A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
Learn more about rigid transformation here:
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David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $32? Round to the nearest cent.
Discounts are used to reduce the original price of an item.
David will pay $25 and 92 cents for an item of $32, before tax
The discount (d) is given as:
[tex]d =19\%[/tex]
The price (p) of the item is given as:
[tex]p = \$32[/tex]
So, the amount (A) paid before tax is calculated using:
[tex]A = p \times (1 - d)[/tex]
Substitute known values
[tex]A = \$32 \times (1 - 19\%)[/tex]
Express percentage as decimal
[tex]A = \$32 \times (1 - 0.19)[/tex]
Subtract 0.19 from 1
[tex]A = \$32 \times 0.81[/tex]
Multiply 32 and 0.81
[tex]A = \$25.92[/tex]
Hence, David will pay $25 and 92 cents for an item of $32, before tax
Read more about discounts at:
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who wants to text back and forth pls add me
Answer:
..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?
help me 20 pts pls and brainliest
Answer:
elaboration
Step-by-step explanation:
tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question
Select the correct answer from each drop-down menu.
Answer:
so sorry i don't know the answer
Mrs. Yamamoto is taking her class to the theater. The total cost for the students' tickets is $55.
Let y represent the number of students in Mrs. Yamamoto's class. Which expression
renresents the cost of each ticket in dollars?
Answer:
look it up i need my coins
Step-by-step explanation:
Solve for x.
x2 + 4x - 21 = 0
It takes 2 yards of material to
make 6 scarves, how many yards of material are needed to make 24
scarves?
If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
point-slope form?
O A. y-1 = 2(x-2)
O B. y-1 = 2(x+ 2)
O C. y-2 = -2(x-1)
O D. y + 2 = -2(x - 1)
SUBMIT
Answer: The point-slope form is: y - 1 = 2(x + 2). Therefore, the answer is B.
I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!
Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9
Answer:
y=-3x-14
Step-by-step explanation:
y=mx +c
m= 1/3
perp m= -3
goes through point (6,-4)
sub numbers
-3x-2y=-6
-3x+2y=18
(?,?)
[tex]\left \{ {-3x-2y = -6} \atop {-3x+2y=18} \right. <=>\left \{ {-6x=12} \atop {-3x+2y=18} \right. <=> \left \{ {x=-2} \atop {y=6} \right.[/tex]
The answer: ( x ; y ) = ( -2 ; 6 )
Ok done. Thank to me :>
a ______ is a line that is perpendicular to a line segment and intersects the line segment at its midpoint?
Answer:
Perpendicular Bisectors
Step-by-step explanation:
Recall that a perpendicular bisector intersects a line segment at its midpoint and is perpendicular.
From this pie chart answer the following:
(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?
Jarrod earns $12 an hour at his job. The table shows what Dale earns at his job. Which statement is true?
Answer:
Need the table, and the statements
Step-by-step explanation:
There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?
Step-by-step explanation:
72 apples.
38 red, and therefore 72-38 = 34 green.
46 have worms, therefore 72-46 = 26 have not.
and so, in the best case you have 26 green apples without worms.
find the derivative of sin2X
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
2cos2x
Step-by-step explanation:
Using the Chain rule
[tex]\frac{d}{dx}[/tex] (sin2x)
= cos2x × [tex]\frac{d}{dx}[/tex] (2x)
= cos2x × 2
= 2cos2x
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Answer:
The second bag is the better deal
Step-by-step explanation:
8÷2.56= $3.13 per potato
10÷ 4.32= $2.31 per potato
the price of a bag was rupees 700 last it increased 2% this year, what is the price now
Answer:
14
Step-by-step explanation:
Percentage increase =
2% × 700 =
2 ÷ 100 × 700 =
2 × 700 ÷ 100 =
1,400 ÷ 100 =
14
Answer:
Step-by-step explanation:
In order to use a percent in the math work, it must be changed to a decimal, so instead if 2% use .02
700 × .02 = 14
14 is the amount of the increase, so it must be added onto the strarting amount.
700 + 14 = 714
A different way to do this is to say the new amount will be all of the original amount (100%) and also the increase (2%) So in just one step we can calculate th new amount
700 × 1.02 = 714
714 is the price now.
The table shows the average temperatures of different cities on a particular day. On a number line, which city's temperature will be between the temperatures of Manning and Stanville?
Answer:
chicken tender
Step-by-step explanation:
rgerr
Answer:
Step-by-step explanation:
is the sum of two rational numbers always rational
Answer:
in short, Yes they are always rational.
here's why...
E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had
Step-by-step explanation:
#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?
========================================================
Explanation:
We're given f(1) = 3.2 which says the first term of the sequence is 3.2
To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...
f(x+1) = 2.5*f(x)
f(1+1) = 2.5*f(1)
f(2) = 2.5*f(1)
f(2) = 2.5*3.2
f(2) = 8
The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.
The third term is handled pretty much in a similar fashion
third term = 2.5*(second term)
third term = 2.5*8
third term = 20
Lastly, the fourth term f(4) is...
f(x+1) = 2.5*f(x)
f(3+1) = 2.5*f(3)
f(4) = 2.5*f(3)
f(4) = 2.5*20
f(4) = 50
The fourth term is 50.
The first four terms are: 3.2, 8, 20, 50
Which choice is similar to the figure shown?
Mrs. Owens had to call the local plumber to install a hot water heater. the equation y= 50x+75 is the relationship between his hours worked (x) and the amount of the bill (y).A. How much money did the plumber charge for the service call? How can you tell from the equation?B. How much is the plumber charging per hour? How can you tell from the equation?
Answer:
A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.
B. He charges 50 dollars per hour because the slope of the equation is 50.
Step-by-step explanation:
There were 264 pieces of broccoli and 60% of them were covered in cheese how many of them were covered in cheese
Answer:
158.4 pieces of brocoli were covered in cheese
Step-by-step explanation:
Select each expression that has a value of 15 when x = 15.
A. x3 + 10
B. 15,521 ÷ x
C. (3,015 ÷ x) – 186
D. 20x2 ÷ 30
E. 2x25 – 25
20 points.
The midpoint of AB is (-1, 5) and the coordinates of point A are (-3, 2) what are the coordinates of point B?
Answer:
B (1, 8 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )
Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is
[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )
- 3 + x = - 2 ( add 3 to both sides )
x = 1
[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Then point B = (1, 8 )
how to multiply workout
Answer:
Steps to multiply using Long Multiplication
Multiplying 2-Digit by 2-Digit Numbers
Let us multiply 47 by 63 using the long multiplication method.
1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

2. Multiply ones digit of the top number by the ones digit of the bottom number.
Write the product as shown.

3. Multiply the tens digit of the top number by the ones digit of the bottom number.

This is our first partial product which we got on multiplying the top number by the ones digit of the bottom number.
4. Write a 0 below the ones digit as shown. This is because we will now be multiplying the digits of the top number by the tens digit of the bottom number. Hence, we write a 0 in the ones place.

5. Multiply the ones digit of the top number by the tens digit of the bottom number.

6. Multiply the tens digit of the top number by the tens digit of the bottom number.

This is the second partial product obtained on multiplying the top number by the tens digit of the bottom number.
7. Add the two partial products.

In long multiplication method, the number on the top is called the multiplicand. The number by which it is multiplied, that is, the bottom number is called the multiplier.
So, a long division problem will have:

We follow the same method for multiplying numbers greater than 2-Digits.
The figure below shows the long division method to multiply 357 by 23
A class of 25 students has 12 females. What is the ratio of males to females?
PLZ ANSSWER QUICK ITS URGENT FOR MY HOME-WORK!!!
Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.
Answer:
it is not
Step-by-step explanation:
0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
It is too garlicky.
Step-by-step explanation:
lol, uhm, this is a little bit of a strange question ngl, but I guess it's testing you on measurements and units, right?
Well, 12 gloves of garlic for every 900 mL of sauce in comparison to 8 cloves of garlic for every 500 mL of sauce is quite a difference to be honest, might even be too much in her opinion. 8 cloves for every 500 mL is more than 12 cloves for every 900 mL, so I'd say she'll think it's too garlicy.
I apologize, in advance, if I am incorrect.
Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?
Answer:
75%
42/56 = 42/56
Convert to decimal form:
42÷56 = 0.75
= 75%
Can you mark as brainliest if its right?
Answer:
75%
Step-by-step explanation:
42/56 = 0.75 = 75%