The length of a segment is the number of units between its endpoints
The length of YZ is 45 units
The given parameters are:
WX = 11x + 1
YZ = 19x - 31
Lengths WX and YZ are congruent.
So, we have:
[tex]19x - 31 = 11x +1[/tex]
Collect like terms
[tex]19x - 11x = 31 +1[/tex]
Evaluate the like terms
[tex]8x = 32[/tex]
Divide both sides by 32
[tex]x = 4[/tex]
Recall that:
YZ = 19x - 31
So, we have:
[tex]YZ = 19*4- 31[/tex]
[tex]YZ = 45[/tex]
Hence, the length of YZ is 45 units
Read more about line segments at:
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