Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x. 
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
 
        
             
        
        
        
Answer:
   none of the above
Step-by-step explanation:
You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.
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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...
   y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given points, we get ...
   y = (3 -1)/(2 -4)·(x -4) +1
   y = 2/(-2)(x -4) +1 . . . . . simplify a bit
   y = -x +4 +1 . . . . . . . . . simplify more
   y = -x +5 . . . . . . . . . . . slope-intercept form
 
        
             
        
        
        
Answer:
Step-by-step explanation:
so basically you have to look for the opposite side of what they give you. then just plot it in
 
        
             
        
        
        
3(2)-18=-12 
6-18 = -12
-12 = -12