The solution for which of the following requires the use of an absolute value? A. Of the 100 marbles contained in a jar, there are 48+3 blue marbles. How many marbles are not blue? B. From a survey, local grocer found that 64% of her customers named apple as their favorite fruit. Out of the 110 people surveyed, how many preferred fruits other than apples? C. Eduardo ran a marathon(about 26.2 miles) in 5 hours and 22 minutes. What was his speed? D. Shari is standing 50 feet from a tree that is 100 feet tall. what is the distance between Shari’s foot and the top of the tree?

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)