Answer:
C ) 48
Explanation:
To begin, you have to figure out which angles correspond on the two triangles.
So here are the angles that correspond:
U = N
T = M
S = L
So, ST would be similar to LM so 32 and 8 will be similar.
And UT will be similar to NM so the missing length and 12 are similar.
To begin, find out the scale factor by dividing 32 by 8 to get 4.
Then, multiply 12 by 4 to get 48 for the missing length.