One of two complementary angles is 8 degrees less than the other. What systems of equations represents the word problem?

Answer 1

#a + b = 90#

#b = a-8#

Let's let one angle be #a# and the other be #b#.
We know that complementary refers to two angles that sum up to #90^@#.
First, we know both angles must add up to #90^@#, which forms an equation: #a + b = 90#
We also know that one angle is #8# degrees less than the other. Let's say that's #b#. So #b = a - 8#
Therefore, the system of equations is: #a + b = 90#
#b = a-8#

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Answer 2

Let's denote one of the complementary angles as ( x ) degrees and the other as ( y ) degrees. Since they are complementary, their sum is 90 degrees.

The equation representing the fact that one angle is 8 degrees less than the other can be written as:

[ x = y - 8 ]

The equation representing the sum of the two angles being 90 degrees can be written as:

[ x + y = 90 ]

So, the system of equations representing the word problem is:

[ \begin{cases} x = y - 8 \ x + y = 90 \end{cases} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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