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Help with geometry [midpoint]?
If this were the line..it'd look like
L-----m-----n-----o-----p
as if the letters were points and the dashed lines were a straight line.
N is the midpoint of line LP.
LN = 30; NO = 3d; OP 6d+12
SO: i worked it as LN = NP
or NO = OP (3d= 6d+12)
LN = 30 so NP should = 30 with NO and OP each equaling 15
i set it up as 3d=6d + 12
subtracted 6d from both sides and got -3d = 12
divided -3 on both sides and got d=-4
Plugged in the variable of d:
NO = 3(-4) = -12
OP= 6(-4)+12 = -12
But if NO = OP = NP which means -12 + -12 = -24
LN is NOT equal to NP..
what did i do wrong?? HELP!
@Geezah : thank you so much! I see now.. 2=d and NO = 6 and OP = 24 which toether make 30 or NP :DD THANKS!!
1 Answer
- Anonymous1 decade agoFavorite Answer
You weren't told that o was the midpoint of np, so it's not necessarily true that 3d= 6d+12.
You were told that n is the midpoint of Lp, so that means Ln = np, so 30 = 3d + (6d+12).