Quadrilateral ABCD has vertices at A(-4,2), B(-1,6), C(7,0), and D(4,-4). Use of the accompanying grid is optional. (a) Find the midpoint of each of ABCD's diagonals, i. e. AC and BD. What kind of special quadrilateral can we conclude ABCD is based on this information? [3 points]

(b) Find the slope of AB and the slope of BC. What kind of special quadrilateral can we conclude ABCD is based on this information and what we found in (a)?

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In the equations, a and b represent the price per night for a room in hotel a and hotel b, respectively, w weeks after september 1 last autumn. what was the price per night in hotel a when it was equal to the price per night in hotel b? a = 240 − 20w b = 320 − 30w

What is the value of x? enter your answer in the box.

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet