No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or a combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
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Answer:not congruent.
Step-by-step explanation:
Which is a graph of =3−1 y = 3 x - 1 ?
Answer:
The one on the top right
Step-by-step explanation:
first, look at the y-intercept:
two of the graphs (top-right and bottom-left) have the correct y-intercept of (0, -1).
(The y-intercept is 0 and then the last term of the equation in this form)
next, look at the slope:
slope is in the form of rise/run
the slope for this equation is 3, or 3/1
so look at the graphs, find the y-intercept point and go up three cells and over one.
Only one of the graph's lines goes through this point, and that is the top-left one
#7 HELP ME IM STUCK ON THIS
Answer:
30 ft
Step-by-step explanation:
since they're both feet no conversion is needed
multiply the model to scale (5) to find actual
6 * 5 = 30
your answer is 30 ft.
hope this helps:)
Find the values of x and y from the given equal ordered pair (2x, 3y) = (32,81)
Answer:
here,comparing the corresponding elements,
2x = 32 3y = 81
or x = 32/2= 16 or y = 81/3 = 27
x = 16
y = 27
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Another path in the community is 2.1 miles long. It also has benches at 1/3 and 2/3 of the distance from the beginning to the end of the path. How far in miles, is each from the beginning of the path?
PLEASE HURRY
Answer:
0.7 miles
1.4 miles
Step-by-step explanation:
Distance of the first bench from the path = 1/3 x 2.1 miles = 0.7 miles
Distance of the second bench from the path = 2/3 x 2.1 miles = 1.4 miles
Write 23/4 as a mixed number. give your answer in its simplest form.
Answer:
Here is the ans...Hope it helps :)
30. The cost of the building materials will depend in part on the surface area of the structure. The larger the surface area to be covered, the more it will cost to build. Which structure has the smallest surface area?
Answer:
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30-32 sketch the region enclosed by the given curves and find its area.
31. [tex]y=\cos ^{2} x \sin x, \quad y=\sin x, \quad 0 \leqslant x \leqslant \pi[/tex]
Check the picture below.
so hmmm for the sake of completion, let's check where they intersect
[tex]cos^2(x)sin(x)=sin(x)\implies cos^2(x)sin(x)-sin(x)=0 \\\\\\ sin(x)[cos^2(x)-1]=0\implies \begin{cases} sin(x)=0\\ cos^2(x)-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ cos^2(x)-1=0\implies cos^2(x)=1\implies cos(x)=\sqrt{1} \\\\\\ cos(x)=1\implies x=cos^{-1}(1)\implies \boxed{x=\pi}[/tex]
now, notice, in the picture the function that is "above" or the "ceiling" function is the sin(x), so we'll get the area under the curve by using "above" - "below" functions.
[tex]\stackrel{above}{sin(x)}~~ - ~~\stackrel{below}{cos^2(x)sin(x)} \implies sin(x)-[1-sin^2(x)]sin(x) \\\\\\ sin(x)-[sin(x)-sin^3(x)]\implies ~~\begin{matrix} sin(x)-sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +sin^3(x)\implies sin^3(x)[/tex]
now let's use the triple angle identity of sine
[tex]\stackrel{\textit{triple angle identity}}{sin(3x)=3sin(x)-4sin^3(x)}\implies 4sin^3(x)=3sin(x)-sin(3x) \\\\\\ sin^3(x)=\cfrac{3sin(x)-sin(3x)}{4}\implies sin^3(x)=\cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{\pi }~sin^3(x)dx\implies \int\limits_{0}^{\pi }~\left[ \cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \right]dx[/tex]
[tex]\displaystyle \cfrac{3}{4}\int\limits_{0}^{\pi }sin(x)dx-\cfrac{1}{4}\int\limits_{0}^{\pi }sin(3x)dx\implies \left. \cfrac{3}{4} \cdot -cos(x) \right]_{0}^{\pi }-\left. \cfrac{1}{4} \cdot \cfrac{-cos(3x)}{3} \right]_{0}^{\pi } \\\\\\ \cfrac{3}{2}~~ - ~~\cfrac{1}{6}\implies \implies \blacktriangleright \cfrac{4}{3} \blacktriangleleft[/tex]
The area of a circle is 12.56 square kilometers. What is the circle's radius?
Answer:
[tex]r = 2km[/tex]
Step-by-step explanation:
Area =
[tex]area = \pi {r}^{2} [/tex]
[tex]12.56 = 3.14 \times {r}^{2} [/tex]
[tex] {r}^{2} = \frac{12.56}{3.14} [/tex]
[tex] {r}^{2} = 4[/tex]
[tex]r = \sqrt{4} [/tex]
[tex]r = 2km[/tex]
If rosetta sells her house and pays off the mortgage, how much should she receive (assuming there are no other costs associated with selling the house)? $42,000 $50,000 $52,000 $60,000
Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.
How much will Rosetta receive?Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.
This means that the amount she will recieve is:
= Selling price - Mortgage
= 200,000 - 150,000
= $50,000
In conclusion, option B is correct.
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Answer:
B. $50,000
Step-by-step explanation:
2 angles that are supplementary are always linear pair true or false?
Answer: true
Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.
Answer:
true
Step-by-step explanation:
The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18. determine the number of students who scored between 200 and 245
If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.
Then the number of students who scored between 200 and 245 will be
Then the z-score for x = 200
[tex]z = \dfrac{200-225}{18}\\\\z = -1.389[/tex]
Then the z-score for x = 245
[tex]z = \dfrac{245-225}{18}\\\\z = 1.1111[/tex]
Then we have
[tex]\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end[/tex]
Then the number of students who scored between 200 and 245 will be
→ 0.7842 × 1200
→ 941.04 ≅ 941
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NEED HELPP ASAPP SOMEONE HELP
Answer:
[tex]\textsf{C)}\quad g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]
Vertex = (8, -8)
Step-by-step explanation:
Standard form: [tex]y=ax^2+bx+c[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Intercept form: [tex]y=a(x-p)(x-q)[/tex]
where p and q are the x-intercepts
Therefore, the form that most quickly reveals the vertex is
[tex]g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]
The vertex is (8, -8)
Enter the solution (x, y) to the system of equations shown.
Answer:
(2, 5 )
Step-by-step explanation:
y = 2x + 1 → (1)
3y = 4x + 7 → (2)
substitute y = 2x + 1 into (2)
3(2x + 1) = 4x + 7 ← distribute parenthesis on left side
6x + 3 = 4x + 7 ( subtract 4x from both sides )
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
substitute x = 2 into (1) for corresponding value of y
y = 2(2) + 1 = 4 + 1 = 5
solution is (2, 5 )
The elements magnesium (mg) and calcium (ca) play vital roles in maintaining human health, including processes like bone building. the majority of americans have lower levels of magnesium than health experts recommend. do some research in order to propose a possible hypothesis that could explain this phenomenon.
The reason why Americans have lower levels of magnesium than health experts recommend is because of the prevalence of processed food.
What are nutrients?The nutrients in food are those components of food that serve the purpose of nourishing our body. The nutrients present in processed food are different from those present in natural food.
Since many Americans eat a lot of processed instead of natural food, they often lack magnesium which is often absent in processed food.
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The stem-and-leaf plot shows test scores for students in Math 7. How many students earned more than a 65 on their test? Key 4|5 = 45 A) 58 students B) 28 students C) 60 students D) 65 students
Answer:
68 studentsStep-by-step explanation:
Count the number of scores greater than 65
60's ⇒ 8 (2 of 66, 4 of 68, 2 of 69)70's ⇒ 18 (4 of 72, 2 of 74, 2 of 75, 2 of 76, 2 of 78, 6 of 79)80's ⇒ 10 (2 of 81, 2 of 85, 2 of 86, 2 of 87, 2 of 88)90's ⇒ 22 (6 of 90, 2 of 92, 2 of 93, 2 of 94, 6 of 95, 2 of 98, 2 of 99)Total number is
8 + 18 + 10 + 10 + 22 = 68Note: none of answer choices reflect this
Answer:
68 student hope that helps
help ME solve please
kyle runs 5 days a week. On Sunday he runs half of his weekly distance. On monday he runs 1/4 of the remaining distance for the week. What fraction of the weekly distance remains to be run?
A. 1/8
B. 1/4
C. 3/8
D. 3/4
Answer:
B. 1/4
Step-by-step explanation:
We can use the distance = rate ⋅ time formula to find the distance Lee traveled. The formula d = rt looks like this when we plug in the numbers from the problem. The unknown distance is represented with the variable d. To find d, all we have to do is multiply 65 and 2.5.
#46 will give brainliest
Answer:
50
Step-by-step explanation:
This is the equation:
x = 5 + 3y
We know that:
x - y = 35
Meaning we only need to solve for y now:
(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15
Meaning the final formula is
x = 5 + 3(15)
x = 50
Let's set some variables before we solve:
First number ⇒ xSecond number ⇒ yOkay's lets read the question
'x' is 5 more than three times 'y'⇒ [tex]x = 3y +5[/tex]
⇒ [tex]x-3y=5[/tex]
Their difference is 35⇒ [tex]x - y = 35[/tex]
Let's put the two equations together and solve
[tex]x-3y=5 --equation1\\[/tex]
[tex]x-y=35 -- equation2[/tex]
(equation2) - (equation1)
[tex]2y = 30\\y = 15 -- equation 3[/tex]
(equation 3)'s value of y into (equation2)
[tex]x - 15= 35\\x = 50[/tex]
Thus: [tex]x = 50[/tex] and [tex]y = 15[/tex]
The larger number is 50
Answer: 50 or Choice 3
Hope that helps!
Laura is a single taxpayer, she has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. use the tables to complete the statement
Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.
What is a tax bracket?Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.
The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on
whether or not they are singleIf married, whether they are filing jointly; andhow much their annual income is subject to deductibles.It is to be noted that a general answer was provided here due to insufficient details in the question.
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What is the greatest common factor
Of the monomials shown below?
6x^4 y^3 z^4 22xy^3 z^3
A. 66x^4 y^3 z^4
B. 2x^4 y^3 z^4
C. 66x^5 y^6 z^7
D. 2xy^3 z^3
Answer:
Your answer given is that a great common factor of the monomials shown below 6x^4 y^3 z^4 22xy^3
A said Given 66x^4 y^3 z^4
B said Given 2x^4 y^3 z^4
C said Given 66x^5 y^6 z^7
D said Given 2xy^3 z^3
my answer is that C. 66x^5 y^6 z^7
because it greatest common factor
What is the area of the circle?
(3.14 for pi)
Explanation:
The diameter is 64 yards
Divide it in half to get 64/2 = 32 yards as the radius.
Plug it into the formula below to get the area of the circle.
A = pi*r^2
A = 3.14*32^2
A = 3215.36
The area of the circle is approximately 3215.36 square yards.
The area is approximate since pi = 3.14 is approximate.
The owner of a sports complex wants to carpet a hallway connecting two buildings. The carpet costs $2.50 per square foot. How much does it cost to carpet the hallway?
If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The owner of a sports complex wants to carpet a hallway connecting two buildings.
The diagram is given below.
The carpet costs $2.50 per square foot.
The area of the carpet will be given by the area of the trapezium.
Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7
Area = 0.5 x 52 x 7 + 0.5 x 34 x 7
Area = 182 + 119
Area = 301 square feet
Then the cost of the carpet will be
Cost of carpet = $ 2.5 x 301
Cost of carpet = $752.5
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how know ????????????
Answer:
0.16
Step-by-step explanation:
AND = Probability(of 1)*Probability(of 2)
OR = Probability(of 1)+Probability(of 2)
probability of spinning red = 0.2 or 20%
probability of NOT spinning red = 0.8 or 80%
The question says "AND" so 0.2 * 0.8 = 0.16 or 16%
Hope this helps!!!
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On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. it crosses the y-axis at (0, 4). what is the initial value of the exponential function shown on the graph? 0 1 2 4
Answer:
its 4
Step-by-step explanation:
trust me bro im a geinus
The initial value of the exponential function shown on the graph should be 4.
What is an exponential function?The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable in the exponent and the real number in the base.
In this case, the exponential function is:
F(X)=Y
Knowing that the given points correspond to X=0 and Y= 4, when placing in the formula of the function, one finds:
F(0)=4
F(4)=0
So, the initial value of the exponential function shown on the graph should be 4.
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the average of two numbers is 41. If one of the numbers is 27, what is the other number?
The other number if the average of two numbers is 41 and one is 27 is 55
How to calculate the average of numbers?Average of number is also known as the mean.
Let the unknown number be "x" such that:
x +27/2 = 41
Determine the value of x
x + 27 = 2(41)
x + 27 = 82
x = 82 - 27
x = 55
Hence the other number if the average of two numbers is 41 and one is 27 is 55
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Solve the following using inverse matrix also indicate the inverse matrix A-1 that was used to solve the system
7X+8Y=3
4X+6Y=-2
A) The function f is defined by : f(x) = x2+ax+b
a and b are constants.
It is known that: f(0) = 7 and f(-2) = 17
Find the values of a and b.
B) Use the values of a and b to solve this equation: f(x) = 35
x = __ or x = __?
Answer:
A. a = -3 and b = 7.
B. x = -4 or x = 7.
Step-by-step explanation:
A)
f(0) = 0^2 + a(0) + b = 7
So b = 7.
f(-2) = (-2)^2- 2a + 7 = 17
4 - 2a = 17 - 7
4 - 2a = 10
-2a = 10 - 4 = 6
-2a = 6/-2
a = -3.
B)
Substituting a = -3 and b = 7 we get:-
x^2 - 3x + 7 = 35
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x - 7 = 0 or x + 4 = 0
x = -4 or x = 7.
What's the importance of statistics in real life
Answer:
Statistics are incredibly important in real life. For example, we use statistics for weather forecasting. Probability (which is a form of statistics) is used by weather forecasters to figure out how likely it is that there will be rain, snow, sun, etc. on a given day in a certain area.
Step-by-step explanation:
'*•.¸♡ hope i helped, have a great day ♡¸.•*'
A piece rate worker is paid _____.
Answer:
The answer is on the quantity they produce per hour.
Step-by-step explanation:
If they produce more, they will be paid more, based on the rate per finished item
What is the answer please?
Answer:
Alleles because genes come in all different varieties.
I Hope This Helps!!!