Q:

# Proving Segment Relationships1. FAMILY Maria is 11 inches shorter than her sisterNancy. Brad is 11 inches shorter than his brotherChad. If Maria is shorter than Brad, how do theheights of Nancy and Chad compare? What if Mariaand Brad are the same height?

Accepted Solution

A:
Answer:Step-by-step explanation:Let the height of Maria = M inchesHeight of Nancy = N inchesHeight of Brad = B inches Height of Chad = C inchesSince Maria is 11 inches shorter than Nancy,So, M = N - 11 ------(1)Brad is 11 inches shorter than his brother Chad.So, B = C - 11 -------(2)If Maria is shorter x inches shorter than BradThen M = B - x -----(3)Now we replace the value of M from equation (3) to equation (1)B - x = N - 11B = N + x - 11Now we place the value of B from equation (2) C - 11 = N + x - 11C = N + x --------(4)That reveals that Nancy is shorter than Chad.If Maria and Brad are of same height, that means M = B or x = 0 [from equation (3)]From equation (4),N = C Heights of Nancy and Chad will be same.