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
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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