The value of the length DF is 17
<h3>How to determine the length DF?</h3>
The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.
So, we have:
AB = AD
AC = A F
BC = DF
Given that BC = 17;
The equation BC = DF becomes
17 = DF
Rewrite as:
DF = 17
Hence, the value of the length DF is 17
Read more about congruent triangles at:
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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.
 
        
             
        
        
        
Answer:
I see no picture 
Step-by-step explanation:
 
        
             
        
        
        
Answer :
x = 2.8
Hope this helps!