This diagram shows a pre-image △ABC, and its image, △A′′B′′C′′, after a series of transformations. Select from the drop-down menus to correctly complete the statements. △ABC is Choose... to become △A′B′C′. Then △A′B′C′ is Choose... to become △A′′B′′C′′ . Because the transformations are Choose... , the pre-image and image are Choose... . Triangles on a coordinate plane whose axes are labeled x and y. Triangle A B C has vertex A at 1 comma negative 1, vertex B at 4 comma negative 2, and vertex C at 7 comma 2. Triangle A prime B prime C prime has vertex A prime at negative 1 comma 1, vertex B prime at negative 4 comma 2, and vertex C prime at negative 7 comma negative 2. Triangle A double prime B double prime and C double prime has vertex A double prime at negative 1 comma negative 2, vertex B double prime at negative 4 comma negative 1, and vertex C double prime at negative 7 comma negative 5.
Answers
The answers that complete the statements of the series of transformations are;
- △ABC to △A′B′C′; because the △ABC has been rotated at angle of 180° about the origin.
- △A′B′C′ to △A′′B′′C′′; Because the △A′B′C′ has been shifted down by 3 units.
- All 3 transformations are rigid transformations
- All three transformations are congruent transformations.
The image showing triangles △ABC, △A′′B′′C′′, and △A′B′C′ is missing and so I have attached it.From the image attached, we see the following coordinates of the triangles;
Coordinates of △ABC; A(1, -1), B(4, -2), C(7, 2)
Coordinates of △A′B′C′; A'(-1, 1), B'(-4, 2), C'(-7, -2)
Coordinates of △A′′B′′C′′; A''(-1. -2), B''(-4, -1), C''(-7, -5)
Now, in transformation from △ABC to △A′B′C′, we see that the pattern of transformation is; (x, y) → (−x ,−y). This pattern where coordinates of x and y are transformed to the negative part of them denotes that there has been a rotation at angle of 180° about the origin.In transformation from △A′B′C′ to △A′′B′′C′′, we see that triangle shifted down because the y-coordinates have reduced by 3 units. Thus, we can say that the transformation was to shift △A′B′C′ down by 3 units.In each of the transformations, we can tell that regardless of the position of the triangle, the distances AB, BC and AC remain the same. Thus, the transformation is rigid. The transformations are also congruent because all their corresponding sides are equal.Read more at; https://brainly.com/question/11254677
Related Questions
6. Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
Answers
Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
Làm tính Nhân:
(x² - 2x + 1)(x- 1)=
Answers
Step-by-step explanation:
(x² - 2x + 1)(x- 1)=
(x+1)^2(x-1)
Step-by-step explanation:
(x² - 2x + 1)(x- 1) = x³ - 2x² + x - x² + 2x - 1
= x³ - 3² + 3x - 1
What is the probability that Zeke gets a sum of 7
Answers
Answer:
≈
17
%
Explanation:
A sum of 7 can be achieved the following ways.
5 and 2
2 and 5
4 and 3
3 and 4
6 and 1
1 and 6
There are
6/2
=
3/6
possible outcomes and 6 ways to obtain the sum of 7 so
6 3/6
≈
17
%
I will give brainiest who can help me get this right!!
Answers
Answer:
it's D
Step-by-step explanation:
The equation equals 2 1/8 so yeeyeyye
Answer:
Option D
Step-by-step explanation:
11/8=1.3750
3/4=0.75
Now,
Since, this is the sum both the lines must be in positive in direction.
Option D is the only one with such quality, so no further process is required.
Please help with this math problem ASAP! Will give brainliest!
Answers
Answer:
I only know what y is, y is 4a, wait I think a is z and z is a. I’m not sure
Step-by-step explanation:
Step-by-step explanation:
value of a :
4a + a = 180°
5a = 180°
a = 36°
value of y :
y = 4a
y = 4(36)
y = 144°
value of z :
z = a
z = 36°
At a movie theater, the ratio of filled seats to empty seats is 6 : 5. ere are 120 empty seats. How many seats are filled?
Answers
Answer:
filled seats is 144
Step-by-step explanation:
5fs=6es
es=120
5fs=6(120)
5fs=720
fs=144
brainlist answer please
What is scale factor of dilation that transform triangles PQR to triangle PQR explain your answer
Answers
Answer:
need coordinates of each or side lengths of each to solve
BRAINLIST!!!! SHOW YOUR WORK!!!!
In the above figure, m∠P = 130° and m∠Q = (5x)°. If angles P and Q are supplementary angles, what are the value of x and the measure of angle Q?
A.
x = 62, m∠Q = 50°
B.
x = 44, m∠Q = 220°
C.
x = 10, m∠Q = 50°
D.
x = 10, m∠Q = 15°
Answers
Answer:
C x = 10 Q = 50
Step-by-step explanation:
supplemantary means adds to 180 deg.
so 130 + 5x = 180
5x = 50 = ang. Q
x = 50/5 = 10 deg.
Without finding the product, what is the sign of this product?(-4)(-1)(-2)(-6)(-3)(-5)(-2)(-2)
Answers
Answer:
positive (+)
Step-by-step explanation:
- × - = +
+ × - = -
+ × + = +
Answer:
there are 8 numbers, all are negetive and they are multiplied with each-other
we know, (-negative)(-nagative) = positive number
so even quantity of negative numbers multiplied with each-other makes a positive number.
so the sign of the product is +
Step-by-step explanation:
What is the slope of the line that passes through the points (−10,0) and (-13, 3) ? Write your answer in simplest form.
Answers
Answer:
A slope of -1
Step-by-step explanation:
use the slope formula
the x-intercept was substituted incorrectly
write the correct equation
an equation of the parabola is y =__________
Answers
Answer:
Step-by-step explanation:
let the eq. of parabola be
y=ax²+bx+c
points (-1,0),(2,0),(3,4) and (0,-2) lie on it.
0=a-b+c
0=4a+2b+c
subtract
3a+3b=0
a=-b
4=9a+3b+c
-2=0+0+c
c=-2
a-b-2=0
-b-b-2=0
-2b-2=0
b+1=0
b=-1
a=-b=-(-1)=1
eq. of parabola is
y=x²-x-2
by+ax+c = 0 solve for x
Answers
Answer:
by + ax + c = 0
-c -c
by + ax = d
by/b d/b
ax/a = e/a
f = x
Step-by-step explanation:
There were no numbers so I substituted them for letters :)
The class pet eats 1/4 cup of food each day.The teacher needs to buy enough food for 3 weeks.How much rabbit food does she need to buy?
Answers
Answer: 5.25 (pounds?)
Step-by-step explanation: 7 * 3 = 21. Multiply 21 and 1/4.
select the two values of x that are roots of this equation. 2x^2+7x+6=0
Answers
Answer: x = -2 or x = -3/2 thus B. & D. are the answer
Step-by-step explanation:
The Candela brothers own two pizza restaurants, one on Park Street and one on Bridge Road.
The computer output below summarizes the distribution of weekly revenues at each
restaurantâ€"26 weeks for Park Street and 40 weeks for Bridge Avenue.
Answers
The mean, median and mode are measures of central tendency, that is they tend to indicate the location middle of the data
Required values;
(a) The performance for the week for Park Street
Revenue is Q₂ < $7,500 < Q₃The sales for the week is better than 72.91% of all salesThe performance for the week for Bridge Road
Revenue; Q₂ < $7,100 < Q₃The sale for the week is better than 59.87% of all sales(b) The mean is $3611
The median is $3,600
The standard deviation is $3250
The Interquartile range is $6075
Reason:
The table of values that maybe used to find a solution to the question is given as follows;
[tex]\begin{array}{|l|l|l|}\mathbf{Variable} &\mathbf{Park}&\mathbf{Bridge}\\N&36&40\\Mean&6611&5989\\SE \ Mean&597&299\\StDev&3580&1794\\Minimum&800&1800\\Q_1&3600&5225\\Median&6600&6000\\Q_3&9675&7625\\Maximum&14100&8600\end{array}\right][/tex]
(a) Park Street revenue = $7,500
Bridge Road's revenue = $7,100
The two stores sold close to but below the 75th percentile
Bridge Road revenue;
The z-score is given as follows;
[tex]Z = \dfrac{x - \mu }{\sigma }[/tex]
[tex]Z = \dfrac{7100 - 5,989 }{1794 } \approx 0.6193[/tex]From the Z-Table, we have;
The percentile= 0.7291
Therefore, the sale for the week for Park Street is better than 72.91% of all the salesPark Street revenue;
The z-score is given as follows;
[tex]Z = \dfrac{7500 - 6611}{3580} \approx 0.25[/tex]From the Z-Table, we have;
The percentile = 0.5987
Therefore, the sale for the week is better than 59.87 % of all the sales(b) Given that the operating cost is $3,000, frim which we have;
The subtracted value is subtracted from the mean and median to find the new value
Profit = The revenue - Cost
New mean = 6611 - 3000 = 3611
The new mean = $3,611The new median = 6600 - 3000 = 3600
The new median = $3,600The standard deviation and the interquartile range remain the same, therefore, we have;
The standard deviation = $3,580The interquartile range = 9675 - 3600 = 6075
The interquartile range = 6075Learn more here:
https://brainly.com/question/21133077
https://brainly.com/question/23305909
Please help
Given m∠LMN=145 what is ∠XMN?
Answers
Answer:
(4x+5)°+(6x-10)°=145°
4x+6x+5-10=145°
10x-5=145°
10x=145+5
10x=150°
x=15
(6x-10)°=(6×15-10)°
=80°
The value of ∠XMN = 80.
What is angle?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.
The value of total ∠LMN = 145.
∠LMN = ∠LMX +∠XMN
145 = (4x + 5) + (6x - 10)
145 = 4x + 5 + 6x - 10
145 = 10x -5
10x = 150
x = 15
Substitute the value of x in ∠XMN = (6x - 10)
∠XMN = 6×15 - 10
= 90 - 10
∠XMN = 80
Therefore, the value of the angle ∠XMN = 80.
To know more about the angle theorems, here
https://brainly.com/question/27962469
#SPJ2
simplfy the expression [tex]\sqrt110x^{17} y^{12}[/tex]
Answers
I'm going to assume the square root goes over everything.
To simplify this, you need to find perfect squares under the radical that are factors of the entire [tex]110x^{17}y^{12}[/tex].
[tex]\sqrt{110x^{17}y^{12}} = \sqrt{x^{16}y^{12}\cdot 110x^{1}}[/tex]
Now that stuff in the front will interact nicely with the square root, but the stuff in the back doesn't, so it just stays under the radical.
[tex]\sqrt{x^{16}y^{12}\cdot 110x^{1}} = \sqrt{x^{16}y^{12}}\cdot \sqrt{110x^{1}} =x^8y^6\cdot \sqrt{110x}[/tex]
And that end piece is the simplified answer.
Answer:
no
Step-by-step explanation:
sorry bru but i dont understand [tex]\sqrt110x^{17} y^{12}[/tex]
Use the equation below to find F, if =m5 and =a19.
=Fma
=F
Answers
F = (5)(19)
F = 95
i just need help with number 2, i don’t understand
Answers
Step-by-step explanation:
Assuming c = x, you would substitute 2{(5)^(5)} - 6,
5^5 = 25,
2(25) = 50,
50 - 6 = 44
Answer would be 44, but only if c = x
I need help with this question
Answers
Chose the correct solution set for each graph.
{x1x2-2)
o {xxs-2}
(-2,00)
(-5,00)
(-00,-5)
{xlx>-5}
{x}x<-5}
{x1–2
{x12
{<1-3
<
(-2,3)
(3,-2)
[-2,2]
(-60,-2)
{x1x2-5}
Answers
Answer:
1.B&E
2.A&C
3.A&D
Step-by-step explanation:
thank me if you get it correct have a nice day:)
Answer:
B & E.A & C.A & D.Step-by-step explanation:
the abc store sold 3 ukuleles for 30$. what is the unit price?
Answers
Answer:
$10 dollars per ukuleles
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
90 dollers and zero cents
A store sells CDs and books. Each CD costs 3 times as much as each book. Sherry bought 2 CDs at a total cost of $36. What the cost of each book
$6
$8
$12
$14
Answers
Answer:
$6
Step-by-step explanation:
first, divide 36 by 2 to find how much each CD cost
36/2=18
then divide 18 by 3 to find how much each book cost.
18/3=6
i need answer for this problem
Answers
Answer:
2. (x + 3, y - 7)
Step-by-step explanation:
what is the slope of the number set of 4,1 and 4,8?
Answers
Answer:
The entered points belong to a vertical line. There is no slope.
Step-by-step explanation:
Help me solve this ASAP please
Answers
Answer:
3
Step-by-step explanation:
Remember BEDMAS!!
Brackets first:
(15) / (1+(2)^2)
Exponents next:
(15) / (1+4)
15 / 5 = 3
Hope that helps, feel free to ask questions
The answer is 3 use BODMAS, BEDMAS or PEDMAS
2(x-y)(x+y)+(x+y)^2+(x-y)^2
Answers
Hope it helps
I BEG YOU I WILL GIVE BRAINIEST PLSSS
Marjorie wrote �� + �� using the GCF and the distributive property as �(� + ��) while Bobby wrote the expression as ��(� + �). Who correctly rewrote the expression using the GCF and why?
Answers
Answer:
its for the points U w UStep-by-step explanation:
he recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?
A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answers
Answer:
24 times 9.75 = $234
Step-by-step explanation:
Answer:
It would cost $39 to serve 24 people
Step-by-step explanation:
If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as
6 people - $9.75,
24 people - $x.
Or as proportion,
6/24=9.75/x
Find x:
6·× =9.75·24,
x=9.75·24/6=9.75·4=39
Answer: It would cost $39 to serve 24 people
Solvetheequation: (x-2)/(5x-3)=-1/4
please solve it fast its urgent
Answers
Answer:
x = 11/9
Step-by-step explanation:
