Anumber less than 52 and greater than 40 and has 3 ones

What is the value of r of the geometric series?

What is the length of the unknown leg in the right triangle ?

Jack has a piece of red ribbon that is two times as long as his piece of blue ribbon. he says that he can use two different equation to find out how long his piece of red ribbon is compared to his piece of blue ribbon is. is he correct? explain his reasoning