LO bisects LN LM, LM = 18, NO = 4, and LN = 10. What is the value of x? (2 points)
First, we can set up a proportion using the lengths of the segments:
LM / NO = LN / LO
18 / 4 = 10 / LO
Cross multiply to solve for LO:
18 * LO = 4 * 10
18LO = 40
LO = 40 / 18
LO = 20 / 9
Since LO bisects LN, we can set up another proportion to solve for x:
LO / NO = LN / MO
(20/9) / 4 = 10 / x
(20/9) * 4 = 10x
80/9 = 10x
x = (80/9) / 10
x = (80/9) / (90/9)
x = 80 / 90
x = 8 / 9
Therefore, the value of x is 8/9.