Answers
Answer:
n = 108
Step-by-step explanation:
The three medians of a triangle intersect at the same point inside the triangle.
The segment from a vertex to the point in the center is 2 times as long as the
other part of the median line. So OC is 2 times KC.
KC =108
OC = 2(108)
2n + 10 = 216
2n = 206
n = 108
In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
What is median of a triangle?" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."
Property used
Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.
According to the question,
Given,
In ΔABC,
BL, AM, CK are the medians of a triangle ABC.
'O' represents the Centroid
[tex]KC = 108\\\\OC = 2n +10[/tex]
Ratio of [tex]KC : OC = 3: 2[/tex]
Substitute the value of KC and OC we get,
[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]
Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
Learn more about median of a triangle here
https://brainly.com/question/2272632
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Related Questions
simplify this addition 20+(-6x)+6x+(-20)
Answers
Answer:
0
Step-by-step explanation:
20+(-6x)+6x+(-20)=20-6x+6x-20
=0
Richard buys a balance being priced at 799 shipping and handling or an additional 30% of the price how much shipping and handling will Richard pay
Answers
The path of a large arrow fired from a catapult can be modeled by y= -0.0044x^2+1.68x, where x is the distance the arrow traveled (in yards) and y is the height of the arrow (yards).
Give the height of the castle wall, find the safest distance from the wall to launch an arrow over the wall.
1. the height of the wall is 120 yards
2. the height of the wall is 100 feet.
Answers
Answer:
Step-by-step explanation:
Wwe can solve this in either of two ways: Differentiation or graphing.
Differentiation
y= -0.0044x^2+1.68x
y' = -0.0088x + 1.68
y' is an equation that tells us the slope of the line for any point x. We want to know when the arrow begins it's descent. That is the point of maximum height, and the slope of the line through that point will be zero. Set y' = 0 and solve for x:
0 = -0.0088x + 1.68
0.0088x = 1.68
x = 191
The maximum height is when the arrow has travelled 191 feet. Now put 191 feet into the equation to find the maximum height:
y= -0.0044x^2+1.68x
y(191) = feet
The maximum height is 160 feet
--
Graphing
See attachment.
Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2
Answers
Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8
Solution: C
Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles
Answers
Answer:
4.5hours - 4h30 min
Step-by-step explanation:
Doing the math: 225 miles : 50 miles per hour = 4.5 hours
Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min
Convert 0.092 into a fraction
Answers
Answer:23/250
Step-by-step explanation:
0.092=23/250
Describe how Jason can check his answer
Answers
Describe how Jason can check his answer
Answer:The equation that was given in the question is:
[tex] - 8.5 \times - 3.5 \times = - 78[/tex]
Also,the value of x given is 6.5
Therefore, we'll put the value of x back into the equation and this will be:
[tex] - 8.5 \times - 3.5 \times = - 78 \\ - 8.5(6.5) - 3.5(6.5) \\ - 55.25 + - 22.75 \\ = - 78[/tex]
Therefore, the answer is correct
Find and intercept the slope of this line.
Answers
Answer:
The slope is -4. The amount of money left goes down by 4 with each comic book.
Step-by-step explanation:
The answer is D
what is
-0.35 - (-0.25)??
Answers
Answer:
Please mark brainliest <3
Step-by-step explanation:
What’s the answer to 4(1+9x)
Answers
Answer:
36x+4
hopes this helps
Answer:
Explanation:
4 ( 1 + 9x)
4 + 36x
I have tried to answer this every method I can and I can't solve it
Answers
Answer: P1: 17.61 P2: 14.66
Step-by-step explanation:
P1: take total divide by how many numbers used : 229 divided by 13 =17.61
P2: take total divide by how many numbers used : 88 divided by 6= 14.66
D) No, you are too afraid of sharks to even attempt the dive!
8) You are interested in retrieving a souvenir from a shipwreck located 115 feet below the water. You
do not have diving equipment, so your dive is limited by the equation y=0.05x2 - 4x – 38
Assumming you are able to retrieve your souvenir, how long do you have to hold your breath until
you resurface?
A) almost 90 seconds B) 38 seconds
C) almost 2 minutes D) a minute and 10 seconds
Answers
Answer:
B. 38 seconds
A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Answers
Answer:
answer in the link
Step-by-step explanation:
Dave spent 21 minutes completing a race. He walked 9 minutes and jogged the rest. What
is the ratio of time he jogged to time he walked?
Answers
A parallelogram has an angle whose measure is 4 times the measure of
another angle of the parallelogram. What are the measures of the angles
of the parallelogram?
Answers
Answer:
The measures are 36 and 144 and similarly 36 and 144
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Answers
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.
8 * (-2) = -16
-16 + 2 = -14
So y = -2 is a solution.
An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?
Answers
$42,000 + $3,360 = $45,360 salary for the next year
the weight of an object on the moon is 0.167 of its weight on earth how much wuold a 180 pound astrounaut weigh on the moon
Answers
Answer:
About 30.06 pounds
Step-by-step explanation:
In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).
Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answers
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
Esitmate 242 PLEASEEEEEEEEE I NEED THIS
Answers
Round up the number 242 to 240.
240+32
Round up the number 32 to 30.
240+30
Add 30 to 240.
270
242+32≈270
The Estimated Value of 242+32 is 270.
$1,000 invested at 8% compounded semiannually after a period of 2 years
Answers
Answer:
1160 will be the new amount after 2 years
Step-by-step explanation:
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Therefore 1160 is the new amount after two years.
Daphne gave away 3 more than half of her apples. she gave awya 17 apple in all. How many apples did Daphne have originally?
Answers
Answer:
28
Step-by-step explanation:
11. Which solution for the value of x in the figure below is incorrect? Explain a. 3X -44=x-24 2x - 44 = -24 2x = 20 (3x-440) b. 3x - 44 + x - 24 = 180 4x - 68 = 180 4x = 248 X = 10 (x-249) x = 62
Answers
Answer:
Theradius is 16 + 9 = 5. The equation of thecircle is2 2( x− 4) + ( y− 3) = 25. 53.54.x2 + y2 – 4 x ...
A linear model for the situation below passes through the origin. A manufacturer can produce 4,200 gears in 8 hours. How many gears can be made in 1 hour? values of the following algebraic expressions : L 3c2; 72/3; 5a&; ... 2x^-x^-3x-^ by 2 x'^ - 3 x~^ - x-^ ; a" - 1 + ft- " by a^ + ft~i ...
Step-by-step explanation:
A less character after a greater in10 = X. creases its value, as XI X+I, ... the root of each and set one above the other; as, % is the square root of 3X.180 / 90 / 15 lm | 12 VDC | 3 W module | 16 Wh battery | white | ... 48 VDC | PV 23,6 kW | 4 x VE SmartSolar MPPT 25 / 100-TR | 3x VE .
The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
x= 12 cm
Step-by-step explanation:
Answer:
[tex]x=(4\sqrt{3})/3[/tex]
Step-by-step explanation:
If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]
Given isosceles AHIJ where HIIT, MZH = (3x + 10)", and mZ1 = (6x – 20)", find the measures of angles H, I and J.
Answers
Answer:
110 degrees I think
Step-by-step explanation:
Please need help 100 points
Answers
Answer:
(29/37)-(48/37i)
Step-by-step explanation:
Use complex arithmetic rule:
a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2
To get: (29-48i)/37
Then rewrite it in standard complex form to get your answer.
Hope that helps!
1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40
Answers
Answer:
C) 4
Step-by-step explanation:
d = rt
plug in
t = 8, d = 32
32 = t(8)
Divide both sides by 8
4 = t
C) 4
Pamela's age is two times Jiri's age. The sum of their ages is 33. What is Jiri's age?
please please help
Answers
Answer:
Let Jiri's age be as 'x'
Therefore, Pamela's would be 2x
Since the addition of both is 72, the equation formed would be..
2x+ x =72
3x =72
x= 72÷3
x = 24 years.
Therefore, Jiri's age is 24 and Pamela's is twice of Jiri ie 48 years.
Please help me with this question! It's a writing question.
Answers
Answer:
That he made a medicine that reduces coughing
Step-by-step explanation:
Carlos bought 17 boxes of cereal. This is 20% of the total boxes at the store. In order to find the total number of boxes at the store, what do you need to find?
A) the part
B) the whole
C) the percent
D) benchmark percent
Answers
Answer:
The whole
Step-by-step explanation:
If the part is 20% then you already have a part of a whole, now you need to find the entire thing