Slove 5 1/7 + 14 6/7 using mental math

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

According to modern science, earth is about 4.5 billion years old and written human history extends back about 10,000 years. suppose the entire history of earth is represented with a 10-meter-long timeline, with the birth of earth on one end and today at the other end.

Bob is putting books on a shelf and takes a break after filling 18 1/2 inches on the book shelf. the book shelf is now 2/3 full. how long is the entire bookshelf?