The area of trapezoid varies jointly with the height of the trapezoid and the sum of its two bases. the area of one trapezoid is 150 square centimeters when its height is 12 centimeters and its base sum is 25 centimeters. what is the area of a trapezoid having a height of 20 centimeters and a base sum of 35 centimeters.

Adriveway is 60-feet long by 6-feet wide. the length and width of the driveway will each be increased by the same number of feet. the following expression represents the perimeter of the larger driveway: (x + 60) + (x + 6) + (x + 60) + (x + 6) which expression is equivalent to the expression for the perimeter of the larger driveway? a) 2(x + 66) b) 4x + 33 c) 4(x + 33) d) 4(x + 132)

Astudent simplified a rational expression as shown.

1. are the triangles similar and if so why? what is the value of x? show your work.