The pre-image and image have the same shape after dilatation, but they are not the same size.
In the given question, we have to explain what is true about an image after a dilation.
The pre-image and image have the same shape after dilatation, but they are not the same size.
The figure is the same from every perspective. The midpoints of the figure's sides and the dilated shape's midpoint are both unchanged. Lines that are parallel and perpendicular to one another in the figure are identical to those in the dilated figure. The pictures stay the same.
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The number of pages cameron reads varies directly with time in minutes. He can read 15 pages in 60 minutes. What is the constant of proportionality for the number of minutes to read 1 page.
The constant of proportionality is 0.25
What is Unitary Method ?Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.
According to the given information
Applying Unitary Method
Pages have a direct relationship with time.
N ∝ t
N = k × t
k is constant of proportionality
Time taken to read 15 pages = 60 minutes
Time taken to read 1 page = [tex]\frac{15}{60}[/tex]
= 1/4
1/4 is constant of proportionality
k = 0.25
The constant of proportionality is 0.25
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Ruby is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.50. Ruby spent $15 altogether at the carnival and the number of games she played is twice the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Ruby played, x, and the number of rides Ruby went on, y.
$15 = 1.25x + 2.50y
x number of games, y = number of rides
Graphing this will show a line with coordinates (x, y) on it who 'fit' in this equation to make it = 15
I graphed points where both x and y are whole numbers.
These are answers to the equation that make it = 15.
Graph the line 2x = y (2 times the number of games is the number of rides)
Where the lines intersect is where number of rides is twice taht of games, and the price is 15.
Visually, we can determine that they intersect at (2.4, 4.8)
To verify that this is correct, plug them into the first function to see if this gives you 15.
It does equal 15.
While these are not whole numbers, they do make the equations true, but in the real world we would not have numbers like this.
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
How do you remove split infinitives?
To get rid of the split infinitive move the term that separates the infinitive from the split position.
In the given question we have to explain, how we remove split infinitives.
As we know that,
Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.
When an adverb is inserted between the word "to" and the infinitive verb, a split infinitive results. Move the term that separates the infinitive from the split position to get rid of the split infinitive.
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Find the Value of sin180
find each angle measure to the nearest degree cos C= 0.7193
Answer: c≈44°
Step-by-step explanation:
cos(c)=0,7193
c=arccos(0.7193)
c≈44°
In AABC and ADEF, mZA = 68°,
m/C= m/F = 59°, mZE = 53°, and
AB = DE = 8 units. Can you prove that
AABC = ADEF? If so, write a proof. If not,
explain why not.
Answer:
It is impossible to prove that AABC = ADEF with the information given. In order for us to prove that these two figures are congruent, we would need to know the measures of all the angles in both figures and the lengths of all the sides. Since we only have the measures of some of the angles and the lengths of two sides, we cannot prove that the figures are congruent.
help with example 6
In the given triangle, length of side AD is 5 unit and length of side AB is 7 unit.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
In triangle ABC,
BC is perpendicular bisector or side AC.
The length of side AC = 10, BC = 7,
Since, BD is a perpendicular bisector of AC,
Therefore, D will be midpoint of AC.
AD = DC = AC /2 = 10/2 = 5.
By angle bisector property,
AB/BC = AD / AC
AB / 7 = 5/5
AB = 7
The length of side AB is 7 and Side AD is 5.
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If mr lebedev paid 85$ for a pair of air force ones after a 15% discount,how much was the original price?
The publisher of a high school yearbook charges $24 per yearbook plus a layout fee of $475. The yearbook committee has decided that the publisher will receive no more than $6100. What is the maximum number of yearbooks that can be sold?
With the help of simple mathematical operations, we know that the publisher can sell a maximum of 12 yearbooks.
What are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.
The quantity of operands affects the operation's arity.
The order of operations refers to the rules that govern how to solve an expression with several operations.
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).
So, the maximum number of books that can be sold are:
24 + 475 = 499
Now, the publisher can receive not more than $6100. Then,
6100/499 = 12.22
Therefore, with the help of simple mathematical operations, we know that the publisher can sell a maximum of 12 yearbooks.
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an information technology company claims that a certain model of laptops have mean battery capacity of 5 hours. a consumer report firm wants to show that the actual mean is smaller than the company claims. what should be the null and alternative hypotheses? group of answer choices : versus : : versus : : versus :
Null Hypothesis: The actual mean is equal to the company's claim of 5 hours.Alternative Hypothesis: The actual mean is less than the company's claim of 5 hours.
Null and alternative hypotheses are applied for evaluating statistical theories. In contrast to the null hypothesis, which is a test's default assumption, the alternative hypothesis indicates how your research anticipates an effect or link between variables.
Null hypothesis: The null hypothesis states the expected outcome. In the given situation, the expected outcome is that the actual mean is equal to the company's claim of 5 hours.The alternate hypothesis conveys the null hypothesis' complete opposite.In this case, the alternative hypothesis is that the actual mean is less than the company's claim of 5 hours.
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If you wanted information about a population, it could be impossible to ask everyone. One way to avoid asking everyone is to take a sample. There are many ways to take a sample, including a random sample.
Why might it be important to small subgroups of populations that you use a random sample?
The subgroup can be those who differ from the majority because of physical, ethnic, religious, or other differences. Include an example of a real-life situation that involves a subgroup that supports your response.
Read and reply to another student's post. Your reply should include questions and comments that add to the discussion. For example, you might point out additional reasons that subgroups benefit from random sampling, or how other subgroups might benefit in similar ways to those discussed in the post.
straightforward random sampling With simple random sampling (SRS), each sampling unit of a population has an equal chance of being included in the sample.
What is simple random sampling?In other words, by looking at a smaller sample, you can draw conclusions about a larger population. To find trends in a variety of fields, including business and finance, statistical analysis is frequently utilized. Findings from statistical research can be used by people to improve the decisions they make with regard to their finances, enterprises, and investments.Simple random samples are a common place for researchers to start. As a result, they are able to statistically analyze a sample of people drawn from a larger population or group to get a rough idea of how the entire group will respond.Both pros and cons apply to this research methodology. In this article, we present a brief description of simple random sampling and highlight its benefits and drawbacks.A simple random sample is one of the techniques researchers employ to select a sample from a bigger population.If there is an equal likelihood that any subject will be selected from a population, this strategy will work.In order to draw general conclusions about a group, researchers choose basic random sampling.The simplicity and impartiality of it are two major benefits.Time, money, and the fact that bias may still exist are some of the drawbacks. Another is the difficulty of obtaining a list of a wider population.To Learn more About simple random sampling refer to:
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9) y=3x+1
y=1/3x + 1
Answer:
y = 3 ; x = -3
Step-by-step explanation:
[x + 1 x y = 1/3x + 1] y = 3
SUBSTITUTE
[ x + 1 x 3 = 1/3x + 1
SIMPLIFY
[ x + 3 = 1/3x + 1]
ISOLATE X FOR X + 3 = 1/3X + 1: X = -3
Last week cam's ice cream shop sold 525252 chocolate chip ice cream cones out of a total of 997997997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone?.
The probability that next ice cream cone sold is a chocolate chip ice cream cone is 0.052. The result is obtained by dividing the chocolate chip ice cream cone sold by the total ice cream from the previous week data.
What is probability?Probability is a numerical description of how possible an event to happen. Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sampleThe previous week data shows that
The number of chocolate chip ice cream cones, n(A) = 52The number of ice cream cones, n(S) = 997To estimate the probability that will happen in the future, we use the data happened in the past.
The probability that the ice cream cone sold for chocolate chip variant is
P(A) = n(A) / n(S)
P(A) = 52 / 997
P(A) = 0.052
Hence, the probability of next selling a chocolate chip ice cream cone is 0.052.
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Answer: 52/997
Step-by-step explanation: I checked on khan
If you apply the following
translation:
(x, y) → (x + 3, y − 2)
to the point (0, 1), what are the
resulting coordinates?
Answer:
(3,-1)
Step-by-step explanation:
you have a graph and poin is (0,1) you have 0+3 to make 2 on the horizontil line and they y = -2 so you go down 2 to make (3,-1)
Answer:
(3, -1)
Step-by-step explanation:
Graphical TranslationGraphical Translation is about shifting the coordinates by a certain value towards the left/down (x and y coordinates respectively) for negative signs and towards the right/up (x and y coordinates respectively) for positive signs.
Eg. x is shifted by + 3 units, y is shifted by - 1 unit from the point (9 , 3) , the resulting coordinate will be:
(9 + 3, 3 - 1) = (12, 2)
SolutionGiven from the question:
x is shifted by + 3 units and y is shifted by - 2 units,
Therefore, the resulting coordinates will be:
(0 + 3, 1 - 2) = (3, -1).
Which is the last sentence of the proof? because f e = 1, a2 b2 = c2. because f e = c, a2 b2 = c2. because a2 b2 = c2, f e = c. because a2 b2 = c2, f e = 1.
The last sentence of the proof is Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex]. Hence, option b is the correct answer to this question.
We have that △ABC and △CBD are right-angled triangles.
We have to prove [tex]a^{2} + b^{2} = c^{2}[/tex].
We are given the proof too.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA.
Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA.
The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as
[tex]a^{2}[/tex] = cf and [tex]b^{2}[/tex] = ce.
Adding [tex]b^{2}[/tex] to both sides of the first equation, [tex]a^{2}[/tex] = cf, which results in the equation [tex]a^{2} + b^{2} = cf +b^{2}[/tex].
Because [tex]b^{2}[/tex] and ce are equal, ce can be substituted into the right side of the equation for [tex]b^{2}[/tex], resulting in the equation [tex]a^{2}+b^{2}[/tex] = cf + ce.
Applying the converse of the distributive property results in the equation [tex]a^{2}+b^{2}[/tex]= c(f + e).
Now Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex] .
Hence, the last sentence of this proof is Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex].
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The complete question is -
Which is the last sentence of the proof?
a. Because f + e = 1, [tex]a^{2} + b^{2} = c^{2}[/tex].
b. Because f + e = c, [tex]a^{2} + b^{2} = c^{2}[/tex].
c. Because [tex]a^{2} + b^{2} = c^{2}[/tex], f + e = c.
d. Because [tex]a^{2} + b^{2} = c^{2}[/tex], f + e = 1.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Answer: option b
Step-by-step explanation:
6a+4 when a=1/3
And
5a-2/3
Step-by-step explanation:
1.6a+4 when a=1/3 is 6
2.5a-2/3=0.133
RIP BRO
What is the radius of a circle with equation x² y² 121?
The length of the radius of a circle with the equation x² + y² = 121 is 11 units .
In the question ,
it is given that ,
the equation of the circle is ⇒ x² + y² = 121 ,
we know that the general equation of the circle is given as x² + y² = d² ;
and "d" is the radius of circle ,
On comparing both the equations ,
we get ,
d² = 121
Simplifying the above equation further ,
on taking square root on both the sides ,
we get ,
d = √121 = √(11 × 11)
the radius "d" is
d = 11 units .
Therefore , the radius of the circle is = 11 units .
The given question is incomplete , the complete question is
What is the radius of a circle with equation x² + y² = 121 ?
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Triangle PQR, with vertices P(4,6), Q(8,5), and R(5,9), is drawn inside a rectangle, as shown below.
The area of the given triangle will be A = 4.52 units².
How to find the distance between two points?Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
As per the given,
P(4,6), Q(8,5), and R(5,9)
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
PQ = [tex]\sqrt {\left( {4 - 8 } \right)^2 + \left( {6 - 5 } \right)^2 }[/tex]
PQ = √17 = 4.12
PR = [tex]\sqrt {\left( {4 - 5 } \right)^2 + \left( {6 - 9 } \right)^2 }[/tex]
PR = √5 = 2.25
QR = [tex]\sqrt {\left( {8 - 5 } \right)^2 + \left( {5 - 9 } \right)^2 }[/tex]
QR = √18 = 4.25
The area will be as, √(S(S - PQ)(S - QR)(S - PR)
Where, S = (4.12 + 2.25 + 4.25)/2 = 5.31
Area = √(5.31(5.31 - 4.12)(5.31 - 4.25)(5.31 - 2.25)
A = 4.52 units²
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Answer:
6.5 square units
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7cm}\underline{Area of a triangle}\\\\$A=\dfrac{x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)}{2}$\\\\where:\\ \phantom{ww}$\bullet$ $(x_1,y_1), (x_2,y_2)$ and $(x_3,y_3)$ are \\ \phantom{ww}\;\;\; vertices of the triangle. \\\end{minipage}}[/tex]
From inspection of the given diagram, the vertices of the triangle are:
(x₁, y₁) = P = (4, 6)(x₂, y₂) = Q = (8, 5)(x₃, y₃) = R = (5, 9)Substitute the vertices into the formula to solve for area:
[tex]\implies A=\dfrac{4(5 - 9) + 8(9 - 6) + 5(6 - 5)}{2}[/tex]
[tex]\implies A=\dfrac{4(-4) + 8(3) + 5(1)}{2}[/tex]
[tex]\implies A=\dfrac{-16 + 24 + 5}{2}[/tex]
[tex]\implies A=\dfrac{13}{2}[/tex]
[tex]\implies A=6.5 \; \sf units^2[/tex]
Therefore, the area of triangle PQR is 6.5 square units.
PLEASE HELP ME
im stuck on it
The completed two-column table used to prove that ΔSUV ≅ ΔTVU, can be completed as follows;
Statements [tex]{}[/tex] Reasons
1. [tex]\overline{SU}[/tex] ≅ [tex]\overline{TV}[/tex] Given
2. ∠TSU ≅ ∠STV [tex]{}[/tex] Given
3. [tex]\overline{UV}[/tex]║[tex]\overline{ST}[/tex] [tex]{}[/tex] Given
4. ∠TSU ≅ ∠SUV[tex]{}[/tex] Alternate Interior Angles Theorem
5. ∠TVU ≅ ∠STV[tex]{}[/tex] Alternate Interior Angles Theorem
6. ∠STV ≅ ∠SUV [tex]{}[/tex][tex]{}[/tex] Transitive Property of Congruence
7. ∠TVU ≅ ∠SUV[tex]{}[/tex] Transitive Property of Congruence
8. [tex]\overline{UV}[/tex] ≅ [tex]\overline{UV}[/tex] [tex]{}[/tex] Reflexive Property of Congruence
9. ΔSUV ≅ ΔTVU [tex]{}[/tex] SAS
What are congruent triangles?Two triangles such as ΔSUV and ΔTUV are congruent when the three sides of triangle ΔSUV are congruent to the three sides of triangle ΔTUV.
The details of the reasons used to prove the congruency of the triangles are as follows;
Alternate Interior Angles Theorem
The alternate interior angles theorem states that the alternate interior angles formed by two parallel lines, such as [tex]\overline{UV}[/tex] and [tex]\overline{ST}[/tex] and their common transversals, [tex]\overline{TV}[/tex] and [tex]\overline{SU}[/tex], are congruent.
Transitive Property of Congruence
The transitive property of congruence states that two shapes are congruent to themselves if both shapes are congruent to a third shape.
Reflexive Property of Congruence
The reflexive property of congruence states that a shape, line, or angle is congruent to itself.
SAS
SAS, is an acronym for Side-Angle-Side congruency postulate, which states that, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
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Which answer choice correctly represents an algebraic expression for 8 less than a number? i need help
The algebraic expression for 8 less than a number is x - 8
What is the algebraic expression for 8 less than a number?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations
Let the number be x.
The algebraic expression for 8 less than a number will be:
x - 8.
The expression is x - 8.
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Find the values of x and y.
The value of x is 5.
The value of y is 40°.
What is a triangle?It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
A composite figure that has three triangles.
Two equilateral triangles.
One isosceles triangle.
We see that,
Both equilateral triangles have the same sides and the same angles.
5x - 1 = 24
5x = 24 + 1
5x = 25
x = 5
We see that,
Let the opposite angle of 6y° = m
6y° + 60 + 60 + m = 360
6y + 120 = 360
6y = 360 - 120
6y = 240
y = 40°
Thus,
x = 5 and y = 40°
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Elizabeth has half as many CDs as Jennifer. Which equation would represent the number of CDs that Jennifer has? (Let e = the number of Elizabeth's CDs and j = the number of Jennifer's CDs.)
a) 1/2e = j
b)2e = j
c)2j = e
d)1/2 + j = e
it's A
Step-by-step explanation:
i can feel the changes... i am going to gorge my eyes out :)
Paula bought a ski jacket on sale for $4 less than half its original price. She paid $89 for the jacket. What was the original price?
Question 1 of 10
What is the first thing a lender might do if a borrower is late with a payment?
Answer:
they will probably contact them orrr charge late fees
The first thing a lender might do if a borrower is late with a payment is to send a reminder.
This reminder will usually be a phone call, email, or letter. The reminder will typically state the amount that is due, the due date, and any late fees that may be charged.
If the borrower does not make the payment after receiving the reminder, the lender may then contact the borrower directly. This contact may be made by a phone call, email, or letter. The lender may also try to work with the borrower to come up with a payment plan.
If the borrower still does not make the payment, the lender may then report the borrower to the credit bureaus. This will have a negative impact on the borrower's credit score. The lender may also start legal proceedings to collect the debt.
The specific steps that a lender will take if a borrower is late with a payment will vary depending on the lender's policies and the borrower's situation. However, sending a reminder is usually the first step.
Here are some additional things that a lender might do if a borrower is late with a payment:
Charge late fees.
Terminate the loan.
Sue the borrower.
Foreclose on the borrower's property.
It is important to note that the lender's actions will also depend on the terms of the loan agreement. The loan agreement will typically specify what happens if a borrower is late with a payment.
If you are a borrower who is late with a payment, it is important to contact your lender as soon as possible. You should try to work out a payment plan with the lender. If you do not make the payment, the lender may take legal action against you.
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Which integer represents the following situation:
The scuba diver is 30 feet below sea level.
Question 3 options:
A: -3
B: 33
C: 30
D: -30
Answer:
D. -30
Step-by-step explanation:
Let's say 0 is sea level. If the diver is 30 feet below 0, then they would by 30 below 0, or -30.
PLEASE HURRY The function, f(x), gives the train fare, in dollars, for a child who is “x” years old based on these rules:
-free for children under 5
-$5 for children who are at least 5 but younger than 11
-$7 for children who are at least 11 but younger than 16
Graph this piecewise function
The Piecewise function is
f(x) = [tex]\left \{ \right.[/tex] 0, x<5
5, 5<x<11
7, 11<x< 16
What is Piecewise Function?A function that is defined piecemeal is one that has numerous subfunctions, each of which applies to a distinct interval in the domain. Instead of being a property of the function itself, piecewise definition is a means to express the function.
A piecewise function is a function that is constructed from bits of various functions across various time intervals.
Given:
let x be the age of person.
We have,
free for children under 5$5 for children who are at least 5 but younger than 11$7 for children who are at least 11 but younger than 16let f(x) represents the piecewise function
f(x) = [tex]\left \{ \right.[/tex] 0, x<5
5, 5<x<11
7, 11<x< 16
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solve compound inequality -3a<6 or a-5<-2
The simplified form of the compound inequality - 3a < 6 Or a - 5< - 2
is a > 3 Or a < 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, - 3a < 6 Or a - 5< - 2.
∴ 3a > 6 Or a < - 2 + 5.
a > 6/3 Or a < 3.
a > 3 Or a < 3.
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Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
The complete statements are
Garrick's plant is shorter than Zan's plant, each millimetre of error results in a 11.11% percent error.Garrick's measurement was 2 millimetres off and Zan's was 12 millimetres off. Garrick's measurement was 20% off and Zan's was 12% off.How to complete the statements?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
Garrick's plant:
Actual height = 10 mmMeasured height = 8 mmZan's plant:
Actual height= 100 mmMeasured height = 88 mmGarrick's plant is shorter than Zan's plant and the difference in heights is
Actual difference = 100 mm - 10 mm = 90 mm
Measured difference = 88 mm - 8 mm = 80 mm
The percentage errors are calculated using
Percentage errors = Difference/Actual measurement * 100%
So, we have
Garrick's actual error = (10 - 8)/10 *100% = 20%
Zan's actual error = (100 - 88)/10 * 100% = 12%
Hence, Garrick's measurement was 20% off and Zan's was 12% off.
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two numeric variables x and y exhibit a negative correlation if a. the value of y tends to decrease as the value of x decreases. b. the value of y tends to increase as the value of x decreases. c. the value of y tends to increase as the value of x increases. d. the values of x and y always have the same difference.
If x and y are two numerical variables, they will have a negative correlation. As the value of x declines, the value of y tends to do the same.
Statistics uses the terms correlation or dependency to describe any statistical relationship between two random variables or bivariate data, regardless of whether it is causal or not. When two variables are negatively correlated, one drops when the other grows.Therefore, if the value of x decreases, the value of y will decrease as well.A negative correlation between x and y means that when x increases, y decreases, and when x decreases, y also decreases. This is expressed by the formula y = -x.
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Please help me quick please it’s proofs and am really stuck on this question !!!
Answer:
Step-by-step explanation:
hey buddy thts supper easy just match the d and b