Answer:
If she walked 3.5 miles in 1.4 hours, then her pace was:
3.5 miles / 1.4 hours = 2.5 miles/hour
Step-by-step explanation:
To get her pace in miles per hour, you take the number of miles and divide by the number of hours.
Answer:
Well, I'm not sure what you mean but Ptolemy's Theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. Ptolemy's Theorem frequently shows up as an intermediate step in problems involving inscribed figures.
The answer is 36 units squared
First we need to find the slope of line k. Using the slope formula, we fill in accordingly:

. The slope is -3/2. The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3). You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals. The slope you're looking for is 2/3. Choice 3 above.