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

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mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0What does segment bisector mean?

valiyuh
 3 years ago
Best ResponseYou've already chosen the best response.1its a line that divides a segment in half?

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

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1377144056587:dw

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

valiyuh
 3 years ago
Best ResponseYou've already chosen the best response.1Well 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
 3 years ago
Best ResponseYou've already chosen the best response.0Good. dw:1377144680791:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Form the figure you see that JM + MK = JK, right?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Great. 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
 3 years ago
Best ResponseYou've already chosen the best response.11/8x + 1/8x = 3/4x6 like this?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Exactly. That is the equation you must solve now to find x.

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

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

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

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

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Why don't you reduce the 2/8 fraction first?

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

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

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

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

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

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Now you multiply both sides by 4/2.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0\( \dfrac{4}{2}\left( \dfrac{2}{4}x \right) = \dfrac{4}{2}( 6) \)

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Did you get an answer for x?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0After 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.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Above, 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?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Yes. MK = 12/8 = 1.5

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0You got it! Great job.

valiyuh
 3 years ago
Best ResponseYou've already chosen the best response.1Thank you so much you really helped me !(:

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0You are very welcome.
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