Point M is the midpoint of segment PQ. If PM = 23x + 5 and MG = 25x - 4, find the length of segment PQ.
2007-09-11 15:23:18 · 8 answers · asked by asdfghjkl 1 in Science & Mathematics ➔ Mathematics
First PM = MQ so we solve for x by setting the as an equation
25x - 4 = 23x + 5
2x = 9
x = 4.5
Then we put x into the initial equations
23(4.5) + 5 = 108.5
25(4.5) - 4 = 108.5
Then add them together to get our total
108.5 + 108.5 = 217
Therefore the length is 217
2007-09-11 15:32:34 · answer #1 · answered by AndrewB 3 · 0⤊ 0⤋
Point M is the midpoint of segment PQ. If PM = 23x + 5 and MQ = 25x - 4, find the length of segment PQ.
PM = MQ
23x + 5 = 25x - 4
-23x +4 = -23x +4
9 = 2x
x = 9/2
MQ = 25*9/2 -4
PQ = 2MQ = 25*9 - 8 = 225-8 = 217
2007-09-11 22:30:48 · answer #2 · answered by idiot 3 · 0⤊ 0⤋
PM=MQ
23x+5=25x-4
5=2x-4
9=2x
4.5=x
2007-09-11 22:33:39 · answer #3 · answered by Help312 2 · 0⤊ 0⤋
the easiest way is to draw a picture of the line with p and q on the ends and m in the very middle then add 23x+5 and 25x-4.
23x+25x=48x and 5-4=1 so your answer would be 48x+1
2007-09-11 22:30:53 · answer #4 · answered by Anonymous · 0⤊ 0⤋
12
2007-09-11 22:27:56 · answer #5 · answered by Katie 2 · 0⤊ 1⤋
If M is the midpoint, PM=MQ from which you can determine x. Then 46x+10 = PQ.
2007-09-11 22:27:49 · answer #6 · answered by cattbarf 7 · 0⤊ 0⤋
well did you write the problem wrong? did you mean to say that MQ = 25x - 4
cause if so the answer is
48x + 1
i think
because you would probably add the two distances
2007-09-11 22:27:24 · answer #7 · answered by Anonymous · 0⤊ 0⤋
the answer is positively 42 see link
2007-09-11 22:34:28 · answer #8 · answered by .monk 4 · 0⤊ 0⤋