Penny translate a trapezoid so that one of the vertices is at the origin. if the pre-image has a perimeter of 44 units what is the perimeter of the image
Answers
Translations are part of rigid motions which also include reflection and rotation. For these three, we can then assume that neither the perimeter nor the area of an object would change. This means that, once an object is translated it is not biased or distorted (either enlarged or diminished). Thus, making the perimeter of the original and the image are equal. So for this problem, the perimeter of the image would be the same as the pre-image, and that would be 44 units.
In the context of geometric transformations, the shape and size do not change, only position. Therefore, if the trapezoid's pre-image has a perimeter of 44 units, the image, as a result of translation, will have the same perimeter of 44 units.
Explanation:In the context of geometric transformations like translations, rotations, or reflections, the shape and size of the object do not change--only its position does. The pre-image and the image are congruent, so their perimeters are the same.
In the situation described in your question, Penny's trapezoid is translated so that one of its vertices is at the origin. Because a translation is a type of isometry (a transformation that preserves distance), the shape of the trapezoid and the lengths of its sides will not change in the translation process. As a result, if the perimeter of the pre-image is 44 units, then the perimeter of the image will also be 44 units, regardless of where the vertices are located.
Learn more about Geometric Transformations here:https://brainly.com/question/29987040
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Related Questions
A grocery store sells crackers in three box sizes. Which size box is the best buy? 8 oz for $2.00 12 oz for $2.64 16 oz for $3.20
Answers
$ 2.64 / 12 = 0.22 and $ 3.20 / 16 = 0.2. So the correct answer would be, 8 oz for $2.00.
Answer:
Option C is the correct choice.
Step-by-step explanation:
We have been given that a grocery store sells crackers in three box sizes.
To find the best buy, we will find the cost of per ounce crackers for each box.
[tex]\text{The price per oz for option A}=\frac{\$2}{8\text{ oz}}[/tex]
[tex]\text{The price per oz for option A}=\frac{\$0.25}{\text{ oz}}[/tex]
Therefore, the option A offers $0.25 for per oz of crackers.
[tex]\text{The price per oz for option B}=\frac{\$2.64}{12\text{ oz}}[/tex]
[tex]\text{The price per oz for option B}=\frac{\$0.22}{\text{ oz}}[/tex]
Therefore, the option B offers $0.22 for per oz of crackers.
[tex]\text{The price per oz for option C}=\frac{\$3.20}{16\text{ oz}}[/tex]
[tex]\text{The price per oz for option C}=\frac{\$0.20}{\text{ oz}}[/tex]
Therefore, the option C offers $0.20 for per oz of crackers.
Since the price offered by option C is less than other two options, therefore, option C is the correct choice.
which polygon does NOT belong with the other three?
A. parallelogram
B. rectangle
C. rhombus
D. Pentagon
Answers
Answer:
The polygon that does NOT belong with the other three is a pentagon.
Step-by-step explanation:
A polygon is a 2 D shape formed with straight lines. Like - triangles, quadrilaterals, pentagons, hexagons etc.
Here in the given choices, parallelogram , rectangle and rhombus all are four sided polygons and has parallel sides.
Only pentagon has 5 sides with no parallel sides.
Hence, the polygon that does NOT belong with the other three is a pentagon.
If k= am + 3mx, Express the value of m in terms of a, k and x?
Answers
factorise m
k= m(a+3x)
divide by a+3x
Factorise m
k= m (a+3x)
Divide by a + 3x
The cost of a ticket to ride a roller coaster at the fair is $2. there are n people in a group who want to go on the ride. write an expression that describes the total amount of money the group will need to ride this roller coaster.
Answers
n(2)
How do I solve this?
Answers
If 3x-1>=0 then
x>=1/3
|3x-1\=3x-1
2*|3x-1|=18
2*(3x-1)=18
6x-2=18
6x=20
x=10/3
else
x<1/3
|3x-1|=-(3x-1)
2*|3x-1|=18
2(-(3x-1))=18
-6x+2=18
-6x=16
x=-8/3
endif
Determine the dimensions of the rectangle that requires a minimum amount of fence.
Answers
How did geography influence the economy in the Mid-Atlantic/Middle colonies?
A) Different land types allowed colonists to export crops and other goods.
B) The short growing season allowed colonists to grow many types of grains.
C) Poor soils and rocky hills caused colonists to import most of their grains.
D) The many natural resources available drove colonists to focus on agriculture.
Answers
A) Different land types allowed colonists to export crops and other goods.
If a set of xy-axes has 20 grid units in each direction and the greatest value the data to be placed on the horizontal axis is 132, what would be the appropriate and convenient scale to use for this axis? Explain
Answers
Thus will make the graph spread adequately across the axis as well provide a good sub-units for the graph (i.e. each grid unit will be divided into 8 equal subunits)
what is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125
Answers
Please help.
The graph of the function f(x)=|x+3| is translated 5 units down.
What is the equation of the transformed function?
Enter your answer in the box.
g(x)= _________
Answers
down five units means add -5 to then end of the equation
Keywords
transformed function, translation, rule
In this problem we have
[tex]f(x)=|x+3|[/tex]
we know that
If the translation is [tex]5[/tex] units down
then
the rule of the translation is equal to
[tex](x,y)-------> (x,y-5)[/tex]
therefore
the answer is
the equation of the transformed function is equal to
[tex]g(x)=|x+3|-5[/tex]
see the attached figure to better understand the problem
ABC and CBD form a linear pair and have equal measures. Tell if ABC is acute, right, or obtuse
Answers
but if they have equal measures....180/2 = 90...then they would both equal 90 degrees.....and 90 degrees is a right angle.
So ABC and CBD are both right angles
Answer:
Right angle
Step-by-step explanation:
When two lines intersect, a linear pair is formed, two angles being linear pair means the sum of those two angles is 180°.
Now if ∠ABC and ∠CBD for a linear pair,
∴∠ABC + ∠CBD = 180°
also given that ∠ABC and ∠CBD are of equal measure
∴ ∠ABC + ∠ABC = 180°
⇒ ∠ABC = 90° = ∠CBD
∴ ∠ABC is right angle
Write a function rule: 7 more than the quotient of a number n and 4 is 9
pls help!!!
Answers
If 7 times a certain number is added to 12, the result is 47
Answers
So we can write this out as an equation, or:
7x + 12 = 47
Now we can just solve this.
7x + 12 - 12 = 47 - 12
7x = 35
/7 /7
x = 5
So the certain number is 5.
From a point level with and 1000ft away from the base of the washington monument, the angle of elevation to the top of the momument is 29 degrees. find the height of the monument
Answers
If A = James's present age, write an expression for his age seven years from now.
Answers
Answer:
A + 7Step-by-step explanation:
Given,
James's present age be = A
So,
After seven years from now will be +7
Therefore,
James age, seven years after his present age is,
= (A) + (7)
= A + 7
Hence, the required expression is: A + 7 (Ans)
Hello there, I hope you are having a nice day.
We are given that James's present age is A years.
If James's present age is a years, then in 7 years his age will be
A+7
Which means that whatever A is, it will be 7 more in 7 years.
Hence, the expression is A+7 (Answer)
Hope it helps.
~An emotional teen who helps others and listens to her favourite song "How Far I'll Go"
-Grace ;-)
Good luck with your studies.
Two cars leave the origin; one goes north at 45 mph and the other goes south at 30 mph. after how many hours will they be 400 miles apart?
Answers
400 = 75x
5.333 = x
Lets test
45mph for 5.333 hours = 240 miles
30mph for 5.333 hours = 160 miles
240 + 160 = 400 miles apart.
Which line segment is parallel to plane FGKJ?
Answers
A student measures a rectangular room to be 20.0 m * 17.16m. which of the numbers below represents the room's area with the correct number of significant figures
Answers
A = L x W
in which A is the area, L is the length, and W is the width. Substituting the known values to the equation,
A = (20.0 m)(17.16 m) = 343.2 m²
Since, the least number of significant figures in the multiplier is 3, our answer ought to be in 3 significant figures. The answer to this item is therefore 343 m².
One theme from "The Yellow Wallpaper" is that women played a lesser role in marriage during the 19th century. Which line from the passage best supports this theme?
Answers
Answer: Answer is A for apex ; ` And I know John would think it absurd. But I MUST say what I feel and think in some way - it is such a relief! ´
Step-by-step explanation:
Jim has received scores of 72 72 and 77 77 on his first two 100 point tests. what score must he get on his third 100 point test to keep an average of 79 79 or greater?
Answers
149/2=74.5
through the process of elimination, I found that Jim needs to get an 88 or higher to receive an average of 79 or greater.
77+72+88=237
237/3=79
∠A and ∠B are vertical angles with m∠A=x and m∠B=4x−30 . What is m∠A ? Enter your answer in the box.
Answers
Answer:
[tex] x = 4x -30[/tex]
We can solve for x subtracting x on both sides:
[tex] x-x= 4x-x-30[/tex]
And then we can add 30 in both sides:
[tex] 30= 3x[/tex]
And dividing both sides by 3 we got:
[tex] x = 10[/tex]
Step-by-step explanation:
For this case we know the measure of two angles:
[tex]m <A = x[/tex]
[tex] m<B = 4x-30[/tex]
And we know that both angles are vertical and by definition vertical angles are the angles opposite each other when two lines cross.
For this case since both angles are vertical we have the property that:
[tex] m<A = m<B [/tex]
And replacing what we got we have:
[tex] x = 4x -30[/tex]
We can solve for x subtracting x on both sides:
[tex] x-x= 4x-x-30[/tex]
And then we can add 30 in both sides:
[tex] 30= 3x[/tex]
And dividing both sides by 3 we got:
[tex] x = 10[/tex]
HELP PLEASE
Which of the following graphs is not a function
Answers
In this case, the heart is not a function, because if you cut it up-down direction, your imaginary knife will touch the edge of the heart twice.
I hope this explanation helps.
3 out of 5 picks are orange.If 12 picks are orange,how many picks are there in all?
Answers
a deck of 28 cards contains 6 blue cards, 13 red cards and, 9 yellow cards what is the probability of randomly drawing a blue card from this deck?
Answer choices:
1/6
1/3
11/14
3/14
Answers
81 1/4 is equal to 2. True or False
Answers
81 1/4 is much greater than 2.
What is the original price of a telescope the discount is 30% and the sale price is $126?
Answers
[tex]\displaystyle x\cdot \frac{30}{100} = 126 \\\\ \frac{3x}{10}=126\\\\3x=1260\\\\x=420 [/tex]
The length of the boston marathon is 138,435 ft. each stride, or step, by a particular runner is 3ft. long. does the number of strides the runner takes fit evenly into the length of the race? explain.
Answers
Yes 138,435 can be divided by 3 it equals to 46,145
f f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (F/g)(x)
Answers
Can someone explain to me what a consistent-dependent system is?
Answers
(a + b)2 = 1a^2 + 2ab + 1b^2
(a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3
How are binomial expansions related to Pascal’s triangle?
Answers
where n=0, 1, 2, 3, ...
For example
[tex]\displaystyle{ (a+b)^0=1[/tex]
[tex]\displaystyle{(a+b)^1=1a+1b[/tex]
[tex]\displaystyle{(a+b)^2=1a^2+2ab+1b^2[/tex]
[tex]\displaystyle{ (a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3[/tex]
...
...
Consider the Pascal's triangle, as shown in the picture, where the very first row is denoted by row 0, the second by row 1, the third by row 2 and so on...
We notice that the coefficients of the expansion of [tex](a+b)^n[/tex], are the entries in the [tex]n^{th}[/tex] row of Pascal's triangle.
Answer:
The coefficients of the terms come from rows of the triangle.
If the exponent is n, look at the entries in row n.