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.

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

Step-by-step explanation:

Given : LP = 15 and PR = 9 .

In the given figure , L and R are two points and a third point P lies on line segment LR.

Then by Segment Addition Postulate, we have

LP + PR = LR

Substitute values of  LP = 15 and PR = 9 , we get

i.e. LR  = 15+9=24

According to the segment addition postulate, for  any two points M and N, if another point O lies on the line segment MN if and only if the distances between the points MN satisfy the equation : MO+ON=MN.  

Note : Addition property of equality used to add a quantity on both sides of equation and subtraction property used to subtract a quantity on both sides of equation which has no use here.

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

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

Step-by-step explanation:

This would be the answer because the Segment addition means that when you add the segments, it equals the whole.

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