The figure shows two congruent segments (. How many units to the right was segment

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The figure shows two congruent segments (<em a</em> and <em b</em>) that are perpendicular to the number line at points 4 and 8, respectively, and that end when they intersect two rays, one that extends from point 0 and the other that extends from point 6. Segment <em b</em> is moved to the right along the number line. The ray that extends from point 6 is rotated until it intersects the top of segment <em b</em> at its new position and <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02517.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>cos</m:mo><m:mi>x</m:mi><m:mi>°</m:mi><m:mo>=</m:mo><m:mo>cos</m:mo><m:mi>y</m:mi><m:mi>°</m:mi></m:mrow></m:math>-->. How many units to the right was segment <em b</em> moved? <br><img alt='image' src='https://www.fatskills.com/images2/ACT/9781119275435-fg0245.png' />