Answer:
x = 17 1/3
Step-by-step explanation:
Corresponding segments are proportional.
(3x)/(4x) = (3x +7)/(5x -8)
3(5x -8) = 4(3x +7) . . . . . . . . multiply by 4(5x-8)
15x -24 = 12x +28 . . . . . . eliminate parentheses
3x = 52 . . . . . . . . . . add 24-12x
x = 17 1/3 . . . . . . . . . divide by 3
2^4 is 16 and 3^5 is 243
12
The common ratio is 1.5. If the input is 8, the output has to be 12.
