If lr = 12 and pr = 4, find lp. explain. lp = 16 because lr + pr = lp according to the segment addition postulate, and 12 + 4 = 16 using substitution. lp = 8 because lp + pr = lr according to the segment addition postulate, and 8 + 4 = 12 using substitution. lp = 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.
B.LP=8 because 12-4=8 according to the subtraction property of equality
We are given that if LR=12 and PR=4
We have to find LP
The points L, P and R are collinear points,because they lie on the same line.
When the points are collinear then
We have LR=12 and PR=4
Substituting the values then we get
Using subtraction property of equality
Therefore, by simplification we get
B. LP=8 because LP+PR=LR according to the segment addition postulates , and 12+4=16 using substitution.
LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitutionStep-by-step explanation:
From this problem, we know that:
LR = 12
PR = 4
So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:
LP + PR = LR
By substituting LR = 12 and PR = 4, we have:
LP + 4 = 12
Subtracting 4 from both sides:
LP + 4 - 4 = 12 - 4
LP + 0 = 8
LP = 8