A line segment is divided in two​ segments, such that the ratio of the long segment to the short segment is equivalent to the golden ratio. If the length of the entire line segment is 8 inches​ long, what is the length of the longer piece of the divided​ segment? Use

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 13OE
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A line segment is divided in two​ segments, such that the ratio of the long segment to the short segment is equivalent to the golden ratio. If the length of the entire line segment is

8

inches​ long, what is the length of the longer piece of the divided​ segment? Use

ϕ≈1.618.
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