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valiyuh
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m is the segment bisector of segment JK . JM= 1/8x , and JK= 3/4x6 . How do i find MK? Help?
 11 months ago
 11 months ago
valiyuh Group Title
m is the segment bisector of segment JK . JM= 1/8x , and JK= 3/4x6 . How do i find MK? Help?
 11 months ago
 11 months ago

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mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
What does segment bisector mean?
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
its a line that divides a segment in half?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Right. In this case, I think M is simply a point, but it still cuts the segment JK into two congruent segments.
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
dw:1377144056587:dw
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Ok?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Since M is a bisector, what do you know about the length of JM and the length of KM?
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
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
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Good. dw:1377144680791:dw
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Form the figure you see that JM + MK = JK, right?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
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
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
1/8x + 1/8x = 3/4x6 like this?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Exactly. That is the equation you must solve now to find x.
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
\( \dfrac{1}{8}x + \dfrac{1}{8}x = \dfrac{3}{4}x  6\) Solve for x.
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
This is the part were im getting confused? Do i add both 1/8x to get 2/8x? or am i wrong?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Yes, you are correct. \(\dfrac{2}{8}x = \dfrac{3}{4}x  6 \) The fraction on the left can be reduced.
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
alright so now i subtract the 3/4 to the other side so now its 2/8  3/4?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Why don't you reduce the 2/8 fraction first?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
\(\dfrac{1}{4}x = \dfrac{3}{4}x  6 \)
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Now the fractions have a common denominator. Now you can subtract (3/4)x over to the left side.
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
it gave me 2x=6?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
What happened to the denominator of 4? You subtracted 1/4  3/4, not 1  3.
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
\(\dfrac{1}{4}x  \dfrac{3}{4}x =  6 \) \(\dfrac{2}{4}x =  6 \)
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
oh okay i see and from there i cancel the 2/4x and take it to the other side having 6/2/4 right?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Now you multiply both sides by 4/2.
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
\( \dfrac{4}{2}\left( \dfrac{2}{4}x \right) = \dfrac{4}{2}( 6) \)
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Did you get an answer for x?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Correct.
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
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.
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
yes thats correct.
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
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?
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
Yes. MK = 12/8 = 1.5
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
You got it! Great job.
 11 months ago

valiyuh Group TitleBest ResponseYou've already chosen the best response.1
Thank you so much you really helped me !(:
 11 months ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.0
You are very welcome.
 11 months ago
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