1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8_murik_8 [283]
2 years ago
6

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.

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
5 0

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 = \frac{2}{3} AD

∴ AP = \frac{2}{3} AD

∵ AD = 15 units

∴ AP = AP = \frac{2}{3} (15)

∴ AP = 10 units

You might be interested in
Could someone please help me? Will mark brainlist!
Olin [163]

Answer: 1/3

Step-by-step explanation: there is a 1 out of 3 chance to land on 2

4 0
3 years ago
Read 2 more answers
I need help with this problem,
emmasim [6.3K]

Answer:

  JL = 78

Step-by-step explanation:

The shorter segment is a midline, so is half the length of the longer one.

  2(5x-16) = 4x +34

  5x -16 = 2x +17 . . . . . divide by 2

  3x = 33 . . . . . . . . . . add 16-2x

  x = 11 . . . . . . . . . . divide by 3

Then segment JL is ...

  JL = 4x +34 = 4(11) +34 = 44+34

  JL = 78

4 0
2 years ago
What is the equation of the line that passes through the point 3,-1 and has a slope of 2
LenaWriter [7]

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7

3 0
3 years ago
Factor Completely:<br> x²+x+8
Igoryamba

Answer:

Does Not Factor

Step-by-step explanation:

No way to factor this.

7 0
3 years ago
3) An archer applies an average force of 200 N to draw the bow string back 1.3 m.
Schach [20]

Step-by-step explanation:

W=N•D

W=(200)(1.3)

W= 260

3 0
3 years ago
Other questions:
  • If the area of a circular pool is 300 square yards, what is its radius?
    10·1 answer
  • Please could you find the answers to the questions in the attachment.
    8·1 answer
  • The diameter of holes for a cable harness is known to have a normal distribution with σ = 0.01 inches. A random sample of size 1
    15·1 answer
  • 4 x ½ what is the answer​
    15·1 answer
  • Are the expressions 5(4x+3) and 20x+3 equivalent
    13·1 answer
  • Help! How do you write 5x+12=x^2 in standard form ??
    8·1 answer
  • Evan graphs the function h(x)=x^2+4. Victor graphs the function g(x)=(x+4)^2. Which statments are true regarding the two graphs?
    6·1 answer
  • Draw a double bar graph for the given information.
    8·1 answer
  • Can someone please help me ..
    8·1 answer
  • What is the value of X?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!