The length of the segment QS is 8 units and the length of the segment TV is 8 units and this can be determined by using similar triangle properties.
Given :
- Triangle QRS is congruent to triangle TUV.
- The length of the segment QS is (3v + 2).
- The length of the segment TV is (7v - 6).
The following steps can be used in order to determine the length of QS and TV:
Step 1 - According to the given data, the triangle QRS is congruent to triangle TUV.
Step 2 - So, the length of the segment QS is equal to the length of the segment TV.
QS = TV
Step 3 - Substitute the values of QS and TV in the above expression.
3v + 2 = 7v - 6
7v - 3v = 6 + 2
4v = 8
v = 2
Step 4 - The length of the segment QS and TV is:
QS = 3(2) + 2 = 6 + 2
QS = 8
TV = 7(2) - 6 = 14 - 6
TV = 8
For more information, refer to the link given below:
https://brainly.com/question/25882965
