9514 1404 393
Answer:
   WX = 33
   (x, y) = (2, 10)
Step-by-step explanation:
The hash marks tell you WX is a midline, so has the measure of the average of the two bases.
   WX = (PQ +SR)/2 = (27 +39)/2 = 66/2
   WX = 33
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The hash marks also tell you ...
   PW = WS
   y +4x = 18 . . . . . . substitute the given expressions
and also
   QX = XR
   2y +x = 22 . . . . . substitute the given expressions
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If you solve the first equation for y, you get ...
   y = 18 -4x
Substituting that into the second equation gives ...
   2(18-4x) +x = 22
   36 -7x = 22 . . . . . . . simplify
   14 = 7x . . . . . . . . . . . add 7x-22 to both sides
   2 = x . . . . . . . . . . . . divide by 7
   y = 18 -4(2) = 10 . . . find y using the above relation
The values of x and y are 2 and 10, respectively.
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My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.
 
        
             
        
        
        
Answer:
(B) 
4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)
Step-by-step explanation:
4(c-4)^2=72
4(c-4)(c-4)=72
foil the parenthesis (first, outside, inside, last)
4(c^2 -4c -4c +16)=72
4(c^2-8c+16)=72
divide each side by 4
c^2-8c+16=18
subtract 18 from both sides
c^2-8c-2
use quadratic formula
((-b +/- sqrt((-b^2)-4ac)))/2a
((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))
(8+/-sqrt(64-(-8)))/2
(8+/-sqrt(64+8))/2
(8+/-sqrt(72))/2
(8+/-sqrt(36 * 2))/2
(8+/-6sqrt(2))/2
4+/-3sqrt(2)
or 4+3sqrt(2) and 4-3sqrt(2)
 
        
             
        
        
        
Answer:
The first one/$9 an hour job.
Step-by-step explanation:
For every 32 hours he works at the $9 per hour job he makes $288.
On the other hand, for every 32 hours he works at the $7 per hour job he only makes $224.
So the only one that'll work where he gets at least $251 is the $9 an hour job.
<u>Hope this helps and have a nice day!</u>
 
        
             
        
        
        
Answer:
73.8º
Step-by-step explanation:
96.5-22.7=
73.8º
 
        
                    
             
        
        
        
Answer:
The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8
Step-by-step explanation: