Let's break this down step by step to find the value of kn:
1.Since jk = kl = Im, we can say jk =
kI = Im = 4 (as km = 4).
2. Since jk = kl = Im, each of these
segments is 4 units long.
3. Now, we know that km = 4, so m
must be 4 units away from k.
4. Also, we know that m is between k and n, and m is 4 units away from
k. Therefore, n must be 4 units
away from m, making mn = 4.
5. Given jn = 14 and jm = 4 + 4 = 8,
we can find jn - jm = 14 - 8 = 6. So,
jn - jm = nm = 6.
6. Since nm = 6 and mn = 4, the
total length from n to j is 6 + 4 = 10
units.
7. Therefore, kn = km + mn = 4 + 6
= 10.