Geometry: Common Core (15th Edition)

Published by Prentice Hall

Chapter 1 - Tools of Geometry - Mid-Chapter Quiz: 21

34

Work Step by Step

The single hash marks tell us that $\overline{AC}$ is congruent to $\overline{DC}$. $AC=DC$ Substitute: $4x+5=3x+8$ Subtract 3x from each side: $4x+5-3x=3x+8-3x$ $x+5=8$ Subtract 5 from each side: $x+5-5=8-5$ $x=3$ Segment Addition Postulate: $AC+DC=AD$ Substitute $(4x+5)+(3x+8)=AD$ Combine like terms: $7x+13=AD$ Substitute: $7(3)+13=AD$ $21+13=AD$ $34=AD$

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