Draw the line MD that is parallel to AQ. Consider triangles BMD and BAQ. These triangles are similar, because they have three pairs of congruent angles (angles BMD and BAQ are corresponding, angles BDM and BQA are corresponding and angle B is common). The coefficient of similarity is because point M is midpoint of AB. Then
Since then
Consider triangles CPQ and CMD. These triangles are similar, because they have three pairs of congruent angles (angles CPQ and CMD are corresponding, angles CQP and CDM are corresponding and angle C is common). The coefficient of similarity is because point P is midpoint of CM. Then
3200≥1200+600+675 Because, the phone plan only allows at maximum 3200 minutes, meaning that all of the minutes the family has used has to be less than or equal to 3200 minutes (Or 3200 minutes is greater than the amount of minutes used by the Cruz family)