Answer:
x = 20
Step-by-step explanation:
Intersecting Chords Theorem: ab = cd
Step 1: Label our variables
<em>a</em> = x
<em>b</em> = x - 11
<em>c</em> = x - 8
<em>d</em> = x - 5
Step 2: Plug into theorem
x(x - 11) = (x - 5)(x - 8)
Step 3: Solve for <em>x</em>
x² - 11x = x² - 8x - 5x + 40
x² - 11x = x² - 13x + 40
-11x = -13x + 40
2x = 40
x = 20
Hope this helps! here is the answer!
12 gallons is needed for a 500 mile trip.
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