Question

larissa is standing at point l, paige is standing at point p, and raelynn is standing at point r on segment lr, as shown in the figure. if lp = 15 and pr = 9, find lr. explain. lr = 24 because 15 + 9 = 24 according to the addition property of equality lr = 6 because lr + lp = pr according to the segment addition postulate, and 6 + 9 = 15 using substitution. lr = 24 because lp + pr = lr according to the segment addition postulate, and 15 + 9 = 24 using substitution lr = 6 because 15 - 9 = 6 according to the subtraction property of equality

Explanation:

Step1: Recall segment - addition postulate

According to the segment - addition postulate, if a point \(P\) lies on a line segment \(LR\), then \(LP + PR=LR\).

Step2: Substitute given values

We are given that \(LP = 15\) and \(PR = 9\). Substituting these values into the equation \(LP + PR=LR\), we get \(LR=15 + 9\).

Step3: Calculate the value of \(LR\)

\(15+9 = 24\).

Answer:

LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution.