Mathematics High School

Triangle 1 is transformed as shown in the diagram, resulting in triangle 3. Describe the transformations.
A) dilation, then reflection
B) rotation, then translation
C) reflection, then translation
D) translation, then reflection

Triangle 1 Is Transformed As Shown In The Diagram, Resulting In Triangle 3. Describe The Transformations.A)dilation,

Answers

Answer 1
Triangle 1 - 2 shows a translation. A translation is when the triangle doesn't change shape, rotation, or size. It just slides. The 2- 3 shows a mirror image, which would be a reflection. Therefore, your answer is D.
Answer 2

Answer:

D) translation, then reflection

Step-by-step explanation:

First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.

So, the correct answer is - translation, then reflection

In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.

Related Questions

In an equilateral triangle, what is the relationship between the length of a side and the perimeter?

Answers

1:3
If each side is x, the the perimeter is 3x.  x/3x = 1/3

Answer:

1:3

If each side is x, the the perimeter is 3x.  x/3x = 1/3

Step-by-step explanation:

A man bought a horse and carriage for $500 paying three times as much for the carriage as for the horse how much did each cost

Answers

Hello! So, in order to solve this question, we should do 500/4. 500/4 = 125. Multiply 125 by 3 and you get 375. The horse costs $125 and the carriage costs $375.
the horse was $125  and carriage  was $375

Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash? 2 trucks 3 trucks 4 trucks 5 trucks

Answers

The correct answer is 3 trucks.
The answer is 3 trucks

sylvie finds the solution to the system of equations by graphing.

y=2/3x+1 and y=-2/3x-1

which graph shows the solution to sylvie’s system of equations?

a) graph 1
b) graph 2
c) graph 3
d) graph 4

Answers

c) graph 3
Point 3,3 satisfies y=2/3x+1 

Answer:

solution is (-1.5,0)

Graph 3

Step-by-step explanation:

[tex]y=\frac{2}{3}x+1[/tex]and [tex]y=-\frac{2}{3}x-1[/tex]

In the first equation [tex]y=\frac{2}{3}x+1[/tex]

slope = 2/3 and y intercept is 1

Lets start with graphing y intercept +1  

then we slope , move 2 units up and 3 units to the right. stop at (3,3)

Now we graph the second equation

[tex]y=-\frac{2}{3}x-1[/tex]

slope = -2/3 and y intercept is -1

Lets start with graphing y intercept -1  

then we slope , move 2 units down and 3 units to the right. stop at (3,-3)

both graph intersects at a point (-1.5,0)


In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Answers

Jim is 6 / Harry is 2 

In 4 years Harry will be 6 
In 2 years Jim will be 8 and Harry will be 4 which is twice as much Harry's age.


hope this helps!

Answer:  The present age of Harry is 2 years and that of Jim is 6 years.

Step-by-step explanation:  Given that in 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be.

We are to find the present ages of Harry and Jim.

Let x and y represents the present ages of Harry and Jim respectively.

Then, according to the given information, we have

[tex]x+4=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y+2=2(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

Substituting the value of y from equation (i) in equation (ii), we get

[tex]y+2=2x+4\\\\\Rightarrow x+4+2=2x+4\\\\\Rightarrow 2x-x=2\\\\\Rightarrow x=2.[/tex]

From equation (i), we get

[tex]y=x+4=2+4=6.[/tex]

Thus, the present age of Harry is 2 years and that of Jim is 6 years.

Solve each data for x: (a) a rectangle has (2x + 1) and (x +2) as length and width. Its area is 77 (b.) a triangle has (2x+2) and (x+3) as base and height. Its area is 35

Answers

area of a rectangle: A= Length*width
(2x+1)(x+2)=77
2x^2+4x+x+2=77
2x^2+5x+2=77
2x^2+5x-75=0
(x-5)(2x+15)=0
x=5 or x=-7.5
Length cannot be negative, so x=5 only
the length is 11, the width is 7
Next, let's look at the triangle.
Area of a triangle: A=1/2 of base*height
(1/2)(2x+2)(x+3)=35
2x^2+8x+6=70
2x^2+8x-64=0
x^2+4x-32=0
(x-4)(x+8)=0
x=4
the base is 10, the height is 7

evaluate g(x)=3x+1 over the domain of g, {0,1,2,3}. What is the range of g?

Answers

You can do a table like this:

x        g(x) = 3x + 1

0        3(0) + 1 = 0 + 1 = 1

1        3(1) + 1 = 3 + 1 = 4

2        3(2) + 1 = 6 + 1 = 7

3        3(3) + 1 = 9 + 1 = 10

Then, the range is {1, 4, 7, 10}

Remember, the domain is the set of x values for which the function is defined, and the range is the set of images.

Answer: {1, 4, 7, 10}

A family paid 28,800 as a down payment for a home if this represents 16% of the price of the home find the price of the home

Answers

divide the down payment by the percentage

28,800 / 0.16 = 180,000

 the price of the home is $180,000

To get the price of their home you have to divide the down payment by the percentage to get your answer. 

28,800 ÷ 0.16 = 180,000

 So the price of their home is $180,000.

What is the midpoint m given p(-1, 2) and q(-2, -4)?

Answers

Midpoint = x1+x2/2 , y1+y2,2
= -1 + -2/2 , 2 + (-4)/2 
= -3/2,-1 
= -1.5, -1 

Find two consecutive positive even integers whose product is 168

Answers

Hello There!

The integers you are looking for are 12 and 14.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

write 25.784 in expanded form

Answers

No expanded form is when all the numbers are broke up
I will be writing the 3 different types of expanded form's

Expanded Notation Form: 

20+5 + 0.7 + 0.08

Expanded Factors Form:
 2 × 10 + 5 × 1 + 7 × 0.1 + 8 × 0.01 + 4 × 0.001

Expanded Exponential Form:

2 × 101 + 5 × 100 + 7 × 10-1 + 8 × 10-2 + 4 × 10-3

Word Form:

twenty-five and seven hundred eighty-four thousandths

Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

Answers

y-(-5) = -3(x-4)
y+5= -3x +12
y= -3x +7

Sam packed 42kg of rice into one big bag and 6 small ones which are of the same size. the big bag contained 3/7 of the rice. how many kilograms of rice did each small bag contained?

Answers

if the big bag contained 3/7 of the rice, then the smaller bags contained 4/7.
so the smaller bags contained : 4/7(42) = 168/7 = 24 kg.....and their are 6 small bags...so each bag contained : 24/6 = 4 kg per bag <==

What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?

Answers

Final answer:

The expression 3x^2 + 4x - 2y^2 + 4y + 5 evaluates to -26 when x = -1 and y = 5.

Explanation:

The evaluation of the expression 3x2 + 4x - 2y2 + 4y + 5 when x is equal to -1 and y is equal to 5 is calculated by substituting these values into the equation.

First, substitute x = -1 into 3x2 + 4x, which gives 3(-1)2 + 4(-1) = 3 * 1 - 4 = 3 - 4 = -1.Next, substitute y = 5 into -2y2 + 4y, which gives -2(5)2 + 4*5 = -2 * 25 + 20 = -50 + 20 = -30.Add up the results from step 1 and step 2, and include the constant 5 from the original expression to find the final result: -1 - 30 + 5 = -26.

Therefore, the correct evaluation of the expression when x = -1 and y = 5 is -26.

five cakes cost £4.00 how much do 7 cost

Answers

Greetings!

We can solve this by creating an algebraic equation.
[tex]5/4=7/x[/tex]
Cross Multiply.
[tex]5*x=4*7[/tex]
[tex]5x=28[/tex]
Divide both sides by 5.
[tex](5x)/5=(28)/5[/tex]
The Answer Is:
[tex]x=5.6[/tex]

Seven cakes would cost $5.60.

Hope this helps.
-Benjamin

A tennis supply store pays a wholesaler 90 for a tennis racquet and sells it for 144 what is the markup rate

Answers

uh i dont know if its multiplication or subtraction

Find the value of y in the equation

Answers

We want to find y from the equation
[tex] \frac{3}{y-2} =8[/tex]

Multiply each side by (y - 2).
[tex](y-2).( \frac{3}{y-2)}) = 8(y-2) [/tex]
Note that (y-2) in the numerator and denominator cancel out on the left side.
Therefore
3 = 8(y - 2)
3 = 8y - 16
Add 16  to each side.
3 + 16 = 8y - 16 + 16
19 = 8y
Divideach side by 8.
19/8 = y

Answer: [tex]y= \frac{19}{8} [/tex]

PLEASE HELP!
The prize for winning a contest can be chosen from category A or category B. Prizes from category A have a mean of $1000 and a standard deviation of $50. Prizes from category B have a mean of $1000 and a standard deviation of $300. Describe an advantage of each prize category.

Answers

       x         115
--------- = ------
 216.75   100
216.15*115=249263.25
249263.25/100=249.2625
x= 249.26  B

is -22 an irrational number???

Answers

-22 is not an irrational number     





no its a rational number

The leg of a right triangle is 3 units and the hypotenuse is 7 units. What is the length, in units, of the other leg of the triangle?

4
Square root of 40
Square root of 58
10

Answers

7^2 = 3^2 +x^2

49 = 9 +x^2

x^2 = 49-9 =40

x = square root of 40

Answer:

the square root of 40 is the answer your looking for

Step-by-step explanation:

The measures of two complementary angles are in the ratio of 5:7. what is the measure of the smaller angle?

Answers

Final answer:

To find the measure of the smaller angle with a ratio of 5:7 in two complementary angles, set up an equation based on the sum of 90 degrees, leading to a solution where the smaller angle measures 37.5 degrees.

Explanation:

The question asks to find the measure of the smaller angle when two complementary angles have a ratio of 5:7. To solve this problem, we recall that complementary angles sum up to 90 degrees. Since the angles are in a ratio of 5:7, we can denote the measures of the smaller and larger angles as 5x and 7x, respectively.

By combining these ratios, we have 5x + 7x = 90 degrees, which simplifies to 12x = 90 degrees. Solving for x gives us x = 90 / 12 = 7.5. Therefore, the measure of the smaller angle is 5x = 5 × 7.5 = 37.5 degrees.

Footrace takes place among 4 runners, how many ways to finish the race

Answers

4 * 3 *2 *1 = 24 different ways

What is the shape of a parallel cross section of a sphere?

Answers

The answer is a circle. Hope this helped :)
a sphere is round so when you take a cross section it would be a circle

The sum of a number and its reciprocal is 13/6. find the number

Answers

suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2

MATH HELP PLEASE !!!!!!!!!

Answers

3.14 *2r = 157

divide both sides by 3.14

2r = 157/3.14 =50

2r=50

divide both sides by 2

r = 50/2 =25

r = 25

You eat 3/10 of a pack of hotdogs, your friend eats 1/5 of the pack of hotdogs. what fraction of the hotdogs did you and your friend eat?

Answers

you and your friend ate 1/2 a pack of hotdogs

3/10 + 1/5

(1/5 = 2/10)

3/10+2/10 =5/10 = 1/2

answer math question, 50 pts for brainliest

Answers

slope = (71.75 - 41)/(7 - 4) = 30.75 /3 = 10.25

answer is B.
the slope is 10.25. This means that Dante earns $10.25 each hour

71.75-41 = 30.75

7-4=3

30.75 / 3 =10.25

 slope is 10.25

 Answer is B

The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.

Answers

With a perimeter of 36, and a known width of 5, that means the length is 13.  This makes the area 65.

Perimeter = (2 x Length) + (2 x Width)Width = [Perimeter - (2 x Length)]/2= [36 -(2 x 13)]/2= (36 - 26)/2= 10/2= 5 inches
Area = Length x Width= 13 x 5 = 65 square inches



What equation is graphed in this figure?

A.y-4=-1/3(x+2)
B.y-3=1/3(x+1)
C.y+2=-3(x-1)
D.y-5=3(x-1)

Answers

Hello there!

The correct answer is option C

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

Graph using the slope and y- intercept

Slope: -3
Y-intercept: 1

Good luck with your studies!

To rent a certain meeting room, a college charges a reservation fee of
$
31

and an additional fee of
$
6.60

per hour. The history club wants to spend at most
$
77.20

on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use
t

for the number of hours the meeting room is rented, and solve your inequality for
t

.
thank you for your help =)

Answers

31 + 6.60h <=77.20

6.60h <= 46.20

46.20/6.60 = 7

 they can rent up to 7 hours

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