Ninety-eight women and 225 men participated in a five kilometer road race. Below are summary statistics from Minitab on their times in the race.
Descriptive Statistics: Women, Men
Variable
Women
Men
N
98
225
Mean
28.891
24.758
St Dev
6.181
5.026
Minimum
17.717
15.050
QI
24:229
21.117
Median
26.917
24.050
03
32.525
27.608
Maximum
48.800
48.417
1. Santiago finished in 51st place among the men, with a time of 20.9 minutes. Keisha finished
33.d among women, with a time of 25.2 minutes. Use percentiles and r-scores to compare
Santiago's and Keisha's relative standing among men and women, respectively.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)