Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1. Four rectangles, labeled P, Q, R and S. Each rectangle is a scaled copy of one another. Ranked in order from least to greatest, the area of the rectangles are as follows: the area of P is equal to S, which are less than the area of Q, which is less than the area of R. From P to Q from P to R from Q to S from Q to R from S to P from R to P from P to S
Answers
I attached a diagram that will aid the understanding of the question.
Firstly, I would love to review what a scale factor is before going into the question.
If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.
Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:
1. From P to Q, the scale factor greater than one because Q is bigger than P.
2. From P to R, the scale factor is greater than one for the same reason.
3. From Q to S, the scale factor is less than one because S is smaller than Q.
4. From Q to R, the scale factor is greater than one because R is bigger than Q.
5. From S to P, the scale factor is equal to one because they are equal.
6. From R to P, the scale factor is less than one because p is smaller than R.
7. From P to S, the scale factor is equal to one because they are equal.
Related Questions
HELP RIGHT NOW PLEASE! The perimeter of the rectangle below is 94 units. Find the length of side PS. Write your answer without variables
Answers
Answer:
22
Step-by-step explanation:
so permeter of a square is the sum of all the sides
94=5x+5x+4x+2+4x+2
so x=5
then simply subistitue 5 in 4x+2
4(5)+2
=22
please help
Quinn wants to buy a television to put on the wall in his living room. He is putting it over a table that is 40 inches long, but because of a shelf on the wall, it cannot be higher than 23 inches. Quinn knows that when he purchases a TV, there is only one measurement that is used, which is the diagonal measurement rounded to the nearest inch across the visible screen. What is the largest TV he can buy to fit in his space?
40 inches
44 inches
46 inches
48 inches
Answers
Answer:
44 because if he goes more longer it will not fit
Luis le dice a su amiga: "Yo tengo ahora el triple de edad que tú tenías, cuando yo tenía la edad que tú tienes ahora". Si entre los dos suman 50 años, ¿cuántos tiene cada uno?
Answers
Answer:
Luis tiene 30 años de edad y su amiga tiene 20 años edad.
Step-by-step explanation:
Cuando Luis tenia 20 años de edad (hace 10 años), su amiga tenia solamente 10 años de edad. Si multiplicamos 10 x 3 nos da como resultado 30, que es la edad actual de Luis.
L + A = 50
3(A - x) = L
L = 50 - A
3A - 3x = 50 - A
4A = 50 + 3x
en este punto podemos probar diferentes alternativas para x:
x = 5, entonces 4A = 50 + 15
A = 16.25 no es factible porque estamos buscando numeros enteros
x = 6, entonces 4A = 50 + 18
A = 17
al reemplazar, nos da una edad de 3(17 - 5) = 36 para Luis, pero 36 + 17 = 53
x = 8, entonces 4A = 50 + 24
A = 18.5 no es factible porque estamos buscando numeros enteros
x = 10, entocnes 4A = 50 + 30
A = 20
al reemplazar, nos da una edad de 3(20 - 10) = 30 para Luis, y 30 + 20 = 50
Write an equation of the line passing through the point (6, 3) that is perpendicular to the line 6x + 5y = 10
An equation of the line is
y=?
Answers
Answer:
[tex]y=\frac{5}{6}x-2[/tex]
Step-by-step explanation:
Let the equation of a line passing through a point [tex](x_1,y_1)[/tex] and slope [tex]m_1[/tex] is,
[tex]y-y_1=m_1(x-x_1)[/tex]
Equation of the second line has been given as,
6x + 5y = 10
Slope-intercept form of the equation will be,
5y = -6x + 10
y = [tex]-\frac{6}{5}x+10[/tex]
Here slope of the line [tex]m_2=-\frac{6}{5}[/tex]
If both the lines are perpendicular,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]m_1\times (-\frac{6}{5})=-1[/tex]
[tex]m_1=\frac{5}{6}[/tex]
Therefore, equation of the line passing through (6, 3) and slope = [tex]\frac{5}{6}[/tex] will be,
y - 3 = [tex]\frac{5}{6}(x-6)[/tex]
y = [tex]\frac{5}{6}x-5+3[/tex]
[tex]y=\frac{5}{6}x-2[/tex]
Find the slope with the given coordinates (9,-4) (-2,3)
Answers
Answer:
the slope is-7/11
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=3-(-4)/(-2)-9
m=7/-11
m=-7/11
Charlie bought 2 3/4 pounds of pears for $.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes
Answers
Answer:
$5.94
Step-by-step explanation:
Multiply 2.75 by $0.76 to get $2.09
Multiply 2.75 by $1.40 to get $3.85
Add $3.85 and $2.09 to get $5.94
Answer:
$5.94
Step-by-step explanation:
What is the remainder when 73,847 is divided by 43? Enter your answer as a whole number in the box
Answers
Answer:
The Answer is 16.
Step-by-step explanation:
I took the test. I hope this helped! :)
The remainder when 73,847 is divided by 43 will be 16.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mathematical expression is,
''73,847 is divided by 43''
Now,
Find the remainder when 73,847 is divided by 43 as;
43 ) 73,847 (1717
- 43
--------
308
- 301
-------
74
43
-------
317
- 301
------
16
Thus, The remainder when 73,847 is divided by 43 will be 16.
Learn more about the division method visit:
https://brainly.com/question/24680051
#SPJ2
Which line fits the scatter plot better?
Answers
The manufacturers of can of salted mixed nuts state that the ratio of peanuts to other nuts is 6 to 5 . If 414 peanuts are in a can how many other nuts should also be in the can
Answers
Answer:
345 other nutsStep-by-step explanation:
Ratio problem, we are going to use the part to all approach
Step one:
given data
the ratio of peanuts to other nuts is 6 to 5
otherwise expressed as 6:5
the total ratio is 6+5= 11
the total number of peanut is 414
let the other nuts be x
6/5=414/x
cross multiply we have
414*5= 6x
2070=6x
divide both sides by 6
x=2070/6
x=345
345 other nuts
A bag contains 95 blue marbles, 7 red marbles, and 5 green marbles. One marble is randomly
chosen. Select all true statements about the marble chosen.
A It is certain that the marble was blue.
B. It is unlikely that the marble chosen was green.
C. It is unlikely that the marble chosen was orange.
D. It is likely that the marble chosen was blue.
E It is not possible that the marble chosen was green.
E It is neither likely nor unlikely that the marble chosen was red.
Answers
Answer:
B,D, and the last E
Step-by-step explanation:
The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?
Answers
Answer: The highest recorded temperature was 38 degrees.
Step-by-step explanation:
Given: The coldest temperature last December was –18.24 degrees.
Difference between this and the highest recorded temperature=
56.24 degrees
The highest recorded temperature = coldest temperature + difference
= -18.24+56.24 degrees
= 38 degrees
Hence, the highest recorded temperature was 38 degrees.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats? I need help ASAP ...
Answers
Answer:
5 = 25
3 = 15
Step-by-step explanation:
25/5 = 5
So, 5 x 5 = 25
3 x c =
Then, 3 x 5 = 15
5 = 25
3 = 15
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?
Answers
Answer: 45
Step-by-step explanation:
please help I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 3 passing through the point (-5, -6).
Select one:
a. -x + 3y + 13 = 0
b. -3x + y - 9 = 0
c. 3x - y + 9 = 0
d. x - 3y - 13 = 0
Answers
Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.
[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]
Step 3: We now need to write the equation of the line in slope-intercept form.
[tex]y = 3x + 9[/tex]
Step 3: Now we convert the above equation from slope-intercept form to standard form.
[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]
Our equation in standard form is: B. -3x + y - 9 = 0.
an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years
Answers
P = $55,000 r= 0.10 t= 14 years
A = 55,000(1+(0.10)(14) = 55,000(2.4)
A = $132,000 after 14 years
x + 2x + 12y + 4 I don't know the answer can someone help me please
Answers
Answer:
The asnwer is 3x + 12y + 4
Answer:
I think you wrote it wrong but if not here
Step-by-step explanation:
Simplifying
2x + -12y = 4
Solving
2x + -12y = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12y' to each side of the equation.
2x + -12y + 12y = 4 + 12y
Combine like terms: -12y + 12y = 0
2x + 0 = 4 + 12y
2x = 4 + 12y
Divide each side by '2'.
x = 2 + 6y
Simplifying
x = 2 + 6y
I need someone to pls pls help me on these
Answers
Answer: add my intagram Its_yo_boy_Jonathan65
Step-by-step explanation:
-4x 3 y 2(7xy 4) i need help
Answers
Answer:
−672x2y2
Step-by-step explanation:
The answer is:
-28x^4y^6
Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child. Which a y = 10x + 5 b y = 5x + 10 c y = -5x + 10 d y = -10x -5
Answers
Answer: B. y = 5x + 10
Step-by-step explanation:
Based on the scenario in the question, you didn't really say what you'll like to calculate but I guess you want to know the equation that can be used to represent the above information.
Let x = the number of children babysit
The amount charged by Sandy can then be written as:
y = 10 + 5(x)
y = 10 + 5x
y = 5x + 10
Therefore, the correct option is B.
ethansledd17 come here! what is 300 divided by 5?
Answers
Answer:
60
Step-by-step explanation:
What is the slope of the line that passes through (5, 4) and (7, 10) ?
A 3
B -3
C 2
D
-2
Answers
Answer:
3
Step-by-step explanation:
You would first plug in the points to the slope formula which is as follows:
m = y2 - y1 / x2 - x1
When you plug it in, it should look as follows:
m = 10 - 4 / 7 - 5
You should now add like terms.
m = 6/2
You should now simplify.
m = 3
1) f(x) = - x2 + 4x - 10
Find f(5)
Answers
-(5)2 + 4(5) - 10 = 0
( √-5+2 √20) ( -√-5)
Answers
Answer: 5 - 20 i
Step-by-step explanation:
5/6 divided by 11/13
Answers
Answer:
65/66
Step-by-step explanation:
Find the reciprocal of the second number (11/13), which you find by flipping the top and bottom number so it would be 13/11. Now multiply the top two numbers which are 5 and 13, that equals 65. Multiply the bottom numbers, 6 and eleven which is 66. That is how you get 65 over 66.
Answer:
65/66
Step-by-step explanation:
5/6 * 13/11 = 65/66
5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.
Answers
B. Yes because 26/2 does equals = 13
C. No because -3.8(2) equals -7.6 and not -7.4
D. No because 4(2-1)-3(2-2) equals 4 and not -8
x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
What is Equation?Two or more expressions with an Equal sign is called as Equation.
-2(x-4)=4
-2(2-4)=4
4=4
Hence, x=2 is the solution
26/x=13
Now x=2
26/2=13
13=13
Hence, x=2 is the solution
-3.8x=-7.4
Now x=2
-3.8×2=-7.4
-7.6=-7.4
x=2 is not a solution of -3.8×2=-7.4
4(x - 1) – 3(x - 2) = -8
4(2-1)-3(2-2)=-8
4=-8
x=2 is not a solution of -3.8×2=-7.4
Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
What is the value of (3.4)2
Answers
Answer:
The answer is 6.8
Step-by-step explanation:
2(3.4) means 2 times 3 point 4
3.4 + 3.4 = 6.8
A company that makes hair-care products had 9,000 people try the new shampoo. Of the 9,000 people, 36 had a mild allergic reaction. Wht percent of the people had a mild mild allergic reaction?
Answers
Answer:
0.4% of the people had a mild allergic reaction.
Step-by-step explanation:
You can find the percent of the people that had a mild allergic reaction using a rule of three as you know that 9,000 people tried the new shampoo which would be the 100% and you can find the percent that represents 36 people:
9,000 → 100%
36 → x
x=(36*100)/9,000
x=0.4%
According to this, the answer is that 0.4% of the people had a mild allergic reaction.
Melissa earns
as much in a day of babysitting as Bret does, and Breanna earns $20 more than Bret. If their total babysitting
earnings for one day is $245, how much does Melissa earn per day?
Answers
Answer:
$75
Step-by-step explanation:
let the amount melissa earn be X
and we know that Bret also earns X
than
Breanna earns = X+20
so
X+X+X+20 = 245
3X +20=245
3X= 245-20
3X= 225
X= 75
Eduardo and Krystal each improved their yards by planting daylilies and shrubs. They bought their supplies from the same store. Eduardo spent $65 on 5 daylilies and 5 shrubs. Krystal spent $76 on 4 daylilies and 10 shrubs. What is the cost of one daylily and the cost of one shrub? SHOW YOUR WORK *
Answers
Answer:
Step-by-step explanation:$9 daylilies, $4shrubs. 9x5=45+4x5=20 $65. 9x4=36+10x4=$76
What is the gfc of 24 and 36
Answers
Answer:
6 is the gfc
Step-by-step explanation:
hope this helped :-)
Answer:
it is -
Step-by-step explanation: