Question

If km = 67 what is LM

Answer 1

Answer:

LM = 28 units

Step-by-step explanation:

Length of segment KL = (4x + 7) units

Length of segment LM = (5x - 12) units

Length of LM = 67 units

Since length of KM = length of KL + length of LM

By substituting the given values in the expression,

67 = (4x + 7) + (5x - 12)

67 = (4x + 5x) + (7 - 12)

67 = 9x - 5

9x = 67 + 5

x = $\frac{72}{9}$

x = 8

Therefore,

LM = (5x - 12)

     = (5×8) - 12

     = 40 - 12

     = 28

Length of segment KM is 28 units.