∆ABC represents a randomly drawn triangle. ∆BCD is an isosceles triangle with sides BC and BD congruent. Point D lies on the line passing through points A and B. Use this information to answer the questions that follow. a. As the construction shows, the measure of ∠ACD is greater than the measure of ∠BCD. Based on this information, create an inequality involving sides AD and AC and explain your reasoning.

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Divide: 1573 ÷ 7 = a) 222 r5 b) 223 r6 c) 224 r5 d) 224 r3

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Write an algebraic expression for the word expression the quotient of c and 8