Which term describes a line segment that connects a veryex of a triangle to the midpoint of the opposite side?
Answers
A median is a line segment connecting a vertex of a triangle to the midpoint of the opposite side.
The term that describes a line segment connecting a vertex of a triangle to the midpoint of the opposite side is the "median." In triangle geometry, a median is a line segment that joins a vertex of a triangle to the midpoint of the opposite side.
To understand the concept of a median, let's consider a triangle ABC. The midpoint of side BC is denoted as M, and vertex A is connected to M by a line segment. This line segment AM is referred to as the median from vertex A.
Medians have some interesting properties and play a significant role in triangle geometry. Here are a few key characteristics of medians:
1. Medians Divide the Triangle into Two Equal Areas:
Each median of a triangle divides the triangle into two regions with equal areas. The point where all three medians intersect is called the centroid, which is also the center of mass of the triangle.
2. Medians are Concurrent:
The three medians of a triangle are always concurrent, meaning they intersect at a single point called the centroid. This centroid divides each median in a 2:1 ratio, with the longer segment adjacent to the vertex.
3. Medians Divide the Triangle into Six Congruent Triangles:
The medians of a triangle divide the triangle into six smaller congruent triangles. Each of these triangles shares a common vertex with the original triangle.
4. Medians Determine the Centroid:
The centroid of a triangle is the point of intersection of the three medians. It is the balance point of the triangle, where the triangle would perfectly balance on a needle.
In summary, a median is a line segment connecting a vertex of a triangle to the midpoint of the opposite side. Medians have unique properties, including dividing the triangle into equal areas, being concurrent at the centroid, dividing the triangle into congruent triangles, and determining the balance point of the triangle.
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Related Questions
One third of a number Y
Answers
Answer:
⅓y
Step-by-step explanation:
\( \frac{1}{3} \times y \\ = \frac{1}{3} y\)
Angie Adkins paid $95 for a used refrigerator, $115 fora used dining set and $240 for a used living room set. What was the total cost of the items?
Answers
Answer: 450
Step-by-step explanation: 95+115+240=450
I need help! This is due in 30 minutes!!!
Answers
Answer:
It's supplementary
Step-by-step explanation:
They both create 180 degrees when added together because they ar both on a single line.
Answer:
Supplementary angle
Step-by-step explanation:
Which algebraic property (proof reason) would you use to justify the conditional
statement: If 4x = 8, then x = 2*
Answers
Answer:
True
Step-by-step explanation:
Divide each term by 4 then simplify
What we should do now to 136 x 27 = 3672, to get back to 1.36 x 2.7.
Use your answer to explain the placement of the decimal point in 1.36 x 2.7.
Answers
Answer:
Step-by-step explanation:
8.008.009
Kelly bought a pen for $2.50, a pencil for $0.36, a notebook for $3.75, and a highlighter for $1.99. She used a coupon for 10% off. How much did she spend in total?
Answers
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of -2,-1, and 5, and a y-intercept of -10.
Answers
Answer:
y = x³ -2x² -13x -10
Step-by-step explanation:
You want a polynomial with x-intercepts -2, -1, and 5, and a y-intercept of -10.
Polynomial factorsA polynomial with zero x = p will have a factor of (x -p). The three given zeros mean factors of the desired polynomial will be ...
p(x) = (x -(-2))(x -(-1))(x -5) = (x +2)(x +1)(x -5)
Expanding this gives ...
p(x) = (x +2)(x² -4x -5) = x³ -2x² -13x -10
This polynomial has a constant of -10, which will be its y-intercept. No additional scaling is needed.
The polynomial function is ...
y = x³ -2x² -13x -10
Geometry Each of the squares in the figures shown at the right has the
same area, and each of the triangles has the same area. The total area of
Figure A is 141 cm2. The total area of Figure B is 192 cm2. What is the area
of each
square
and each triangle?
Answers
I'm sorry, I swear there's a reason, I can't help you, I even did it.you want, and a tip, never put too high points, you can lose out
the average annual rainfall in the las vegas is 4 1/2 inches. Brian noticed that by November , the total rainfall in the las Vegas was 3 1/2 inches. how much rain is needed by endof the year to reach the annual rainfall of 4 1/2
Answers
Answer:
1 inch
Step-by-step explanation:
To reach the annual rainfall of 4 1/2 inches, Las Vegas needs a total of:
4 1/2 - 3 1/2 = 1 inch
Therefore, Las Vegas needs an additional 1 inch of rain by the end of the year to reach the average annual rainfall of 4 1/2 inches.
Which set of words describes the end behavior of the function f(x)=−5x(x−4)(x+5)(2x+3)?
Answers
Answer:
Falls to the left and rises to the right
Step-by-step explanation:
because
degree =5
leading coefficient =4 and positive it will rise to the right
those are tips to use to determine it :
1. Even and Positive: Rises to the left and rises to the right.
2. Even and Negative: Falls to the left and falls to the right.
3. Odd and Positive: Falls to the left and rises to the right.
4. Odd and Negative: Rises to the left and falls to the right
If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate the standard deviation of this portfolio.
a. 30 percent.
b. 20 percent.
c. 15 percent.
d. 10 percent.
Answers
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
What percent of 28 is 77?
Answers
Answer:
36.3636364%
or 36.36
Step-by-step explanation:
What is the sum of 13/20 and 20/40?
Answers
Answer:
46/40, or 1 3/20
Step-by-step explanation:
\( \frac{13}{20} + \frac{20}{40} \)
to find:the sum of the two fractions.
solution:first find the LCM of the two denominators and rename the fractions with a common denominator atlast, add and simplify.
\( \frac{(13 \times 40) + (20 \times 20)}{20 \times 40} \)
\( = \frac{520 + 400}{800} \)
\( = \frac{920}{800} \)
Reduce by dividing both the numerator and denominator by the Greatest Common Factor which is 40.
\( \frac{920 \div 40}{800 \div 40} = \frac{23}{20} \)
\( = 1 \frac{3}{20} \)
Given that x²y²-3xy+4xy³=4. Find dy/dx by implicit differentiantion
Answers
Answer:
\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{3y-2xy^2-4y^3}{2x^2y-3x+12xy^2}\)
Step-by-step explanation:
Given:
\(x^2y^2-3xy+4xy^3=4\)
Differentiate each term of the equation with respect to x:
\(\dfrac{\text{d}}{\text{d}x}x^2y^2-\dfrac{\text{d}}{\text{d}x}3xy+\dfrac{\text{d}}{\text{d}x}4xy^3=\dfrac{\text{d}}{\text{d}x}4\)
Differentiate the terms in x only (and constant terms):
\(\implies \dfrac{\text{d}}{\text{d}x}x^2y^2-\dfrac{\text{d}}{\text{d}x}3xy+\dfrac{\text{d}}{\text{d}x}4xy^3=0\)
Use the product rule to differentiate terms in both x and y (using the chain rule to differentiate the terms in y).
In practical terms, when differentiating terms in y only with respect to x, differentiate with respect to y and add a dy/dx to the end.
\(\implies \left(x^2 \cdot 2y\dfrac{\text{d}y}{\text{d}x}+y^2 \cdot 2x\right)-\left(3x \cdot \dfrac{\text{d}y}{\text{d}x}+y \cdot 3\right)+\left(4x \cdot 3y^2\dfrac{\text{d}y}{\text{d}x}+y^3 \cdot 4\right)=0\)
\(\implies \left(2x^2y\dfrac{\text{d}y}{\text{d}x}+2xy^2\right)-\left(3x \dfrac{\text{d}y}{\text{d}x}+3y\right)+\left(12xy^2\dfrac{\text{d}y}{\text{d}x}+4y^3\right)=0\)
\(\implies 2x^2y\dfrac{\text{d}y}{\text{d}x}+2xy^2-3x \dfrac{\text{d}y}{\text{d}x}-3y+12xy^2\dfrac{\text{d}y}{\text{d}x}+4y^3=0\)
Rearrange to make dy/dx the subject:
\(\implies \dfrac{\text{d}y}{\text{d}x}(2x^2y-3x+12xy^2)+2xy^2+4y^3-3y=0\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(2x^2y-3x+12xy^2)=3y-2xy^2-4y^3\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3y-2xy^2-4y^3}{2x^2y-3x+12xy^2}\)
Differentiation Rules
\(\boxed{\begin{minipage}{5.4 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\boxed{\dfrac{\text{d}}{\text{d}x}(y)=\dfrac{\text{d}}{\text{d}y}(y)\dfrac{\text{d}y}{\text{d}x}=1\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}x}}}\)
\(\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $ax^n$}\\\\If $y=ax^n$, then $\dfrac{\text{d}y}{\text{d}x}=nax^{n-1}$\\\end{minipage}}\)
\(\boxed{\begin{minipage}{4cm}\underline{Differentiating a constant}\\\\If $y=a$, then $\dfrac{\text{d}y}{\text{d}x}=0$\\\end{minipage}}\)
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HELP memejeieieooJSINEKEJEHEIE
Answers
Answer: They serve as points.
Step-by-step explanation:
If you payed attention in class u would know..
Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
Answers
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
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Type the correct answer in each box. If necessary, use /for the fraction bars
Answers
Answer:
The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Step-by-step explanation:
The complete question is:
Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.
3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6
The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.
Solution:
The possible outcomes of rolling an 8-sided die are:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The odd numbers are:
Odd = {1, 3, 5, 7} = 4 outcomes
The theoretical probability of rolling an odd number is:
\(P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%\)
Now from the given 20 outcomes the odd values are:
Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes
Compute the experimental probability of rolling an odd number as follows:
\(P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%\)
Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
-54\3 PLEASE SHOW WORK AND HURRY
Answers
54/3=18
Since the 54 was negative, answer is -18
Each afternoon, Sanjay looks online to find the value of a stock that shares his initials: SZT. Today, the stock rose 4 points in value.
What integer represents the change in the stock's value?
Answers
The integer representing the change in the stock's value is 4.
What is integer?An integer is a whole number that can be either positive, negative, or zero. It is not a fraction, decimal, or a percentage. Integers are the basic building blocks of mathematics and are used to represent whole numbers in equations. They are also used in computer programming languages to represent whole numbers.
This means that the stock rose by 4 points in value from the previous day. Sanjay can find out the exact value of the stock by looking up its current price online.
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Shari wrote the numbers from 1 to 16 on a card.
Next, she crossed out all the numbers which are factors of 80.
Then, she crossed out all the numbers which are multiples of 3.
How many numbers were not crossed out?
Answers
so we cross out 1,2,4,5,8,10,16
the first 5 multiples of 3 are: 3,6,9,12,15
so we cross out those number and then we are left with 7, 11, 13 and 14
the answer is: 4 numbers were not crossed out
30% of what number is
165
Answers
Answer:
550
Step-by-step explanation:
165 x 100= 16500/30=550
Evaluate 3|12−x|−4 when x=15
Answers
Answer:
5
Step-by-step explanation:
3 x |12 - x| - 4
3 x |12 - 15| - 4
3 x 3 - 4
9 - 4
5
If y varies directly as x, and y = 8 when x = 4, find y when x = 24.
Answers
The value of y is 48
How to calculate the value of y in the variation ?y= kx
let's solve for k which is the constant
y= 8 , x= 4
k= 8/4
k= 2
Next is to calculate the value of y when x is 24
y = 2 × 24
y= 48
Hence the value of y is 48
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5 What is the solution for y in the following system of equations?
7x + 2y = 8
-
7x+6y= -88
Answers
Answer:
working on a answer one second
Step-by-step explanation:
Abby owns a square plot of land. She knows that the area of the plot is between 2200 and 2400 square meters. Which of the following is a possible value for the side length of the plot of land.
Answers
The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.
What is the length?The length is the quantitative measurement of a distance from one point to another position.
Length can also refer to the size of an object that has width or/and height.
Data and Calculations:The square of 2,200m² = 46.9 meters (√2,200)
The square of 2,400m² = 48.99 meters (√2,400)
The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.
Thus, the possible value of the side length of the plot of land is A. 48 meters.
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Question Completion with Answer Options:A. 48 meters
B. 46 meters
C. 44 meters
D. 50 meters
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
Answers
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
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Find the area of the figure. RIGHT ANSWERS ONLY!
Answers
Answer:
56 ft²
Step-by-step explanation:
9*8 = 72
Find the area of the missing gap:
4*4 = 16
Then subtract the 2 results:
72-16 = 56
PLEASE HELP LAST QUESTION 5 MINUTES LEFT
Answers
Answer:
Its to small i cant see it!Step-by-step explanation:
how do you do this 6-2x=10
Answers
The answer: x= -2
Answer:
x= -2
Step-by-step explanation: (remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )
6 - 2x =10
-6 -6
-----------------
-2x = 4
------------
-2 = -2
x = -2
For every $2 Pam saves, her brother saves $7. If Pam has $20 in her account how much does her brother have?
Answers
Answer:
70
Step-by-step explanation: