For each figure below, determine (by using the markings) if there is a pair of congruent triangles. If there is, name the congruence and give the property justifying the congruence. Note that the pairs of triangles are drawn as congruent, but you should not rely on how they are drawn in determining your answers.

If necessary, you may learn what the markings on a figure indicate.

Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120°. which equation should you solve to find the length of the third side of the triangle?

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.