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Is greater than 2
is less than 2
is equal to 2
none of the above
Answers
Step-by-step explanation:
Without doing the exact computation, you can see that 54 percent of 360 is greater than One half of 360, which is 180, and 180 is greater than Quantity B, 150. Thus the correct answer is Choice A, Quantity A is greater.
Figure 1
The figure shows triangle PQR, where P is the leftmost vertex of the horizontal side PR and vertex Q is above PR. Point S lies on horizontal side PR. Point S appears to be the midpoint of PR. Line segment QS is drawn from vertex Q to point S. The lengths of PS and SR appear to be equal. It is given that PQ = PR.
Quantity A Quantity B
PS SR
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Explanation
From Figure 1, you know that PQR is a triangle and that point S is between points P and R, so PS is less than PR. and SR is less than PR. You are also given that PQ is equal to PR. However, this information is not sufficient to compare PS and SR. Furthermore, because the figure is not necessarily drawn to scale, you cannot determine the relative sizes of PS and SR visually from the figure, though they may appear to be equal. The position of S can vary along side PR anywhere between P and R. Following are two possible variations of Figure 1, each of which is drawn to be consistent with the information PQ is equal to PR.
Figure 2
Figure 3
The figure shows triangle PQR, where P is the leftmost vertex of the horizontal side PR and vertex Q is above PR. Point S lies on horizontal side PR. S appears to be closer to R than to P and the length of PS appears to be greater than the length of SR. The figure shows triangle PQR, where P is the leftmost vertex of the horizontal side PR and vertex Q is above PR. Point S lies on horizontal side PR. S appears to be closer to P than to R and the length of PS appears to be less than the length of SR
Note that Quantity A is greater in Figure 2 and Quantity B is greater in Figure 3. Thus the correct answer is Choice D, the relationship cannot be determined from the information given.
y = 2 times the square of x + 7x, minus 3
Quantity A Quantity B
x y
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.