Given that DB ? AC and B is the midpoint of AC; prove that ?ABD ? ?CBD.
(Outline) DB ? AC, ?ABD and ?CBD are right triangles, and B the midpoint of AC. Thus, AB ? BC. DB ? DB. So ?ABD ? ?CBD by LL.
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Solve the problem. 30% of the population of a village has a certain disease. If people in the village are selected successively at random, what is the probability that the 3th person selected is the first person with the disease?
A. 0.147000 B. 0.490000 C. 0.090000 D. 0.063000
Solve the problem. Round rates to the nearest tenth of a percent and dollar amounts to the nearest cent.A local dealer sells baseballs for $25 each. If $6.90 is the cost, what is the percent of markup on the cost?
A. 27.6% B. 2.6% C. 72.4% D. 262.3%
Solve the problem. The data in the table was obtained for a gas at constant temperature. The gas was contained in a syringe and the volume of the gas was varied by squeezing the syringe. The pressure (in atmospheres) of the gas was measured for various volumes (in cm3) of the gas.
Let P be the pressure (in atm) of the gas when the volume is V (in cm3). Find an equation of a model to describe the data. Use the point (8, 1.17) to find the constant of variation. In a sentence that uses the phrase "varies directly" or "varies inversely", describe how the volume and pressure of the gas are related. Use the model you found to estimate the volume of the gas if the pressure is 0.80 atm.
What will be an ideal response?
Graph the system of inequalities. Shade the region that represents the solution set.y? - x2 + 8x - y< 2
A. 
B. 
C. 
D. 