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Gnoma [55]
2 years ago
6

15 points!!!

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
6 0

Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

\frac{1}{1}\neq \frac{1}{2}

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

Ivan2 years ago
6 0

Answer:

There is no dilation transforming triangle I into triangle II.

Step-by-step explanation:

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Option D) ∠B ≅ ∠D

Step-by-step explanation:

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Answer:

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

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Conditional Probability

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P(A \cap B) is the probability of both A and B happening.

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In this question:

Event A: Has diabetes.

Event B: Is very active.

Probability of having diabetes:

To find this probability, we take in consideration that:

It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.

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P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

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