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
forsale [732]
3 years ago
10

P is the centroid of △JLN, LO⊥JN, ∠NJK≅∠JNM, OP=8, OJ=15. Find the perimeter of △JLN.

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0
The complete question in the attached figure

we know that
The Centroid of a Triangle is the point where the three medians of the triangle intersect.
<span>Each median divides the triangle into two smaller triangles of equal area.
<span>and
the centroid divides each median into two segments whose lengths are in the ratio 2:1, with the longest one nearest the vertex

therefore

triangles LOJ and LON are similar
ON=OJ=15 units
then
NJ=15+15-------> NJ=30 units

Let 
x--------> distance OL
so
OP=x/3
OP=8
x/3=8--------> x=8*3---------> x=24 units
OL=24 units

in the right triangle JLO
OJ=15 units
OL=24 units
JL=?
applying the Pythagorean Theorem
JL</span></span>²=OJ²+OL²--------> JL²=15²+24²------> JL=28.30 units
<span>
perimeter of triangle JLN
P=JL*2+NJ-------> P=2*28.30+30------> P=86.60 units------> P=86.6  units

the answer is
</span><span>the perimeter of △JLN is </span><span>86.6 units


</span>

You might be interested in
Solve. Show all steps. <br> 1/8 x = 1/2
Law Incorporation [45]

Answer:

\frac{1}{8} x =  \frac{1}{2}  \\ x =  \frac{8}{2}  \\  \boxed{x = 4}

<h3><u>x=4</u> is the right answer.</h3>
3 0
3 years ago
Read 2 more answers
-2 (-3x + 3) + 2x = 58
dusya [7]

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

8 0
2 years ago
I need in depth help answering ​
Volgvan
What is the question
8 0
3 years ago
On average a herd of elephants travels 10 miles in 12 hours<br>(picture included)
Tema [17]
For the first Q the answer is the first square on the left 10 miles divided by 12 hours = 0,83 miles

And the second Q goes with the last square 12 hours divided by 10 miles = 1.2 h which in minutes is 72 minutes or 1h and 12 minutes.
4 0
3 years ago
Read 2 more answers
A triangle has sides with lengths of 5x – 7,
Tom [10]

Answer:

10x - 17

Step-by-step explanation:

Perimeter is the sum of all sides

5x - 7 + (3x - 4) + (2x - 6)

10x - 7 - 4 - 6

10x - 17

4 0
3 years ago
Other questions:
  • Which sentence is written correctly? Kino said that if play practice does not start on time, the director “will be mad.” Kino sa
    9·2 answers
  • ) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such th
    9·1 answer
  • Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours to paint a similarly-si
    5·1 answer
  • A balloon is 300 feet above a cliff. The angle of depression to the cliff edge is 40° 30'. What is the horizontal distance from
    12·1 answer
  • What is the approximate area of the circle shown below?
    6·2 answers
  • the mean of marks scored by 100 students was found to be 40. Later on, it was discovered that a score of 53 was misread as 83. F
    7·1 answer
  • Pls Help! Which of the following equations represents a line that is parallel to the line y = - x – 16.
    7·1 answer
  • Can someone pls help me solve this .
    15·1 answer
  • Describe the graph of y = -|x + 4| - 5.
    12·1 answer
  • The following are the Consumer Price Index (CPI) for the years 1991-1993. All of the values use a reference year of 1986.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!