Answer:
∠1 is 101 ∠4 is 79 and ∠2 is 79
Step-by-step explanation:
This is because ∠1 is a vertical angle of ∠3 so they have the same angle
For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180
The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
What is speed?The definition of speed is the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity. Speed is a measure of how quickly something moves or is done, or how fast something moves. A car traveling at 45 miles per hour is an example of speed. Someone cleaning a room in 10 minutes is an example of speed. A jaguar's speed is an example of speed.To find how long will it take joe to climb from street level to the roof of the sears tower:
If Joe moves at 0.6 m/s in the vertical direction, the total distance he must cover is 443 meters in the vertical direction. The formula for average speed is now:Average speed = total distance / total timeTotal time = total distance / average speedTotal time = 443/0.6Total time = 738.3 secondsTherefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
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Describe a set math po to guys pang grade 7 what is a set??
Answer:
A set is well-defined so that we can always tell what is and what is not a member of the set
What does it mean when a data set or distribution has more variability than another
Answer: Standard deviation
Step-by-step explanation: The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each score lies from the mean. The larger the standard deviation, the more variable the data set is.
-4x-3=-2x-2 solving for x
Answer:
x = 1/2
Step-by-step explanation:
4x -3 = 2x - 2 There are many ways to approach this problem. I am going to start by subtracting 2x from both sides of the equation.
2x -3 = -2 I am going to add 3 to both sides of the equation
2x = 1 Divide both sides of the equation by 2
x = 1/2
please help thank youuu
Answers are in bold
f(5) = -77g(-4) = -4======================================================
Explanation:
The x is a placeholder for a number.
When we say f(5), we mean f(x) when x = 5
So we'll replace every copy of x with 5 like so...
[tex]f(\text{x}) = -3\text{x}^2 - 2\\\\f(5) = -3(5)^2 - 2\\\\f(5) = -3(25) - 2\\\\f(5) = -75 - 2\\\\f(5) = -77\\\\[/tex]
Notice how I used the order of operations PEMDAS after x = 5 was plugged in.
A similar situation happens with g(-4). We'll plug x = -4 into g(x) to get the following:
[tex]g(\text{x}) = 2\text{x} +4\\\\g(-4) = 2(-4) +4\\\\g(-4) = -8 +4\\\\g(-4) = -4\\\\[/tex]
You can use a graphing calculator or graphing software (eg: Desmos or GeoGebra) to confirm these answers quickly.
Which expression is equivalent to quantity y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power?
NEED ASAP HURRY UP
The simplification of the given expression using laws of Indices is; y³z⁷
How to use Laws of Indices?
We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.
The above can be expressed as;
(y⁻² * z³)/(z⁻⁴ * y⁵)
Collecting like terms gives;
(y⁻²/y⁵) * (z³/z⁻⁴)
= y⁻² ⁺ ⁵ * z³ ⁺ ⁴
= y³z⁷
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Answer:
y^18/z^18
Step-by-step explanation:
PLEASE HELPP!
FIND THE MEASURE OF ANGLE A!!!
Answer:
123
Step-by-step explanation:
supplementary angles add up to 180
(5x - 22) + (x + 28) = 180
5x - 22 + x + 28 = 180
6x + 6 = 180
6x = 180 - 6
6x = 174
x = 174/6
x = 29
<A = 5x - 22 = 5(29) - 22 = 123
The following are the amounts of radiation received at a greenhouse.
6.1 6.8 8.7 9.0 10.2 10.3 10.6 10.8 10.9 11.0 11.1 11.5 11.7 12.2 13.4
find the sample range.
The given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4 then the sample range is 7.3.
What is meant by sample range?A well-liked and straightforward method for comparing the variability of various data distributions is the sample range. The formula for the sample range is the greatest value minus the smallest value. It is based on two values in a data set: the maximum and minimum.
The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.
Arrange all values in your information set from low to high.
Subtract the lowest value from the highest value.
Let the given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4
13.4 - 6.1 = 7.3
Therefore, the sample range is 7.3
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2x+9>17 or 5x+10<10 compound inequalities
Answer: 2x+9>17 or 5x+10<10 compound inequalities is x<0
Step-by-step explanation:
What is Meant by Compound Inequality?
In Mathematics, a compound inequality is a sentence which has two statements connected using the word “and” or by the word “or”. If the statements are connected using the word “and”, then both the statements of the compound sentence are true at the same time. If the statements are connected using “or”, then the compound sentence is true if at least one statement is true.
2x+9>17 or 5x+10<10
Let take 2x+9>17
Subtract -9 on both sides
2x+9-9>17-9
2x+0>8
2x>8
Now we need to divide by 2 both sides
2x÷2>8÷2
x>4
Now we solve 5x+10<10
we need to subtract -10 on both side
5x+10-10<10-10
5x+0<0
5x<0
Now we need to divide 5 on both sides
5x÷5<0÷5
x<0
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0<x>4
the value of x lies between 0 and 4.
A compound inequality is an inequality that combines two simple inequalities. A compound inequality is made up of two inequalities connected by the word “and” or the word “or.” To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.
lets take 2x+9>17
now lets subtract 9 from both sides.
2x + 9 > 17
- 9 > -9
2x > 8
now divide both sides by 2
2x ÷ 2 > 8 ÷ 2
x > 4
lets take the second part i.e 5x +10 <10
substract 10 from both sides
5x + 10 < 10
- 10 < -10
5x < 0
now divide both sides by 5
5x ÷ 5< 0 ÷ 5
x < 0
0<x>4
the value of x lies between 0 and 4.
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Initial estimates of the probabilities of events are known as _____ probabilities.
Initial estimates of the probabilities of events are known as prior probabilities.
Prior probability, in Bayesian statistics, is the probability of an event before new data is collected. This is the best rational assessment of the probability of an outcome based on the current knowledge before an experiment is performed.
The prior probability of an event will be revised as new data or information becomes available, to produce a more accurate measure of a potential outcome. That revised probability becomes the posterior probability and is calculated using Bayes' theorem. In statistical terms, the posterior probability is the probability of event A occurring given that event B has occurred.
The prior probability is the probability assigned to an event before the arrival of some information that makes it necessary to revise the assigned probability. The revision of the prior is carried out using Bayes' rule. The new probability assigned to the event after the revision is called posterior probability.
Initial estimates of the probabilities of events are known as prior probabilities.
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after finishing the prep work, gilberta and maría start removing wallpaper at the same time. gilberta removes the paper at a constant rate of 4.3\,\text{m}^24.3m 2 4, point, 3, start text, m, end text, squared per hour, while maría removes 3.4\,\text{m}^23.4m 2 3, point, 4, start text, m, end text, squared of paper per hour. gilberta's room starts with 35\,\text{m}^235m 2 35, start text, m, end text, squared of paper, and maría's room starts with 30.5\,\text{m}^230.5m 2 30, point, 5, start text, m, end text, squared of paper.
The inequality that depicts when Gilberta has much more wallpaper left throughout her room than Mara does in hers using linear functions is:
t< 5.
A linear function is :A linear function has a straight line as its graph. The following is the form of a linear function. a + bx = y = f(x). One independent variable but one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
According to the given information:Following t hours, the quantities Gilberta and Maria have remaining are determined by:
G(t) = 35 - 4.3t.
M(t) = 30.5 - 3.4t.
Gilberta has more papers when:
G(t) > M(t).
So,
35 - 4.3t > 30.5 - 3.4t
-0.9t < -4.5
Multiplying by -1:
0.9t < 4.5
t < 4.5/0.9
t < 5.
The inequality is:
t < 5.
The inequality that depicts when Gilberta has much more wallpaper left throughout her room than Mara does in hers using linear functions is:
t< 5.
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Evaluate the expression 3^5 five is small and on top
Answer:
243
Step-by-step explanation:
3 to the power of 5
3 x 3 x 3 x 3 x 3
3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243
Givien h(x)= 3x+1, solve for x when h(x) = 4
The value of x = 1 when the value of the function h(x) = 4.
What is a function?The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
Given that,
h(x)= 3x+1
The value of h(x) = 4:
4 = 3x + 1
4 - 1 = 3x
3x = 3
x = 1
Hence, the value of x = 1 when the value of the function h(x) = 4.
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Which data set is the most spread from its mean?
14, 26, 24, 28
O22, 16, 18, 36
O22, 28, 20, 22
O 21, 19, 27, 25
Option B (22,16,18,36)
Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Add all the numbers (22+16+18+36) = 92
Avarage = sum of the all given numbers/ total numbers
total numbers =4
so avarage= mean= 92/4 =23
(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.
Hence the answer is (22,16,18,36).
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George wants 42 liters of a mixture of water and 15% lemon juice. he has a mixture of 5% lemon juice and a mixture of 20% lemon juice. how many liters of the 5% and 20% mixtures should he mix to get what he wants? (round you answer to the nearest tenth if necessary.)
The amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the amount of 5% lemon juice mixture that is needed to be mixed be represented by x, then the amount of 20% lemon juice mixture will be represented by (42-x), because the total mixture is needed to be 42 liters.
Now, given that George wants 42 liters of a mixture of water and 15% lemon juice with a mixture of 5% lemon juice, and a mixture of 20% lemon juice. Therefore, we can write,
5% of x + 20% of (42-x) = 15% of 42 liters
0.05x + 0.2(42 - x) = (0.15×42)
0.05x + 8.4 - 0.2x = 6.3
0.05x - 0.2x = 6.3 - 8.4
-0.15x = -2.1
x = -2.1 / -0.15
x = 14
Further, the amount of mixture of lemon juice that is needed to be mixed can be written as,
5% lemon juice mixture, x = 14 liters20% lemon juice mixture, (42 - x) = 28 litersHence, the amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
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what is the graph
picture below
pls helppppp for brainlest
Answer:
B
Step-by-step explanation:
5x + 4y >= 2
4y >= -5x + 2
y >= -5/4x + 1/2
Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.
Open the cpt manual to the page that contains code 40490. what section of the cpt coding manual is this code listed in?
The section of the CPT coding manual is the code 40490 is listed in is "digestive system."
What is CPT codes?CPT is the language used by providers and payers when billing medical procedures and services for reimbursement.
Some key features regarding the CPT codes are-
CPT or Current Procedural Terminology, is a set of medical codes used to describe the procedures and services performed by physicians, allied health care professionals, provided by trained practitioners, healthcare facilities, outpatient facilities, and laboratories.CPT codes, in particular, are used to notify services and procedures to both federal and private payers for repayment of rendered healthcare services.CPT codes were developed by the American Medical Association (AMA) in 1966 to standardize reporting of medical, surgery, and diagnosis and treatment procedures and services performed in both inpatient and outpatient settings. Each CPT system defines a written description of a process or service, removing the need for the patient's subjective interpretation of what was provided.To know more about the CPT codes, here
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what are the answers ?! help pls !!! this is a timed T-T
Answer:I would say c
Step-by-step explanation: because it is the only one that makes sense
the of a vector is the which that vector makes with
The angle that the vector [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex] makes with the y-axis is (B) tan⁻¹ 2/3.
What do we mean by a vector?Vector is a colloquial term in mathematics and physics that refers to some quantities that cannot be expressed by a single number (a scalar) or to elements of some vector spaces.Vectors were first used in geometry and physics (typically in mechanics) to represent quantities with both a magnitude and a direction, such as displacements, forces, and velocity. In the same way that distances, masses, and time are represented by real numbers, such quantities are represented by geometric vectors.To find the angle of the given vector:
Given: [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]
So,
[tex]\begin{aligned}&\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}} \\&\overrightarrow{\mathrm{A}} \cdot \hat{\mathrm{j}}=\sqrt{13} \cos \theta \\&3=\sqrt{13} \cos \theta \\&\theta=\cos ^{-1}\left(\frac{3}{\sqrt{13}}\right)\end{aligned}[/tex]
Using the formula [tex]\tan \left(\cos ^{-1} x\right)=\frac{\sqrt{1-x^2}}{x}[/tex], we obtain:
[tex]\begin{aligned}&\theta=\tan ^{-1} \frac{\sqrt{1-\frac{9}{13}}}{\frac{3}{\sqrt{13}}} \\&\theta=\tan ^{-1}\left(\frac{2}{3}\right)\end{aligned}[/tex]
Therefore, the angle that the vector [tex]\overrightarrow{\mathrm{A}}=22_1^{\mathrm{A}}+3 \hat{\mathrm{j}}[/tex] makes with the y-axis is (B) tan⁻¹ 2/3.
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The correct question is given below:
The angle that the vector [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex] makes with the y-axis is:
(A) tan⁻¹ 3/2
(B) tan⁻¹ 2/3
(C) sin⁻¹ 2/3
(D) cos⁻¹ 3/2
Converting units is always an exercise in linear relationships. how many inches is 2.50 m? (2.54 cm=1.0 inch)
There are 98.4252 inches in 2.50m.
Unit Conversion is defined as a process that involves multiplication and division by a numerical factor or a particular conversion factor.
For Example .Convert 2m into cm.
As we know that 1m=100cm
multiplying both sides by 2 we get
2m = 200 cm.
According to the question
It is given that 2.54 cm = 1 inch
[tex]1cm = \frac{1}{2.54} inch[/tex]
[tex]100cm=\frac{100}{254} inch[/tex]
[tex]1m = \frac{100}{2.54}[/tex] ( as 100cm = 1m)
we need 2.50 m So we multiply both sides by 2.50
[tex]2.50m=\frac{2.50*100}{2.54} \\\\ 2.50m=\frac{250}{2.54}[/tex]
[tex]2.50m=98.4252 inch[/tex]
Therefore , there are 98.4252 inches in 2.50m.
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Someone know this? The graph of g(x)is the graph of f(x)=x2 shifted 4 units left, vertically stretched by a factor of 3, then shifted 5 units up. What is the function rule for g(x)?
The function g(x) is given as: g(x) = 3 ( x + 4 )^2 + 5
Given data
f(x)=x2
shifted 4 units left
stretched by a factor of 3
shifted 5 units up
How to find the function rule for g(x)The function g(x) is formed from the function f(x) by the following moves:
Shifting 4 units to left
To shift the graph 4 units to the left is given by
f(x) = x^2
f(x) = ( x + 4 )^2
Stretching by a factor of 3
to stretch by a factor of 3 means multiplying by 3
f(x) = 3 * ( x + 4 )^2
f(x) = 3 ( x + 4 )^2
Shifting 5 units up
This movement is shows in the y axis and is represented as follows
f(x) = 3 ( x + 4 )^2 + 5
At this stage the function rule for g(x) is completed hence
f(x) = 3 ( x + 4 )^2 + 5 = g(x)
and
g(x) = 3 ( x + 4 )^2 + 5
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One number is six more than the other number . thesum of their squares is 90
Answer:
the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.
I really need help in this question
The height of the isosceles triangle is 8.08 cm.
Given the sides of the triangle are:
a = 9 cm (one side of the triangle)
b = 8 cm ( base of the triangle)
Therefore, height of the triangle =?
An isosceles triangle's height is determined by measuring perpendicularly from one vertex to the other's triangle base. A triangle's height is one of its crucial parameters since it enables us to determine the triangle's area.
we know that h = √a²₋ b²/4
substitute a and b values in the above formula, to find height:
h = √9² ₋ 8²/4
h = √81 ₋ 64/4
h = √(81 × 4) ₋ 64 / 4
h = √324 ₋ 64/4
h = √260/4
h = √65
h= 8.06 cm
Therefore the height of the isosceles triangle is 8.06 cm.
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The finances of a group of pet owners were analyzed to determine how much they were spending on their pet(s) each year. A graph of that data is shown:
A graph with Number of Owners on the x axis and Yearly Cost of Pets, in hundreds, on the y axis. The x axis has a scale from 1 to 10 with an increment of 1. The y axis has a scale of 5 to 15 with increments of 1. A curved line connecting 1, 15, approx 3, 7, and 10, 0 is drawn.
Would (3, 7.2) be a realistic solution for the function? Explain.
Group of answer choices
Yes, it is realistic to have 7.2 owners who spend $300 dollars on their pet(s).
No, it is not realistic to have 3 owners.
Yes, it is realistic that 3 owners spend $720 a year on their pet(s).
No, it is not realistic that owners spend $720 a year on their pet(s).
It is realistic that 3 owners spend $720 a year on their graph
C) Yes, it is realistic that 3 owners spend $720 a year on their pet(s).Given that
In the displayed graph, the y-axis shows the annual cost of pets in hundreds of dollars, while the x-axis shows the number of pet owners.The graph's path through the points(1,15),(3,7), and (10,0).To find
Would (3, 7.2) be a realistic solution for the function?So, according to the question
We can say that,
3 owners are present and,
A pet's annual cost is $720.
So, the option C (Yes, it is realistic that 3 owners spend $720 a year on their pet(s) ) is correct explanation of it.
Because no fractional value can represent the number of owners. Therefore, having 7.2 owners is not feasible and other options showing only one value. So A, B, and D are wrong answer.
C) Yes, it is realistic that 3 owners spend $720 a year on their pet(s).
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A triangle has sides measuring 2.5x cm, 3x cm, and (2x+3) cm. the perimeter measures 60 cm.
The value of x is 7.6cm and the sides of the triangle are 19cm, 22.8cm and 18.2cm
Perimeter of triangle
The perimeter of a triangle is defined as the total length of its boundary.
The formula for the perimeter of a scalene triangle is
Perimeter = a + b + c,
where
"a", "b", and "c" are the three different sides.
Given,
A triangle has sides measuring 2.5x cm, 3x cm, and (2x+3) cm.
The perimeter measures 60 cm.
Here we need to find the value of x and the sides of the triangle.
Let the values of
a = 2.5x cm
b = 3x cm
and
c = (2x+3) cm
Then,
Apply the values on the formula for perimeter,
Then we get,
=> P = (2.5x) + (3x) + (2x +3)
=> P = 7.5x + 3
Now, apply the value of perimeter,
As P= 60,
Then.
=> 60 = 7.5x + 3
=> 7.5x = 60 - 3
=> 7.5x = 57
=> x = 57/7.5
=> x = 7.6
So, the sides of the triangle are,
a = 2.5x => 2.5 (7.6) = 19
b = 3x => 3(7.6) = 22.8
c = (2x+3) => 2(7.6) +3 = 15.2 + 3 = 18.2
Therefore, the sides of the triangle are 19, 22.8 and 18.2.
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guys helepepepe Which lines are perpendicular?
will give ur brainliest help plss
Answer:
All the lines (A,B,C) are perpendicular because they are all intersecting at a 90 degree angle.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
What can you conclude from the results of (a), (b), and (c)? a. when each entry is multiplied by a constant k, the sample mean and the sample standard deviation remain unaffected.
It is true that the sample mean and the sample standard deviation remain unaffected.
What is mean ?Mean is the average of the given data.
According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.
Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.
Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.
As each term is multiplied by k we have divide by k which is
= ky/k
= y.
So from both the results we can observe that the mean and the standard deviation remains same.
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Kyle found the product of two rational expressions and identified the excluded values of the expression. However, he made a mistake in his work and included an extra number in his list of excluded values. His work is shown below.
Select the step where Kyle made his first mistake. Then select the number that should not be included in the list of excluded values.
Answer:
Step-by-step explanation:
Mistake in step 3 the (2x+1) and the (x-1) both cancel out but the other binomials (x + 3) and (x - 3) are different so don't cancel out.
Step 3 should be 3(x-3) / 4(x+3)
3 should not be an excluded value.
2. Given the plane DGF in the diagram, which points are collinear?
1. G, E, and F
2. D, E, and F
3. H, G, and D
4. G, D, and E
Answer:
2. D, E, and F
Step-by-step explanation:
Points lie on the same straight line also called euclidean geometry.
el ortocentro y varicentro de un triángulo equilátero son el mismo punto
Answer: The orthocenter and varicenter of an equilateral triangle are the same point?
Step-by-step explanation
Answer: De nuevo, puedes ver que el baricentro, el ortocentro y el circuncentro son todos el mismo punto para un triángulo equilátero. Tenemos un centro más para comparar, el incentro. Como habrás sospechado, el incentro es el mismo punto que los otros tres para un triángulo equilátero.
Step-by-step explanation: