1. The triangle ABC and its image are shown below. a. Sketch a possible line that triangle ABC could translate along to create its image. b. Using complete sentences, explain how you know this could be a possible line the figure was translated along.
Answers
Given that:
The triangle ABC and its image are shown below.
Step-by-step explanation:
In the below figure triangle A'B'C' is the image of triangle ABC.
We need to sketch a possible line that triangle ABC could translate along to create its image.
So, connect the corresponding vertices. So, the required lines are AA', BB' and CC '.
In translation, each point of the figure is shifted from point to another point in a particular distance and direction.
Point A, B and C are shifted to A' B' and C' respectively. So AA', BB' and CC' represents the distance and direction of translation.
From the figure it is clear that triangle ABC shifted 10 units right and 6 units down.
Related Questions
Which pair of transformations could map AABC to AA'B'C', such that the triangles are similar but
not congruent?
1.a rotation and a reflection
2.a rotation and a translation
3.a dilation and a rotation
4.a translation and a reflection
Answers
Answer:
a dilation and a rotation
Step-by-step explanation:i got it on my iready
pair of transformations could map AABC to AA'B'C', such that the triangles are similar but not congruent is dilation and a rotation
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
According to the information
The congruency can't be obtain after dilation.
Also, to make transformation rotation should be done.
Hence, the transformation occur due to dilation and a rotation,
Learn more about dilation here:
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how do you solve -9( -4r + 6s ) + 3s - 7(6s - 2r)
Answers
Answer: 2.1 Pull out like factors :
6s - 2r = -2 • (r - 3s)
Equation at the end of step
((0-(9•(6s-4r)))+3s)--14•(r-3s)
Pulling out like terms
4.1 Pull out like factors : 6s - 4r = -2 • (2r - 3s)
Equation at the end of step
((0--18•(2r-3s))+3s)--14•(r-3s)
Final result :
50r - 93s
Find the distance between (-2, 1), (-5,5)
Answers
Answer:
(-2, 1). (5,5) is 11.55
∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24. What is the value of x?
Answers
Answer:
x = 2Step-by-step explanation:
Vertical angles are equal as per definition.
∠E and ∠F are vertical anglesm∠E = 9x+12 and m∠F = 3x+24x = ?Solution
9x+12 = 3x+249x - 3x = 24 - 126x = 12x = 2f(x)=8^x+7 what is f(3)
Answers
Answer:
Step-by-step explanation:
f(3) = 8^3 + 7 = 512 + 7 = 519
Factor p2 + 18p + 32.
Answers
Answer:
the answer is ( p+2 ) (p+16)
4. Marcella has 4 fewer male cousins than female cousins. Let f represent the number of female cousins. Write an expression for the number of boy cousins.
Answers
The expression for the number of boy cousins will be f – 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Marcella has 4 fewer male cousins than female cousins.
Let f represent the number of female cousins.
Then the expression for the number of boy cousins will be
⇒ f – 4
More about the Algebra link is given below.
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You rode your bicycle for 20 minutes and burned 180 calories. How many calories did you burn per minute?
Answers
180 calories / 20 mins = 9 calories / minute
Answer:
9 calories every minute
Step-by-step explanation:
180/20=9
Solve by elimination.
5x - 6y = 27
7x + 6y = 9
Show work pls
Answers
Answer:
x = 3y = - 2Step-by-step explanation:
5x - 6y = 27 .......... Equation 1
7x + 6y = 9 ………… Equation 2
To solve using elimination add the second equation to the first one to eliminate y
That's
5x - 6y + 7x + 6y = 27 + 9
12x + 6y - 6y = 36
12x = 36
Divide both sides by 12
x = 3
Substitute it into any of the equations
Using equation 2
That's
7(3) + 6y = 9
21 + 6y = 9
6y = - 12
Divide both sides by 6
y = - 2
The solutions are
x = 3
y = - 2
Hope this helps you
HELP ME ASAP DUE IN 10 MIN
Answers
Answer:
oh god i rushed so much.. i hope you understand..the written answers..if confused..please inform..
Is 0.72 repeating irrational or rational?
Answers
0.72 repeating as a fraction in simplest form is 9/11
rational
Step-by-step explanation:
p.72 repetition g is rational
The length of a rectangle is six times its width. If the perimeter of the rectangle is 140 yd, find its length and width.
Answers
Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 60 \: yd}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10 \: yd}}[/tex]
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle ( l ) = 6w
Perimeter of a rectangle ( P ) = 140 yd
Finding the width of a rectangle
[tex] \boxed{ \sf{perimeter \: of \: rectangle= 2(length + breadth)}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 2(6w + w)}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 2 \times 7w}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 14w}}[/tex]
[tex] \dashrightarrow{ \sf{14w = 140}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{14w}{14} = \frac{140}{14}}} [/tex]
[tex] \dashrightarrow{ \sf{w = 10}}[/tex]
Width of a rectangle = 10 yd
Now, replacing / substituting the value of w in 6w in order to find the length of a rectangle
[tex] \dashrightarrow{ \sf{length = 6 \times x = 6 \times 10 = 60 \: yd}}[/tex]
Length of a rectangle = 60 yd
Hope I helped!
Best regards! :D
Determine the truth value of the given conditional statement.
Given: If 3 is an even number, then 5 + 3 = 8.
O A true statement implies a true statement, so the conditional statement is true.
VX
O A true statement implies a false statement, so the conditional statement is true.
O A false statement implies a true statement, so the conditional statement is true.
O A false statement implies a true statement, so the conditional statement is false.
Intro
Done
Answers
Answer: 3 is not an even number and yes 5 +3 =8 so ur answer is A false statement implies a true statement, so the conditional statement is true.
Step-by-step explanation:
Antonio has 150 baseball cards. He decided to give you 32% of his cards to you. How many cards did he give you?
Answers
Answer:
He gave you 48 cards.
Step-by-step explanation:
150 * 32% (which is also 0.32) is equal to 48.
Divide the percentage by 100.
32 / 100 = 0.32.
You then multiply 0.32 by 150 to get the part.
0.32 x 150 = 48.
32% of 150 is 48.
Your answer is 48 cards.
Does anyone know this?
Answers
Answer:
-124
Step-by-step explanation:
The equation for a discriminant is:
[tex]b^{2} -4ac[/tex]
So for
[tex]7x^{2} -4x +5=0[/tex]
a = 7 b = - 4 c = 5
Plug values into the equation.
[tex](-4)^{2} -4(7)(5)[/tex]
16 - 140 = -124
Answer:-124
Step-by-step explanation:
b^2 - 4ac
a = 7 b = -4 c = 5
-4^2 - 4*7*5
16 - 4*35
16 - 140
-124
1 Round 236 to the nearest ten. Which tens is 236 between? 236 is between and 236 is closer to than
Answers
Answer:
236 to the nearest ten is 240. 236 is between 230 and 240. 236 is closer to 240 than 230.
Step-by-step explanation:
The Lee family pays an instructor $50 for Joylin’s 40-minute drum lesson. How much does the instructor charge per minute for the lessons?
Answers
$1.25 per minute
reason:
to find the cost per minute, you divide the money by the number of minutes
for this problem, divide 50 by 40 to get 1.25
Answer:
The instructor charges 1.25 per minute
Step-by-step explanation:
Take the amount of money and divide by the number of minutes
$50 /40 minutes
5/4
1.25
The instructor charges 1.25 per minute
Four friends race their bikes down the street. Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds. Which order shows the friends' times from fastest to slowest?
Answers
Answer: Devon, Tasha, Liza, Effon
Step-by-step explanation:
From the question, we are informed that four friends race their bikes down the street and that Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds.
The order that shows the friends' times from fastest to slowest is:
• Devon
• Tasha
• Liza
• Effon
Devon used 6.0999 seconds which is the fastest time, after then Tasha comes next with 6.168 seconds, then Liza with 6.188 seconds and lastly Effon with 6.2 seconds
find the area of the shape.
Answers
Step by step: Here,
Formula to find area=l×b
=(2x+3)×(x+4)
=6x × 4x
=24x
Or,
2x+3 × x+4
2xsquare+7
What two integers have the product of 28 and the sum of -11 ? a -2 and -14 b 4 and 7 c -4 and -7 d 2 and 14
Answers
Hey there! I'm happy to help!
Let's look at the factors of 28.
1,28
2,14
4,7
We see that 4 and 7 add to make 11, but not -11. Well, we can just make both of them negative and then it will be -11 and their product will still be 28. Our numbers are -4 and -7.
Have a wonderful day! :D
which formula defines the sequence f(1)=2, f(2)=6, f(3)= 10, f(4)= 14,f(5)=18
Answers
The formula that defines the sequence is Tn = 4n - 2
Given the following sequence 2, 6, 10, 14, 18
From the sequence:
First-term a = 2
Common difference d = 6 - 2 = 10 - 6 = 4
Since there is a common difference, the sequence is an arithmetic sequence.
The nth term of the arithmetic sequence is expressed as:
[tex]T_n=a+(n-1)d[/tex]
Substitute the given data into the formula:
[tex]T_n=a+(n-1)d\\T_n=2+(n-1)(4)\\T_n=2+(4n-4)\\T_n=2+4n-4\\T_n=4n-2\\[/tex]
This shows that the formula that defines the sequence is Tn = 4n - 2
Learn more here: https://brainly.com/question/17099690
I NEED HELP ASAPP!!!
Answers
Answer:
c
Step-by-step explanation:
[tex]x - 2y = -8 \\y = 5x-2[/tex]
[tex]x - 2 y = - 8[/tex]
add -x to both sides
[tex]x - 2y - x = -8 - x \\- 2y = -8 - x[/tex]
multiply both sides by -1/2
[tex]-2y * (\frac{-1}{2} ) = (-8-x) (\frac{-1}{2} )[/tex]
[tex]y = 4 + \frac{x}{2} \\y = \frac{x}{2} + 4[/tex]
the equations don't have the same slope so they aren't parallel
The solpes product doesn't equal -1 so they aren't perpendicular
Answer:
C. The two lines are neither parallel nor perpendicular
Step-by-step explanation:
Have a great day
If m /_ 4 = 35 find m /_ 2. Explain.
Answers
Answer:
A
Step-by-step explanation:
2 and 4 are on opposite sides of the transversal but both on the inside of the parallel lines. This makes them alternate interior angles, which are congruent.
1. Compare the statement using >, <, or =
-|-5| |-10|
Answers
Answer:
1st one, A
Step-by-step explanation:
The product of 8 and a number of x
Answers
Answer:
8(x+3)
Step-by-step explanation:
pls ansswer the below question
Answers
Answer:
7 and 3
Step-by-step explanation:
Numbers are x and y, where x > y
Half the difference = 2
(x - y)/2 = 2 ⇒ x - y = 4The sum of the greeter number and the twice the smaller number is 13
x + 2y = 13Considering x = y+4 in the second equation
y + 4 + 2y = 133y = 13 - 43y = 9y = 3Then
x = y + 4x = 3 + 4 = 7The numbers are 7 and 3
Answer:7 and 3
Step-by-step explanation:
X-y=2×2
X-y=4
2x+y=13
2x+y-x-y=9
2x-x+y-y=9
X=3
3-y=4
3+4=7
Y=7
X=3
6-2x = 5x - 9x + 14.
Answers
Answer:
X= 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
[tex]6-2x=5x-9x+14\\6-2x=-4x+14\\6=-2x+14\\-8=-2x\\4=x[/tex]
1. 2 3/5 - 1 1/4= A.) 1 7/20 B.) 1 2/9 C.) 1 5/20 D.) 1 1/10 3.) 5-3 1/3= A.) 2 B.)2 2/6 C.) 1 2/3 D.) 2 2/3
Answers
Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)
Answers
Answer:
14 books
Step-by-step explanation:
Let b = number of books at the beginning
She sold 1/2 of the books
b - 1/2 b
This is how many she had left
Then she bought 7
b - 1/2 b + 7
this equals 14
b - 1/2 b + 7 = 14
Combine like terms
1/2 b + 7 = 14
Subtract 7 from each side
1/2 b = 14-7
1/2 b = 7
Multiply each side by 2
1/2 b * 2 = 7*2
b = 14
She started with 14 books
3/5 es mayor que 9/10?
Answers
Answer:
Si es mayor
Step-by-step explanation:
