Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
- Let 'x' be the degree measure of the first angle.
Given that the degree measure of one of two complementary angles is twice that of the other.
- Thus, the other angle = 2x
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<em><u>Complementary angles</u></em>
- We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.
Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
Given:
The sum of 8 and B is greater than 22.
To find:
The inequality for the given statement and its solution.
Solution:
We know that, sum of two number is the addition of two numbers.
Sum of 8 and B = 8+B
It is given that, the sum of 8 and B is greater than 22.
Subtracting 8 from both sides, we get
Therefore, the required inequality for the given statement is and the solution is .
Answer:
It has a minimum of -3 and a unkown maximum
Step-by-step explanation:
9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
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<em>Check</em>
- 1/8 = 0.125
- 5/42 ≈ 0.119
- 5/44 ≈ 0.114
- 5/46 ≈ 0.109
- 5/48 ≈ 0.104
- 1/10 = 0.100
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<em>Additional comment</em>
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
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Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
To get y you can move the x's to one side, so 120y=500-35x
then you can isolate the y, y= 500/120-35x/120
:)
