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4 years ago

One of two complementary angles is 8 degrees less than the other.

Mathematics

2 answers:

Ksenya-84 [330]4 years ago

5 0

Answer: The correct option is

$(A)~~x+y=90,~~x-y=8.$

Step-by-step explanation: Given that one of the two complementary angles is 8 degrees less than the other.

We are to select the correct system of equations represents the given word problem.

Let x and y represents the two complementary angles where y is less than x.

Since one angle is 8 degrees less than the other and y is less than x, so we have

$x-y=8.$

We know that the sum of two complementary angles is 90 degrees, so we get

$x+y=90.$

Thus, the required system of equations representing the given word problem will be

$x+y=90,\\\\x-y=8.$

Option (A) is CORRECT.

Ronch [10]4 years ago

3 0

I think it is the middle one becuase complimentary angles add up to 90 degrees and if one is 8 less than the other it would be proved like that.

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Step-by-step explanation:

see the attached figure to better understand the problem

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