This is from big ideas You and a group of friends want to know how many students in your school prefer pop music. There are 840 students in your school. Each person in the group randomly surveys 20 students. The table shows the results.
Favorite Type of Music
Country Pop Rock Rap
You 2 13 4 1
Friend A 3 8 7 2
Friend B 4 10 5 1
Friend C 5 10 4 1
Friend D 5 9 3 3

Use each sample to make an estimate for the number of students in your school who prefer rock music.

You Friend A Friend B Friend C Friend D
Estimate

Describe the center and the variation of the estimates.

Median:
students

Range:
students

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)