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just olya [345]
3 years ago
11

The question is attached

Mathematics
1 answer:
Nady [450]3 years ago
8 0

9514 1404 393

Answer:

  • x = -15
  • GH = 6

Step-by-step explanation:

The midline is half the length of the parallel base.

  2(2x +36) = 3x +57

  4x +72 = 3x +57 . . . . . . eliminate parentheses

  x = -15 . . . . . . . . . . subtract 72+3x from both sides

Then the length of GH is ...

  GH = 2x +36 = 2(-15) +36 = -30 +36

  GH = 6

_____

The calculation steps are shown above. The strategy is to take advantage of the relation between the lengths of a midline and the corresponding base segment.

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What is the solution the the following system of equations:
valentina_108 [34]

Answer:

The solution is (-2, 5, 3)

Step-by-step explanation:

2x + 3y - 4z = -1

2(-2) + 3(5) - 4(3) = -1

-4 + 15 - 12 = -1

-16 + 15 = -1

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x - 2y + 5z = 3

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2x + 3y - 4z = -1

2(-3.6) + 3(0.2) - 4(1.4) = -1

-7.2 + 0.6 - 5.6 = -1

-12.8 + 0.6 = -1

-12.2 = -1

x - 2y + 5z = 3

-3.6 - 2(0.2) + 5(1.4) = 3

-3.6 -0.4 + 7 = 3

-4 + 7 = 3

3 = 3

-4x + y + z = 16

-4(-3.6) + 0.2 + 1.4 = 16

14.4 + 0.2 + 1.4 = 16

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2x + 3y - 4z = -1

2(2) + 3(5) - 4(-3) = -1

4 + 15 + 12 = -1

31 = -1

x - 2y + 5z = 3

2 - 2(5) + 5(-3) = 3

2 - 10 - 15 = 3

2 - 15 = 3

13 = 3

-4x + y + z = 16

-4(2) + 5 + -3 = 16

-8 + 5 - 3 = 16

-11 + 5 = 16

-6 = 16

(2, 5, -3) is not a solution.

2x + 3y - 4z = -1

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-21 + 20 = -1

-1 = -1

x - 2y + 5z = 3

4 - 2(-7) + 5(-3) = 3

4 + 14 - 15 = 3

18 - 15 = 3

3 = 3

-4x + y + z = 16

-4(4) - 7 - 3 = 16

-16 - 7 - 3 = 16

-26 = 16

(4, -7, -3) is not a solution.

3 0
3 years ago
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