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Alekssandra [29.7K]
4 years ago
7

If angles 1 and 2 are supplementary which lines are parallel?

Mathematics
1 answer:
k0ka [10]4 years ago
5 0

Answer:

  2.  j, k

  3.  s, r

Step-by-step explanation:

In each figure, the shared side of the angles of interest is the transversal. The lines it crosses are the parallel lines.

2.  ∠1 and ∠2 are same-side interior angles with respect to transversal h and parallel lines j and k.

__

3. ∠9 and ∠10 are alternate exterior angles with respect to transversal j and parallel lines s and r.

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As consecutive odd numbers differ by two (example: 3, 5, 7), the first odd number can be expressed as 2n + 1, the next can be found by adding two to the first to get 2n + 1 + 2 which simplifies to 2n + 3. Finally the expression for the third consecutive odd integer can be found by adding two to the previous, 2n + 3, to get 2n + 5.  Adding these three together and setting them equal to your sum gets the equation

 2n + 1 + 2n + 3 + 2n + 5 = 63

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3 years ago
Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to
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Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

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\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24

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3 years ago
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