Two new skyscrapers, North and South, are being built. The height, N, in feet of the xth floor above the ground floor for the North Tower is shown in the graph of N(x). The height, S, in feet of the xth floor above the ground floor for the South Tower is shown in the graph of S(x). Dayton says that the floors of the North Tower are taller than the floors of the South Tower. He also says that the ground floor of the South Tower is taller than the ground floor of the North Tower. Analyze the graphs of N(x) and S(x) to explain whether Dayton's statements are correct.

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

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)

Perry observes the opposite parallel walls of a room in how many lines do the plains containing the walls intersect