Answer
x-19=27 
Step-by-step explanation:
 
        
             
        
        
        
Answer:
$3,000
Step-by-step explanation:
There two possible outcomes:
There is a 3/4 chance that the bid is rejected for a value of -$1,400
There is a 1/4 chance that the bid is accepted for a value of $17,600 - $1,400.
The expected value of the situation is:

The expected value is $3,000.
 
        
             
        
        
        
Answer:
$4
Step-by-step explanation:
12÷4=3
20÷4=5
56÷4=14
 
        
             
        
        
        
9514 1404 393
Answer:
   (i) x° = 70°, y° = 20°
   (ii) ∠BAC ≈ 50.2°
   (iii) 120
   (iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
   x = 70
The angle marked y° is the supplement to the one marked 160°.
   y = 20
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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
   tan(∠BAC) = BC/BA = 120/100 = 1.2
   ∠BAC = arctan(1.2) ≈ 50.2°
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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
   bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
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(iv) The bearing of A from C is 180 added to the bearing of C from A: 
   120 +180 = 300
 The three-digit bearing of A from C is 300.