Write a linear expression in simplest form to represent the perimeter of the trapezoid. then find the perimeter if the value of x is 7 yards.

the sides of the trapezoid are (going in a clockwise direction starting from the top):
(7x + 3) yd
(6x + 3 ) yd
(5x) yd
(6x + 3) yd

The reflexive property of congruence lets you say that ∠pqr ≅

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min