown in the diagram. He wants to make sure that the frame is a rectangle, so he measures the diagonal. What must the length of the diagonal be to ensure that the corners of the frame are right angles?

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

What is the measure of the smallest angle in the diagram? 15 29 32 45

Evaluate each expression. determine if the final simplified form of the expression is positive or negative -42 (-4)2 42