Let point C be between V and W on VW. Given that VW = 61, VC = z + 13, and CW = z + 8, solve for z. A. 18 B. 19 C. 20 D. 21

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manasangreddy6841 manasangreddy6841

01-09-2017
Mathematics

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Let point C be between V and W on VW. Given that VW = 61, VC = z + 13, and CW = z + 8, solve for z. A. 18 B. 19 C. 20 D. 21

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Louli Louli · Answer 1 · 2017-09-01T08:48:47+02:00

Louli Louli

01-09-2017

We have the total length of VW and we know that C lies somewhere on that line.
Therefore:
VC + CW = VW
z+13+z+8 = 61
2z+21=61
2z=61-21
2z=40
z=40/2
z=20

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