Answer: LM = 23
Step-by-step explanation:
Solve the algebraic equations:
Line KN: (solve for x)

move the 3 to the other side with addition

divide by 14 to get x by itself

Now that we have x we can find line KL:

So we now know that KL is 23 units. And we know that KL = LM
Answer:
x= 12 units.
Step-by-step explanation:
To solve this equation, we can find each half of the base using the Pythagorean theorem. We will use 'x' as denoting each HALF of the base:
45= 3²+x²
Subtracting from both sides will give us:
36= x²
x=6.
However, the base in this problem is '2x' because 'x' is HALF of the base.
2(6)= 12 units.
Answer:
There are 1716 ways the three positions can be filled by these applicants.
Step-by-step explanation:
Permutation is the number of arrangement of <em>k</em> items from <em>n</em> distinct items.

For example, permutation can be used to compute the number of ways to arrange 4 mathematics books together when arranging all the 7 books on a shelf.
In this case there are 3 available nursing positions to be filled.
A total of 13 candidates are qualified for all the three positions.
Then the number of ways the 3 positions can be filled by the 13 candidates can be determine using permutation.
Compute the possible number of selections as follows:

Thus, there are 1716 ways the three positions can be filled by these applicants.
Yes x y 1.24 b to the point of a game that is a little hard to get x y to the point