The measures of two angles have a sum of 90degrees. The measures of the angles are in a ratio of 2:1, how do you determine the measures of both angles?
The smaller angle is 30 degrees and the second angle being twice as large is 60 degrees.
We can write the following since we know the sum of these two angles is 90:
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Let x represent the measure of the larger angle and y represent the measure of the smaller angle. Since the angles have a sum of 90 degrees and are in a ratio of 2:1, we can set up the equation: 2x + y = 90. Since the ratio is 2:1, we can write y = (1/2)x. Substitute y with (1/2)x in the equation 2x + y = 90. Solve for x: 2x + (1/2)x = 90. Simplify the equation: (5/2)x = 90. Solve for x: x = (90 * 2) / 5. x = 36. Then, find the value of y using y = (1/2)x. y = (1/2) * 36 = 18. Therefore, the larger angle measures 36 degrees and the smaller angle measures 18 degrees.
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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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