valiyuh
  • valiyuh
m is the segment bisector of segment JK . JM= 1/8x , and JK= 3/4x-6 . How do i find MK? Help?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
What does segment bisector mean?
valiyuh
  • valiyuh
its a line that divides a segment in half?
mathstudent55
  • mathstudent55
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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mathstudent55
  • mathstudent55
|dw:1377144056587:dw|
mathstudent55
  • mathstudent55
Ok?
mathstudent55
  • mathstudent55
Since M is a bisector, what do you know about the length of JM and the length of KM?
valiyuh
  • valiyuh
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
mathstudent55
  • mathstudent55
Good. |dw:1377144680791:dw|
mathstudent55
  • mathstudent55
Form the figure you see that JM + MK = JK, right?
valiyuh
  • valiyuh
yes .
mathstudent55
  • mathstudent55
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
valiyuh
  • valiyuh
1/8x + 1/8x = 3/4x-6 like this?
mathstudent55
  • mathstudent55
Exactly. That is the equation you must solve now to find x.
mathstudent55
  • mathstudent55
\( \dfrac{1}{8}x + \dfrac{1}{8}x = \dfrac{3}{4}x - 6\) Solve for x.
valiyuh
  • valiyuh
This is the part were im getting confused? Do i add both 1/8x to get 2/8x? or am i wrong?
mathstudent55
  • mathstudent55
Yes, you are correct. \(\dfrac{2}{8}x = \dfrac{3}{4}x - 6 \) The fraction on the left can be reduced.
valiyuh
  • valiyuh
alright so now i subtract the 3/4 to the other side so now its 2/8 - 3/4?
mathstudent55
  • mathstudent55
Why don't you reduce the 2/8 fraction first?
mathstudent55
  • mathstudent55
\(\dfrac{1}{4}x = \dfrac{3}{4}x - 6 \)
mathstudent55
  • mathstudent55
Now the fractions have a common denominator. Now you can subtract (3/4)x over to the left side.
valiyuh
  • valiyuh
it gave me -2x=-6?
mathstudent55
  • mathstudent55
What happened to the denominator of 4? You subtracted 1/4 - 3/4, not 1 - 3.
mathstudent55
  • mathstudent55
\(\dfrac{1}{4}x - \dfrac{3}{4}x = - 6 \) \(-\dfrac{2}{4}x = - 6 \)
valiyuh
  • valiyuh
oh okay i see and from there i cancel the -2/4x and take it to the other side having -6/-2/4 right?
mathstudent55
  • mathstudent55
Now you multiply both sides by -4/2.
mathstudent55
  • mathstudent55
\( -\dfrac{4}{2}\left( -\dfrac{2}{4}x \right) = -\dfrac{4}{2}(- 6) \)
mathstudent55
  • mathstudent55
Did you get an answer for x?
valiyuh
  • valiyuh
12?
mathstudent55
  • mathstudent55
Correct.
mathstudent55
  • mathstudent55
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.
valiyuh
  • valiyuh
yes thats correct.
mathstudent55
  • mathstudent55
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?
valiyuh
  • valiyuh
1.5?
mathstudent55
  • mathstudent55
Yes. MK = 12/8 = 1.5
mathstudent55
  • mathstudent55
You got it! Great job.
valiyuh
  • valiyuh
Thank you so much you really helped me !(:
mathstudent55
  • mathstudent55
You are very welcome.

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