You are considering taking out one of two loans. loan r has a principal of $17,550, an interest rate of 5.32% (compounded monthly), and a duration of seven years. loan s has a principal of $15,925, an interest rate of 6.07% (compounded monthly), and a duration of nine years. assuming that you pay back each in monthly intervals, which loan will have a greater lifetime total, and how much greater will it be? round all dollar values to the nearest cent. a. loan s’s lifetime total will be $1,274.12 greater than loan r’s. b. loan s’s lifetime total will be $32.99 greater than loan r’s. c. loan r’s lifetime total will be $350.88 greater than loan s’s. d. loan r’s lifetime total will be $58.96 greater than loan s’s.

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)