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irga5000 [103]
3 years ago
15

If UV = x+8, VW = 6x-8, and UW=14, what is VW?

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

Answer:

VW=4\ units

Step-by-step explanation:

step 1

Find the value of x

In this problem i will assume that  U,V and W are collinear and V is between U and W

so

UW=UV+VW ----> by addition segment postulate

substitute the given values

14=(x+8)+(6x-8)

solve for x

14=7x

x=2

step 2

Find the value of VW

VW=(6x-8)

substitute the value of x

VW=(6(2)-8)=4\ units

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