The dot plot displays data from 14 random samples, each consisting of 30 middle school students. Each dot
represents the mean number of sports played per year by
students in the sample.
a. Which number best represents the mean number of
sports played by middle school students?
Means of Samples
.

4
1
2.
3
Number of Sports Played
b. Find and interpret the variability in the distribution.

Triangles abd and ace are similar right triangles. witch ratio best explains why the slope of ab is the same as the slope of ac?

Solve 2x − 1 = 11 for x using the change of base formula log base b of y equals log y over log b.

Given: abcd is a square. prove: ac ? bd. we are given that abcd is a square. if we consider triangle aeb and triangle aed, we see that side is congruent to side ad because sides of a square are congruent. we know that side ae is congruent to side ae by using the . finally, we know that side de is congruent to side because the diagonals of a square bisect each other. therefore, triangle aeb is congruent to triangle aed by congruency. we see that angle aed and angle aeb are a linear pair, and congruent by cpctc. thus, the measure of these angles will be 90°, and diagonal ac is perpendicular to diagonal bd by the .