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EE410 Lecture 2: Transmission Line Sample Problems

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Batangas State University
Department
Engineering
Course
EE410
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Related Questions

Implement the following multiple output combinational logic circuit using a 4 line to

16-line decoder: F1= ∑m (0, 1, 4, 7, 12, 14, 15) F3= ∑m (2, 3, 7, 8, 10)

 F2= ∑m (1, 3, 6, 9, 12) F4= ∑m (1, 3, 5)

Given: In triangle ABC, m A=6 x-10, m B=2 x, and m C=8 x-2.
Prove: x=12
 
Statement:                                  Reason:
1. m A = 6x - 10                                      1. Given
2. m B = 2                                            2. Given
3. m C = 8x - 2                                     3. Given
4. m A + m B + m C = 180                4. Triangle Angle
5. 6x - 10 + 2x + 8x - 2 = 180                   5. [?]                                
6. 16x - 12 = 180                                     6. Algebra
7. 16x = 192                                            7. Addition
8. x = 12                                                 8. Property
 
Select the reason that best supports Statement 5 in the given proof.
A. Division Property of Equality
B. Transitive Property
C. Reflexive Property
D. Substitution
Given: 1 and 2 are vertical angles.
m 1 = 5(x+12), and m 2 = 145
 
Prove: x = 17
      Statement:                                     Reason:
1. 1 and 2 are vertical angles                   1. Given
2. m 1 = m 2                           2. Definition of vertical angles
3. m 1= 5 (x+12)                   3. Given
4. m 1= 5x+60                      4. [?]
5.  m 1 = 145                              5. Given
6. 5x+60 = 145                          6.Distributive Property
7. 5x = 85                                    7. Subtraction Equality of Property
8. x = 17                                         8. 
 
Select the reason that best supports Statement 8 in the given proof.
A. Subtraction Property of Equality
B. Distributive Property 
C. Transitive Property
D. Division Property of Equality