segment EH and segment E'H' both pass through the center of dilation.
Which statement is true about the dilation?A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.
The center, which may be found within, outside, or on a figure, is the only invariant (not changing) point under a dilation (k 1).
In the figure attached, triangle EFG is shown.
H is located at (0, 1)
The center of dilation is located at (0, 2)
Then, H' is located at (0, 0), so that the distance between the center of dilation and H' is twice the distance between the center of dilation and H.
E is located at (0, 5)
Then, E' is located at (0, 8), so that the distance between the center of dilation and E' is twice the distance between the center of dilation and E.
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Ann, ben and cheryl hare ome money in the ratio 3:7:10. Ben receive £650 more than Ann. Calculate the total amount of money that they hared
The total amount of money that they hared is 13000.
What is amount?
The amount of something is how much there is, or how much you have, need, or get. He needs that amount of money to survive. [ + of] I still do a certain amount of work for them.
Ann, ben and cheryl hare ome money in the ratio 3:7:10
Ben receive £650 more than Ann.
Ann = 3*650=1950
ben= 7*650=4550
cheryl hare ome = 10*650= 6500
The total amount of money that they hared 1950+4550+6500= 13000.
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An airplane pilot whose craft has an air speed of 150km / hr whishes to fly on a true course of N 65 E. A 15 km / hr wind is blowing with a bearing of S 45 E. In what direction should the plane be pointed? What will be the plane's ground speed?
speed of plane's ground = 155.769 Km/h
What is speed and velocity ?Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.
What are the units of speed ?Units of speed = meter per second
So ln [tex]$\triangle A O B$[/tex], we have
[tex]$$[/tex]A=65[tex]^{\circ}+45^{\circ}=110^{\circ} \\[/tex]
O A=[tex]150 \mathrm{~km} / \mathrm{h} \\[/tex]
A B=15 [tex]\mathrm{~km} / \mathrm{h}[/tex]
[tex]\end{aligned}[/tex]using cosine Rule
[tex]\cos A=\frac{O A^2+A B^2-O B^2}{2(O A)(A B)} \\[/tex]
[tex]\cos 110^{\circ}=\frac{(150)^2+(15)^2-O B^2}{2(150)(15)} \\[/tex]
[tex]4500 \cos 110^{\circ}=22500+225-0 B^2 \\[/tex]
[tex]-1539.09064=22725-0 B^2 \\[/tex]
[tex]O B^2=22725+1539.09064 \\[/tex]
[tex]O B^2=24,264.0906 \\[/tex]
[tex]O B=155.769351 \approx 155.769 \mathrm{~km} / \mathrm{hr} \\[/tex]
[tex]O B \approx 17 \mathrm{k}[/tex]
using sine rule
[tex]\frac{\sin (A O B)}{15}=\frac{\sin A}{O B} \\[/tex]
[tex]\frac{\sin (A O B)}{15}=\frac{\sin 110^{\circ}}{155.769351} \\[/tex]
[tex]\sin (A O B)=\frac{15 \sin 110^{\circ}}{155.769351}=\frac{14.0953893}{155.769351}[/tex]
[tex]\sin (A \cap B)=0.0904888491 \\[/tex]
[tex]A O B=\sin ^{-1}(0.0904888491) \\[/tex]
[tex]A D B=5.19173084^{\circ} \\[/tex]
[tex]A O B=5.2^{\circ}[/tex]
Direction of plane [tex]=65^{\circ}+5.2^{\circ} \\[/tex] = [tex]=70.2^{\circ}[/tex]
Direction N = 70.2° E
speed of plane's ground [tex]$=155.769 \mathrm{~km} / \mathrm{h}$[/tex]
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I need help answering this
PLS HELP ASAP WILL NAME BRAINLIEST
what is a product of -30 but the sum of -1
Answer: -6 and 5
Step-by-step explanation:
-6 and 5
x+y = -1
xy = -30
x=-1-y
y(-1-y)=-30
-y^2-y=-30
-y^2-y+30=0
(y-5)(5+6)
y=5,-6
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
A bag contains three blue marbles, five red marbles, and four green marbles.
Part A: What is the probability of selecting three marbles where one is blue and two are green?
Part B: What is the probability of selecting one blue marble and then selecting three red marbles?
Part C: In your own words, write a short paragraph that explains your work for Parts A and B.
The probabilities for the given problem is calculated as 0.081 and 0.06 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
Given that,
There are 3 blue marbles, 5 red marbles and 4 green marbles.
Then, the total number of marbles is 12.
The given problem can be solved as follows,
Part A:
The probability of getting 1 blue and 2 green marbles is,
P( 1 blue and 2 green) = (³C₁ × ⁴C₂)/¹²C₃
= ( 3 × 6)/ 220
= 9/110
= 0.081
Part B:
The probability of selecting one blue marble = 3/12 = 1/4
After one blue marble is selected, the remaining number of marbles is 11.
Thus, probability of selecting 3 red marbles is,
⁵C₃/¹¹C₃
= 10/165
= 0.06
Part C:
In the Part A the probability is calculated by taking the ratio of total number of ways of selecting 3 marbles and the number of ways of selecting 1 blue and 2 green marbles.
And, in Part B the number of ways is calculated from the remaining number of marbles after one blue marble is chosen.
Hence, the probabilities for the given parts in the question are 0.081 and 0.06 respectively.
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look at the screenshot
Answer:
c) 72-34=38
Step-by-step explanation:
I don't have much to say please help me
Answer: for 216 the answer is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216
for 96 it is 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
for 64 it is 1, 2, 4, 8, 16, 32 and 64.
Step-by-step explanation:
There are 26,358 children living in this town. Half of the children are boys. There are about ________ boys living in this town.
Answer:
13179
Step-by-step explanation:
It says half of the children are boys, which means division
26358 divided by 2 is 13179
Answer:
13,179
Step-by-step explanation:
the answer is 13,179 because 26,358 divided by 2 is 13,179
2=1/2
Jimmy drives 6.5 miles to his aunt’s house. For every mile Jimmy drives, the amount of gas in the car’s gas tank changes by -0.04 gallon. What is the total change in the gallons of gas in the cars tank??
We will see that the amount of gasoline increased by 5.25 gallons over that five-day period.
How many more or fewer gallons of gas did the car's tank contain overall?Here we want to study the table to see the total change in the amount of gasoline over the five-day period.
Now we need to study the given graph:
Notice that each day we have the change of that particular day, then we just need to add all of these changes and we will get the total change.
Where the negative numbers mean that the gasoline was used, and the positive numbers represent a charge in the gasoline (so it increases).
C = -1.05 - 1.20 - 0.85 + 10.50 - 2.15 = 5.25
This means that, in total, the amount of gasoline increased by 5.25 gallons over that five-day period.
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need help on this ASAP!!
Answer:
no solution to the equation
Step-by-step explanation:
Answer:
no solution to the equation
Which expression is equivalent to
(2x+4)-(3x²+2x-1)?
A-3x² +3
B -3x² +5
C-3x² +4x+3
D -6x³-16x² - 6x+4
Answer:
[tex]\huge\boxed{\sf Option \ B}[/tex]
Step-by-step explanation:
Given expression:= (2x + 4) - (3x² + 2x - 1)
Solve parenthesis
= 2x + 4 - 3x² - 2x + 1
Combine like terms
= -3x² + 2x - 2x + 4 + 1
= -3x² + 5[tex]\rule[225]{225}{2}[/tex]
What can you conclude about the triangles? *Hint: What is congruent and how can you prove it?
The conclusion about the triangle is that the two triangles are congruent i.e they are equal
What are Congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
In the figure, triangle ∆GHJ and ∆ GKM are the two triangles formed.
To prove that triangle GHJ = GKM
angle KGM= angle JGH ( opposite angles)
angle K = angle H (alternating angles)
Therefore angle H = angle J
since the three angles of each triangles are equal, we can say the triangles are congruent.
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What is the value of x?
Answer:
3
Step-by-step explanation:
5x = 6x - 3
6x - 5x = 3
x = 3
Find the value of the expression 4a + 7 when a = 1/2
.
Answer:
9
Step-by-step explanation:
4×1/2=2 and adding on 7 would make 9
9
Step-by-step explanation:Expressions are mathematical statements without equal signs.
Expressions and Variables
Expressions are simply combinations of different numbers and operators. The reason 4a + 7 qualifies as an expression is because it has 2 values connected by an operator and no equal sign. In this expression, there is multiplication and addition.
Variables are letters in equations or expressions that represent some numerical value. Variables can represent any number, but in this case, we are told a = 1/2.
Solving the Expression
To solve the expression, all we need to do is plug 1/2 into the expression.
4(1/2) + 7Then, multiply,
2 + 7And add,
9So, when a = 1/2, 4a + 7 = 9.
pls help due tommorw!!! pretty easy!!
The solution is x²
The monomial that will make the expression as a square of a sum or a difference of trinomial is x²
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , a monomial that will make the expression as a square of a sum or a difference of trinomial is calculated as
(a-b)² = a² -2ab + b²
where a² = 36
taking square roots on both sides of the equation , we get
a = 6
-2ab = -12x
So , one of the variable is x
So , substituting the value of b = x , we get
( 6 - x )² = 36 - 12x + x²
Therefore , the value of the monomial is x²
Hence , The monomial that will make the expression as a square of a sum or a difference of trinomial is x²
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4/6 - 1/12 simplified
After solving the given expression, the value obtained will be equal to 7/12.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given fraction in the question,
4/6 - 1/12
Take LCM as 12 and then solve,
= (8 - 1)/12
= 7/12
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Rose spent $2.00 for
20 pieces of gum. Joe spent
$1.50 for 10 pieces of gum.
Who got the better deal?
Explain your answer.
Answer: Rose got the better deal!
Step-by-step explanation:
Rose got the better deal, she only spent .10 cents for every piece, while joe spent .15 cents and only got 10 pieces.
95 % of the class is on santa's nice list if there are 20 students how many are naughty
Answer: 1 Student
Step-by-step explanation:
Hope this helps!
What are the slopes of the lines representing Juliana's
and Emiliano's recipes?
Let x represent the number of cups of flour and y
represent the number of cups of sugar.
to get the slope of any straight line, we simply need two points off of it, for Juliana and Emiliano let's use those points in the picture below.
[tex]\stackrel{\textit{\LARGE Juliana}}{(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies {\Large \begin{array}{llll} \cfrac{1 }{ 2 } \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\LARGE Emiliano}}{(\stackrel{x_1}{1\frac{1}{2}}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4\frac{1}{2}}~,~\stackrel{y_2}{3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4\frac{1}{2}}-\underset{x_1}{1\frac{1}{2}}}}\implies {\Large \begin{array}{llll} \cfrac{2}{3} \end{array}}[/tex]
Can you please help me?
Answer:
It should be 5/6
Step-by-step explanation:
:)rawr
Find each and every measure.
Answer: BELOW
Step-by-step explanation:
m<1 62°
m<2 39°
m<3 26°
m<4 55°
m<5 55°
m<6 35
A triangle is equal to 180° so you keep adding angles till you have all your answers.
An Uber driver charges $1.75 plus a fee
of $0.85 for each mile traveled. The
total cost of a ride, without a tip, is $8.75. Write
an equation if you wanted to find the value of m,
the number of miles traveled.
The equation is $1.75+$0.85m= $8.75, after solving the value m =8.24 miles.
What is equation?An algebraic expression contains one or more variables along with numbers show the equality among them.
Why we use equation?we use equation to determine an unknown value. we create equation based on a mathematical statement and finally solve it.
The following is the solution of equation of the statement given in question.
Given, fee per mile = $0.85
Charges = $1.75
Total cost of ride = $8.75
let, m is the number of miles travelled
Now, the equation is $1.75+$0.85m = $8.75
after solving 0.85m = 7.00
m = 8.24 miles
hence, the Uber travelled 8.24 miles
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One interior angle of a triangle is 34°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. x − 34 = 90 x + 34 = 180 2x − 34 = 90 2x + 34 = 180
15. Suppose $12,000 is borrowed for 5 years and is to be paid back with interest in one lump sum. If the annual interest
rate is 8%, what will the lump sum payment be? (Use 1= Prt)
a. $16,800.00
b. $492,000.00
c. $16,100.00
d. $17,400.00
e. $4,800.00
Answer:
Step-by-step explanation:
To solve this problem, we need to use the formula for the present value of a lump sum payment: $PV = FV \cdot (1 + r)^{-t}$, where $PV$ is the present value (the lump sum payment that needs to be made), $FV$ is the future value (the amount borrowed), $r$ is the annual interest rate, and $t$ is the number of years the money is borrowed for.In this case, we are given that $FV = 12,000$, $r = 8%$, and $t = 5$ years. Plugging these values into the formula, we get $PV = 12,000 \cdot (1 + 0.08)^{-5} = 12,000 \cdot 0.5987 = 7,184.40$.Therefore, the lump sum payment that needs to be made is $PV = \boxed{7184.40}$. The answer is $\boxed{\text{(a)}\ $16,800.00}$ is incorrect.
Whoever answers correctly and with an explanation will get marked Brainliest!!
There are 35 questions total located in Mathematics. This is Algebra I!
Answer: increasing by 0.25
Step-by-step explanation:
What is m∠C? What is m∠C?
The unknown angle in the triangle is as follows:
m∠C = 60 degrees.How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
A triangle can be named base on it's angles or sides. They include equilateral triangle, scalene triangle, Isosceles triangle, Right triangle, Acute triangle etc
Therefore, let's solve the angle C of the triangle as follows;
m∠C = 2x
x + 2x + 3x = 180
6x = 180
divide both sides by 6
x = 180 / 6
x = 30
Therefore,
m∠C = 2x = 2(30) = 60 degrees.
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HELP MEE!! 45 points!!
Solve. What is r in the inequality? r– (–1) ≤ 1
Answer:
r ≤ 0
Step-by-step explanation in image.
Answer:
r<0
Step-by-step explanation:
r-(-1)<1
the oposite of -1 is 1
r+1<1
subatract 1 from both sides
r<1-1
subatract 1 from 1 to get 0
r<0
mr. bell gave out a science test last week to six honors students. the scores were 88, 94, 80, 79, 74, and 83. what is the standard deviation of the scores?
The standard deviation of the scores is 6.48
For given set of scores, 88, 94, 80, 79, 74, and 83
Here, the number of observations = 6
The mean of the scores would be,
μ = Σx/n
μ = (88 + 94 + 80 + 79 + 74 + 83)/6
μ = 498/6
μ = 83
Using the formula of standard deviation,
σ = √((Xi−μ)^2)/n
σ = √[(88 - 83)² + (94 - 83)² + (80 - 83)² + (79 - 83)² + (74 - 83)² + (83 - 83)²]/6
σ = √(252/6)
σ = √42
σ = 6.48
Therefore, the standard deviation = 6.48
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I need help please! It’s ASAP
Answer:
28
Step-by-step explanation:
[tex]80 \times \frac{35}{100 } \\ = 28[/tex]
Answer:
28
Step-by-step explanation:
From the given pie chart:
35% of the people surveyed selected blue as their favorite color.If a total of 80 people were surveyed, to find the number of people in the sample that chose blue, simply find 35% of 80:
[tex]\begin{aligned}\implies \sf 35\%\;of\;80 & = \sf \dfrac{35}{100} \times 80\\\\&= \sf \dfrac{35 \times 80}{100} \\\\&= \sf \dfrac{2800}{100} \\\\&=\sf 28\end{aligned}[/tex]
Therefore, 28 people from a total of 80 surveyed chose blue as their favorite color.
The number of students who are active in the computer club has jumped from 7 to 19. To the nearest percent, what is the percent increase?
Answer:
63.2%
Step-by-step explanation:
percentage increase= (Increase \ old number) * 100
= {(19 -7)/ 19} * 100
= (12\19) * 100
=63.16 %