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anonymous
 one year ago
Find the x value for point L such that JL and KL form a 3:1 ratio.
A. 5.25
B. 2.33
C. 2.25
D. 4.33
anonymous
 one year ago
Find the x value for point L such that JL and KL form a 3:1 ratio. A. 5.25 B. 2.33 C. 2.25 D. 4.33

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439400000835:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We place L on the segment, between J and K, in a way that JL = 3KL Ok so far?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we need to find the xcoordinate of point L.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is our original graph again. dw:1439400224309:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since point L creates a ratio of 3:1 for JL to KL, and 3 + 1 = 4, then point L is 1/4 of the way from K to J. Ok with this?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The xcoordinate of point L is the same as the xcoordinate of the point below it on a horizontal line going from K to the xcoordinate of J. See figure below. dw:1439400776719:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Just like KL is 1/4 of KJ, so KL' is also 1/4 of KJ'.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439400914014:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We need to find the xcoordinate of point L'. The xcoordinate of point L is the same.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439400979255:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439401009408:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Along the horizontal line J'K, it's easy to see that the distance from J' to K is 7. Also, we know that from J to L it's 3/4 of the way from J to K. So from J' to L' it is 3/4 of the distance of J' to K. Since the distance from J' to K is 7, the distance from J' to L' is 3/4 * 7 = 5.25

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much! you helped me a lot!

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439401248977:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Finally, we add 5.25 to the xcoordinate of J' to get: 5.25 + 3 = 2.25

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you help me with another one please?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1pls start a new post
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