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Alex
3 years ago
5

Solve for n 4n + 12=36

Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

n = 6

Step-by-step explanation:

4n + 12=36

Subtract 12 from each side

4n + 12-12=36-12

4n = 24

Divide each side by 4 on each side

4n/4 = 24/4

n = 6

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In triangle ACE, P is the centroid, PF = 6 , and AD = 15 15. Find the measures of PC and AP. Enter your answers as numbers.
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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
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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 = \frac{2}{3} AD

∴ AP = \frac{2}{3} AD

∵ AD = 15 units

∴ AP = AP = \frac{2}{3} (15)

∴ AP = 10 units

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