Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.
Answers
Answer:
The correct option is;
y = 6
Step-by-step explanation:
The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.
The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts
The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry
In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side
Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.
Option A will represent the line of reflection.
A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.
If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.
Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.
Therefore, line given in Option A will represent the line of reflection.
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Related Questions
A purse is on sale for $25.60. If the original price of the purse was $32.00,what is the percent of discount?
Answers
Answer:
20%
Step-by-step explanation:
The dollar amount of the discount is $32.00 - $25.60 = $6.40
Now we need to find what percent of $32.00 is $6.40.
To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
part = $6.40
whole = $32.00
percent = $6.40/$32.00 * 100%
percent = 20%
1 11. What is the constant of proportionality? y = 8x
Answers
Answer:
-8
Step-by-step explanation:
lere
The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =
Answers
x=57 y=10
57/6=9.5
10*9.5 =95
y=95
Johnny scored a 75% on his math test. He got 18 questions
correct. How many questions were on the test? *
Answers
Answer:
24
Step-by-step explanation:
18/24=0.75
Hope this helps!
Help me pleaaaaaaassssssssseeeeeeee
Answers
Answer:
+29
Step-by-step explanation:
(-)(-)=+
The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
X-
Calculate the Z-score for a tree that has a diameter of
1.83 inches. Round the Z-score to the nearest
hundredth, if necessary.
The Z-score for a tree that has a diameter of 1.83 inches
is about...?
Answers
Answer:
-1.34
Step-by-step explanation:
I don’t know the answer to this
Answers
1)
What number is 4 times as many as 25?
Answers
Answer:
100
Step-by-step explanation:
I need help? I don’t know what to dooooooo
Answers
1 What is the nature of the roots of the quadratic equation if the value of its discrimman
is zero?
The roots are not real
o the roots are rational and not equal
b. The roots are irrational and not equal d the roots are rational and equal
2. Whal is the ans of symmetry of the parabola y
Answers
Answer:
If d is zero, both roots are rational and equal.
Step-by-step explanation:
Quadratic Equations
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The discriminant is defined as:
[tex]d=b^2-4ac[/tex]
The sign of the discriminant defines the nature of the roots of the quadratic equation as follows:
If d is positive, both roots are real and differentIf d is negative, both roots are imaginary and conjugateIf d is zero, both roots are rational and equal.Mr. Webb had 90.66 feet of wood. If he gave Jim 15.4 feet, Allison 20.69 feet and Cory
32.02 feet, how much does he have left?
Answers
Answer:
22.55 ft of wood is what mr. webb will have left
expresa en lenguaje algebraico lo siguiente
Answers
Answer:
i dont speek Spanish sorry
which is more , 1 gallon or 7 pints ,
a. 1 gallon
b. 7 pints
c. nethier ; they are equal
Answers
Answer:A
Step-by-step explanation: 1 Gallon is equal to 8 pints.
Answer:
A
Step-by-step explanation:
pint=1/8 of a gallon
therfor 7 pints = 7/8
7/8<1gal
4x - 10 = p+ 3x - 2x what is the value of x
Answers
Answer: if you need more let me know
In February, you have a balance of $135 in your bank account. Each month you deposit $45. Write an equation to describe the situation.
Answers
Answer:
135+45x
Step-by-step explanation:
Please help me out with problem 2.
Answers
Image is too blurred.
Try taking another one.
Answer:
Step-by-step explanation:
I will be using all caps for variables
Solve for L
V = LWH
/ WH /WH
V/WH = L
Solve for H
V = LWH
/LW /LW
V/LW = H
A high school track is 9.76 meters wide. It is divided into 8 lanes of equal width for
track and field events. How wide is each lane?
Answers
Answer:
1.22
Step-by-step explanation:
9.76/8
Solve x^2 = 64, where x is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Answers
Answer:
x=8
Step-by-step explanation:
8 times 8 equals 64
What is the best first step to solve the inequality 5x – 3 ≥ 2?
Answers
Answer:
add 3
Step-by-step explanation:
trust me
A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation.
Answers
The answeris : y=35x+75
please help me and don't just write a random answer for the points. thank you
Answers
Answer:
If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck
Step-by-step explanation:
yoooo can someone help meeee thanks In advance
Answers
Answer:
The slope of F = 5.
Not 100% sure.
Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts
Answers
Answer:
22
Step-by-step explanation:
The side of the rectangle that is 20 feet divide it by 5
[tex]\dfrac{20}{5}=4[/tex]
Now we add one to this as the fence post each required in each 5 feet section.
The same is the case for the opposite side.
So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]
Now for the 35 feet side
[tex]\dfrac{35}{5}=7[/tex]
Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.
So, new posts on the 35 ft side is 6.
So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]
Total number of posts is [tex]10+12=22[/tex]
Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)
Answers
Answer: 6.32 units
Step-by-step explanation: You count the distance and get 6.32 units.
Find the average rate of change for the function over the given interval.
2) y = 6x3 - 6x2 - 8 between x = 2 and x = 4
Answers
Answer:
132
Step-by-step explanation:
The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.
y = 6x^3-6x^2-8
____
x = 2
6(2)^3-6(2)^2-8
6(8)-6(4)-8
48-24-8
24-8
16
____
x = 4
6(4)^3-6(4)^2-8
384-96-8
288-8
280
_____
280-16/4-2 = 264/2 = 132
Find he percent of change from 1250 to 1,755mi
Answers
1250/1755 = .7122
.7122 *100 = 71.22%
100 - 71.22 = 28.7749
A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP
Answers
Answer:
1/8 tablespoons
Step-by-step explanation:
Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.
You can do this by multiplying 1/2 by 1/4.
[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]
Answer:
it would be 1/8
Step-by-step explantion:
simply divide
1/2÷4
=1/8
(that should be right)
A cake recipe for 5 people requires two eggs. How many eggs do you need for a 15 person cake
Answers
Answer:
6 eggs
Step-by-step explanation:
15=5*3
so times the eggs by 3
2*3=6
Please help or i get a detention!
Answers
Answer:
a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.
b)Angle BXC = 70⁰
Step-by-step explanation:
b) Since XB = XC, triangle BXC is therefore an isosceles triangle.
Angle XBC = Angle XCB
Sum of interior angles of a triangle = 180⁰
55⁰ + 55⁰ + Angle BXC = 180⁰
110⁰ + Angle BXC = 180⁰
Angle BXC = 180⁰- 110⁰
= 70⁰
Solve the following system of equations. y + 5x = 30 2y = 5x + 15
Answers
Answer: Solve 2y-5x-30 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y-5x-30 = 0 and calculate its properties
Step-by-step explanation:
Answer:
x = 3, y = 15
Step-by-step explanation:
Given the 2 equations
y + 5x = 30 → (1)
2y = 5x + 15 → (2)
Subtract 5x from both sides in (1)
y = 30 - 5x → (3)
Substitute y = 30 - 5x into (2)
2(30 - 5x) = 5x + 15 ← distribute left side
60 - 10x = 5x + 15 ( subtract 5x from both sides )
60 - 15x = 15 ( subtract 60 from both sides )
- 15x = - 45 ( divide both sides by - 15 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 30 - 5(3) = 30 - 15 = 15
Thus solution is x = 3, y = 15