on the map shown, streets are, q, and or parallel and 7th Street is perpendicular to all three. Find the value of x in feet
![on the map shown streets are q and or parallel and 7th Street is perpendicular to all three Find the value of x in feet class=](https://us-static.z-dn.net/files/ddd/3a9df909c7036dd435a6ab342d7d87d3.jpg)
Answer:
The answer to your question is: x = 4760 ft
Step-by-step explanation:
Data
R + Q = 1320 + 2640 = 3960 ft
hypotenuse of the medium triangle = x + 2380
R = 2640 ft
hypotenuse of the small triangle = x
Process
Thales' theorem
(x / 2640) = (x + 2380 / 3960)
3960 x = 2640 (x + 2380)
3960 x = 2640x + 6283200
3960x - 2640x = 6283200
1320x = 6283200
x = 6283200/1320
x = 4760 ft