The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
A coefficient is the (big) number in front of a number that tells you how many times you multiply the main number
Step-by-step explanation:
-6 = 2/9 x
2/9x = -6
x = (-6)×9/2
= -27
60g/12miles = 5g/mile
So, 1200g / 5g = 240 miles