The values of VT and ST for the given rectangle are 13 and 23.56 respectively.
The given parameters:
- RV = x + 6
- US = 5x - 9
- RS = 11
The value of VT and ST is calculated as follows;
from the given diagram we can conclude the following;
2RV = RT = US
[tex]2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7[/tex]
RT = 2RV = 2VT = 2(7 + 6) = 26
VT = ¹/₂ x 26
VT = 13
The value of ST can be determined from Pythagoras theorem as follows;
[tex]ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56[/tex]
Learn more about Pythagoras theorem here: https://brainly.com/question/12306722
