Answer:
SV = 41 units
QT = 21 units
Step-by-step explanation:
Please refer to the attached figure.
It is given that line segment TV has a perpendicular bisector as line N which intersects on line on TV at point R.
So, TR = RV
We are given that:
[tex]RV = 3 x + 2\\QV = 4 x + 1\\TS =9 x -4 \\TR = 17\ units[/tex]
Comparing the values of TR and RV:
[tex]3x +2=17\\\Rightarrow x = 5[/tex]
We can easily observe that due to the nature of the construction of this figure there is symmetry present.
As a result, we can draw the following conclusions:
1. [tex]QT = QV = 4x+1\\[/tex]
Putting value [tex]x=5[/tex]:
[tex]QT = 4\times 5+1\\\Rightarrow QT =21\ units[/tex]
2. [tex]TS =SV = 9x-4[/tex]
Putting value [tex]x=5[/tex]:
[tex]\Rightarrow SV = 9 \times 5-4\\\Rightarrow SV = 41\ units[/tex]
Hence the values are:
SV = 41 units
QT = 21 units
