Question

Point L is on line segment KM. Given LM = 3x + 3,

Answer 1

Answer:

KM = 4

Step-by-step explanation:

$LM = 3x + 3$

$KM = 5x + 4$

$KL = 5x + 1$

$KL + LM = KM$ (segment addition postulate)

$(5x + 1) + (3x + 3) = 5x + 4$ (substitution)

Solve for x

$5x + 1 + 3x + 3 = 5x + 4$

Combine like terms

$8x + 4 = 5x + 4$

$8x + 4 - 4 = 5x + 4 - 4$

$8x = 5x + 0$

$8x - 5x = 0$

$3x = 0$

$x = 0$

$KM = 5x + 4$

Plug in the value of x

$KM = 5(0) + 4$

$KM = 0 + 4 = 4$