sat suite question viewer
Algebra
/ Linear equations in one variable
Difficulty: Medium
A line segment that has a length of is divided into three parts. One part is long. The other two parts have lengths that are equal to each other. What is the length, in , of one of the other two parts of equal length?
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Explanation
The correct answer is . It’s given that a line segment has a length of and is divided into three parts, where one part is long and the other two parts have lengths that are equal. If represents the length, in cm, of each of the two parts of equal length, then the equation , or , represents this situation. Subtracting from each side of this equation yields . Dividing each side of this equation by yields . Therefore, the length, in cm, of one of the two parts of equal length is .