Accepted Answer
If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.What is the Segment Addition Postulate?The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:LP + PR = LRLP = LR - PRSubstituting the given parameters into the formula, we have;LP = 12 - 4LP = 8.Read more on Segment Addition Postulate here: https://brainly.com/question/17335225#SPJ1Complete Question:Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explainLP = 16 because 12 + 4 = 16 according to the addition property of equality.LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.