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  • 09-12-2019
  • Mathematics
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In the diagram below of a parallelogram STUV, SV=x+3, VU 2x-1, and TU=4x-3. What is the length of SV?

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calculista
calculista calculista
  • 14-12-2019

Answer:

[tex]SV=5\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In a parallelogram opposites sides are parallel and congruent

so

In this problem

[tex]SV=TU[/tex] ---> by opposite sides

substitute the given values

[tex]x+3=4x-3[/tex]

solve for x

[tex]4x-x=3+3\\3x=6\\x=2[/tex]

Find the length of SV

[tex]SV=x+3[/tex]

substitute the value of x

[tex]SV=2+3=5\ units[/tex]

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