Waterloo Park posted the following schedule listing the number of hours an employee works on a given day. Let B(x), T(x), R(x), and S(x) represent the number of hours worked by Bill, Ted, Rufus, and Socrates, respectively, on a given day x. A 5-column table has 4 rows. The first column is labeled Monday with entries 6, 4, 8, 1. The second column is labeled Tuesday with entries 5, 0, 3, 2. The third column is labeled Wednesday with entries 4, 6, 6, 3. The fourth column is labeled Thursday with entries 7, 10, 5, 4. The fifth column is labeled Friday with entries 8, 3, 0, 0. Row 1 is labeled Bill, Row 2 is labeled Ted, Row 3 is labeled Rufus, and Row 4 is labeled Socrates. What is the value of the inverse shown below? S –1 (0) =

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)