navaelizabeth navaelizabeth
  • 23-03-2020
  • Mathematics
contestada

4. Point V is somewhere on UW. If UV - 2x - 13, VW--18+ 2x, and UW = 17, then find the length of UV.

4 Point V is somewhere on UW If UV 2x 13 VW18 2x and UW 17 then find the length of UV class=

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shilpa85475 shilpa85475
  • 30-03-2020

The length of UV is 11.

Solution:

UV = 2x - 13

VW = -18 + 2x

UW = 17

UV + VW = UW

2x - 13 - 18 + 2x = 17

4x - 31 = 17

Add 31 on both sides.

4x - 31 + 31 = 17 + 31

4x = 48

Divide by 4 on both sides.

[tex]$\frac{4x}{4} =\frac{48}{4}[/tex]

x = 12

UV = 2x - 13

     = 2(12) - 13

     = 24 - 13

UV = 11

The length of UV is 11.

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