a triangle has dimensions of 9 cm 4 cm and 7 cm th 7986528
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ATI TEAS 7

TEAS Test Practice Math

1. A triangle has dimensions of 9 cm, 4 cm, and 7 cm. The triangle is reduced by a scale factor of x. Which of the following represents the dimensions of the dilated triangle?

Correct answer: C

Rationale: When reducing a figure by a scale factor, each dimension is multiplied by the same scale factor. In this case, the scale factor is not provided in the question. To find the scale factor, you would divide the new lengths of the sides by the original lengths. The scaled-down triangle's dimensions are the original dimensions multiplied by the scale factor. By performing the calculations, the dimensions of the dilated triangle are 6.75 cm, 3 cm, and 5.25 cm, which matches choice C. Choices A, B, and D have incorrect dimensions as they do not result from the correct application of the scale factor to the original triangle's dimensions.

2. The connection caused an insatiable curiosity within Helen. What does the word 'engendered' mean as used in this sentence?

Correct answer: A

Rationale: The word 'engendered' in this context means to cause something to come into existence or to bring about. In the sentence, it indicates that the connection sparked an insatiable curiosity within Helen, suggesting that it created or triggered this strong curiosity in her. Choice B, 'Made sense of,' is incorrect as 'engendered' does not imply making sense of something. Choice C, 'Connected,' is incorrect as 'engendered' goes beyond just establishing a connection, it means to cause or produce. Choice D, 'Satisfied,' is incorrect as 'engendered' does not mean satisfied, but rather initiating or creating something.

3. On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance in miles?

Correct answer: A

Rationale: To find the actual distance in miles, you need to set up a proportion using the scale provided (1 inch = 45 miles). Since the distance on the map is 3.2 inches, you can set up the proportion: 1 inch / 45 miles = 3.2 inches / x miles. Cross-multiply to solve for x: 1 * x = 45 * 3.2, x = 144. Therefore, the actual distance in miles is 144. Choices B, C, and D are incorrect because they do not accurately calculate the actual distance using the scale provided.

4. How many yards are in one mile?

Correct answer: A

Rationale: The correct answer is A: 1760 yards. There are 1760 yards in one mile. This conversion is a standard unit of measurement in the imperial system. Choice B, 1500 yards, is incorrect as it is not the correct conversion from miles to yards. Choice C, 2000 yards, is also incorrect as it does not represent the accurate conversion. Choice D, 1800 yards, is incorrect as it does not reflect the correct number of yards in a mile according to the established conversion rate.

5. Which of the following stimulates adaptive immunity?

Correct answer: C

Rationale: The correct answer is C: Prions. Prions are infectious proteins that can stimulate an adaptive immune response by triggering the production of specific antibodies. Peptides are fragments of proteins and can be processed and presented by antigen-presenting cells to activate T cells, which play a role in adaptive immunity. Phagocytes, such as macrophages, are part of the innate immune system and are involved in engulfing and destroying pathogens, but they do not directly stimulate adaptive immunity. Platelets are primarily involved in blood clotting and are not directly related to stimulating adaptive immunity.

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