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What does segment bisector mean?

its a line that divides a segment in half?

|dw:1377144056587:dw|

Ok?

Since M is a bisector, what do you know about the length of JM and the length of KM?

Good.
|dw:1377144680791:dw|

Form the figure you see that JM + MK = JK, right?

yes .

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?

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.

yes thats correct.

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.