The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
The coordinates of the triangles are given as:
Triangle ABC
[tex]A =(-2, -1)\\[/tex]
[tex]B =(0, 0)[/tex]
[tex]C =(1, -3)[/tex]
Triangle A'B'C'
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Start by dilating triangle ABC by a scale factor of 2.
The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]
So, we have:
[tex]A' =(-4,-2)[/tex]
[tex]B' =(0,0)[/tex]
[tex]C' = (2,-6)[/tex]
Next, we reflect the triangle across the x-axis.
The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
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2.5kg of potatoes cost 1.40
work out the cost of 4.25kg
Answer:
$2.38
Step-by-step explanation:
Proportions:
2.5 kg ⇔ $1.40
4.25 kg ⇔ $P
P = 4.25kg * $1.40 / 2.5kg
P = $2.38
will mark brainleist
Answer:
atoc40 /atob40/ctob20
i hope i help
Answer:
67
Step-by-step explanation:
angle c = angle b = 5x + 4
angle a = 46
A + B + C = 180
46 + 10x + 8 = 180
10x = 180 - 54
10x = 126
x = 12.6
5x + 4 = 12.6 x 5 + 4
= 67
What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)
please answer asap
Which angle is the largest?
Answer:
the 4th choice
Step-by-step explanation:
hope this helps
MAy I get braineist pls????????
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6
Help me solve this please!
Answer:
x=15
Step-by-step explanation:
if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides
Please solve this question
Answer:
46?
Step-by-step explanation:
23*2=46
Answer:
37.31 cm
Step-by-step explanation:
∡ AB = 180 - 148 = 32° = ∡ DE
∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°
∡ CE = 61 + 32 = 93°
arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm
please help me asap!!!
ty :)
Answer:
the desired line is y = 3x - 4
Step-by-step explanation:
The slope formula is not needed here. If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.
Find the y-intercept as follows:
y = mx + b => 5 = 3(3) + b, or b = -4
Then the desired line is y = 3x - 4
Square ABCD is drawn on the coordinate plane (not shown) with vertex A(-4,-2) and the midpoint of side AB at (-1.-6). What is the area of the square?
Answer:
ab hehehe hende ko Alam hahahah
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex]
What is the area of square?
The area of a square is equal to
(side) × (side) square units.
Here given that,
Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]
Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]
So,
[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex].
To know more about the area of square
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Maya has to type a document of 2160 words. The graph below shows her initial progress. If
she continues at the same speed, how much time will Maya take to type the document?
The time it takes to type the document increases proportionately to the
number of words in the document.
The time it would take to type the document is; 36 minutesReasons:
From the possible figure from a similar question, we have;
The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)
The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;
The slope of the graph = 60
The y-intercept = 0
The equation that represents the proportional relationship shown on the graph is therefore;
y = 60·x
Where;
y = The number of words
x = The time it takes to type the document
The time it would take Maya to type the document of 2,160 words is given as follows;
2,160 = 60·x
Therefore;
[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]
The time it would take Maya to type the document is x = 36 minutes
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helloo!!! please help me on this !!!!
It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°
[tex]\mathfrak{10x - 18 = 8x} [/tex]
[tex]\mathfrak{10x - 8x = 18} [/tex]
[tex]\mathfrak{2x = 18} [/tex]
[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]
[tex]\underline{\mathfrak{x = 9}} [/tex]
Measure of ∠R :
[tex]\mathfrak{8x} [/tex]
[tex]\mathfrak{8(9)} [/tex]
[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]
ღ ꪑ꠸᥅ꫀꪊ
123.90706 written to 3 decimal places is
Answer:
123.907
Step-by-step explanation:
Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat
What’s the figure name
Answer:
Line GH or Line HG
Step-by-step explanation:
Hope it help !!
Answer:
line segmentStep-by-step explanation:
a point to a point which makes a straight line is called a line segment
Jane wrote all the natural numbers from 5 to k. including 5 and k
how many numbers did Jane write?
need help!!!
Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"
So Jane wrote k numbers.
lets take an example
if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.
Hence she write k numbers.
Jane wrote k - 4 natural numbers for the given condition.
What are natural numbers?Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Jane wrote all the natural numbers from 5 to k, including 5 and k.
So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.
To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.
1, 2, 3, 4, 5, ..., k-1
So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.
Therefore, she wrote k - 4 natural numbers.
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Which of the following proves these
triangles are congruent?
B
ASA
SAA
neither
Help plz
Answer: I’m pretty sure it’s SAA
Step-by-step explanation: if it were ASA the side would be in between the two congruent Angles but that’s not the case here. And it has enough information so it’s also not neither.
The statement that proves that the triangles are congruent is SAA
From the figure, we have the following highlights
A corresponding side (S) on both triangles is equalTwo corresponding angles (AA) beside one another are also equalThis means that, the congruent statement is SAA i.e. Side-Angle-Angle
Hence, the statement that proves that the triangles are congruent is SAA
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Which expression is equivalent to 5 EXPONENT 4 X5 EXPONENT NEGITIVE 4
Answer:
1Step-by-step explanation:
5⁴ * 5 ⁻⁴ = 5⁴⁻⁴ =5⁰ =1or
5⁴ * 5 ⁻⁴ = 5⁴ / 5⁴ =1Find the value of theta, to the nearest hundredth if cos they have is -0.7 and theta is in quadrant 2
Step-by-step explanation:
if I understand you correctly, then
cos(theta) = -0.7
then Theta = 134.427004...°
and that is rounded 134.43°
Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.
Which angle is congruent to angle DBA?
A. BCD
B. CBD
C. DBC
D. BDC
Taking point Z as the origin, the coordinates of the points on ΔBAD are
given by changing the sign of the coordinates of points in ΔDCB.
The angle that is congruent to ∠DBA is; D. ∠BDCReasons:
The given parameters are;
Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.
Required:
The angle congruent to ∠DBA.
Solution:
Given that the rotation of triangle DCB is 180°, we have that the
coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.
Therefore, side DC is parallel to side AB
Which gives;
∠DBA is congruent to ∠BDC by alternate interior angles theorem.
∠DBA ≅ ∠BDC
The angle that is congruent to ∠DBA is; option D. ∠BDC
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Which equation could define the function below?
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)
Answer:
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)
Step-by-step explanation:
a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each box is 6 ft.³ and the volume of each large box is 12 ft.³ a total of 27 boxes of paper were shipped with a combined volume of 250 to cubic fe. graphically solve a system of equations in order to determine the number of small boxes shipped X and the number of large boxes shipped Y
Answer:
the answer is 10 :)
Step-by-step explanation:
352 is 32% of what number?
Answer:
1100
Step-by-step explanation:
Can someone help me. I’ve tried doing this on paper. I don’t know what I’m doing wrong
[tex]{ \huge \mathfrak \color {pink}{ \tt{answer}}}[/tex]
[tex] \large \color{cyan}{ \tt{x = 12}}[/tex]
Step-by-step explanation:
[tex] \color {cyan}{ \tt{9 + \frac{x}{6 = 11}}} [/tex]
multiply both sides of the equation by 6[tex]{ \tt{54 + x = 66}}[/tex]
move the constant to the right hand side and change its sign[tex]{ \tt{x = 66 - 54}}[/tex]
substract the numbers[tex] \huge \color{magenta}{ \tt{ = \: \: x = 12}}[/tex]
[tex] \large \color{brown}{ \tt{hope \: \: it \: \: helps}}[/tex]
Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
36 ÷ ____ = 9 15 points
Answer:
36 ÷ __4__ = 9
Step-by-step explanation:
36/9 = 4, so
36 ÷ __4__ = 9
HELP ME PLEASE
(NO LINKS PLEASE FOR REAL NO LINKS PLEASE)
1. A student and a teacher work together to make toy cars. The student made 2/7 of the total toy cars, 21 less than the teacher. How many toy cars are there?
The total number of cars both the student and the teacher made is 49
let
total cars = x
cars made by student = s
cars made by teacher = t
Total = student + teacher
x = s + t
s = 2/7x
So,
x = 2/7x + t
x - 2/7x = t
t = (7x - 2x) / 7
t = 5/7x
Similarly,
s = t - 21
s = 5/7x - 21
equate both s equation
2/7x = 5/7x - 21
2/7x - 5/7x = -21
(2x - 5x) / 7 = -21
- 3/7x = -21
x = -21 ÷ -3/7
= -21 × - 7/3
= (-21 × -7) / 3
= 147/3
x = 49
Therefore, the total number of cars both the student and the teacher made is 49
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solve for A and line AB
Answer:
a = 22
AB = 50
Step-by-step explanation:
[tex]a-5=17[/tex]
[tex]a=17+5[/tex]
[tex]a=22[/tex]
Line AB=2a+6
[tex]2(22)+6=44+6=50[/tex]
[tex]AB=50[/tex]
Hope this helps
Use the factorial operation to evaluate 4!
4×3×2×1
4+3+2+1
4.321
4-3-2-1
Answer:
4x3x2x1=25
Step-by-step explanation:
hope this helps :)
Which of the ordered pairs are solution to 4+3x=-2y
Answer:
I Believe the answer is (3x,-6y)
Step-by-step explanation:
From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.
Answer:
I Believe the answer is (3x,-6y)
From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).