The segment <u>UV = 22 1/4 inches</u>, using the segment addition postulate.
According to the segment addition postulate, a third point B will only be located on the line segment AC if and only if the equation AB + BC = AC is true for a line segment with two endpoints, A and C.
In the question, we are given that point W bisects segment UV.
We are asked to find UV if WV = 11 1/8 inches.
For the segment UV, if point W bisects it, then point W is on the segment, and by the segment addition postulate, we can write that UW + WV = UV.
Now, as we are given that W bisects UV, we can conclude that UW will be equal to WV.
Thus, we can write that UW = WV = 11 1/8 inches.
Substituting the values of UW and WV in the equation UW + WV = UV, we get:
11 1/8 + 11 1/8 = UV,
or, UV = 11 1/8 + 11 1/8,
or, UV = 89/8 + 89/8,
or, UV = 178/8,
or, UV = 89/4,
or, UV = 22 1/4.
Thus, the segment <u>UV = 22 1/4 inches</u>, using the segment addition postulate.
Learn more about the segment addition postulate at
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