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m is the segment bisector of segment JK . JM= 1/8x , and JK= 3/4x-6 . How do i find MK? Help?

Mathematics
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What does segment bisector mean?
its a line that divides a segment in half?
Right. In this case, I think M is simply a point, but it still cuts the segment JK into two congruent segments.

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Other answers:

|dw:1377144056587:dw|
Ok?
Since M is a bisector, what do you know about the length of JM and the length of KM?
Well i know that since m is the bisector both sides are equal which mean that since JM is 1/8x MK is also 1/8x
Good. |dw:1377144680791:dw|
Form the figure you see that JM + MK = JK, right?
yes .
Great. Below JM, MK, and JK, can you write what each one is equal to? Copy my line below and write it below that line. JM + MK = JK
1/8x + 1/8x = 3/4x-6 like this?
Exactly. That is the equation you must solve now to find x.
\( \dfrac{1}{8}x + \dfrac{1}{8}x = \dfrac{3}{4}x - 6\) Solve for x.
This is the part were im getting confused? Do i add both 1/8x to get 2/8x? or am i wrong?
Yes, you are correct. \(\dfrac{2}{8}x = \dfrac{3}{4}x - 6 \) The fraction on the left can be reduced.
alright so now i subtract the 3/4 to the other side so now its 2/8 - 3/4?
Why don't you reduce the 2/8 fraction first?
\(\dfrac{1}{4}x = \dfrac{3}{4}x - 6 \)
Now the fractions have a common denominator. Now you can subtract (3/4)x over to the left side.
it gave me -2x=-6?
What happened to the denominator of 4? You subtracted 1/4 - 3/4, not 1 - 3.
\(\dfrac{1}{4}x - \dfrac{3}{4}x = - 6 \) \(-\dfrac{2}{4}x = - 6 \)
oh okay i see and from there i cancel the -2/4x and take it to the other side having -6/-2/4 right?
Now you multiply both sides by -4/2.
\( -\dfrac{4}{2}\left( -\dfrac{2}{4}x \right) = -\dfrac{4}{2}(- 6) \)
Did you get an answer for x?
12?
Correct.
After you multiply out the right side, you get x = 12. That's not the final answer of the problem, because the problem asks what is MK.
yes thats correct.
Above, you had written an expression for MK in terms of x. Now you know x, so you can find MK. MK = (1/8)x, and x = 12, so what is MK?
1.5?
Yes. MK = 12/8 = 1.5
You got it! Great job.
Thank you so much you really helped me !(:
You are very welcome.

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