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Maurinko [17]
3 years ago
8

А A B D If m_ABD = 64°, and mZCBD = 30°, then m ABC = [?]°

Mathematics
2 answers:
katovenus [111]3 years ago
8 0

9514 1404 393

Answer:

  34°

Step-by-step explanation:

It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)

  ∠ABC + ∠CBD = ∠ABD

  ∠ABC + 30° = 64°

  ∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation

Zina [86]3 years ago
5 0

Answer:

34 degrees

Step-by-step explanation:

If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)

Step 1.CBD + ABC = ABD

Step 2. Substitute

30 + ABC = 64

Step 3. Isolate ABC

34 = ABC

ABC is 34 degrees

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Given:  3y = 3/2 x + 6 ; Multiply each side by "2" ; to get rid of the fraction

              2 * { 3y = 3/2 x + 6 } ;  to get:  6y = 3x + 12 

           
Given:  1/2 y –1/4 x = 3 ;  Multiply EACH SIDE by "4" ; to get rid of the fraction ;


            4 * { 1/2 y – 1/4 x = 3 } ;  to get:  2y – x = 12 ;
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So we have:

6y = 3x + 12 ;

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Now, add "2y" to each side of the equation;  
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Answer:

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Step-by-step explanation:

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