SOLUTION: ◻️BATH is a parallelogram, S is in the middle or the diagonals Given: HS = 10x + 7 AS = 5x + 22 Find: HA

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Question 921613: ◻️BATH is a parallelogram, S is in the middle or the diagonals
Given: HS = 10x + 7
AS = 5x + 22
Find: HA
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonals of a parallelogram bisect each other.
They intersect at S, so S is
the midpoint of diagonal BT (which we do not care about),
and the midpoint if diagonal AH (which means HS=AS, and AH=2HS).
system%28HS=10x%2B7%2CAS=5x%2B22%2CHS=AS%29--->10x%2B7=5x%2B22--->10x%2B7-5x-7=5x%2B22-5x-7--->10x-5x=22-7--->5x=15--->x=15%2F5--->x=3
So, HS=10x%2B7 means HS=10%2A3%2B7--->HS=30%2B7--->HS=37 ,
and HA=2HS means HA=2%2A37--->highlight%28HA=74%29 .