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.

Cosine. The cosine is a ratio of the adjacent side of a right triangle to the hypotenuse. In this case, the horizontal component is the adjacent side and the vector is the hypotenuse. When multiplying the magnitude of the vector by cosine of theta, the magnitudes will cancel, leaving the horizontal component as your answer.