### Home > MC1 > Chapter 4 > Lesson 4.1.3 > Problem 4-32

Each of the diagrams below represents a sequence for an acrobat on a tightrope. Each letter represents the unknown length of a trick. For each part below, figure out how far the acrobat travels during each trick (that is, the length represented by each letter). Show how you know.

Find

.

If

is the same as, can you think of a way to find the value of ?To find the value of both

's combined, we can subtractfrom .

Now you know that two

's are equal to. Can you find the value of one ?

Find

.

Do you think you can use a similar strategy as in part (a)? Remember, try to find the value of just one

*j*.is the same as . Can you find the value of?. Remember to show how you know!

Find

.

Remember that

is the same as . This simplification should make finding easier.If two

's equal, how much is one ?