Answer:
x = 11, TV = 10
Explanations:
According to the Thales theorem:
[tex]\frac{RU}{US}=\text{ }\frac{TV}{VS}[/tex]
RU = 8
US = 14
TV = x - 1
VS = 17.5
Substitute these values into the equation for the thales theorem
8/14 = (x-1) / 17.5
Cross multiply
8 (17.5) = 14(x - 1)
140 = 14 (x - 1)
140/14 = x - 1
10 = x - 1
x = 10 + 1
x = 11
To get the value of TV, substitute x = 11 into TV = x - 1
TV = x - 1
TV = 11 - 1
TV = 10
