The two figures are similar because each side length of the image is times the corresponding side length of the preimage and all the pairs of corresponding angles are congruent.
How to determine the true statements?The transformations are given as:
RotationTranslationDilationRotation and translation would preserve the lengths and the angles of the triangles. Because they are rigid transformations.
Dilation would only preserve the angle of the triangles. Because it is a nonrigid transformation.
The above means that the angles of triangle PQR and triangle P'Q'R' are congruent
Hence, the true statement is (d)
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find the highest common factor using prime factorization for 27y and 54y³
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
72 is the result of x-20%
Help please--the way that I thought of solving this is not what the book says the answer is
Answer:
The original cost was $90.
Step-by-step explanation:
"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"
Your equation contains an error that will lead to an incorrect answer.
This is the correct way to write the equation.
We don't know the original price, so we let x = the original price.
The discount was 20% off the original price, so the discount is 20% of x.
20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.
x - 0.2x
She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.
x - 0.2x = 72
Now we solve for x, the original price.
x - 0.2x = 72
Combine like terms on the left side.
0.8x = 72
Divide both sides by 0.8
0.8x/0.8 = 72/0.8
x = 90
Answer: The original cost was $90.
P.S.
You must be careful when writing the equation. What you wrote was
x - 20%
on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing
x - 20% = 72
you are in fact writing
x - 0.2 = 72
meaning that the discount was $0.20
A discount of 20% on $90 is really $18, not $0.20.
There is a big difference there.
If you have any questions, just ask in the comments.
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.
A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000
Answer:
the selling price is 18,400
Step-by-step explanation:
The computation of selling price is shown below:
Given that
The cost price of the shirts is 20,000
And, there is a loss of 1,600
So, the selling price is
= 20,000 - 1.600
= 18,400
hence, the selling price is 18,400
Need help............
Answer:
i would say C
Step-by-step explanation:
Which one of the following examples represent a repeating decimal?
Answer:
C. 0.777777
Step-by-step explanation:
A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answer:
20%
Step-by-step explanation:
Subtract the original number from the new number: 90-75=15
The increase is 15
Now divide the increase by the original number: 15/75=.20
Then multiply your answer by 100: .20x100=20
what fraction of 9 is 3
Answer:
1/3
Step-by-step explanation:
Take the part over the whole
3/9
We can simplify
Divide the top and bottom by 3
1/3
1/3
Step-by-step explanation:
3/9 is 1/3 because dividing both sides by 3 is 1/3
Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?
A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb
Answer:
5
Step-by-step explanation:
20÷4=5
Solve for X please show your work
6(x-4)=12
Beth bought x pounds of grapes. Mary bought 4/9 less than that
Answer:
[tex]\frac{5x}{9}[/tex]
Step-by-step explanation:
Mary bought: x - [tex]\frac{4}{9}[/tex]x = [tex]\frac{5x}{9}[/tex]
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?
I got the answer Antonio had a head start of 3 meters.
Answer: i just did a quiz with this question and the answer is antonio had a head start of 3 meters.
Step-by-step explanation: hope this helped! thx for the points :D
1/2(m - 3) = 1/4(m - 7)
I
Solve
Helppppppp me with question 5 Tuesday pleaseeeeee
Answer:
n=19
Step-by-step explanation:
5+14=n
19=n
Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $10,740. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.
Find the length of AB
Answer:
69
Step-by-step explanation:
Your friend says that the solutions to the inequality 7x-20x<52 are x<-4 Solve the inequality correctly. What error did your friend make?
What are the solutions of the inequality?
Answer:
instead of x < -4 it should be x > -4
Step-by-step explanation:
7x - 20x < 52
subtract 20x from 7x which is -13x
now the equation is -13x < 52
divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4
hope this helps :)
y/-2 = -34
giving brain.
Answer:
y=68
Step-by-step explanation:
Answer:
y = 68
Step-by-step explanation:
We have the expression y over -2 = -34 and are asked to solve or y.
To solve, we need to isolate for y :
y/-2 = -34
Multiply -2 from both sides :
[tex]\frac{y}{-2} *-2=-34*-2[/tex]
[tex]y = 68[/tex]
The difference of two numbers is 2 their sum is 22 what are the numbers
12+10=22
12-10=22
is the two numbers whose sum is 22 and difference is 2.
cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto?
Answer:
se necesitan aprox 50 galones para llenarlo por completo
6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di
Answer:
3456/8 = 432
432 miles per hour
Step-by-step explanation:
An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
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WILL GIVE BRAINLIEST
A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)
Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys? Show or Explain or work.
Answer:
Step-by-step explanation:
look for the stem and leafs that are less than 10 and add them all up
5+7+9
15-3x=-6 what is the answer
Answer:
x=7
Step-by-step explanation:
Simplify n ⋅ n⋅ 2n
someone please help thanks
Answer:
the answer would be:
[tex]2n^3[/tex]
Hope that helps! :)
Step-by-step explanation:
Translate the sentence into an equation.
Six more than the product of a number and 3 is 2
Answer:
3X+6=3
Step-by-step explanation:
six more can added before or after of the product of a number X and 3. substitute is by =
3x×6=3
Where would the shape be located after a translation of 5 units to the right?
A. Quadrant 3
B. Quadrant 2
C. Quadrant 1
Answer:
It the shape would be in quadrant 1
Answer: Quadrant 1 I think
Step-by-step explanation:
what is this 12 x ? = 5
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Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt
Answer:
$35.21
Step-by-step explanation:
100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21
Answer: $35.21
Step-by-step explanation: 100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21