Answer:
LK = 38
Step-by-step explanation:
MN is the midsegment, and the midsegment is the average length of the top and bottom, so:

solve for LK:


Answer: The domain of (f•g)(x) is all real numbers except for 0

First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).
x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side
A = (1/2)(32) (60) = 960 mm²