Final answer:
To find the value of x in KLM, we can set KL equal to LM and solve the equation for x. The value of x in KLM is 3/2.
Step-by-step explanation:
To find the value of x in KLM, we can use the information given about the lengths of the sides KL, LM, and KM. From the given information:
KL = 9x - 40
LM = 7x - 37
KM = 3x + 23
Since K is equal to L, we can set KL equal to LM:
9x - 40 = 7x - 37
Next, we can solve this equation for x:
9x - 7x = -37 + 40
2x = 3
x = 3/2
Therefore, the value of x in KLM is 3/2.