Answer:
8
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure. Having this in mind:
[tex]QS=TV[/tex]
Where:
[tex]QS=3v+2\\TV=7v-6[/tex]
So, we will have the next equation:
[tex]3v+2=7v-6[/tex]
Solving for v:
Subtract 3v from both sides:
[tex]3v-3v+2=7v-6-3v\\2=4v-6[/tex]
Add 6 to both sides:
[tex]6+2=4v-6+6\\8=4v[/tex]
Divide both sides by 4:
[tex]\frac{8}{4} =\frac{4}{4}v\\ 2=v[/tex]
Finally, replacing the value of v in QS and TV:
[tex]QS=3(2)+2=6+2=8\\TV=7(2)-6=14-6=8[/tex]
どういたしまして!
