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Which is greater x or 90
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30 May 2016, 05:17
30 May 2016, 05:17
4
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Question Stats:
62% (01:14) correct
37% (01:30) wrong based on 258 sessions
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Quantity A |
Quantity B |
x |
90 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Practice Questions
Question: 4
Page: 100
Question: 4
Page: 100
Re: Compare angle of a triangle
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30 May 2016, 05:21
30 May 2016, 05:21
7
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1
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Explanation
The figure looks like a right triangle with legs of length 5 + y and 12 – y and hypotenuse of length 13. If y = 0, then the sides of the triangle have lengths 5, 12, and 13. This triangle is in fact a right triangle because \(5^2 + 12^2 = 13^2\). So the angle labeled x° is a right angle; that is, x = 90. In this case, Quantity A is equal to Quantity B.
Now consider another value of y, say y = 1, to see if the triangle is still a right triangle in this case. If y = 1, then the sides of the triangle have lengths 6, 11, and 13. This triangle is not a right triangle because \(6^2 + 11^2\) not equal to \(13^2\). So the angle labeled x° is not a right angle; that is, x ≠ 90. In this
case, Quantity A is not equal to Quantity B.
Because Quantity A is equal to Quantity B in one case and Quantity A is not equal to Quantity B in another case, the correct answer is Choice D.
The figure looks like a right triangle with legs of length 5 + y and 12 – y and hypotenuse of length 13. If y = 0, then the sides of the triangle have lengths 5, 12, and 13. This triangle is in fact a right triangle because \(5^2 + 12^2 = 13^2\). So the angle labeled x° is a right angle; that is, x = 90. In this case, Quantity A is equal to Quantity B.
Now consider another value of y, say y = 1, to see if the triangle is still a right triangle in this case. If y = 1, then the sides of the triangle have lengths 6, 11, and 13. This triangle is not a right triangle because \(6^2 + 11^2\) not equal to \(13^2\). So the angle labeled x° is not a right angle; that is, x ≠ 90. In this
case, Quantity A is not equal to Quantity B.
Because Quantity A is equal to Quantity B in one case and Quantity A is not equal to Quantity B in another case, the correct answer is Choice D.
General Discussion
Re: Which is greater x or 90
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26 May 2020, 03:44
26 May 2020, 03:44
Imagine y=1
following this we try to see what we would get if assumed that x was 90 degrees.
we get 6ˆ2 + 11ˆ2-->a=12,52
Now let us assume the same scenario yet that y=11
16ˆ2 + 1ˆ2--->16,03
This leading to a comprehensive conclusion that we are unable to determine whether the given x is more or less than 90, since it can obviously vary, depending on the other sides
following this we try to see what we would get if assumed that x was 90 degrees.
we get 6ˆ2 + 11ˆ2-->a=12,52
Now let us assume the same scenario yet that y=11
16ˆ2 + 1ˆ2--->16,03
This leading to a comprehensive conclusion that we are unable to determine whether the given x is more or less than 90, since it can obviously vary, depending on the other sides
