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WITCHER [35]
2 years ago
15

2. Determine the value of x for which r ∥ s if m∠1 = 20 – 8x; and m∠2 = 30 – 16x.

Mathematics
1 answer:
slava [35]2 years ago
3 0
Judging by the answer choices, you require ∠1 = ∠2 for the lines to be parallel. That means
  20 - 8x = 30 - 16x
  8x = 10 . . . . . . . . . . . add 16x-20
  x = 10/8 = 1.25

The appropriate choice is
  b. 1.25
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Answer:

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Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

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                                                              = 4x square feet

Area of rectangle 2 = Length × Width

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x = \frac{48}{8}

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