Dilating point A using center C and scale factor 2.5 gives A'. Dilating point B using Center C and scale factor 2.5 gives image B'. What can you say about line AB and A'B'? What is the length of segment A'B'?
Answers
line AB is original figure, line A'B' is transformed figure. the length A'B' is given by √[(2.5x₂-2.5x₁)²+(2.5y₂-2.5y₁)²]
What is dilation?
A process of transformation in which an image or figure changes from the original shape.
What is dilating point?
The point which is acted as the center for all contraction and expansion is termed as dilation point.
let, point A is (x₁,y₂) and point B is (x₂,y₂). By using scale factor 2.5, both A and B transformed to the position A' and B'.
hence, A' = (2.5x₁, 2.5y₁) and B'=(2.5x₂,2.5y₂)
now length of A'B' =√[(2.5x₂-2,5x₁)²+(2.5y₂-2.5y₁)²]
to learn more about dilation visit:
https://brainly.com/question/13176891
#SPJ1
Related Questions
Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (9y + 3)°, and the measure of angle EFG is (8y + 5)°. What is the measure of angle HGF?
Answers
Answer:
21°
Step-by-step explanation:
In an sosceles trapezoid, the lower base and upper base angles are congurent
⇒ ∠HGF = ∠EFG
⇒ 9y + 3 = 8y + 5
⇒ 9y - 8y = 5 - 3
⇒ y = 2
⇒ ∠HGF = 9(2) + 3
= 18 + 3
= 21
The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.
Explanation:This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.
Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.
Learn more about Isosceles Trapezoid Angle Measure here:
https://brainly.com/question/32850813
#SPJ11
A basketball player scores 12, 19, 31, 19, and 14 points in the first 5 games of a season. How can the relation be represented{(1, 12), (2, 19), (3, 31). (4. 19), (5, 14)}{(12, 1), (19, 2), (31, 3). (19,4), (14,5)}{(1, 2)(3, 4), (5, 12). (19, 31). (19, 14)}{(14, 19). (31. 19). (12,5), (4,3), (2, 1)}
Answers
If we have to organize the list of 5 points that a basketball player games in 5 games. We can use:
(game number, points in that game)
This is the coordinate pair we choose.
The x coordinate is the game number (1 through 5).
The y-coordinate is the scored points in each game (given).
Looking at the choices, the only one that makes sense is First Choice.
Which data point is an outlier in this graph?
у
5
+4
26
+1
Х
-6-5-4-3-2-10
+1 +2 +3 +4 +5 +6
-2
-3
4
-5
Answers
Answer:
I can't find the answer.
Step-by-step explanation:
You should put a photo of the graph and I would be able to tell :)
Sorry
Day care centers expose children to a wider variety of germs than the children would be exposed to if they stayed at home more often. This has the obvious downside of more frequent colds and other illnesses, but it also serves to challenge the immune system of children at a critical stage in their development. A study by Gilham et al. (2005) tested whether social activity outside the house in young children affected their probabilty of later developing the white blood cell disease acute lymphoblastic leukemia (ALL), the most common cancer of children. They compared 1272 children with acute lymphoblastic leukemia to 6238 children without acute lymphoblastic leukemia. Of the acute lymphoblastic leukemia kids, 1020 had significant social activity outside the home (including day care) when younger. Of the kids without acute lymphoblastic leukemia, 5343 had significant social activity outside the home. The rest of the children in both groups lacked regular contact with children who were not in their immediate surroundings.
a.) Is this an experimental or observational study?
b.) What are the proportions of children with significant social activity in children with and without acute lymphoblastic leukemia?
c.) What is the odds ratio for acute lymphoblastic leukemia, comparing the groups with and without significant social activity?
d.) What is the 95% confidence interval for this odds ratio?
e.) Does this confidence interval indicate that the amount of social activity is associated with acute lymphoblastic leukemia? If so, did the children with more social activity have a higher or lower occurence of acute lymphoblastic leukemia?
f.) The researchers interpreted their study results in terms of the differing immune system exposure of the children, but gave several alternative explanations for the pattern. Can you think of any possible cofounding variables?
Answers
Answer:
a) The study is an observational study
b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is approximately 0.802
The proportion of children with significant social activity in children without acute lymphoblastic leukemia is approximately 0.8565
c) The odds ratio is approximately 0.6780
d) The 95% CI is approximately 0.523 < OR < 0.833
e) i) Yes
ii) Children with more social activity have a higher occurrence of acute lymphoblastic leukemia
Step-by-step explanation:
a) An experimental study is a study in which the researcher adds inputs to the study and then monitors the outcomes
An observational study is one in which the researcher observes risk factors and does not intervene in the process
Therefore, the study is an observational study
b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is \(\hat p_1\) = 1020/1272 = 85/106 = \(0.8\overline {0188679245283}\) ≈ 0.802
The proportion of children with significant social activity in children without acute lymphoblastic leukemia is \(\hat p_2\) = 5343/6238 ≈ 0.8565
c) We have the following two way table;
\(\begin{array}{ccc}Lymphoblastic \ Leukemia &With \ Social \ Activity & Without \ Social \ Activity\\With&1020 \ (a)&252 \ (b)\\Without&5343 \ (c)&895 \ (d) \end{array}\)
\(The \ odds \ ratio = \dfrac{1,020 \times 895}{5,343 \times 252} \approx 0.6780\)
The odds ratio ≈ 0.6780
d) The 95% confidence interval for the odds ratio is given as follows;
\(95 \% \ CI = OR \ \pm \ 1.96 \times \sqrt{\dfrac{1}{a} +\dfrac{1}{b}+\dfrac{1}{c}+\dfrac{1}{d}}\)
Where;
a = 1020, b = 252, c = 5343, d = 895
Therefore;
\(95 \% \ CI \approx 0.6780 \ \pm \ 1.96 \times \sqrt{\dfrac{1}{1,020} +\dfrac{1}{252}+\dfrac{1}{5,343}+\dfrac{1}{895}} \approx 0.678 \pm0.155\)
The 95% CI ≈ 0.523 < OR < 0.833
e) i) Given that the observed Odds Ratio is within the Confidence Interval, therefore, there is an indication that the amount of social activity is associated with acute lymphoblastic leukemia
ii) Based on the proportion of the study findings, children with more social activity have a higher occurrence of acute lymphoblastic leukemia
If F= 2x²+ +6x - 5 G=3x² + 4) and C=G-3F, find the value of C as a trinomial
Answers
The following shape is a rhombus. Find the measure of each unknown angle:
90
52
38
46
72
Answers
Answer:
63 42
53
53
52
Jdjdjdjfh
Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.
By using property - 1,
m∠APD = m∠DPC = m∠BPC = m∠APB = 90°
Apply triangle sum theorem in ΔAPD,
m∠DAP + m∠APD + m∠DPA = 180°
52° + 90°+ m∠DPA = 180°
m∠DPA = 38°
By using property - 3,
m∠PDC = m∠DPA = 38°
m∠PAB = 52°
By using property - 2,
m∠ADC + m∠DCB = 180°
2(38°) + m∠DCB = 180°
m∠DCB = 104°
Therefore, m∠PCD = m∠PCB = \(\frac{104}{2}\) = 52°
m∠DAP = m∠BAP = 52°
Since, m∠ADC = m∠ABC = 76°
Therefore, mABP = m∠CBP = \(\frac{76}{2}=38^\circ\)
Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.
Learn more about rhombus here,
https://brainly.com/question/11812488?referrer=searchResults
Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?
Answers
Pokyaa is 31 years, 6 months, while Afriyie
is 20 years, 6 months
The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that the age of Pokyaa is P while the age of Afriyie is A.
As per the given,
Pokyaa is 11 years older than Afriyie
Therefore, P = 11 + A
Altogether P + A = 52
Substitute,A = 52 - P into P = 11 + A
P = 11 + (52 - P)
P = 11 + 52 - P
P + P = 63
2P = 63
P = 32.5 ⇒ 31 years and 6 months.
Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
Question: “How many people are greater than 62 inches tall? “
Can someone please help me kn this :)
Answers
Answer:
5
Step-by-step explanation:
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answers
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
Brainliest and 20 points fully explain
Answers
Answer/Step-by-step explanation:
Part A
(x + 13) + (4x - 8) = 90
x + 13 + 4x - 8 = 90
5x + 5 = 90
-5 -5
-----------------
5x = 85
÷5 ÷5
--------------
x = 17
Part B
m∠OPQ = (x + 13)°
m∠OPQ = (17 + 13)°
m∠OPQ = 30°
m∠RPS = (4x - 8)
m∠RPS = (4(17) - 8)
m∠RPS = (68 - 8)
m∠RPS = 60°
Part C
Vertical angles equal each other. To test if they are vertical angles they would need to be equal to each other.
x + 13 = 4x - 8
-4x -4x
------------------------
-3x + 13 = -8
-13 -13
----------------------
-3x = -21
÷-3 ÷-3
-----------------
x = 7
x + 13 = 4x - 8
(7) + 13 = 4(7) - 8
20 = 28 - 8
20 = 20
These angles equal each other; therefore, they are also vertical angles.
----------------------------------------------------------------------------------------------------------
I hope this helps!
AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
Answers
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
Read more about dilation at
https://brainly.com/question/3457976
#SPJ1
Today only, a sofa is being sold at a 32% discount. The sale price is $289.
What was the price yesterday?
Answers
Answer:
425$Step-by-step explanation:
Today only, a sofa is being sold at a 32% discount. The sale price is $289.
What was the price yesterday?
289 is 68% (100% - 32% = 68%)
289 : 68 * 100 =
425
--------------------------
check
425 - 32% = 289
the answer is good
3 (x-3)=6 solve for x
Answers
Answer: x = 5
Step-by-step explanation:
3( x - 3 ) = 6
Divide 3 on both sides
x - 3 = 2
Add 3 on both sides
x = 5
A regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) If one card is drawn at random from the deck, find the probability of the following events:
1. It is a diamond
2. It is a jack
3. It is a diamond or a jack
4. It is an ace or a 9
Answers
it would be 4 right. if aces are 1 and you draw one card
The perimeter of a playing field for a certain sport is168 ft. The length is 42 ft longer than the width. Find the dimensions.
Answers
Answer:
width : 21ft
length : 63ft
Step-by-step explanation:
(42ft + w) + (42ft + w) + w + w = 168ft
42ft + w + 42ft + w + w + w = 168ft
w + w + w + w = 168ft - 42ft - 42ft
4w = 84ft
w = 84ft ÷ 4
w = 21ft
so,
width : 21ft
length : 21ft + 42ft = 63ft
Rewrite 5 − 6 using the additive inverse and display the new expression on a number line.
Answers
Answer:
5 + (-6)
It is the same as 5 - 6
Answer: B | 5 + (-6)
Step-by-step explanation:
hope it helped xx
HELP ASAP
45 POINTS
which equation represents a function?
A. x=13
B. x-12=34
C. 2y= -12
D. 2x-4x = 7
E. x/2=15
Answers
Answer:
it is e bro
Step-by-step explanation:
Answer:
it's E
Step-by-step explanation:
Hope the helps :) <3
Mieko bought 2 gallons of paint. She used 1/4 of the paint in her bedroom, 3 quarts in the hallway, and the rest of the paint in the living room. How many quarts of paint did she use in the living room?
A: 3 Quarts
B. 8 Quarts
C. 10 Quarts
D. 12 Quarts
Answers
=======================================================
Explanation:
1 gallon = 4 quarts
2 gallons = 8 quarts
1/4 of 8 quarts = 2 quarts
She used 2 quarts for her bedroom and 3 for the hallway. Therefore, she used 2+3 = 5 quarts total.
That leaves 8 - 5 = 3 quarts for the living room.
Answer:
A: 3 Quarts
Step-by-step explanation:
1 gallon = 4 quarts
1/4 of 2 gallons = 1/4 × 2
= 1/2 gallon
⇒ 1/2 gallon = 2 quarts
Therefore, Mieko used 2 quarts of paint to paint her bedroom.
If she used 3 quarts to paint the hallway, then
⇒ total number of quarts used = 2 + 3 = 5 quarts
As she bought a total of 2 gallons of paint:
⇒ 2 gallons = 2 × 4 = 8 quarts
Therefore the remaining unused paint (to paint the living room) is:
⇒ total paint - used paid = 8 quarts - 5 quarts
= 3 quarts
In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse
Answers
Answer:
nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Sum of the interior angles of any triangle equal 180° .
Thus ;
The angle which facing to the side 4 is 45°.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .
Thus ;
\( \frac{ \sqrt{2} }{2} x = 4 \\ \)
Multiply sides by 2
\(2 \times \frac{ \sqrt{2} }{2} x = 2 \times 4 \\ \)
\( \sqrt{2} x = 8 \\ \)
Divide sides by √2
\( \frac{ \sqrt{2}x }{ \sqrt{2} } = \frac{8}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times 2}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times \sqrt{2} \times \sqrt{2} }{ \sqrt{2} } \\ \)
\(x = 4 \sqrt{2} \\ \)
\(x = hypothenuse = 4 \sqrt{2} \)
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Make D the subject of S=D/T
You may use the flowchart to help you if you wish.
Answers
To make the D the subject of the equation, we can start by multiplying both sides by T to isolate D:
(T) S = D/T (T)
TS = D
Therefore, the final answer is D = TS
I will gove brainlist ..The line graph shows the amount of water loss in a leaking tank during 7 hours.The owner pays $1for every 8 liters of water lost.How much will he have to pay after 2 hours
Answers
Answer:
The owner will have to pay $ 125 after 2 hours.
Step-by-step explanation:
Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :
((6000 - 5000) / 8) x 1 = X
(1000/8) x 1 = X
125 x 1 = X
125 = X
Therefore, the owner will have to pay $ 125 after 2 hours.
100 POINTS PLEASE HELP ME ALGEBRA
Answers
The range of the graph of the exponential function is (b) {y | y > 0}
Calculating the range of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
Read more about range at
brainly.com/question/27910766
#SPJ1
There are 8 blue candies, 5 pink candies, 1 white candy, and 6 green candies in a candy jar. You reach in, without looking, and take one. What is the probability that you will choose a green candy? Report your answer as a percent.
Answers
Answer:
30%
Step-by-step explanation:
Find the total number of candies in the jar.
8 + 5 + 1 + 6 = 20
The probability of choosing a green candy is 6/20 = 3/10 = .3 = 30%
What is the area of this parallelogram?
Answers
Answer:
30
Step-by-step explanation:
the base is 10 the height is 3
10 x 3 = 30
Answer:
30
Step-by-step explanation:
Area of a parallelogram
is bxh
The value of n is a distance of 2 units from -1 on a number line what number could be the value of n
Answers
Answer:
hi hello he they 1235
Step-by-step explanation:
hi hello he they 1235
can someone help me on number 4
Answers
Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
If $200 is put in the bank and each year the account earns 5% simple interest,
then how much interest will be earned in two years?
$10
$20
$30
$100
Answers
Work Shown:
i = P*r*t
i = 200*0.05*2
i = 20
A quick mental shortcut is to double the 5% interest to get 10%, since this occurs over 2 years. Then taking 10% of something is the same as moving the decimal point one spot to the left. So we go from 200 to 20
Que números multiplicados dan 30 y sumados dan 11
Answers
Answer:
5, 6
Step-by-step explanation:
Answer:
Los números son:
6 y 5
Step-by-step explanation:
Planteamiento:
a * b = 30
a + b = 11
Desarrollo:
De la segunda ecuación del planteamiento:
a = 11-b
Sustituyendo esta última ecuación en la primer ecuación del planteamiento:
(11-b)*b = 30
11*b + b*-b = 30
11b - b² - 30 = 0
-b² + 11b - 30 = 0
b = {-11±√((11²)-(4*-1*-30))} / (2*-1)
b = {-11±√(121-120)} /-2
b = {-11±√1} / -2
b = {-11±1} / -2
b₁ = {-11-1} / -2 = -12/-2 = 6
b₂ = {-11+1} / -2 = -10/-2 = 5
Comprobación:
6*5 = 30
6+5 = 11
Use a technique of integration or a substitution to find an explicit solution of the given differential equation. (squareroot x + x) dy/dx = squareroot y + y y =
Answers
The explicit solution of the given differential equation is \(& y=[c(1+\sqrt{x})-1]^2\)
Solution of the Differential Equation :
Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable)
\(\frac{dy}{dx} =f(x)\)Here, the independent variable "x" and the dependent variable "y" are both present.We employ the approach of variable separation to discover the answer to the differential equation. By splitting the equation into two halves, we can find a solution. We integrate both sides after moving all of the equations involving the y variable to one side and all of the equations involving the x variable to the other side.
∫P(y)dy=∫Q(x)dx⇒\((\sqrt{x}+x) \frac{d y}{d x} & =(\sqrt{y}+y) \\\)
⇒\(\frac{d y}{\sqrt{y}(1+\sqrt{y})} & =\frac{d x}{\sqrt{x}(1+\sqrt{x})}\)
Put \($\sqrt{y}=u \quad \sqrt{x}=v$\)
⇒\(& \frac{1}{2 \sqrt{y}} d y=d u \frac{1}{2 \sqrt{x}} d x=d v \\\)
⇒\(& \frac{d y}{\sqrt{y}}=2 d u \frac{d x}{\sqrt{x}}=2 d v\)
By substituting,
⇒\(& \int \frac{7 d u}{1+u}=\int \frac{2 d v}{1+v} \\\)
⇒\(& \ln (1+u)=\ln (1+v)+\ln c \\\)
⇒\(& \ln (1+u)=\ln [c(1+v)] \\\)
⇒\(& (1+u)=c(1+v) \\\)
⇒\(& (1+\sqrt{y})=c(1+\sqrt{x}) \\\)
⇒\(& \sqrt{y}=c(1+\sqrt{x})-1 \\\)
⇒\(& y=[c(1+\sqrt{x})-1]^2\)
Therefore, the explicit solution of the given differential equation is \(& y=[c(1+\sqrt{x})-1]^2\)
For more such questions on differential equation
https://brainly.com/question/2273154
#SPJ4
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
Answers
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
Learn more about transversal:https://brainly.com/question/17987539
#SPJ1