Harvy claims that he can map rectangle ABCD to rectangle EFGH. Select all the transformations or series of transformations that support his claim.
Answers
Answer:
Option (B) and (D)
Step-by-step explanation:
To understand the relation between rectangle ABCD and EFGH take a point A from rectangle ABCD which is at E of rectangle EFGH after the series of transformations.
Horizontal distance between A and E = 2 - (-10) = 12 units
Vertical distance between A and E = 4 - 2 = 2 units
If the point A is shifted 12 units right and 2 units up we will find the point E.
Therefore, A translation of 12 right and 2 units up has been done.
Rule for the translation,
(x, y) → (x + 12, y +2)
Moreover this,
If rectangle ABCD is reflected over x = -1 and translated 2 units up, rectangle ABCD will overlap the rectangle EFGH.
Therefore, Options (B) and (D) will be the answer.
Related Questions
True or false: geometry is an axiomatic system where the accepted principles are undefined terms 0 and 1.
A. The statement is false. Algebra is an axiomatic system where the accepted principles are undefined terms 0 and 1.
B. The statement is true.
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
D. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms circle, triangle, and square
Answers
Answer:
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
Step-by-step explanation:
The 4 basic characteristics of axiomatic systems are:
Undefined terms (or primitive terms) Axioms (or postulates) Theorems Laws of logicThe undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.
Fiona wants to estimate the product (8.7)(3.0). Which expression shows each factor rounded to the nearest whole number?
Answers
I hope I correctly answered your question and that this helps.
Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?
Answers
Ian left his house and drove to the store. He stopped and went inside. From there, he
drove in the same direction until he got to the bank. He stopped and went inside the
bank. Then he drove home. The graph below shows the number of blocks away from
home Ian is x minutes after he left his house, until he got back home.
Answers
Answer:
6 blocks
Step-by-step explanation:
PLEASE HELP ANYONE:))
Answers
Answer:
3 million dollars
Step-by-step explanation:
i just did this and got it right
jerry has $115 in his savings account and $65 dollars in his checking account If Jerry deposits $20 to his savings account each week and $45 to his checking
account each week, how many weeks will it be until the two accounts have the same amount of money?
Answers
Answer:
after 2 weeks
Step-by-step explanation:
y=20x (savings account)
y=65x (checking account)
20*2 is 40. 115+40 is 155
45*2 is 90. 65+90 is 155
five billion, seventy three thousand
Answers
Answer:
5,000,073,000
Step-by-step explanation:
A 42-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.
Answers
Answer:
4, 8, 30
Step-by-step explanation:
Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.
Equation:
x + 2x + 7x + 2 = 42
10x + 2 = 42
10x = 40
x = 4
The First piece is 4 inches
Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.
Hope this helps!!!
The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?
Answers
Answer:
The number of hours that the milk will stay fresh is 86.2 hours
Step-by-step explanation:
Given the following function;
[tex]H(T) = 180*10^{(-0.04T)}[/tex]
where;
T, is the temperature in degrees centigrade
H is the number of hours
At 8°C the number of hours that the milk will stay fresh is given by;
[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]
Therefore, the number of hours that the milk will stay fresh is 86.2 hours.
Mr. Heath owns a game store.
He offers workshops where students learn about different kinds of games and how to design their own games.
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Sia begins at 0. She draws a blue card on each of her first three turns.
Then Sia draws only red cards and ends up back at 0. How many red cards did Sia draw?
Answers
he drew 2 cards
Step-by-step explanation:
because 4x3 is 12 and to get back to zero u would have to draw 2 red cards which are 6 each. so 4x3=12 and then 6x2=12 12-12=0
what other properties do we use to rewrite expressions and equations
Answers
Answer:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Step-by-step explanation:
Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
What is Expression?An expression is combination of variables, numbers and operators.
The properties we use to rewrite expressions and equations are
The commutative
Associative, and
distributive properties
These properties help to rewrite a complicated algebraic expression into simpler form.
When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Hence, Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
To learn more on Expressions click:
https://brainly.com/question/14083225
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Solve for y.
24=8/3y
Simplify your answer as much as possible.
Answers
I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9
if the question is 24=8/3(y) then the answer is y=9
Answer:
24 = [tex]\frac{8}{3}[/tex] y
[tex]\frac{8}{3}[/tex] = 2.6 repeating
24 ÷ 2.6 repeating = 9
Step-by-step explanation:
Slope -2/3 , x-intercept at 3
Answers
Answer:
Y=(-3)x+6
Step-by-step explanation:
Which inequality matches the graph shown?
Answers
Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
On a school fieldtrip with 344 students, they filled 5 buses, but 34
students couldn't fit on the buses and had to get rides with their parents.
How many students fit on each bus? *
Answers
344-34=310
310/5=62
the water park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips
there. The senior class at High School A rented and filled 10 vans and 8 buses with 472 students. High School B rented and filled 9 vans and 8 buses
with 456 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Sort the steps in order to solve this system of equations.
Answers
Answer:
The sorted steps are;
1) Write the equations: 10·x + 8·y = 472 and 9·x + 8·y = 456
2) Multiply to get one variable to eliminate: -90·x - 72·y = -4248 and 90·x + 80·y = 4560
3) Eliminate x's: 8·y = 312
4) Solve for y: y = 39 (39 buses)
5)Plug back in to find x: 10·x + 8·(39) = 472
6) Solve for x: x = 16 (16 vans)
Step-by-step explanation:
Let x = The number of students in each van and y = The number of students in each bus
We have;
For High School A;
10·x + 8·y = 472...(1)
For High School B;
9·x + 8·y = 456...(2)
Multiply equation (1) by (-9) and equation (2) by 10 to get
(10·x + 8·y) × (-9) = 472 × (-9)
-90·x -72·y = -4,248...(3)
9·x + 8·y × (10)= 456 × (10)
90·x + 80·y = 4,560...(4)
Add equation (3) to (4) gives;
-90·x -72·y + 90·x + 80·y = -4,248 + 4,560
90·x - 90·x -72·y + 80·y = -4,248 + 4,560
8·y = 312
y = 312/8 = 39
y = 39
Substituting the value of y in equation (1), gives;
10·x + 8·y = 10·x + 8 × 39 = 472
10·x + 312 = 472
10·x = 472 - 312 = 160
10·x = 160
x = 160/10 = 16
x = 16
The number of students in each van = x = 16 students
The number of students in each bus = y = 39 students.
What is the midpoint between (3,-1) and (7,-5)
(2, -2)
(5,-2)
(10,-6)
(5,-3)
Answers
Answer:
(5, -3)
Step-by-step explanation:
2(b + 2) > 4(1 + 5b) -b
Answers
Answer:
b<0
Step-by-step explanation:
2(b+2)>4(1+5b)−b
Step 1: Simplify both sides of the inequality.
2b+4>19b+4
Step 2: Subtract 19b from both sides.
2b+4−19b>19b+4−19b
−17b+4>4
Step 3: Subtract 4 from both sides.
−17b+4−4>4−4
−17b>0
Step 4: Divide both sides by -17.
−17b
−17
>
0
−17
b<0
Answer:
b<0
Answer:
2(b + 2) > 4(1 + 5b) -b
2b + 4 > 4 + 20b -b
2b - 20b + b > 4 - 4
-17b > 0
b < 0/-17
b < 0
someone be quick PLEASEEEEEEEEEE
Solve LaTeX: \frac {b}{6} > -7
Answers
Answer:
[tex]\huge\boxed{b>-42\to b\in(-42;\ \infty)}[/tex]
Step-by-step explanation:
[tex]\dfrac{b}{6}>-7\qquad|\text{multiply both sides by 6}\\\\6\!\!\!\!\diagup\cdot\dfrac{b}{6\!\!\!\!\diagup}>(6)(-7)\\\\b>-42\to b\in(-42;\ \infty)[/tex]
is this a function? x
Answers
the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.
A tree that was 7 1/4feet tall grew 10 inches one
year and 1/6 of a foot the following year. How tall
was the tree after two years?
a. 8 feet, 3 inches
b. 8 feet
c. 7 feet, 6 inches
d. 7 feet
Answers
Answer:
A
Step-by-step explanation:
Please give brainliest!
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answers
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation:
2. Liz claimed that the polynomial 4x -12 + 2x is a trinomial because it has three
terms.
Is Liz correct? Explain your reasoning in complete sentences. Be specific!
Answers
Answer:
see below
Step-by-step explanation:
The first step is to combine like terms
4x -12 + 2x
6x -12
Then determine the number of terms
2 terms so it is a binomial
Answer:
Im not sure if I’m correct but I think she is correct because a trino Mila doesn’t always have to have a exponent but three terms
Step-by-step explanation:
not positive
Help Me need help please it is due today please help ASAP
Answers
Answer:
87
Step-by-step explanation:
you subtract 3:32-2:45
Solve: 5(h − 3) = 25
Answers
Answer:
h=8
Step-by-step explanation:
open the brackets
then, 5h - 15= 25
h=(25+15)/5
h=8
Answer:
h = 8
Step-by-step explanation:
Hi there !
5(h - 3) = 25
5h - 15 = 25
5h = 25 + 15
5h = 40
h = 40 : 5
h = 8
Good luck !
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answers
Answer:
its b i got it correct
Step-by-step explanation:
on ed 2020
Which equation correctly applies the distributive property?
A. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
B .(42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
C. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
D. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
Answers
Answer:
B
Step-by-step explanation:
if i won 10 games out of 16, how many games would i need to paly to win 50
Answers
Answer:
19
Step-by-step explanation:
Select ALL graphs that do NOT represent a function.
Answers
Answer:
3 and 5
Step-by-step explanation:
If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.
The lines represented by the equations 12y + 8x = 60 and y =-2/3x+5 are what type of line
Answers
Answer:
Straight negatively sloped lines
Step-by-step explanation: