Question

section 1.2
i can use the segment addition postulate.

1. point l is on the line segment km. given km = 7x - 8, lm = 3x, and kl = 2x, find the value of x and the measures of each segment

Explanation:

Step1: Apply segment addition postulate

$KL+LM = KM$

Step2: Substitute given expressions

$2x + 3x=7x - 8$

Step3: Combine like - terms

$5x=7x - 8$

Step4: Move terms with $x$ to one side

$7x-5x = 8$

Step5: Solve for $x$

$2x = 8$, so $x = 4$

Step6: Find length of $LM$

$LM = 3x=3\times4 = 12$

Step7: Find length of $KL$

$KL = 2x=2\times4 = 8$

Step8: Find length of $KM$

$KM = 7x - 8=7\times4 - 8=28 - 8 = 20$

Answer:

$x = 4$, $LM = 12$, $KL = 8$, $KM = 20$