The point of concurrency of the three angle bisectors of a triangle is incenter
The three angle bisectors of a triangle are concurrent in a point equidistant from the sides of a triangle. The point of concurrency of the angle bisectors of a triangle is known as the incenter of a triangle.
The incenter is the point in the triangle's inscribed circle, which is the circle that is perpendicular to each of the triangle's three sides.The point where the triangle's angle bisectors cross is known as the incenter, which is equidistant from the triangle's three sides. It is a crucial location in triangle geometry, and numerous incenter properties are applied in various triangle-related constructions and proofs.
Therefore, the point at which the three angle bisectors of a triangle meet is called its Incentre.
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If AC=82 and AE=2x+11 find the value of x
Take A, B, C, and D as the quadrilateral's vertices, and BA is created to E. The value of x = 40.
What is meant by value?The value describes the value of each digit in relation to its position in the number. The place value and face value of the digit are multiplied to arrive at the answer. Value equals Place Value minus Face Value.Value is concerned with how much something is worth, whether in monetary terms or in terms of significance. It might imply "declare the value of something," as in "a $200 award," or it can mean "hold something in high regard," as in "I cherish our friendship."Draw the above diagram and add the angles that are missing.
To determine the value of x, use the information provided in the accompanying diagram.
Take A, B, C, and D as the quadrilateral's vertices, and BA is created to E. (say).
Observe the illustration.
[tex]$& \Rightarrow \angle \mathrm{EAD}=70 \\[/tex]
[tex]$& \Rightarrow \angle \mathrm{EAD}+\angle \mathrm{DAB}=180 \\[/tex]
[tex]$& \Rightarrow \angle \mathrm{DAB}=180-70=110[\because E A B \text { is a straight line and } \mathrm{AD} \text { stands on it. }] \\[/tex]
Apply the total of internal angles in step two.
We are aware that a quadrilateral's inner angle total is 360.
[tex]& \Rightarrow \angle \mathrm{DAB}+\angle \mathrm{ADC}+\angle \mathrm{DCB}+\angle \mathrm{CBA}=360 \\[/tex]
[tex]$& \Rightarrow 110+80+56+3 \mathrm{x}-6=360 \\[/tex]
[tex]& 0 \quad 0 \quad 0 \quad 0 \quad 0 \\[/tex]
[tex]$& \Rightarrow 3 \mathrm{x}-6=360-110-80-56[/tex]
[tex]\Rightarrow 3 x-6=114 \\0 \\[/tex]
[tex]\Rightarrow x=120 \\[/tex]
[tex]\Rightarrow x=40 \\[/tex]
0
Therefore the value of x = 40. Hence, option A is correct.
The complete question is:
Use the information given in the following figure to find the value of x.
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Billy deposited $5,000 in an account earning 1% interest compounded annually.
To the nearest cent, how much interest will he earn in 1 year?
Answer:
$50.00 is the amount of interest
Simplify: –3|–2|+ 4|–5|
You want to solve the following system of equations by addition. What should
you do first, so that one variable is eliminated when you add the equations?
-2x+4y= 10
3x-2y=-7
OA. Multiply the top equation by 2 and the bottom equation by 3.
B. Multiply the top equation by 3 and the bottom equation by-2.
C. Multiply the bottom equation by 2.
D. Multiply the top equation by -3.
SUBMIT
Answer: C
Step-by-step explanation:
The two variables need to be eliminated. You can do this by multiplication or subtraction.
Multiply by -3 to the top equation will eliminate the x variable in the system
-3(2x - 4y = 5)
6x - 3y = 10
==> -6x + 12y = -15
6x - 3y = 10
adding a top with a bottom will eliminate the x
==> -6x + 6x = 0, 12y + (-3y) = 9y, -15 + 10 = -5
A school orchestra has 60 members 20%of the members are percussionists,how many orchestra members are percussionist
Answer:
12
Step-by-step explanation:
10% * 60 = 6
20% * 60 = 12
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 17.
The range is the best measure of variability, and it equals 4.
The IQR is the best measure of variability, and it equals 4.
The range is the best measure of variability, and it equals 17.
The IQR is the best measure of variability, and it equals 4.
When creating a serial dilution from 1/10 to 1/1000, the first dilution will be [a] part sample and [b] parts diluent (what you dilute the sample in). The second dilution will be one part [c] and nine parts [d]. The final dilution will be one part [e] and nine parts diluent.
The answer is: 1 part sample, 9 parts diluent, 1 part of the first dilution, 9 parts diluent, 1 part of the second dilution, 9 parts diluent
When creating a serial dilution, the starting concentration is typically given as a ratio of sample to diluent. For example, a 1/10 dilution would mean that there is one part of sample and nine parts of diluent.
Now when we create a serial dilution from 1/10 to 1/1000, the first dilution will be 1 part sample and 9 parts diluent. The second dilution will be one part of the first dilution and nine parts diluent. The final dilution will be one part of the second dilution and nine parts diluent.
Thus, the answer is:
1 part sample
9 parts diluent
1 part of the first dilution
9 parts diluent
1 part of the second dilution
9 parts diluent
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____ The given question is incorrect, the correct question is given below:
When creating a serial dilution from 1/10 to 1/1000, the first dilution will be _______ part sample and ______ parts diluent. The second dilution will be one part ____ and nine parts _____. The final dilution will be one part _____ and nine parts diluent.
Choices:
1(one)
9(nine)
1/10 dilution
1/100 dilution
1/1000 dilution
diluent
Graph and find the area of the figure with vertices (-3,-2),(-2,-),(1,1), (0,-2) NEED help pls
Answer: The formula for finding the area of a triangle is A = 1/2(x1)(y2-y3)+(x2)(y3-y1)+(x3)(y1-y2).
Plugging in the given coordinates, the area of the triangle is:
A = 1/2(-3)(-1-1) + (-2)(1-(-2)) + (1)(-2-(-1))
A = 1/2(-3)(-2)+(-2)(3)+1(-3)
A = -9+6-3
A = 4
Step-by-step explanation: Step 1: Identify the formula for finding the area of a triangle: A = 1/2(x1)(y2-y3)+(x2)(y3-y1)+(x3)(y1-y2).
Step 2: Plug the given coordinates into the formula: A = 1/2(-3)(-1-1) + (-2)(1-(-2)) + (1)(-2-(-1)).
Step 3: Simplify the equation: A = 1/2(-3)(-2)+(-2)(3)+1(-3).
Step 4: Solve the equation: A = -9+6-3.
Step 5: Find the area of the triangle: A = 4.
What is 20% of 10? Because I can’t do it
Answer:
2
Step-by-step explanation:
20% = 0.2
What is 20% of 10?
We take
10 times 0.2 = 2
So, 20% of 10 is 2.
HELP ASAP !!!!!!!PLEASE
The both are exponential functions from the fact that the both are raised to a give power. The constant and rate of both functions are different.
What is a function?A function is a block of code that performs a specific task. In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
We can see that the two functions that we here are all such that we can be able to see that they are exponential in nature as shown in the image that depicts the question that has been asked.
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how much 10 ml in teaspoon?
There are approximately 1 teaspoon in 5 milliliters. Therefore, in 10 milliliters we have 2 teaspoons approximately.
When converting between milliliters and teaspoons, it's important to know that 1 teaspoon is equal to approximately 5 milliliters. Therefore, to convert 10 milliliters to teaspoons, you would divide 10 by 5, which gives you 2. This means that there are approximately 2 teaspoons in 10 milliliters. It's worth noting that while teaspoons are commonly used in the United States and other countries that use the imperial system of measurement, most countries use the metric system, which uses milliliters as the standard unit of volume. Therefore, it can be helpful to know how to convert between these units of measurement, particularly if you're following a recipe or taking medication that uses a different system than what you're used to.
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What does the size of stiffness matrix depend on?
the size of the stiffness matrix depends on the number of degrees of freedom and the type of elements used in the analysis. It is an important tool in structural mechanics and engineering for analyzing the behavior and performance of structures under different loading conditions.
In structural mechanics and engineering, the stiffness matrix is a mathematical representation of the stiffness of a structure, which relates the forces and displacements of the structure. The size of the stiffness matrix depends on several factors, including the number of degrees of freedom and the type of elements used in the analysis. The number of degrees of freedom (DOF) in the system determines the size of the stiffness matrix. DOF refers to the number of independent displacements or rotations that a structure can undergo in response to external forces. For example, a simple beam structure might have two DOF (vertical displacement and rotation), while a more complex structure such as a truss or frame might have many more DOF. The size of the stiffness matrix also depends on the type of elements used in the analysis. Different types of elements have different degrees of freedom and stiffness properties, which affect the size and shape of the stiffness matrix. For example, a truss element has two DOF and a constant axial stiffness, while a beam element has four or six DOF and variable stiffness properties that depend on its geometry and material properties.
In summary, the size of the stiffness matrix depends on the number of degrees of freedom and the type of elements used in the analysis. It is an important tool in structural mechanics and engineering for analyzing the behavior and performance of structures under different loading conditions.
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please answer this for me
Answer:
Step-by-step explanation:
where is the equation?
Answer:
Step-by-step explanation:
Multiply 4.75 by 2 to find out how much money Maurice gets when finishing 2 chores. $4.75 x 2 = $9.50. So, write $9.50 under 2. For three chores, multiply $4.75 by 3. $4.75 x 3 = $14.25. Write $14.25 under 3.
4 of 5
Part 1: The function c (m) = 60 + 10m gives the monthly cost "C" of visiting a gym as a
function of the number of visits "m."
What would the inverse function tell us?
O The minimum number of visitis
O The visits for a cost of $60
O The cost in terms of visits "m"
O The number of visits made for a costs of "C"
Option (4): The inverse of the function tells us the number of visits m that can be made for a cost of c.
What is meant by the inverse of a function?
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function.
A function that can reverse into another function is known as an inverse function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as " f ⁻¹ " or " F ⁻¹."
Given a function,
c(m) = 60 + 10m
where c = cost of visiting the gym
m = number of visits
Then the Inverse function is:
c(m) - 60 = 10m
m = (c(m) - 60) / 10
Therefore the inverse of the function tells us the number of visits m that can be made for a cost of c.
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Please help
Which polygon appears to be regular?
Responses Figure A Figure B Figure C Figure D
I think it might be A or C but I'm not entirely sure.
None of the given polygons appears to be regular.
Describe Regular Polygon?A regular polygon is a polygon with all sides and angles of equal measure. In other words, a regular polygon is a shape with straight sides that has all angles and sides of equal length.
The simplest example of a regular polygon is a equilateral triangle, which has three sides of equal length and three angles of equal measure. Another example is a square, which has four sides of equal length and four right angles of equal measure.
Figure A is a rhombus, which has opposite sides parallel and all sides equal, but it has two acute angles and two obtuse angles, so it is not regular.
Figure B is a parallelogram, which has opposite sides parallel, but not all sides and angles equal, so it is not regular.
Figure C is a right-angled triangle, which has one right angle, but not all sides and angles equal, so it is not regular.
Figure D is a trapezoid, which has at least one pair of parallel sides, but not all sides and angles equal, so it is not regular.
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(asap help!)
Explain step by step please
The inequality form is 4/3<x<11.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
The given inequality is log₂(3x-4)<log₂(2x+7)
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: 4/3<x<11
Interval Notation:(4/3,11)
Therefore, the inequality form is 4/3<x<11.
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of the
sat
5) The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 5 vans and 4 buses with 205 students. High
School B rented and filled 5 vans and 13 buses with 475 students. Each van and each bus carried
the same number of students. How many students can a van carry? How many students can a
bus carry?
The number of students the van carry is 17
the number of students the bus carry is 30
How to find the number of students can a bus carryLet's assume that a van can carry "v" students and a bus can carry "b" students.
From the information given, we can set up two equations:
5 vans + 4 buses = 205 students
5 vans + 13 buses = 475 students
We can write these equations as
5v + 4b = 205
5v + 13b = 475
solving simultaneously we have
v = 17 and b = 30
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Simplify the expression. #1-2
Answer: 1/2
Step-by-step explanation:
Tyler is working two summer jobs, making $25 per hour tutoring and making $9 per
hour clearing tables. In a given week, he can work no more than 18 total hours and
must earn a minimum of $270. If a represents the number of hours tutoring and y
represents the number of hours clearing tables, write and solve a system of
inequalities graphically and determine one possible solution.
One possible solution is to tutor for 11 hours and clear tables for 5 hours
How to write and solve a system of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
$25 per hour tutoring and making $9 per hour clearing tables. He can work no more than 18 total hours and must earn a minimum of $270Using the above as a guide, we have the following:
25x + 9y ≥ 270
x + y ≤ 18
Where
x = hours tutoring
y = hours cleaning tables
Next, we plot the graph (see attachment)
One solution from the graph is (11, 5)
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If the sky is clear then we can see the stars at night
Yes, that is correct; If the sky is clear, we are able to see the stars at night.
A star is a celestial body that maintains its shape thanks to its own gravity. Also, a star has the ability to generate its own light, an example of a star is the Sun.
The stars are always there, but during the day, the brightness of the sun makes it impossible for us to see them. However, at night when the sun is no longer visible, the stars become visible to us. This is why we can see the stars in the sky at night when there are no clouds obstructing our view.
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Answer:
this is true
Step-by-step explanation:
pls help asap I need to get this done by tmw
The interest that Marisol will earn in a period of 5 years is C. $ 1, 437. 50
The number of years that Marisol kept the account open, given the amount she receives when she closes her account is 12 years .
How to find the interest ?The simple interest on the account per year is :
= 5, 000 x 5. 75 %
= $ 287. 50
In 5 years, this is:
= 287. 50 x 5
= $ 1, 437. 50
The number of years that Marisol left the account open was :
= ( 8, 450 - 5, 000 ) / 287.50 per year
= 12 years
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The first part of the question is :
Marisol deposits $5,000 in a savings account earning 5.75% simple interest per year.
How do you solve this?
72a^3b^4/6a^2b
The expression (72a³b⁴) / (6a²b) is equivalent to the expression 12ab³.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (72a³b⁴) / (6a²b)
Simplify the expression, then we have
⇒ (72a³b⁴) / (6a²b)
⇒ 12ab³
The expression (72a³b⁴) / (6a²b) is equivalent to the expression 12ab³.
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[tex]1\frac{2}{3} :2\frac{2}{3}[/tex]
5/3 :8/3= 5/3 X3/8 =5/8
The slope, a, of the inverse function is , and the x-intercept of the inverse function is at x =.
The inverse function of f (x) = 1/3x - 2 is f⁻¹(x) = 3(x + 2), the value of a is 3, and the value of x-intercept is x = -2.
FunctionThe sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Each element of X receives exactly one element of Y when a function from one set to the other is used.
According to the question,
f (x) = 1/3x - 2
now to find inverse ,
Add 2 to x term and then divide by 1/3 so, we get,
f⁻¹(x) = (x + 2) / 1/3
f⁻¹(x) = 3(x + 2)
now, compare with f⁻¹(x) = a (x + 2)
a = 3
Calculate the x-intercept by putting f(x) = 0
0 = x + 2
x = -2
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How many ways can
4 candy bars be chosen
from a store that sells 30 candy bars?
Permutation or combination?
The count of the ways in which to chose 4 candies from a store that sells 30 candy bars, obtained by the combination formula, are 27405 ways
What is a combination in mathematics?A mathematical combination, is the ways in which a number of items can be chosen from a set of items, excluding a reference to the order in which the items are selected.
The number of ways k items can be chosen from n items, can be found by using the following combinations formula;
[tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]
Therefore, the number of ways 4 candies can be chosen from a store that sells 30 candy bars can be found by plugging in k = 4, and n = 30 as follows;
[tex]\binom{30}{4} = \frac{30!}{4!\cdot (30-4)!} = 27405[/tex]
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I don’t get this math problem4/5 + 3/4
Answer:
AS a fraction: 1[tex]\frac{11}{20}[/tex]
AS a decimal: 1.55
Step-by-step explanation:
4/5 + 3/4
least common multiple of 5 and 4 is 20. Conver [tex]\frac{4}{5}[/tex] and [tex]\frac{3}{4}[/tex] to fractions with denominator 20.
16/20 + 15/20
since [tex]\frac{16}{20} and \frac{15}{20}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{16 + 15}{20}[/tex]
Add 16 and 15 to get 31.
[tex]\frac{31}{20}[/tex]
[tex]\frac{31}{2^{2}x5 } = 1\frac{11}{20}[/tex]
Hope that helps and have a great day! =) ~sunshine~
ASAP
will give brainliest to correct answer
20pts
Answer:
5, 18 and 7 respectively
Step-by-step explanation:
4+9+5=18
18+7=35
Answer:The top box is 11 making the middle boxes 15 20
Step-by-step explanation:
4 11 9
4+11 11+9
15 20
15+20
35
What type of triangle has angle measured of 24 degrees and 105 degrees? (Two answers)
Answer:
Obtuse triangle
Step-by-step explanation:
Obtuse triangle has an interior angle measuring more than 90 degrees.
You want to estimate the mean SAT score for a population of students with a 80% confidence interval. Assume that the population standard deviation is s = 120. If you want the margin of error to be approximately 10, you will need a sample size of_____
The sample size for the given data is 17
What is sample size?The sample size is a term used in market research for defining the number of subjects included in a sample size.
Given that, a sample size has an 80% confidence interval, the population standard deviation is s = 120, the margin of error to be approximately 10, We need to find the sample size,
Sample size = (z-score)²×SD×(1-SD) / (confidence interval)²
z-score of 80% confidence interval = 1.28
Sample size = (1.28)²×0.12(1-0.12)/0.10²
= 1.6384×0.12×0.88/0.01
= 17.30
Hence, the sample size for the given data is 17
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1. A number is less than one-fourth the sum of eight times the number and four.
We can write the inequality as -
{x} < (1/4){8x + 4}
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement as -
"A number is less than one-fourth the sum of eight times the number and four"
We can write the statement as follows.
Let the number be {x}. Then, we can write the inequality as -
{x} < (1/4){8x + 4}
Therefore, we can write the inequality as -
{x} < (1/4){8x + 4}
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