Respuesta :

TaeKwonDoIsDead

Answer:

LM = 23 units

Step-by-step explanation:

triangle KLN and triangle MLN are congruent.

The segment LM is equal to segment LK.

Also, MN is same as KN, thus we can write:

[tex]MN=KN\\25=14x-3\\25+3=14x\\28=14x\\x=2[/tex]

Since, x = 2, we can get the side length LM:

[tex]LM=LK=9x+5\\LM=LK=9(2)+5\\LM=23[/tex]

Hence, LM = 23 units

imlittlestar

Answer:

LM = 23 units

Step-by-step explanation:

From figure we can see an isosceles triangle KNM

KN = NM

NL is the perpendicular from N to KM,

Therefore KL = LM

To find the value of x

From figure we can write,

14x - 3 = 25

14x = 25 + 3 = 28

x = 28/14 = 2

To find LM

LM = KL

we have KL = 9x + 5

Therefore LM = 9x + 5 = (9 * 2) + 5  = 23 units

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