In the diagram below, DF = JL = a, FE = LK = b, and triangle DEF is a right triangle. Use the drop-down menus to complete the proof that if the equation a² + b2 = c2 is true of
the side lengths in triangle JKL, then triangle JKL must be a right triangle.

Please help

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?