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Final answer:Theparallax anglefor Alpha Centauri is 0.7420 arcseconds. By using the parallax distance formula and converting from parsecs to light-years, we find that Alpha Centauri is approximately 4.39 light-years away. Thus option A. 4.27 light-years represent the closest given answer.Explanation:The parallax angle for Alpha Centauri measures0.7420 arcseconds.To calculate the distance in light-years, we use the formulaD = 1/Pwhere P is the parallax in arcseconds. This formula gives us the distance in parsecs, and to convert this to light-years, we multiply by 3.26 as 1 parsec = 3.26 light-years.Substituting the given parallax value into the formula, we getD = 1/0.7420parsecs = 1.35 parsecs. This value when converted to light-years (1.35*3.26) equals approximately 4.39 light-years. Therefore, between the given options, the closest answer is A.4.27 light-years.Learn more about Parallax Distance here:brainly.com/question/31173601#SPJ11...