The centre of a triangle must always be found inside the triangle. Illustrate the statement with examples or deny the statement using counter-examples. A diagram would be helpful in supporting your opinion
Answers
The center of a triangle must always be found inside the triangle given that it is the concurrent point of the three median lines of the triangle all three of which are located only inside of the triangle
The examples of the properties of the center of a triangle are;
The center of the triangle is the centroid of the triangle which is the point of concurrency of the three medians of the triangle, where a median line is the line which connects a vertex to the midpoint of the side opposite the vertex inside the triangleEach median line divides the area of the triangle in half, and given that the area of the triangle is equal to half the altitude, multiplied by the length of the base side of the triangle, the three medians of a triangle are related and share a common concurrent point inside the triangle such the perpendicular distance from the concurrent point of the three medians to each of the three side is less than the altitude of the triangleGiven that the three medians are located inside the triangle therefore, based on the location of the center of the triangle on the medians of the triangle, the center of the triangle must always be found inside the triangle
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Related Questions
Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12.8 meters, the lengths of J N and N L are 3.7 meters, and the lengths of K M and M L are 5.9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4.4m MN = ML
Answers
Answer:
1 and 3
Step-by-step explanation:
Answer:
B) N is the midpoint of line segment JL.
D) MN = 1/2 KJ
Step-by-step explanation:
edgeeee
Which table is y a function of x?
Answers
Answer:
The first chart
Step-by-step explanation:
Convert each of the ingredient amounts below from ounces to fractions
Example: 8.2 = 8 2/10 *
2 points
Puppy Chow Trail Mix
• Trail Mix:
• 1 (12.65 ounce) can salted peanuts
• 1 (10.5 ounce) package miniature marshmallows
• 1 (3.2 ounce) package sunflower seeds
• 1(1.69 ounce) package candy-coated milk chocolate pieces (such as M&M's(R))
• 1 (1.5 ounce) box raisins
Your answer
Answers
Answer:
12.65 = 12 65/100
= 12 13/20
10.5 = 10 5/10
= 10 1/2
3.2 = 3 2/10
= 3 1/5
1.69 = 1 69/100
1.5 = 1 5/10
= 1 1/2
Step-by-step explanation:
The weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
Given that, salted peanuts = 12.65 ounce.
How to convert decimals to fractions?Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.
Now, salted peanuts = 12.65 ounce in fraction is
12.65 = [tex]12 \frac{65}{100}[/tex]
= [tex]12 \frac{13}{20}[/tex] ounce
10.5 ounce package miniature marshmallows
In fraction 10.5 = [tex]10 \frac{5}{10}[/tex]
= [tex]10 \frac{1}{2}[/tex] ounce
3.2 ounce package sunflower seeds
In fraction 3.2 = [tex]3 \frac{2}{10}[/tex]
= [tex]3 \frac{1}{5}[/tex] ounce
1.69 ounce package candy-coated milk chocolate pieces
In fraction [tex]1 \frac{69}{100}[/tex]
1.5 ounce box raisins
In fraction [tex]1 \frac{5}{10}[/tex]
= [tex]1 \frac{1}{2}[/tex]
Therefore, the weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
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Carlos can read 30 pages per hour in the 270 page book he is reading. At this rate, how long will it take him to finish his book?
Answers
Answer:
9 hours
Step-by-step explanation:
270/30=9
What is 0.2 rounded to the nearest whole number?
Answers
Answer:
0
Step-by-step explanation:
since 2 isnt up to 5, it cannot equate to 1
Which graph represents an even function?
Answers
Answer:
the first one, it's linier (even)
The first graph is the one that represents an even function. See why below.
What is a even function?An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.
The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.
Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.
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Please help me with this question.
Answers
Answer:
TrueTrueStep-by-step explanation:
Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.
Line CD does not go through P, so C'D' is distinct and parallel to it (True).
Angles B and B' are congruent. (True)
Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
Answers
Functions are used to represent graphs, and vice versa.
The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
[tex]f(x) =a |x - h| + k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
The vertex is the minimum or the maximum point on the graph.
So, we have:
[tex]Vertex = (-4,3)[/tex]
The function becomes
[tex]f(x) =a |x + 4| + 3[/tex]
The function also passes through the point (-1,0).
So, we have:
[tex]0 =a |-1 + 4| + 3[/tex]
[tex]0 =a |3| + 3[/tex]
Remove the absolute bracket
[tex]0 =3a + 3[/tex]
Subtract 3 from both sides
[tex]3a =- 3[/tex]
Divide both sides by 3
[tex]a =- 1[/tex]
Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]
[tex]f(x) =- |x + 4| + 3[/tex]
Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
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9/4 divided 5/8
I don’t know help me
Answers
Answer:
9/4 divided 5/8 = 3.6 (Ans)
Answer
9/4 ÷ 5/8 = 3.6
i hope it will help you
HELP ME PLS THIS IS GRAPHING MATH ITS DUE VERY SOON PLS HELP BEFORE A BOT EATS MY QUESTION!!!!
Answers
Answer:
.
Step-by-step explanation:
.
Answer: I quessed on this with what I learned and we never learned it this way so im not sure if this is correct
It's probably not right
Step-by-step explanation:
Simplifying
13x + 6y = 180
Solving
13x + 6y = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
13x + 6y + -6y = 180 + -6y
Combine like terms: 6y + -6y = 0
13x + 0 = 180 + -6y
13x = 180 + -6y
Divide each side by '13'.
x = 13.84615385 + -0.4615384615y
Simplifying
x = 13.84615385 + -0.4615384615y
Solve (x – 3)2 = 49. Select the values of x.
–46
-4
10
52
Answers
Answer:
There is no answer from my working the answer should be 55÷2
The value of x in the expression is 55/2 or 27½
From the question given above, we obtained:
(x – 3)2 = 49The value of x can be obtained as follow:
(x – 3)2 = 49
Clear the bracket
2x – 6 = 49
Collect like terms
2x = 49 + 6
2x = 55
Divide both side by 2
x = 55 / 2 or 27½
Thus, the value of x is 55/2 or 27½
No option is correct.
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Use the distributive property to write an equivalent expression.
9(w + 3x)
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The answer is 9w+27x
PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE
Answers
Step-by-step explanation:
Please forgive me if I'm wrong but I would choose A, B, and E.
Find the
17th
term of the arithmetic sequence whose common difference is d=5 and whose first term is a1 = 1.
Answers
The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]
An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.
The formula for calculating the [tex]nth[/tex] term of a sequence is
[tex]a_n=a_1+(n-1)d[/tex]
where
[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]
from the question
[tex]n=17\\d=5\\a_1=1[/tex]
from this information, we can calculate the [tex]17th[/tex] term of the sequence thus
[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]
so, [tex]a_n=81[/tex]
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What would make this conditional a false statement? If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month.
You go to the gym for an hour a week and lose 10 pounds in a month
You go to the gym for an hour a week and lose 17 pounds in a month
You go to the gym for an hour a week and lose 7 pounds in a month
You go to the gym for an hour a week and lose 50 pounds in a month
Answers
We must see which thing would make the conditional statement a false statement. We will see that the correct option is:
"You go to the gym for an hour a week and lose 7 pounds in a month"
So we start with the conditional statement:
"If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month"
Remember that the general conditional statement is:
If P, then Q.Where P is the hypothesis and Q is the conclusion.
The conditional statement is false if:
P is true and Q false.
So the given statement is only false if you meet the hypothesis (you go to the gym for an hour a week) but not the conclusion (you lose less than 10 pounds in a month).
With that in mind, the correct option is the third one, the only one where you lose less than 10 pounds in a month.
"You go to the gym for an hour a week and lose 7 pounds in a month"
If you want to learn more about conditional statements, you can read:
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HELP ME GUYS PLEASE!!! :)
Answers
Answer:
(10,-2)
Step-by-step explanation:
You can see that the first equation has already given as x-isolated equation aka x = 10.
With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.
3(10)+5y=20
30+5y=20
Subtract both sides by 30.
5y=-10
Divide both sides by 5.
y=-2
So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.
Answer:
(10,-2)
Step-by-step explanation:
since they already give u x, u can just sub it into the other equation
3(10)+5y=20
30+5y=20
5y=20-30
5y=-10
y=-2
I don’t understand someone please give me answer
Answers
Order the expressions
Answers
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
Rihanna used this number line to solve this problem. Which problem could she have been solving
Answers
Answer:
what kind kind of prob
Step-by-step explanation:
dp you have a Story
Answer:
there is no picture to explain your qustion and im confused
Step-by-step explanation:
The area of the shaded region is 20 cm. Find the value of x
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The first modern humans appeared on Earth about 200,000 years ago. Would it be possible to measure that number in terms of feet on the football field? Explain your answer.
Answers
Yovani can do 8 math problems in 1 3/5 of a
minute. How many problems can he
complete per minute?
Answers
Answer:
5 Problems
Step-by-step explanation:
Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]
Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]
Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]
Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]
Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]
Cross out the common factor: 5
get the result: 5
Answer: 5
Which expression can be used to find the product of 57 x 44?
Answers
Answer:2508
Step-by-step explanation:
Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answers
Answer:
-7
Step-by-step explanation:
Because the step in puting slope is respectly (x,y)
Please help me solve #9, and please 10
Answers
Answer:
#9. y = -250x
#10. y = -2500, x = 100
Step-by-step explanation:
y = mx +b
y: y-value
m: slope
x: x-value
b: y-intercept
since your answer for #8 is -250, the slope would be -250 or m would be -250
y = -250x+b
now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)
plug in the points
-250 = -250(1)+b
solve for b
b = 0
thus the equation is y = -250x + 0 or y = -250x
#10 plug in x values and y values into equation to get answer
x = 10 -> y = -250(10) = -2500
y = -25,000 -> -25,000 = -250x
x = -25,000/-250
x = 100
Which inequality represents this sentence?
A number is at least 65
On < 65
On > 65
On > 65
On < 65
Answers
Answer:
n ≥ 65Step-by-step explanation:
A number is at least 65. It means the number n can be 65 or greater.
Its translation is:
n ≥ 65The answer options don't have this included.
Let the number be n
At least 65 means the number is equal to 65 or greater than 65.Hence here we use greater than equal to sign.Inequality:-
[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]
Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х
Answers
Answer:
f(x) = 3 - x.......!!!!
I think so this is the. answer.....!!!
i dont want to fail please anyone with a kind heart help its just thid one question im stuck with :(
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
*Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.*
Answers
Answer:
110
Step-by-step explanation:
there
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
A
Step-by-step explanation:
For every additional goodie bag, you're adding the original number to itself and so on...
Example:
1 Goodie bag = Candy: 2 Toys: 3
2 Goodie bags = Candy: 4 Toys: 6
3 Goodie bag = Candy: 6 Toys: 9
What did Diocletian do to change the way the Roman Empire was ruled?How would we add -3 + (-9) on the number line?
