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Marianna [84]
3 years ago
13

Line an is parallel to cd. LRB IS (3x-2) and RSC IS (2x-5) find RSC in degrees

Mathematics
1 answer:
spayn [35]3 years ago
6 0

∠LRB = 3x-2

∠RSC = 2x-5

∠LRB AND ∠RSC are alternate angles, so their sum is equal to 180°.

∴ (3x-2) + (2x-5) = 180

3x - 2 + 2x - 5 = 180

5x - 7 = 180

5x = 180 - 7

5x = 173

x = \frac{173}{5}

∴ ∠RSC = 2(\frac{173}{5}) -5

= 64.2°

∠CSK = ∠RSC ( vertically opposite angles are equal)

∴∠CSK =  64.2°

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The system if equation that can be used to derive this are

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The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .

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