Regular exercise leads to improved health.

Regular exercise leads to weight loss.

Regular exercise leads to improved health.

Facing east and turning 90 degrees left means facing north. Turning 180 degrees right from north means facing south.

Turning 90 degrees left from east faces north, then turning 180 degrees right from north faces south.

Turning 90 degrees right from North faces East, then turning 180 degrees left from East faces South.

Using the Pythagorean theorem, the distance is √(5^2 + 5^2) = √50 = 7.07 km.

Using the Pythagorean theorem, the distance is √(5^2 + 5^2) = √50 = 7.5 km.

The person ends up 2 km north and 3 km east of the starting point. Using the Pythagorean theorem, the shortest distance is √(2^2 + 3^2) = √13, which is approximately 3.6 km.

The person ends up 3 km east of the starting point after walking 5 km south.

The person returns to the starting point after walking in a triangular path, so the distance from the starting point is 0 km.

Lack of sunlight causes the plant to wilt.

Lack of sunlight causes the plant to wilt.

Receiving sunlight causes the plant to grow better.

Studying hard increases the likelihood of passing the exam.

Studying hard results in passing the exam.

Studying hard typically leads to passing the exam.

In 2 hours, the first train travels 120 km (60 km/h * 2) and the second train travels 160 km (80 km/h * 2). The total distance apart is 120 km + 160 km = 280 km.

In 2 hours, the first train travels 120 miles and the second train travels 160 miles, making them 280 miles apart.

Since penguins are a type of bird and not all birds can fly, it follows that no penguins can fly.

The statements do not provide a direct relationship between cats and dogs.

Since all cats are animals and some animals are not dogs, it follows that those cats that are part of the animals that are not dogs can be concluded as not being dogs.

The information does not allow us to conclude anything about cats being pets.

The information does not allow us to conclude that some cats are not dogs, as the relationship is not definitive.

Since all cats are mammals and some mammals are not dogs, it follows that some cats must also not be dogs.

Since all cats are mammals and some mammals are not dogs, it follows that some cats cannot be dogs.

The statement does not provide enough information to conclude that any roses specifically fade quickly.

Since not all flowers are roses, it is possible that some flowers are not roses.

The information does not allow us to conclude anything about squares being blue.

The information does not allow us to conclude that some squares are not blue.