contestada

HELP ASAP !!!! the points K,L,M and N all lie on the same line segment, in that order, such that the ratio of KL : LM : MN is equal to 4 : 3 : 4. if KN = 33, find MN

HELP ASAP the points KLM and N all lie on the same line segment in that order such that the ratio of KL LM MN is equal to 4 3 4 if KN 33 find MN class=

Respuesta :

akposevictor

Answer:

[tex] MN = 12 [/tex]

Step-by-step explanation:

Given that points K, L, M, and N are collinear, and the ratio of the segments, KL:LM:MN = 4:3:4, we can find the lenght of MN as follows, since we are also given the total lenght of the whole segment, KN = 33.

Length of MN = the individual ratio value of MN ÷ the total ratio value of the 3 segments × lenght of the whole segment

Individual ratio value of MN = 4

Total ratio value = 4 + 3 + 4 = 11

Length of whole segment, KN = 33

[tex] MN = \frac{4}{11}*33 [/tex]

[tex] MN = 4*3 [/tex]

[tex] MN = 12 [/tex]

Otras preguntas