The measurement of segment XZ is the distance between point X and Z.

Observe the figure; the point Y divides the line segment into two line segments XY and YZ.

Length of  = Length of + Length of

3in = + in                  (Substitute , and)

Apply subtraction proparty of equality:If a = b then \ \

3-=+         (Subtract from each side.)

3-=                       (Additive inverse property: )

3-=                             (Additive identitty property: )

Write mixed number into improper fraction.

=                           ()

=                                 (Subtract:  )

Rewrite the improper fraction as a mixed number.

Begin by dividing 11 by 8. The remainder will be the numerator of the mixed number’s fraction.

(Rewrite 11 as . Remainder is 3)

The length of the segment is in.