so1963
so1963 so1963
  • 17-05-2021
  • Mathematics
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If UW=4t-16 and UY=t+14, find UY in Rhombus VWXY

If UW4t16 and UYt14 find UY in Rhombus VWXY class=

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xroscpctalsx
xroscpctalsx xroscpctalsx
  • 17-05-2021

Answer:

[tex]UY = 24[/tex]

Step-by-step explanation:

UW can be set to equal UY, because the lines are the same lengths.

[tex]4t - 16 = t + 14[/tex]

[tex]3t = 30[/tex]

[tex]t = 10[/tex]

So now that we found t, we need to find what UY is... So plugging 10 back in for t, we get:

[tex]UY = 10 + 14\\UY = 24[/tex]

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