Jordan and sharla are saving money to go on a study abroad trip. they must provide a down payment of $650 to sign up for the trip, and they can pay the remaining balance later. jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. sharla raises money by selling handmade necklaces for $15 each. sharla raises less money than jordan does because sharla only has enough materials to make 40 necklaces. write two constraints to model the problem. let x represent the number of la wns lordan mows and y represent the number of necklaces sharla sells. (b) can sharla afford the down payment with the money she earns selling all her necklaces? explain your answer.

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)