Describe fully the single transformation that maps triangle a onto triangle b

Describe Fully The Single Transformation That Maps Triangle A Onto Triangle B

Answers

Answer 1

Answer:

reflection of Δa about y=2 results in Δb

Step-by-step explanation:

Answer 2

The single transformation that maps triangle a onto triangle b is: Reflection about y=2

Triangle A should be reflected about y=2 to map it onto Triangle B.

Here, from the given figure we get,

Coordinates of the vertices of triangle (A) are A(1, 3), B(2, 3) and C(1, 5)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(1, 1), B'(2, 1) and C'(1, -1)

Lets choose point A to find the rule of transformation,

A(1, 3) → A'(1, 1)

Rule → (x, y) → (x, 2 - (y - 2)) or (x, y) → (x, 4 - y)

It shows triangle (A) has been reflected across a line y = 2.

Therefore, Triangle A should be reflected about y=2 to map it onto Triangle B.

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Related Questions

Which regression equation best fits these data?

Answers

[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Which function has a constant additive rate of change of -1/4?
4
1y
4
y
y
2
2
20
-1
-12
7
21
-1.5
-11
11
2
4
- 2
-2
-4-2
-2
22
-2
-10
14
23
-2.5
-9
17
Intro
Done

Answers

Answer:

4,20,11,2,1y

Step-by-step explanation:

The first graph has a constant additive rate of change of -1/4.

First of all, when we talk about a rate of change, that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.

Also, if you observe the linear graph, you would see that the line represents a negative rate of change, because the line is going down (the function is decreasing). In other words, as x-variable increases, y-variable decreases.

Therefore, the first graph shows a ratio of change of -1/4.

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What is the smallest number that can be added to 2018·2019·2020 so that the result of the addition is a perfect cube? Please answer soon!

Answers

Answer:

[tex]802[/tex]

Step-by-step explanation:

[tex]18^3=5832[/tex]

[tex]19^3=6859[/tex]

[tex]2018+2019+2020=6057[/tex]

[tex]6859-6057=802[/tex]

Check.

[tex]6057+802=6859[/tex]

[tex]\sqrt[3]{6859} =19[/tex]

Answer:

2019.

Step-by-step explanation:

Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.

x(x + 1)(x + 2)

= x(x^2 + 3x + 2)

= x^3 + 3x^2 + 2x ................(A)  

Now the perfect cube of x + 1 is:

(x + 1)^3 = x^3 + 3x^2 + 3x + 1

If we add x + 1 to (A) we get this expression so the answer is x + 1

= 2019.

match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5

Answers

Answer:

21/25 ---> 84%

13/20 ---> 65%

3/5 ---> 60%

3/4 --->75%

2/5 ---> 40%

People pay to visit a stately home [tickets age 16 and over : £18.60 ..under 16:£12.80] 155 people pay and 49 of these people are under 16. How much money is collected

Answers

Answer: £2598.80

Step-by-step explanation:

Let those under 16 be x

Those over 16 be y

49 + y = 155

y = 155-49

y = 106 = over 16

for over 16, y * 18.60

= 106 * 18.60 = 1971.60

For under 16, x * 12.80

= 49 * 12.80 = 627.20

A 74-inch rake is leaning against a wall. The top of the rake hits the wall 70 inches above the ground. How far is the bottom of the rake from the base of the wall?

Answers

Answer:24

Step-by-step explanation:

By Pythagoras

a^2=b^2 +c^2

74^2-70^2=c^2

C=√576

C=24

Please answer asap for brainliest!!!!!

Answers

Answer:

x= 50

Step-by-step explanation:

The unknown angle is also x since we have an isosceles triangle and the bases angle are the same

The sum of the angles of a triangle are 180 degrees

x+x+80 =180

2x+80 = 180

Subtract 80 from each side

2x= 180-80

2x= 100

Divide by 2

2x/2 =100/2

x= 50

Answer:

[tex]x=50[/tex]°

Step-by-step explanation:

This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:

(180°-80°)÷2=x°

100°÷2=x°

50°=x°

x°=50°

Triangle GHJ has the exterior angles shown below. Triangle G H J. The exterior angles are (9 x + 6) degrees, (10 x + 7) degrees, (10 x minus 1) degrees. For Triangle G H J, what is the value of x? 2.7 5.8 12 29

Answers

Answer:

b) 5.8

Step-by-step explanation:

Explanation

Given diagram the angles are (9 x + 6)°, (10 x + 7)°, (10 x - 1)°

we know that the sum of the angles of the triangle is equal to 180°

∠A +∠B +∠C = 180°

(9 x + 6)°+(10 x + 7)°+ (10 x - 1)° = 180°

On simplification , we get

29 x + 12 = 180

29 x = 180 -12

29 x = 168

x = 5.79 ≅ 5.8

                     

Answer:

b

Step-by-step explanation:

Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?

Answers

Answer:

£ 35

Step-by-step explanation:

Ratio = 6 : 1

Gordon's share = 6x

Malachy's share = x

6x - x = 25

5x = 25

x = 25/5

x = 5

Gordon's share = 6x = 6*5 = 30

Malachy's share = x = 5

Total money they get = 30 + 5 = £35

Q, A fruit seller buys 10 apples for Rs. 45 each from wholesale market .He packs them in a fruit basket for 40 and sells them each for 20 bakets Rs. 600 .Is it loss or gain

Answers

Answer:

It is a gain.

Step-by-step explanation:

CLEAR STATEMENT:

Given that the fruit seller buys 10 apples for 45Rs each from wholesale market.

This implies her buys them for 10 × 45Rs = 450Rs.

UNCLEAR STATEMENT:

He packs them in a fruit basket for 40 and sells them each for 20 baskets Rs. 600.

ASSUMING:

What you are trying to say is that he bought baskets for 40Rs, and sold the apples for 600Rs.

Subtracting his expenses from this value, we have

600Rs - 450Rs - 40Rs = 110Rs

Since this amount is positive, we conclude that it is a gain of 110Rs.

PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.

Enter your answer into the blank equation box.

Answers

Answer:

equation in standard form is  -3x + 5y = -26

Step-by-step explanation:

standard form of equation of line is

Ax + By = C

where A,B and C are integers.

such line has slope -A/B

Another form of line equation is slope intercept form, which can be written as

y = mx+ c

since in problem m = 3/5

thus, equation is

y = 3/5 x + c

Given that (2,-4) passes through this line, this point will satisfy the above equation

-4 = 3/5 *2 + c

=> - 4 = 6/5 + c

=> c = -4 -6/5 = (-4*5 - 6)/5

=> c = (-20 - 6)/5 = -26/5

Thus, equation in slope intercept form is

y = 3/5 x -26/5

lets rewrite this equation in  Ax + By = C

Multiplying LHS and RHS by 5 we have

5y =( 3/5 x)* 5 - (26/5 * 5)

=> 5y = 3x - 26

we have to bring 3x on LHS for that

we subtract 3x from both side

5y  -3x = 3x - 26 -3x

=> 5y  -3x =  - 26

rearranging the equation

-3x + 5y = -26

Thus, equation in standard form is  -3x + 5y = -26

Direct Variation: If y = 12, when x = 4, find y when x = 20. a.40 b.48 c.12 d.60

Answers

Answer:

d

Step-by-step explanation:

Given the x and y are in direct variation then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 4, that is

12 = 4k ( divide both sides by 4 )

3 = k

y = 3k ← equation of variation

When x = 20 , then

y = 3 × 20 = 60 → d

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

at the top of the high slope in the top right sqaure and in the middle of the bottom slope in the bottom left

Step-by-step explanation:

plz can someone help me with this plzz​

Answers

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side


A line that passes through the point (x,y), with a y intercept of band a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3.-6) and has a slope of 4. The y intercept of the line is

Answers

Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

Answer:

18

Step-by-step explanation:

y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.

If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00,find the discount of 1/2 dozen

Answers

Answer: 60

Step-by-step explanation:

Cost of 1 cup = 80

Actual cost of 6 cups = 80 x 6 = 480

1/2 dozen cups were bought for 420

Discount 480 - 420 = 60

Order these numbers from least to greatest.
1.4, 1.103, 1.1322, 1.13

Answers

Answer:

1.103,1.13,1.1322,1.4

Step-by-step explanation:

find the decimal places and u can figure out with they are greater than this decimal or less

Answer:

1.103, 1.13, 1.1322, 1.4

Step-by-step explanation:

hope that helped:D

Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)

113.0 in^3
339.1 in^3
28.3 in^3
113.0 in^2

Answers

Steps:

Shape: Sphere

Solved for volume

Radius: 3

Formula: V=4 /3πr3

1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.

Answer:  113.0

Please mark brainliest

Hope this helps.

Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushups until he is doing a total of 303030 pushups each day. Which equation can we use to determine xxx, the number of days that it will take Keenan to reach his goal? Choose 1 answer: Choose 1 answer:

Answers

Answer:

222x + 888 = 303030

Step-by-step explanation:

If he raises the amount of push-ups he does by 222, then we can put the x with it, which represents the number of days. Since we are adding onto the 888 a day we can put that without the variable. If you were to solve this equation you would get the amount of days it would take to reach 303030 push-ups a day.

Hope this helps!

Answer:

8+2x=30

Step-by-step explanation:

did it on khan its correct

will mark brainliest, need help.

Answers

Answer:

(0, -4)

Step-by-step explanation:

The lines intersect at 0, -4. That is also the solution.

Answer:

D

Step-by-step explanation:

The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!

Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2

Answers

In this problem, we have a pair of like terms in our x terms.

3x and -2x are like terms because they are exactly alike except for the coefficients or the numbers in front of the variables.

______________________________

Hey!!

3x and -2x are the like terms.

Explanation:

To add and subtract the algebraic expression, there should be the like and unlike terms.Unlike terms are those which do not have the same base and like terms are those which have the same base.

Hope it helps

Good luck on your assignment

_____________________________

What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical number?

Answers

Answer:

3n-5=8n+4

Step-by-step explanation:

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

Answers

A whole number constant could have been subtracted from the exponential expression.

Answer:

It's B

explanation

Find the volume of the pyramid. HELP

Answers

Answer:

187.5 in^3

Brainliest plz

Step-by-step explanation:

V=(lwh )/3

7.5 x 5 x 5= 187.5

Answer:

62.5 inches squared

Step-by-step explanation:

To find the volume of a pyramid, you need to use the formula : (length x width x height)/3. It's simple once you plug the values in.

Length = 5

Width = 5

Height = 7.5

1. 5 times 5 times 7.5 = 187.5

2. 187.5/3 = 62.5

3. The answer is 62.5 inches squared

please could you help me with these questions! they would be quick

Answers

Answer:

Where are the questions....?

Answer:

Hey!

Well there aren't any question up here!!

Step-by-step explanation:

Maybe put another one!

Hope this helps!

Mr. Wong predicted that he would sell 45 automobiles. He actually sold 48 automobiles. What are the values of a and b in the table below? Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Automobiles 45 48 a b a = Negative StartFraction 3 over 45 EndFraction; b = negative 6.8 percent a = Negative StartFraction 3 over 48 EndFraction; b = negative 6.25 percent a = StartFraction 3 over 48 EndFraction; b = 6.25 percent a = StartFraction 3 over 45 EndFraction; b = 6.8 percent

Answers

Answer:

a = 3.45b = 6.67%

Step-by-step explanation:

Initial prediction of sales = 45 automobile

Actual amount sold = 48 automobiles

Absolute error ratio a = actual amount sold - initial prediction/initial prediction

Absolute error ratio a = 48-45/45

Absolute error ratio a = 3/45

%error = actual amount sold - initial prediction/initial prediction * 100%

% absolute error = 48-45/45 * 100

% absolute error = 3/45 * 100

% absolute error b = 6.67%

Answer:

a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent

Step-by-step explanation:

Your Welcome;)

A group of 9 students has these numbers of children in their families:

3, 2, 4, 2, 1, 5, 1 ,3 ,7

Answers

_________________________________

Answers:

Median=3

Mean=3.12

Step by step explanation:

1. Arranging the data in ascending order:

=1,1,2,2,3,3,4,5,7

N(total number of items)=9

Now,

Median= (N+1/2) th item

=(9+1/2)th item

=(10/2) th item

=5 th item.

Median= 3

------------------------------------------------------------

2. Given data: 3,2,4,2,1,5,1,3,7

Summation FX= 28

N(total number of items)=9

Now,

Mean= summation FX/N

= 28/9

=3.12

Mean =3.12

Hope it helps....

Good luck on your assignment

_______________________________

Step-by-step explanation:

median (need to be arranged first):

1,1,2,2,3,3,4,5,7 (9 numbers)

median=9+1/2

=5 (5th)

=3

mean=x/n

=(1+1+2+2+3+3+4+5+7)/9

=28/9

=3.111

Write in radical form and simplify if possible: (5x)⅓

Answers

Answer: [tex]\sqrt[3]{5x}[/tex]

what is the radius of circle O

Answers

Answer:

8.5 units

Step-by-step explanation:

first we gotta find the length of the diameter. they made it into a triangle, so we can use pythagorean theorem.

15² + 8² = c²

225 + 64 = c²

289 = c²

17 = c

so now we know that the length of the diameter is 17 units, so the radius would be half of that.

17 ÷ 2 = 8.5

so the radius is 8.5

The radius of the given circle, it can be calculate by using theorem of circle and it will come out, 13/2

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

A circle which has diameter AOB,

Two chords are, AC & BC their lengths are respectively, 15 and 8 units

According to theorem of circle,

Angle made by end-points of diameter at any point on a circle is 90

Pythagoras theorem can be used here,

AB² = AC² + BC²

AB² = 12² + 5²

AB² =  169

AB = 13

Radius = AB/2

           =  13/2

Hence, the radius is 13/2 units

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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre

Answers

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

[tex]x_1=3, y_1=1.5\\x_2=5, y_2=2.5[/tex]

Change in x coordinate = [tex]x_2-x_1=5-3 = 2[/tex]

i.e. total time taken is 2 hours.

Change in y coordinate = [tex]y_2-y_1=2.5-1.5 = 1[/tex]

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1)  It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = [tex]\frac{1}{2}[/tex] acre i.e. 0.5 acre

Also, slope of a line is given as:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]y_2 - y_1 = 1[/tex]

[tex]x_2 - x_1 = 2[/tex]

As per formula:

[tex]m = \dfrac{1}{2} = 0.5[/tex]

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

Using the slope concept, it is found that the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

---------------------------

A linear function has the following format:

[tex]y = mx + b[/tex]

The slope is m, which is the rate of change, that is, by how much the output y changes when the input changes by 1.

---------------------------

In this question, the input is the time in hours and the output is the area of land mowed, thus the slope represented the rate of area mowed per hour.Two points, (3, 1.5) and (5, 2.5). The slope is change in y divided by the change in x, thus:

[tex]m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5[/tex]

Thus, the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

A similar problem is given at https://brainly.com/question/17460142

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