Triangles JKL and PML are similar.
Corresponding sides are
JK and PM, or x and PM,
KL and ML,
LJ and LP.
Ratios of the corresponding sides should be the same.
JK/PM =LJ/LP
x/12 = 4/6
x=12*4/6=8
x=8
ΔJKL is similar to ΔPML
⇒ JK/PM = JL/PL
.
<u>Solve x:</u>
6x = 48
x = 8
Answer: x = 8
The answer to the question is <u><em>9</em></u>