If triangle ACD ~ triangle ABE, find the value of x.

x = 16

Step-by-step explanation:

20 / (3x + 8) = (x - 1) / (x - 1) + 27

20 / (3x + 8) = (x - 1) / (x + 26)

20(x + 26) = (3x + 8)(x - 1)

20x + 520 = 3x² + 5x - 8

0 = 3x² - 15x - 528

0 = x² - 5x - 176

x = (5 ±√(5² - 4(1)(-176))) / (2(1))

x = (5 ±27) / 2

x = - 11 ignore because negative lengths make no sense.

x = 16

the answer is 31.27mph