Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45°. how many parallelograms can you construct given these conditions? what are the lengths of the sides and the measurements of the angles for the parallelogram(s)? part A
using a ruler and a protractor, draw a parallelogram that satisfies the given conditions. (if you don't have these tools available, draw it freehand.) how many different parallelograms can you draw based on the given conditions?

part B
using the given information, can you determine the lengths of all the sides of the parallelogram? if so, what are the side lengths?

part C
using the given information, can you determine the measurements of all the angles of the parallelogram? if so, what are the angle measurements? use a protractor if necessary.

part D
what is the relationship between adjacent angles in the parallelogram?

part E
given two side lengths and an angle measurement, how many parallelograms can be constructed that fit the conditions?

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(50 POINTS)

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.