Answer:
KM=40
Step-by-step explanation:
The ratio of KP/PK is equal to the ratio of LK/LM (due to the Intercept Theorem)
10/40=KL/32
you can simplify 10/40 as 1/4
so
1/4=KL/32
32=4KL
8=KL
Yet, the question asks for KM, which is KL+LM (Via Parts Whole Postulate)
Since LM is given as 32, KM is 8+32=40.
