Answer: Four million, one hundred ninety-three thousand, five hundred thirty eight.
Step-by-step explanation:
What is the least amount of information that you need to construct a triangle congruent
Answer:
6 points of data, minimally.
Easiest if they are 3 points.
All data is going to be comprised of more than one unit of data itself.
For 3 points, we need 6 coordinates.
For 3 lines, we need 2 points each, and then 2 coordinates for each point.
Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.
Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.
So in a 2D space, the information required to make a figure is twice the number of vertices.
Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.
“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”
Edit… A closed figure made only of straight line segments.
I'm sorry if it has any wrong ♀️
Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:
the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].
The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.
Some of the steps required in construction of a congruent triangle to a given one are:
1. Draw a line with a straight edge and mark a starting point.
2. copy one of the angles of the given triangle to the marked point on the line drawn.
3. Copy the length of sides of the triangle appropriately.
5. Copy the measures of other angles and length of sides to complete the congruent triangle.
Therefore, some of the least amount of information to be known for the construction are:
the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.Visit: https://brainly.com/question/16912588
Write the slope-intercept form of the equation of each line.
Pls helpppp
Answer:
D) -[tex]\frac{7}{4}[/tex]x + 8
Step-by-step explanation:
The slope-intercept form of the line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.
7x + 4y = 32
Isolate 4y.
4y = -7x + 32
Find y.
y = [tex]\frac{-7x+32}{4}[/tex]
Evaluate.
y = -[tex]\frac{7}{4}[/tex]x + [tex]\frac{32}{4}[/tex]
y = -[tex]\frac{7}{4}[/tex]x + 8
System of equations - urgent please help ben is making a new Twitter account and has 72 followers on his first day. He averages 10 new followers each week after that. Sarah also started a Twitter account and has 100 followers on her first day and averages 3 new followers each week. After how many weeks will they have the same number of followers?
Answer:
4 weeks
Step-by-step explanation:
Step one:
ben has 72 followers on his first day.
He averages 10 new followers each week
let the number of weeks be x
and the total followers be y
y= 72+10x--------1
Sarah also started a Twitter account and
has 100 followers on her first day and averages
3 new followers each week
let the number of weeks be x
and the total followers be y
y= 100+3x--------2
Step two:
let us equate the two expression to get the number of weeks x
72+10x=100+3x
collect like terms
10x-3x=100-72
7x=28
divide both sides by 7
x=28/7
x= 4 weeks
washington high school's head tennis coach, ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but ms. racket provides them with snacks.there is a proportional relationship between the number of students who enroll in ms. racket's tennis camp, x, and the total number of snacks she buys, y.what is the constant of proportionality? write your answer as a whole number or decimal.snacks per student
The constant of proportionality is comes out to be 3.
What is constant of proportionality?When two variables are proportional to one another, their relationship can be expressed as y = kx or y = k/x, where k defines how the 2 factors are related to one another. The above k is recognized as the proportionality constant.
The proportionality constant is the constant value of the ratio of two proportional quantities. When the ratio or product of two varying quantities yields a constant, they are said to be in a proportional relationship. The proportionality constant's value is determined by the type of proportion between both the two given quantities: direct variation or inverse variation.Now according to the question.
The proportionality constant denotes the ratio of the words x and y.
It is found by dividing Δy by Δx.
Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
Consider two values from the table;
y₂ = 39 ; x₂ = 13
y₁ = 30 ; x₁ = 10
Substituting the values in the formula;
Δy/Δx = (39 - 30)/(13 - 10)
Δy/Δx = 9/3
Δy/Δx = 3
Therefore, the value of constant of proportionality is 3.
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The complete question is -
Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.
X Y
10 30
13 39
14 42
21 63
Sarah is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Sarah will spend is given by the equation y=1.5x+16 where y represents the total amount of money, in dollars and cents, and x represents the number of rides Sarah goes on. What is the meaning of the y-value when x=1?
Sarah had spent a total amount of $17.5 as y represents the total amount when x which represents the number of rides which will be 1.
In the given question, It is stated that Sarah had a set price for admission and for ride tickets. The equation representing this situation given in the question is y = 1.5x + 16, where y represents the total amount of money Sarah will spend, and x represents the number of rides she will have in the park.
We have been given a situation in which the value of x is set to be 1. So, taking x = 1 in the equation y = 1.5x + 16, We get :
=> y = 1.5(1) + 16 => y = 17.5
Here we get y = 17.5 which will be the total amount Sarah will spend in the amusement park.
Hence, when x = 1, y tells us the total amount Sarah spends in the amusement park which will be $17.5
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Help me this is due 11:59pm
Step-by-step explanation:
Just count how many answers have at least two (HH)
In this case, it's 4.
The total outcomes are 8
4/8 can be reduced to
1/2
Therefore the probability the outcome has at least two heads is 1/2.
Answer:
[tex] \frac{1}{2} [/tex]
Christie has a total of 15 pieces of fruit are bananas and apples worth $1.59 bananas are $.13 each and apples are seven cents each how many bananas and how many apples does she have
Answer:
a = apple
b = banana
a + b = 15 so a = 15 - b
0.07a + 0.13b = 1.59
substitute a = 15 - b into 0.07a + 0.13b = 1.59
0.07a + 0.13b = 1.59
0.07(15 - b) + 0.13b = 1.59
1.05 - 0.07b + 0.13b = 1.59
0.06b = 0.54
b = 0.54/0.06
b = 9
a = 15 - b
a = 15 - 9
a = 6
answer: 6 apples and 9 bananas
Step-by-step explanation:
* Find b if log, 81=4. A) 5 B) 4 C) 3 D) 2 E) !
Answer:
B
Step-by-step explanation:
You roll a 6 sided die. What is the probability of rolling an odd number or greater than 4?
Answer:
0.66% chance or 4/6 chance
Step-by-step explanation:
what is an algebra?
1. Simplify: (-6a5b+c)
Answer:
−6a^5b+c
Step-by-step explanation:
An 18-foot ladder is leaning against the side of a building forming a right triangle. The angle formed by the ladder and the ground is 60°. Which is closest to the distance, in feet, of the bottom of the ladder from the base of the wall?
Answer:
The distance is 9 feet
Step-by-step explanation:
18 is the length of the hypotenuse.
To find the length of the adjacent side, we take the hypotenuse multiplied by the cosine of the angle which is 60 degrees.
18*cos(60) = 9
hi i am in grade 11 my question is find the equation of the root -3 and 5
Answer:
x² -2x - 15 = 0
Step-by-step explanation:
(x+3)(x-5) = 0
x² -5x + 3x - 15 = 0
x² -2x - 15 = 0
What is the slope of the line represented by 3x - 7y = 28?
Abe starts working out at a gym and begins to lose weight. His weight can be calculated using the equation y = 250 − 3x where y is his current weight and x is the number of weeks he has been working out. Which statement best describes Abe's weight loss?
Answer:
The number of weeks Abe has been working out is the independent variable in the equation.
Step-by-step explanation:
Since Abe's weight is given by the equation
y = 250 − 3x
Every increase or decrease in the value of x in the equation will invariably lead to a change in the value of y.
If for instance Abe works out 5 weeks, her weight would be:
y= 250- 3*5
y=250-15
y=235
If she works out 3 weeks, her weight would be
y=250-3*3
y=250-9
y=241
Hence y weight is dependent variable while x weeks worked out is the independent variable in the equation
Divide (6y2 + lly + 3) by (3y + 1).
A. 2y2 + 1
B. 2y2 + 3
C. 2y + 3
D. 2y + 1
Answer:
ether:
y= 1/3 = 0.333
OR
y= 3/2 = 1.500
Help someone I’ll give brainlist
Answer:
D
Step-by-step explanation:
Answer: I think B
Step-by-step explanation: Hope it helped! :)
3^4
——-
3^2
This is a fraction by the way
Answer:
9
Step-by-step explanation:
3^4= 81
3^2= 9
81/9=9
hope this helped!!!! :)
Answer:
3^4 / 3^2 =
3^2 =
9
A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest number of work days the factory will need to make 5,000 teddy bears? Write an explanation to show how you determined your answer
Select all of the fractions that are equivalent to -2/3
o 2/-3
o -3/-2
o -2/-3
o - 2/3
o -3/2
o -2/2
Please helppp
Answer:
Step-by-step explanation:
⇒o 2/-3 Doesn't matter where the minus is as long as there an odd numbere of them.
o -3/-2
o -2/-3
⇒o - 2/3 This is given. Is it really listed.
o -3/2
o -2/2
There really are only 2 of them. 3/2 in any form is not equal to 2/3.
-2/2 = - 1 not -2/3
-2/-3 There are an even number of - signs. The answer is 2/3
Three fifth of the T-shirts in a T-shirts shop are blue. Five eights of those T-shirts are on sale.One third of the blue T-shirts that are on sale are size medium. What fraction of the shop’s T-shirts are blue T-shirts that are on sale and are size medium?
Answer:
1/8
Step-by-step explanation:
We can just multiply the fractinos
3/5 * 5/8 * 1/3
=
15/120
=
1/8
Alguien me ayuda porfavor
How many Days 'til Christmas
Answer:
13 days till Christmas
Answer:
13 days left
Step-by-step explanation:
25 - 12
= 13
Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.
twenty-seven twenty fifths
twenty-five twenty sevenths
59,049 over twenty-five
twenty-five over 59,049
The value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
How to evaluate the expression?The expression is given as:
3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two
Rewrite properly as:
[3² * 3⁻⁵]/[5⁻²]
Apply the negative exponent law of indices
So, we have
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]
Apply the exponent law of indices
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]
This gives
[3² * 3⁻⁵]/[5⁻²] = 25/27
Hence, the value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
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Determine the answer to (−5) + 4 and explain the steps using a number line.pls help i will give 62 pints
I know you cant see it all but it says find the area of each parallelogram and it also says write an equation that represents each side of each parallelogram please help me ill put 30 pts for this one
Answer:
I might be able to answer this if I could see the numbers for both the parallelograms. I can see it but some of the numbers are cut off.
Step-by-step explanation:
Thank you.
Answer:
Step-by-step explanation:
a.
Base=2+5=7
height=4+2=6
area=7×6=42 sq. units
eq. of base is y=-2
eq. of upper side is y=4
slope of left side is
y-(-2)=(0-(-2))/(-3-(-2))(x-(-2))
y+2=2/(-1) (x+2)
y+2=-2(x+2)
y+2=-2x-4
y=-2x-6
any line parallel to it is
y=-2x+a
(4,0) lies on it.
0=-2×4+a
a=8
eq. of right hand side is
y=-2x+8
b.
base=-3-(-7)=4
height=5-(-2)=7
area=4×7=28 sq. units.
eq. of base is
y=-2
eq. of upper side is
y=5
eq. of left side is
[tex]y-y1=\frac{y2-y1}{x2-x1}(x-x1)\\y-(-2)=\frac {5-(-2)}{0-(-7)}(x-(-7)}\\y+2=1(x+7)\\y=x+7-2\\y=x+5\\any~line~parallel~to~above~line~is \\y=x+k\\point~(0,1) ~lies~on~it.\\so~1=0+k\\k=1\\eq. of ~lie~on~the~right~side~is\\y=x+1[/tex]
can someone solve m - 4m= -6 step by step please?
Answer:
m = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
m - 4m = -6
Step 2: Solve for m
Combine like terms: -3m = -6Divide -3 on both sides: m = 2Step 3: Check
Plug in m into the original equation to verify it's a solution.
Substitute in m: 2 - 4(2) = -6Multiply: 2 - 8 = -6Subtract: -6 = -6Here we see that -6 does indeed equal -6.
∴ m = 2 is the solution to the equation.
what is the ratio of 96:24 in simplest form
Answer:
4:1
Step-by-step explanation:
Answer:
4:1
Step-by-step explanation:
what is the missing coefficient?
(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x
a. 4
b. 8
c. 10
d. 22
Answer:
b is the answer
Step-by-step explanation:
The missing coefficients of x² is 8.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. 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.
here, we have,
According to the question we have been given the expression which is :
(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x
In this we have to find the missing coefficient.
To find the missing coefficients we will solve the L.H.S that is
= (15x^2+11y^2+8x)-(7x^2+5y^2+2x)
First we will eliminate the brackets we get
15x^2+11y^2+8x-7x^2-5y^2-2x
Solving the coefficients of x² terms , y² terms and x terms we get
= 8x² + 6y² + 6x
Which is equal to the R.H.S
Combining both the equation we get the coefficient of the x² is 8.
Hence the missing coefficient is 8.
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Evaluate
(-5)3
Mathematics
Multiply 5 by 3.-15
I hope this is right :P
The value of (-5)³ is -125.
To evaluate the expression (-5)³, we follow the order of operations, which is to perform the exponentiation first.
(-5)³ means raising -5 to the power of 3.
(-5)³ = (-5) × (-5) × (-5) = -125
Therefore, (-5)³ equals -125.
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