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Given: ABCD is a trapezoid. ΔAYD is congruent to ΔBCY. ABYD is a rhombus. AD=3 and AX=1. Find the length of all sides and diagonals.
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
a motorboat can contain a constant speed of 38 mph relative to the water. the boat makes a trip upstream to a certain point in 42 minutes; the return trip is 34 minutes. what is the current?
a rectangular piece of cardboard, whose area is 320 square cm, is made into an open box by cutting a 2-cm square from each corner and turning up the sides. if the box is to have a volume of 384 cubic cm, what size cardboard should you start with?
Find a function that models the total area of the four pens. (Use w to represent the width of the field, and write the function A in terms of w.)
Manufacturer of mp3 players is preparing to set the price on a new model and demand is thought to depend on the price and is represented by the model
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
A rancher has 3,600 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?
Two trains leave stations 440 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Graph triangle WXY on a separate piece of paper. How many lines of symmetry does Triangle WXY have?
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
Suppose a family plans 6 children, and the probability that a particular child is a girl is ½. Find the probabilities that the 6-child family
A house and lot valued at $ 92500 is being depreciated over 25 years by the straight-line method . After 11 years, the book value of the asset is $ 65000 . Since only the value of the house depreciates, find the assumed value of the land.
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