A translation maps one triangle onto the other. Each pair of corresponding sides has the same measure, so they are congruent. △MNO ≅ △QRS by SSS.
What exactly do you mean by congruent?
If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.Use the Distance Formula to find the lengths of.
MN , NO , OM
MN has end points M(4 , 7) And N( 5, 4 )
MN = [tex]\sqrt{ (x_{2} - x_{1}^{2}+ ( y_{2} - y_{1} )^{2}[/tex]
= [tex]= \sqrt{(1)^{2} + ( -3)^{2} }[/tex]
[tex]= \sqrt{ 1 + 9 }[/tex]
[tex]= \sqrt{10}[/tex]
NO has end points N(5, 4) and O(2, 3).
NO = √( 2 - 5 )² + ( 3- 4 )²
= √( - 3)² + ( -1)²
= √ 9 + 1 = √10
OM has end points O(2, 3) and M(4,7)
OM = √( 4 - 2 )² + ( 7 - 3 )²
= √ (2)² + ( 4 )²
= √20
Similarly, find the lengths of QR, RS , SQ
QR has end points Q(2, 5) and R(3, 2).
QR = √( 3 - 2)² + ( 2 - 5 )²
= √(1)² + ( -3)²
= √ 1 + 9
= √10
RS has end points R(3, 2) and S(0, 1).
RS = √( 0- 3)² + ( 1 - 2 )²
= √( -3)² + (-1)²
= √9 + 1 = √10
SQ has end points S(0, 1) and Q(2, 5).
SQ = √ ( 2 - 0 )² + ( 5 - 1 )²
= √ 4 + 16 = √20
So, MN ≅ QR , NO ≅ RS and OM ≅ SQ
A translation maps one triangle onto the other. Each pair of corresponding sides has the same measure, so they are congruent. △MNO ≅ △QRS by SSS.
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Which example illustrates public scientific communication?
A scientist collaborates with other scientists to plan an experiment.
A scientist sends a preview copy of a journal article to some colleagues.
A federal government agency holds a press conference to describe the response to and the dangers of a new virus epidemic.
A federal government agency publishes an article in a professional scientific journal detailing technical details of a new virus.
The example that illustrates public scientific communication is D. a federal government agency publishes an article in a professional scientific journal detailing technical details of a new virus.
What is communication?Communication simply had to do with how messages are passed from the sender to the audience or the other party.
In this case, the example that illustrates public scientific communication is a federal government agency publishes an article in a professional scientific journal detailing technical details of a new virus.
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Write two absolute value functions such that they have a common vertex in Quadrant III and one is the reflection of the other in a horizontal line.
The functions
y = -|x + 4| - 5y=−∣x+4∣−5
y = |x + 4| - 5y=∣x+4∣−5
Both these functions have got a common vertex in the third Quadrant.
They are the reflections of each other in a horizontal line.
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Two tents are in the shape of hemispheres, with circular floors. The ratio of their floor areas is 9: 12.25 . If the diameter of the smaller tent is 6 feet, what is the volume of the larger tent? Round to the nearest tenth.
The volume of the larger tent in the shape of hemispheres, with circular floors, is 89.8 cubic feet.
If the diameter of the smaller tent is 6 feet, then its radius is 3 feet. Solving for the area of its circular floor,
A = πr^2
A = π(3 feet)^2
A = 9π square feet
Using the ratio of the floor areas of the two tents, calculate the area of the circular floor of the larger tent.
9 : 12.25 = 9π square feet : x
where x = area of the circular floor of the larger tent
9x = 12.25(9π)
x = 12.25 π square feet
If the area of the circular floor of the larger tent is 12.25 π square feet, then solving for its radius,
A = πr^2
12.25 π square feet = πr^2
r = 3.5 feet
Hemisphere refers to half of a sphere and its volume is given by the formula V = 2/3πr^3, where r is the radius.
V = 2/3πr^3
V = 2/3 π (3.5 feet)^3
V = 89.79719002 cubic feet
Rounding off to the nearest tenth.
V = 89.8 cubic feet
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Determine the following attributes of the graph below please i only have 8 mins to turn this in 20 points pleaseeee
For the following function, we have that:
The domain is 0 < x ≤ 4.The range is -2 ≤ y ≤ 2.The x-intercepts are x = 1 and x = 3, that is, points (1,0) and (3,0).The y-intercept is y = 2, that is, point (0,2).The maximum value on the interval [1,4] is of 2, at point (4,2).The minimum value on the interval [1,4] is of -2, at point (2,-2).What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In a graph:
The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.Hence, for the graph in this problem, we have that:
The domain is 0 < x ≤ 4.The range is -2 ≤ y ≤ 2.What are the intercepts of a function?The x-intercept of a function is given by the value of x when f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function is given by the value of f(x) when x = 0, that is, the value of y when the function crosses the y-axis.Hence:
The x-intercepts are x = 1 and x = 3, that is, points (1,0) and (3,0).The y-intercept is y = 2, that is, point (0,2).What is the maximum and the minimum value?We have to look at the values of y on the interval, hence:
The maximum value on the interval [1,4] is of 2, at point (4,2).The minimum value on the interval [1,4] is of -2, at point (2,-2).More can be learned about functions at https://brainly.com/question/24808124
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Square root of 9 =3=3=3 and 1 half + 1 half
The larger of two numbers is 7 more than 5 times the smaller. If the sum of the two numbers is 31, what are the two numbers
Answer: x=27 y=4
Step-by-step explanation:
Let the larger of two numbers is x and the smaller of two numbers is y
Hence,
[tex]\displaystyle\left \{ {x-5y=7} \atop {x+y=31}} \right.\\\\\left \{ {{x-5y=7} \atop {x+y-y=31-y}} \right. \\\\\left \{ {{x-5y=7\ \ \ \ \ (1)} \atop {x=31-y}\ \ \ \ (2)} \right. \\[/tex]
Substitute equation (2) into equation (1):
[tex]31-y-5y=7\\31-6y=7\\31-6y+6y=7+6y\\31=7+6y\\31-7=7+6y-7\\24=6y\\[/tex]
Divide both parts of the equation by 6:
[tex]4=y\\Hence,\\x=31-4\\x=27[/tex]
3x3 what is the sum to this..?
Answer:
9
Step-by-step explanation:
3x3=9
Answer:
the sum is 9
Step-by-step explanation:
3×1=3
3×2=6
3×3=9
The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $13 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Answer:
Step-by-step explanation:
The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $15 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part
Number 7 is the one I need help with please
Answer:
23
Step-by-step explanation:
You want to buy a new iPhone 50 that costs $1330 including taxes(13%). How many hours will you have to work to be able to buy this new phone if you make minimum wage which is $14.25 per hour?
Answer:
105.47 hours
Step-by-step explanation:
1300x0.13=172.9
172.9+1300=1502.9
1502.9/14.25=105.47
The average professional hockey player makes $2.78 million a year.
They play an average of 82 games.
How much does the average hockey player make per game?
A. $33,900.00
B. $3,390.00
C. $34,000.00
D. $3,400.00
E. None of the above
Answer:
$34,000.00
Step-by-step explanation:
[tex]2,780,000/82 = 33,902.439\\33,902.439 ~ 34,000.00[/tex]
The average hockey player makes per game is an amount of $34,000.00 which is the correct option would be option (A).
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
The average professional hockey player makes $2.78 million a year.
$2.78 million = $2,780,000
They play an average of 82 games.
The average hockey player makes per game = 2,780,000 / 82
Apply the division operation to get the answer.
The average hockey player makes per game = 33,902.439
The average hockey player makes per game = $33,900.00
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Write the equation of the circle that passes through the given point and has a center at the origin. (Hint: You can use the distance formula to find the radius.) (-2,3)
The equation of the circle that passes through the point (-2 , 3) and has a center at the origin is x^2 + y^2 = 13.
Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (-2 , 3).
radius = distance = √(x2 - x1)^2 + (y2 - y1)^2
radius = √(-2 - 0)^2 + (3 - 0)^2
radius= √4 + 9
radius = √13
The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = √13
(x - 0)^2 + (y - 0)^2 = (√13)^2
x^2 + y^2 = 13
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Tyrone needs 50 volunteers for a concert.
Tyrone has 20% more volunteers than
he needs. Tyrone assigns 15% of the total
volunteers to the stage area. How many
volunteers does Tyrone assign to the
stage area?
Answer:
go
Step-by-step explanation:
i don't understand this shirty app
Answer: 9
Step-by-step explanation:
20% of 50 is 10. So, he has a total of 60 volunteers. He uses 15% of that for the stage area, and 15% of 60 is 9. So, Tyrone assigned 9 volunteers to the stage area.
Write each number as a percent.
1(2/5)
Write a coordinate proof to prove that Δ A B C is an isosceles triangle if the vertices are A(0,0), B(a, b) , and C(2 a, 0) .
An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles triangle.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Given that the coordinates of the vertices of the triangle are A(0,0), B(a, b), and C(2a, 0). Now, to prove that the given triangle is an isosceles triangle we need to find the length of each side of the triangle.
AB = √[(x₂-x₁)² + (y₂-y₁)²]
= √[(a - 0)² + (b - 0)²]
= √(a² + b²)
BC = √[(x₂-x₁)² + (y₂-y₁)²]
= √[(2a - a)² + (0 - b)²]
= √(a² + b²)
AC = √[(x₂-x₁)² + (y₂-y₁)²]
= √[(2a - 0)² + (0 - 0)²]
= √4a²
= 2a
Since the length AB and BC are the same, while the length of AC is different, therefore, ΔABC is an isosceles triangle.
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Write a relationship for a function whose hx values are 6 less than the cube of x
The mathematical expression from the algebraic expression is a x^3 - 6.
According to the statement
We have to find that the expression of the statement in the mathematical form.
So, For this purpose, we know that the
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
From the given information:
The hx values are 6 less than the cube of x
Then
To convert into the mathematical form:
The cube of the x is in the mathematical form is a x^3
Then
And the 6 less than the cube
And in the mathematical form it becomes the
x^3 - 6.
So, The mathematical expression from the algebraic expression is a x^3 - 6.
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Chen buys 11 books for $77. Each book has the same price. What is the price of each book? Show the multiplication or division fact you used to solve the problem?
Answer: $7 per book
Step-by-step explanation:
$77 for 11 books, so we do 77 ÷ 11 = 7
Evaluate x³ for x = 2.
06
02
08
Answer:
8
Step-by-step explanation:
x³; x = 2
2³ or 2 × 2 × 2 = 8
I hope this helps!
Add or subtract as indicated.
25.32 + 109.2 + 8.574
how do i subtract inteargers
Answer:
You remove the difference between the two numbers from each other. E.g., 5-2=3, and 6-4=2.
Step-by-step explanation:
What can you say about and based on the sum of their angles? How are the angles related?
Answer: Do you have a picture of the problem so it will be more sense?
Step-by-step explanation:
Determine whether each sequence is geometric. If so, find the common ratio. 10,4,1.6,0.64, . . . . .
The given sequence is geometric, with common ratio = 0.4.
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.Now, Given: 10, 4, 1.6, 0.64, ....
Here, [tex]\frac{4}{10}=\frac{1.6}{4}=\frac{0.64}{1.6}=0.4[/tex]
That is, the given sequence follows the only necessary condition for a sequence to be geometric.
Hence, The given sequence is geometric, with common ratio = 0.4.
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Simplify.
2 + 8 - 2 [32 + 5 (1 + 2)]}
Your answer should be - 84.
Explanation:
Starting equation: [tex]2\:+\:8\:-\:2\:\left[32\:+\:5\:\left(1\:+\:2\right)\right][/tex]
-Calculate within parentheses [32 + 5 (1+2)] = 47.
Remaining equation: 2 + 8 - 2 x 47
-Multiply and divide (left to right) 2 x 47 = 94
Remaining equation: 2 + 8 - 94
-Add and subtract (left to right) 2 + 8 - 94 = -84
Your final answer is -84
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Hope this helps!
Have a great day and God bless! :)
Problem: using the digits -9 to 9 at most one time each, place a digit on each box to create an equation whose solution is a positive whole number. ("_" is what i need to fill in and the "/" are fractions)
_/_(x)+_/_= _
Considering division signal rules, one possible example of an equation that results in a positive number is:
-9/-3 + 3/1 = 6.
When does a division results in a positive number?A division(fraction) results in a positive numbers if the two terms have the same signal, either both positive or both negative.
Hence, to ensure an expression with a positive result in this problem, the terms in each division got to have the same signal, as the example that follows:
-9/-3 + 3/1 = 6.
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Jan and Dinah both ran for 20 seconds, each at a constant speed. Jan ran 50 mefers and Dingh ran 60 meters. 1. Who was moving faster? Explain how you know. 2. How far did each person move in 1 second?
By calculating speed of each person we can find who is faster.
What is Speed?Speed can be defined as the distance covered with respect to time. It is a scalar quantity. It is calculated as follows
Speed = Distance / Time taken
The time taken by each person is 20 seconds.
Distance covered by Jan = 50 meter
Speed of Jan = Distance / Time taken
Speed of Jan = 50 / 20
Speed of Jan = 2.5 meters per second
Distance covered by Dingh = 60 meter
Speed of Dingh = Distance / Time taken
Speed of Dingh = 60 / 20
Speed of Dingh = 3 meters per second
Since the speed of Dingh is more than Jan, we can say that Dingh is faster.
Distance = Speed × Time taken
Here, time taken = 1 second
This implies Distance Covered = Speed
Therefore, Jan covers 2.5 meters in one second while Dingh covers 3 meters in one second.
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Paul collects comic books. He has 20 books in his collection, and he adds 3 per month. In how many months will he have a total of 44 books in his collection?
F. 5
G. 6
H. 8
J. 15
In 8 months he will have a total of 44 books in his collection.
The correct answer is an option (H)
In this question,
Paul collects comic books. He has 20 books in his collection, and he adds 3 per month.
We need to find the number of months required to have a total of 44 books in his collection.
Let n be the required number of months.
From given information, we get an equation,
20 + 3n = 44
We solve above equation to find the required number of months.
20 + 3n - 20 = 44 - 20
3n = 24
n = 8
Therefore, in 8 months he will have a total of 44 books in his collection.
The correct answer is an option (H)
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50 points
add and write the fraction in its simplest form.
-7/8 + (-2 1/6) =
Answer:-3 1/24
Step-by-step explanation:
The geometric mean of a number and four times the number is 22 . What is the number?
If 22 is the geometric mean of a number and four times the number, then the number is 11.
Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.
To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.
The formula for the geometric mean is given by:
GM = n√x1 x2 . . . xn
Let x = x1 = unknown number
y = x2 = four times the number = 4x
Using the formula in solving geometric mean, plug in the values and variables.
GM = n√x1 x2 . . . xn
22 = √xy
22 = √x(4x)
22 = √4x^2
22 = 2x
x = 11
y = 4x
y = 44
Hence, the number is 11. 22 is the geometric mean of 11 and 44.
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I Need help pls i forgot what to do with this math problem
Answer:
-8^3/7^3 = -512/343
Step-by-step explanation:
3√ (-512/343) = 3√-(8/7)^3 = -8/7
-8^3/7^3 = -512/343
What is the value of this product
Answer:
The value of the product is 2²
