Step-by-step explanation:
when we give a function an actual value as argument, we are using the variable(s) in the functional definition as intended : as placeholders for actual values.
so, we only need to replace any occurrence of the variable by the actual value and calculate.
a.
zero items are produced means x = 0.
C(0) = 10×0 + 900 = $900
fixed cost = $900
b.
making 25 items means x = 25.
C(25) = 10×25 + 900 = 250 + 900 = $1,150
c.
the domain is the interval or set of all valid values for x.
the range is the interval or set of all valid values for y (the functional result).
now, the maximum cost allowed is $1900.
how many items are that ?
1900 = 10x + 900
1000 = 10x
x = 100
so, the domain is
0 <= x <= 100
the range is
$900 <= y <= $1900
Given f(x) = 2x^2 - 4x - 4, find the equation of the tangent line of f at the point
where x = -3.
The equation of the tangent line of f at the point x = -3 will be y = -16x-48.
According to the question,
We have the following information:
f(x) = [tex]2x^{2} -4x-4[/tex]
Now, we will first find the derivation of this function with respect to x:
Let's take its derivation to be f'(x).
f'(x) = 4x-4
Now, finding the slope of the equation when x = -3:
f'(-3) = 4*(-3)-4
f'(-3) = -12-4
f(-3) = -16
Now, we know that following formula is used to find the equation of a line:
(y-y') = m(x-x')
y-0 = -16{x-(-3)}
y = -16(x+3)
y = -16x-48
Hence, the equation of the tangent line of f at the point x = -3 will be y = -16x-48.
To know more about equation of the tangent line here
https://brainly.com/question/26704591
#SPJ1
NO LINKS!! Please help me with this problem. Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector l of segment AB.
The point P is on the perpendicular line to AB that passes through its midpoint.
We know perpendicular lines have opposite-reciprocal slopes.
So the line we are looking for has a slope of 7/5.
Use the point-slope equation to find the line:
y - y₁ = m(x - x₁)y - (-1) = 7/5(x - 2)y + 1 = 7/5(x - 2) Point- slope formy = 7/5x - 19/5 Slope- intercept form5y = 7x - 197x - 5y = 19 Standard formChoose any form above of the same line.
Answer:
[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{7}{5}x-\dfrac{19}{5}[/tex]
[tex]\textsf{Standard form}: \quad 7x-5y=19[/tex]
Step-by-step explanation:
A perpendicular bisector is a line that intersects another line segment at 90°, dividing it into two equal parts.
To find the perpendicular bisector of segment AB, find the slope of AB and the midpoint of AB.
Define the points:
Let (x₁, y₁) = A(-5, 4)Let (x₂, y₂) = B(9, -6)Slope of AB
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-6-4}{9-(-5)}=\dfrac{-10}{14}=-\dfrac{5}{7}[/tex]
Midpoint of AB
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)=\left(\dfrac{9+(-5)}{2},\dfrac{-6+4}{2}\right)=(2,-1)[/tex]
If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, the slope of the line that is perpendicular to line segment AB is ⁷/₅.
Substitute the found perpendicular slope and the midpoint of AB into the point-slope formula to create an equation for the line that is the perpendicular bisector of line segment AB:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-1)=\dfrac{7}{5}(x-2)[/tex]
[tex]\implies y+1=\dfrac{7}{5}x-\dfrac{14}{5}[/tex]
[tex]\implies y=\dfrac{7}{5}x-\dfrac{14}{5}-1[/tex]
[tex]\implies y=\dfrac{7}{5}x-\dfrac{19}{5}[/tex]
Therefore, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector of segment AB is:
[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{7}{5}x-\dfrac{19}{5}[/tex]
[tex]\textsf{Standard form}: \quad 7x-5y=19[/tex]
If LK = MK, LK = 7x-10, KN = x + 3, MN = 9x-11, and KJ = 28, find LJ
LJ = 46 is the value when LK congruent MK .
What do you mean by congruent?
It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to having precisely the same shape and size.By given figure ,
MK = MN - KN
= 9x - 11 - ( x + 3 )
= 8x - 14
now given LK ≅ MK
LK = MK
8x - 14 = 7x - 10
8x - 7x = 14 - 10
x = 4
length of LJ = LK + KJ
= 7x - 10 + 28
= 7(4) + 18
= 28 + 18 ⇒ 46
Learn more about congruent
brainly.com/question/12413243
#SPJ1
x³ ÷ 3 = y; use x = 3, and y = 1
Step-by-step explanation:
If x = 3 :
x³ ÷ 3 = y
3³ ÷ 3 = y
27 ÷ 3 = y
y = 27 ÷ 3 = 9
What are the coordinates of point (1, 5) after dilating by 1/3 about (4,2)?
(2, 1)
(-1,-5)
(3, 2)
(3, 3)
The coordinates of point (1,5) after dilation is (3,3). Therefore, 4th option is correct.
It is given to us that -
The coordinates of the original point is (1,5)
=> [tex](x_{o},y_{o} )=(1,5)[/tex] ---- (1)
The dilating factor is 1/3
=> [tex]s=\frac{1}{3}[/tex] (say) ---- (2)
And, the center of dilation is at the point (4,2)
=> [tex](x_{cod},y_{cod})=(4,2)[/tex] ---- (3)
We have to find out the coordinates of point (1,5) after dilation.
Using the formula for dilation coordinates from original to image, we have
[tex][(x_{cod}+s(x_{o}-x_{cod}),y_{cod}+s(y_{o}-y_{cod})]\\=[4+\frac{1}{3}(1-4),2+\frac{1}{3}(5-2)]\\=[(4-1),(2+1)]\\=(3,3)[/tex]
Thus, the coordinates of point (1,5) after dilation is (3,3). Therefore, 4th option is correct.
To learn more about dilation visit
https://brainly.com/question/13176891
#SPJ1
Illustrative Mathematics
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using for distance in kilometers and for number of hours, an equation that represents this situation is .
What are two constants of proportionality for the relationship between distance in kilometers and number of hours? What is the relationship between these two values?
Write another equation that relates and in this context.
1. Two constants of proportionality representing the proportional relationship between distance in kilometers and number of hours are 400 km and 8 hours.
2. The relationship (ratio) between the two values is 50 km per hour or the equation, d = 50t.
3. Another equation that relates distance and time in this context is t = d/50 or 400/50.
What is the constant of proportionality?The constant of proportionality is the ratio relating two given values in a proportional relationship.
Other names for the constant of proportionality include:
Constant rateUnit rateConstant ratioRate of changeConstant of variation.Distance, d = 400 km
Constant speed, t = 8 hours
d = 400/8
d = 50t
Constant of proportionality = 50.
t = d/s
Where d, distance = 400 km and s, speed = 50 km/h
= 400/50
= 8 hours
Learn more about the constant of proportionality at https://brainly.com/question/10159347
#SPJ1
When Jeremiah’s granddaughter was born, he started saving quarters and half dollars for her. After 2 years he had saved a total of $70.75 for her. If the number of quarters was 2 less than three times the number of half dollars, how many quarters and how many half dollars did he save?
Answer:
57 half dollars and 169 quarters
Step-by-step explanation:
We will need a system of equations to solve this problem.
Given that the number of quarters is 2 less than three times the number of half dollars, we have Q = 3H - 2
Thus, we have 0.25Q + 0.50H = 70.75 and Q = 3H - 2.
The second equation allows us to use substitution:
[tex]0.25(3H-2)+0.50H=70.75\\0.75H-0.50+0.50H=70.75\\1.25H=71.25\\H=57[/tex]
We can plus this 57 into the second equation to find the number of quarters:
[tex]Q = 3(57)-2\\Q=169[/tex]
Find the next term with work
30, 27, 21, 9, __
We get the next term as -15 when the series are 30,27,21,9,_.
Given that,
The terms are 30,27,21,9,_
We have to find the next term.
An arithmetic sequence is a group of words where the common difference between any two subsequent words remains constant. Reviewing what a sequence is will help. A sequence is a group of integers that exhibit a pattern.
Take the terms,
30,27,21,9,_
Take the 1st 2 terms
30-27=3
Next,
27-21=6
Next,
21-9=12
Here, We have 3,6,12
That mean 3+3=6 and 6+6=12
Next is 12+12=24
So,
9-24=-15
Therefore, We get the next term as -15 when the series are 30,27,21,9,_.
To learn more series visit: https://brainly.com/question/11346378
#SPJ1
Find the amount due if $700 is borrowed for 14 months at 18% simple interest.
Answer:
I = $ 1,937.50
Step-by-step explanation:
i=prt
18/100=0.18
I=700(0.18)(14)
1,937.50
Olivia is a stockbroker. She makes 4% other sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average that same commission each week, how much would she make in commissions in a year, treating a year as having exactly 52 weeks?
Olivia made $288 last week from her 4 percent commission and an average of $14,976 in 52 weeks
PercentageThe term "percentage" was adapted from the Latin word "per centum", which means "by the hundred". Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.
In this question, she makes a commission of 4% on her weekly sales.
A) How much did she makes last week?
To find how much she made, we simply have to find 4% of 7200
0.04 * 7200 = 288
She made $288 last week.
B) If she made $288 each week, and we have 52 weeks in a year, we can multiply them and find how much she made in a year.
$288 * 52 = $14,976
Learn more on percentage here;
https://brainly.com/question/843074
#SPJ1
Using the following uniform density curve what is the probability that the random variable has a value less than 2.7?
The probability that the random variable has a value less than 2.7 is 0.337
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
in the given question we have;
a random variable has a value of less than 2.7.
So,
Probability of (less than 2.7)
= area of rectangle starting from 0 to 2.7
= (2.7 - 0) × 0.125
= 0.3375
Hence,
The probability that the random variable has a value less than 2.7 is 0.337
To learn more about Probability, visit:
brainly.com/question/24188569
#SPJ1
An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
What is the tangential speed of the ball? Answer in units of m/s.
part 2
What is its centripetal acceleration? Answer in units of m/s2.
part 3
If the maximum tension the rope can with- stand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Answer in units of m/s.
this is physics
The maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s
What is centripetal force? For which motion does the centripetal force exists? Given a example?
The centripetal force is the force needed to keep a body moving in circular motion. It exists for circular motion. Example - rotation of earth around sun.
We have an athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
[A] -
Tangential speed of ball = v = rω = 0.9 x 0.27 = 0.243 m/s
[B] -
Centripetal acceleration = a[c] = rω² = 0.9 x 0.27 x 0.27 = 0.06561
[C] -
Maximum tension = Maximum centripetal force = mrω² = 132.3
ω² = 132.3/mr
ω² = 18.60
v² = 18.60r²
v = 3.89 m/s
Therefore, the maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s
To solve more questions on circular motion, visit the link below-
brainly.com/question/10933224
#SPJ1
if the ( n+4)th terms of an A.P is 4n + 17 then find a. S10 b. An +1 c. Sn d. An
The measures of the arithmetic sequence are given as follows:
a. [tex]S_{10} = 350[/tex]
b. [tex]A_{n + 1} = 17 + 4n[/tex]
c. [tex]S_n = \frac{n(30 + 4n)}{2}[/tex]
d. [tex]A_n = 17 + 4(n - 1)[/tex]
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule shown below:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term of the sequence.
The sum of the first n terms is given by the rule shown below:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
The equation given for this problem is:
[tex]a_{n + 4} = 4n + 17[/tex]
Hence the sequence can be written as follows:
17, 21, 25, 29, 33.
Then the first term and the common ratio are given as follows:
[tex]a_1 = 17, d = 4[/tex]
Then the nth term is of:
[tex]A_n = 17 + 4(n - 1)[/tex]
The (n + 1)th term is of:
[tex]A_{n + 1} = 17 + 4(n + 1 - 1)[/tex]
[tex]A_{n + 1} = 17 + 4n[/tex]
The sum of the first n terms is of:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
[tex]S_n = \frac{n(17 + 17 + 4(n - 1))}{2}[/tex]
[tex]S_n = \frac{n(30 + 4n)}{2}[/tex]
The sum of the first ten terms is of:
[tex]S_{10} = \frac{10(30 + 4(10))}{2} = 350[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
#SPJ1
point r is located at (-5,-2), Point T is located at (2,5) the ratio of RS/ST is 2/5 Plot point S on RT to make the ratio true
The point S of line segment RT such that RS / ST = 2 / 5 is equal to (- 3, 0).
How to determine the coordinates of the point within a line point
Herein we find a line segment whose endpoints are known (R(x, y) = (- 5, - 2), T(x, y) = (2, 5)) and in which we must determine the coordinates of a point S within line segment RT such that the partition ratio is observed:
RS / ST = 2 / 5
[tex]\overrightarrow{RS} = \frac{2}{5} \cdot \overrightarrow {ST}[/tex]
S(x, y) - R(x, y) = (2 / 5) · [T(x, y) - S(x, y)]
(7 / 5) · S(x, y) = (2 / 5) · T(x, y) + R(x, y)
S(x, y) = (2 / 7) · T(x, y) + (5 / 7) · R(x, y)
Now we determine the location of point S:
S(x, y) = (2 / 7) · (2, 5) + (5 / 7) · (- 5, - 2)
S(x, y) = (4 / 7, 10 / 7) + (- 25 / 7, - 10 / 7)
S(x, y) = (- 21 / 7, 0)
S(x, y) = (- 3, 0)
The location of point S is (- 3, 0). A representation of the geometric system is shown in the image attached below.
To learn more on partitioning line segments: https://brainly.com/question/20411716
#SPJ1
Solve for t.
13 + t = 51
A. t = 37
B. t = 38
C. t = 42
D. t = 64
Answer: the answer is 38
Step-by-step explanation:
all you have to do is subtract 51-13 and the answer of that is the asnswer. :)
Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24
months at a simple interest rate of 5.4%. What is the loans future value?
The loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.
According to the question,
We have the following information:
Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24 months at a simple interest rate of 5.4%.
We know that the following formula is used to find the simple interest:
Principal*rate*time/100
Principal = $6250
Rate = 5.4%
Time = 2 years
Simple interest = (6250*5.4*2)/100
Simple interest = 67500/100
Simple interest = $675
Now, the total amount of loan will be:
Interest + principal
675+6250
$6925
Hence, the loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.
To know more about simple interest rate here
https://brainly.com/question/7279636
#SPJ1
Is V={4,2,111,6} a subset of Y={44,7,90,4,2,1,111,6}?
Set V is a subset of set Y
What is a subset?A set V is a subset of another set Y if all elements of the set V are elements of the set Y. In other words, the set V is contained inside the set Y. The subset relationship is denoted as V⊂Y.
Set V contain the following numbers {4,2,111,6}
It discovered that all the numbers in set V are there in set Y
set Y contains {44,7,90,42,1,111,6}
Therefore since the element of set V are in set Y , then set V is a subset of of set Y.
learn more about set from
https://brainly.com/question/5660357
#SPJ1
Which figure is shaded to represent an equivalent fraction?
Answer: the one on the top left corner
Answer: the third one (bottom left) but also the second one (top right)
Step-by-step explanation: 2. there are 8 total parts to the figure and four of those parts are shaded. 4/8
3. There are four total parts to the figure but only 2 are shaded. 2/4
2/4 and 4/8 are both EQUIVALENT to 1/2. Therefore, that is the correct answer.
Translate the phrase into a math expression. Twelve more than the quotient of six divided by three. Responses (6÷3)+12 eft parenthesis 6 divided by 3 right parenthesis plus 12 6÷(3+12) 6 divided by left parenthesis 3 plus 12 right parenthesis (3÷6)+12 left parenthesis 3 divided by 6 right parenthesis plus 12 3÷(6+12) 3 divided by left parenthesis 6 plus 12 right parenthesis
The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .
In the question ,
an mathematical phrase is given , that is "Twelve more than the quotient of six divided by three" .
we have to translate it into mathematical expression ,
So , the term quotient of six divided by three is written as 6 ÷ 3 .
and phrase " more " is represented by " + " ,
Hence the given phrase, "Twelve more than the quotient of six divided by three" is (6 ÷ 3) [tex]+[/tex] 12 .
Therefore , The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .
The given question is incomplete , the complete question is
Translate the phrase into a math expression , "Twelve more than the quotient of six divided by three" .
(a) (6÷3)+12
(b) 6÷(3+12)
(c) (3÷6)+12
(d) 3÷(6+12)
Learn more about Expressions here
https://brainly.com/question/7360128
#SPJ1
Sample space(3,4,5,6,7,8,9,10,11,12,13,14) event F(6,7,8,9,10) event G(10,11,12,13) outcomes are equally likely find P(ForG)
The probability of the sets P(F or G) is; P(F or G) = 0.67
How to Interpret Union of sets?We are given the following;
Sample Space; S = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
Set F = {6, 7, 8, 9, 10}
Set G = {10, 11, 12, 13}
Now, F or G, simple means; F ∪ G
Thus;
F or G = {6, 7, 8, 9, 10, 11, 12, 13}
Number of terms is (F or G) = 8
Number of terms is Sample space = 12
Thus;
P(F or G) = 8/12 = 2/3 = 0.67
Read more about Union of sets at; https://brainly.com/question/20561161
#SPJ1
Which shows the numbers -3,2, and -1 placed correctly?
Answer: The second one is correct.
The population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted.
Identify and interpret the key features of the exponential function modeled in terms of this situation.
Select each correct answer.
The y-intercept represents the number of mammals when they were originally counted.
The line y = 0 is an asymptote of the graph.
The y-intercept.is 75.
The y-intercept is 120.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
The line x = 0 is an asymptote of the graph.
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The line y = 0 is an asymptote of the graph.
The y-intercept is 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Find a polynomial function that has the given zeros. (There are many correct answers.)
0, -3, -4
f(x) =
Answer:
below
Step-by-step explanation:
f(x) = x(x+3)(x+4) would be one
= x^3 + 7x^2 + 12x
Two integers , c and d , have a product of -6. What is the greatest possible sum of c and d?
Find the fourth proportional of 5, 2, and 10.
Any of the four terms of a discrete geometric proportion is called a proportional fourth.
[tex]\bold{5, 2 \: and \: 10.5}[/tex]
A geometric proportion is formed as follows:
[tex]\bold{5 : 2 :: 10 : x}[/tex]
Since the unknown term is an extreme and as we have seen before, one extreme is equal to the means divided by the other extreme, we will have:
[tex]\boxed{\bold{ \: x = \frac{2 \:∗ \: 10}{5} = 4} }[/tex]
Therefore, the geometric proportion is:
[tex]\bold{5 : 2 :: \: :: 10 :4}[/tex]
2. Write the correct equation that you would use to solve for side x.
Z
X
520
y = 13cm
Z
Y
The correct equation that could be used to solve for side x is x = sin52° × (Hypotenuse)
Trigonometry: Determining the correct equation to solve for side xFrom the question, we are to determine the correct equation that could be used to solve for side x
From the given diagram, we observe that
Side x is the Opposite
Side z is the Adjacent
Side y is the Hypotenuse
Using SOH CAH TOA, we can write that
sin (angle) = Opposite / Hypotenuse
From the diagram,
Given angle = 52°
Hypotenuse = y = 13
Thus,
sin 52° = x/13
x = sin 52° × 13
OR
x = sin52° × (Hypotenuse)
Hence, the equation is x = sin52° × (Hypotenuse)
Learn more on Trigonometry here: https://brainly.com/question/27220508
#SPJ1
the difference of x and 5 is at least -25
Answer: x - 5 is less than or equal to -25
Step-by-step explanation:
Jack is 2 years older than Bob. What was the difference between their ages one year ago?
Need Help ASAP!
The difference between their ages one year ago was 2 years.
What is difference?Difference in maths, the result of one of the important mathematical operations, which is obtained by subtracting two numbers.
Given that, Jack is 2 years older than Bob,
Let Bob's age be x then, Jack's age will be (x+2)
Their ages before 1 year was =
Bob's = x-1
Jack's = (x+1)
Difference = x + 1 - x + 1 = 2
Hence, The difference between their ages one year ago was 2 years.
For more references on differences, click;
https://brainly.com/question/2432925
#SPJ1
Select the three equations that pass through the points (–4, –16) and (5, 2): y + 4 = 2(x – 16) y – 2 = 2(x – 5) y = 2x – 8 y + 16 = 2(x + 4)
The equations that passes through the points (-4, -16) and (5, 2) are: y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).
How to Find the Equations that Passes Through a Point?To determine if an equation passes through a given point, plug in the values of the x and y coordinates of the point into the equation to see if it would make the equation true. If it is true, then the equation passes through the points.
Alternatively, graph the equation on a coordinate plane to see if it passes through the given point.
The graph shows the equations given.
The red line represents y + 4 = 2(x – 16).
The blue line represents y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).
Therefore, y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4) passes through the points (–4, –16) and (5, 2).
Learn more about equation of a line on:
https://brainly.com/question/13763238
#SPJ1
Which pairs of polygons are similar?
Select each correct answer.
The pair of polygons that are similar to each other are all the pairs of polygons except the pair of rectangles.
What are Similar Polygons?Similar polygons are polygons that have corresponding side lengths that are proportional to each other, thus, they have the same shape by different sizes.
To determine if he given pairs of polygons are similar, check if their corresponding side lengths have the same ratio, that is, if they are proportional to each other.
For the trapezoids:
27/15 = 18/10 = 7.2/4 = 10.8/6 = 1.8
This means the trapezoids are similar.
For the rectangles:
18/10 ≠ 14/7
This means the rectangles are not similar.
For the right triangles:
32/24 = 24/18 = 40/30 = 1.33
This means the right triangles are similar polygons.
So also is the last pair of polygons similar to each other. Therefore, the only polygon that is not similar is the pair of rectangles.
Learn more about similar polygons on:
https://brainly.com/question/2264759
#SPJ1