Use the drop-down menus to complete the paragraph proof. we are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle and angle are alternate interior angles. since xy is parallel to zw, we know that these angles are . we also know that angle xvy and angle zvw are angles, and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.

Yao xin puts 3/10 liters of potting soil in each pot for planting flowers. she has 5 2\3 liters of potting soil. how many pots can yao xin fill?

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.

Which graph represents the equation y =4x