A thief hides out in one of the 45 motel rooms listed in the chart below. The motel’s in-house detective received a sheet of four clues, signed “The Holiday Thief.” Using the clues below, the detective found the room number within 15 minutes—but by that time, the thief had fled. Can you find the thief faster? CHART
51-52-53-54-55-56-57-58-59

41-42-43-44-45-46-47-48-49

31-32-33-34-35-36-37-38-39

21-22-23-24-25-26-27-28-29

11-12-13-14-15-16-17-18-19
1.the sum of the two digits is greater than 7
2. the second digit is more than double the first digit
3. the first digit is divisible by 2
4. the second digit is divisible by 4

hint: I solved it in less than a minute, and it took a detective 15 minutes to solve

You and a friend race across a field to a fence and back. your friend has a 50-meter head start. the equations shown represent you and your friend's distances dd (in meters) from the fence tt seconds after the race begins. find the time at which you catch up to your friend. you: d=∣−5t+100∣d=∣−5t+100∣ your friend: d=∣−313t+50∣∣

The size of a certain cell is 2.5*10^-9m. another cell is 1.5*10^3 times larger. how large is the larger cell in scientific notation?

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality