Question

Each of the diagrams below represents a sequence for a tightrope walker. For
each one, explain the sequence and find the length of the unknown trick.

Answer 1

Answer:

A. x = 3 units

B. r = 6 units

Step-by-step explanation:

A. The length of the whole tightrope is 12 units. It is divided into 4 equal parts, each of length x units.

So,

$4x=12\\ \\x=3\ units$

B. The length of the whole tightrope is $21+r$ units. It is divided into 5  parts. Four of them are equal and each has the length of r units and the fifth part has the length 3 units.

So,

$4r+3=21+r$

Subtract r:

$4r+3-r=21+r-r\\ \\3r+3=21$

Subtract 3:

$3r+3-3=21-3\\ \\3r=18\\ \\r=6 \ units$