5) Create three congruent segments that have a length of \(\sqrt{50}\). The segments cannot be vertical or horizontal.
6) Find the endpoints of two segments that have the same midpoint at \((-9.3, 3.8)\)
7) Find the endpoints of two segments that have the same midpoint at \(\left(\dfrac{13}{5}, -\dfrac{4}{9}\right)\)
8) Find three times that the hour and minute hand are together after \(12:00\) to the nearest second.
9) Find two times that the hour and the minute hand form a right angle after \(3:00\) to the nearest second.
6) Find the endpoints of two segments that have the same midpoint at \((-9.3, 3.8)\)
7) Find the endpoints of two segments that have the same midpoint at \(\left(\dfrac{13}{5}, -\dfrac{4}{9}\right)\)
8) Find three times that the hour and minute hand are together after \(12:00\) to the nearest second.
9) Find two times that the hour and the minute hand form a right angle after \(3:00\) to the nearest second.
10) Kirsten, Audrey, and Kari are three sisters. If the following statements are all true, which of them is the youngest?
11) Merlin realizes that all Alakazams are Open Sesames, and some Hocus Pocuses are Alakazams. True or False: Some
Hocus Pocuses are Open Sesames? (From brilliant.org)
12) One of the women below is named Kaylee and the other is named Inara. They each make a statement as shown; if we know that at least one of them is a lie, what is the color of the dress that Inara is wearing? (From brilliant.org)
- Kirsten is not the youngest.
- Kari is the oldest.
- Audrey is not the oldest.
11) Merlin realizes that all Alakazams are Open Sesames, and some Hocus Pocuses are Alakazams. True or False: Some
Hocus Pocuses are Open Sesames? (From brilliant.org)
12) One of the women below is named Kaylee and the other is named Inara. They each make a statement as shown; if we know that at least one of them is a lie, what is the color of the dress that Inara is wearing? (From brilliant.org)
13) You have four closed boxes as shown:
While you know all four types of food are inside and each box only contains one type of food, you also know that only one of the boxes is labeled correctly. What's the minimum number of boxes that you need to open to be guaranteed to find out which one is labeled correctly? (Note: Guaranteed means in all possible scenarios, so you can't assume one that is lucky.) (From brilliant.org)