Question

T is between S and U. SU = 2x-12, TU = 6, ST = x-7. Find SU.

Answer 1

Applying the segment addition postulate, SU = 10

What is the Segment Addition Postulate?

Based on the segment addition postulate, when a point lies in between two endpoints on a line segment, the sum of the lengths of the two smaller segments equals the length of the longer segment.

Given:

SU = 2x - 12

TU = 6

ST = x - 7

Thus:

TU + ST = SU

• Substitute

6 + x - 7 = 2x - 12

• Add like terms

-1 + x = 2x - 12

-2x + x = 1 - 12

-x = -11

x = 11

SU = 6 + x - 7

• Plug in the value of x

SU = 6 + 11 - 7

SU = 10

Learn more about segment addition postulate on:

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