Christopher's backyard is in the shape of a trapozoid. the bases of his backyard are 30 and 40 feet long. the area of his back yard is 525 square feet. write and solve an equation to find the height of christopher's back yard.

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

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?

In a right triangle δabc, the length of leg ac = 5 ft and the hypotenuse ab = 13 ft. find: b the length of the angle bisector of angle ∠a.