Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
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Exercise 9 Page 75

If three points are on a straight line, we can use the Segment Addition Postulate to calculate the total length of the segment.

x=10

Practice makes perfect

The length JK is the total length of the segment, JK.

Because point H is on a straight line between J and K, we can use the Segment Addition Postulate to create an equation that we can use to solve for x. JK = JH + HK Let's substitute the given expressions into our equation and solve.
JK = JH + HK
48 = ( 4x-15) + ( 2x+3)
â–Ľ
Solve for x
48 = 4x -15 +2x +3
48 = 6x - 12
60 = 6x
10=x
x=10