Assignment: 
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Answer: 
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Explanation: 
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[ Step One ] Switch Sides

[ Step Two ] Expand 

[ Step Three ] Rewrite Equation

[ Step Four ] Add 8 To Both Sides

[ Step Five ] Simplify

[ Step Six ] Divide Both Sides By -1

[ Step Seven ] Simplify

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Your weight: x lb
Friend's wt.: 86 lb
Max wt. allowed: 263 lb
Then x + 86 ≤ 263, with x in lb. You could weigh a max. of 177 lb and still be able to go on this ride.
Answer:
PC = 12 units
AP = 10 units
Step-by-step explanation:
- The centroid of a triangle is the intersection of the three medians of the triangle
- Each median connecting a vertex with the midpoint of the opposite side
- The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex
In ΔACE
∵ P is the centroid of it
∴ P divides CF the ratio 2: 1 from C
∴ PC = 2 PF
∵ PF = 6 units
∴ PC = 2(6)
∴ PC = 12 units
∵ P divides AD at the ratio 2: 1 from A
→ That means AD = 2 + 1 = 3 parts, and AP =
AD
∴ AP =
AD
∵ AD = 15 units
∴ AP = AP =
(15)
∴ AP = 10 units
(x^2) - 16 / x+4 = (x-4)(x+4) / (x+4) = x-4, x not equal to -4
D is the answer.