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3 years ago

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

$UW=UV+VW$ ----> 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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