The measure of VU is 16 units
The given parameters are:
[tex]OV = 7x + 2[/tex]
[tex]VU = 3x + 10[/tex]
Given that, lengths OV and VU are congruent, we have:
[tex]OV =VU[/tex]
Substitute values for OV and VU
[tex]7x +2 =3x + 10[/tex]
Collect like terms
[tex]7x -3x = 10 -2[/tex]
Evaluate like terms
[tex]4x = 8[/tex]
Divide both sides by 4
[tex]x = 2[/tex]
Substitute 2 for x in [tex]VU = 3x + 10[/tex]
[tex]VU = 3 \times 2 + 10[/tex]
[tex]VU = 6 + 10[/tex]
Evaluate like terms
[tex]VU = 16[/tex]
Hence, the measure of VU is 16 units
Read more about lengths at:
https://brainly.com/question/14366932
