Help me Pleaseee this has to be turned in by tomorrow I am a 7th grader for tips to get an accurate answer
Answers
Answer:
Parallelogram S: b = 7, h = 6
Parallelogram T: b = 3, h = 6
Area of Parallelogram S = 42
Area of Parallelogram T = 18
Step-by-step explanation:
The bases and heights of each parallelogram are given by the arrows, just count the number of boxes you see.
Area = base × height, so you just multiply these numbers. Area of parallelograms is found the same way as area for squares/rectangles.
7 × 6 = 42 and 3 × 6 = 18
Related Questions
Student Council sells soft drinks at basketball games and makes $ 1.50 from each. If they pay $ 75 to rent the concession stand, how many soft drinks would they have to sell to make $ 250 profit?
F. 116
G. 117
H. 167
J. 217
Answers
Answer: 166 Soft Drinks
Step-by-step explanation:
250 ÷ 1.50 = 166
What minimum information is sufficient to determine congruency for each of the following?
a) two squares
b) two rectangles
c) two parallelograms
Answers
Two parallelograms will be congruent only when all four corresponding sides are equal in length & one corresponding internal angle is equal.
What is mean by congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
If two line segments are the same length, they are said to be congruent.If two angles have the same measure, they are said to be congruent.If two circles have the same diameter, they are congruent.If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
Two parallelograms will be congruent only when all four corresponding sides are equal in length & one corresponding internal angle is equal.Two rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.To learn more about congruency refer to:
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y varies directly with x .If y= -5/8 when x= 3/2 , find x when y=(2/5)
Answers
The required value of the constant of proportion and x is (-12 / 5) and (⅙) respectively.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of constant of variation and x
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Now, find k for, given x = 3 / 2 and y = -5 / 8, we need to put these values in equation 1, i.e.
-5 / 8 = k(3 / 2)
k = -12 / 5
Further, calculate x for given y = (⅖) and constant of proportion = -12/5 i.e.
2 / 5 = (- 12 / 5) × (x)
x = -⅙
Hence, the required value of constant of variation and z is -12 / 5 and -⅙ respectively.
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What is wrong with the following statement? If t, then r t = S.
Answers
The correct statement for the expression is that 't' should be multiplied by 's'.
Given r/s = t and explain what is wrong with the statement as r * t = s.
Given expression as r/s = t
We can write this expression as
r/s = t/1
By cross multiplication on both sides we get
r * 1 = t * s
r = t * s
This is the correct expression we get. But the given statement r * t = s is false.
We conclude this as 't' should be multiplied by 's'.
Hence, the correct option is option B is correct.
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Determine whether set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer. 65,72,88
Answers
Given set of numbers 65, 72, 88 represent an acute triangle.
By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.
Since the sum of the lengths of any two sides is greater than that of the third side, the set of numbers are the measures of a triangle.
Now we find the type of triangle.
We find the sum of the squares of the two smaller sides, and compare the sum to the square of the largest side.
the sum of the squares of the two smaller sides is,
= 65² + 72²
= 4225 + 5184
= 9409
= 97²
And 88² = 7744
Since the sum of the squares of the two smaller sides is greater than the square of the largest side, the triangle must be an acute triangle.
Therefore, given set of numbers 65, 72, 88 represents an acute triangle.
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In this problem, you will use dynamic geometric, software to investigate line and rotational symmetry in regular polygons.
a. Use The Geometer's Sketchpad to draw an equilateral triangle. Use the reflection tool under the transformation menu to investigate and determine all possible lines of symmetry. Then record their number.
Answers
The equilateral triangle has three symmetry lines.
What do we mean by rotational symmetry?In geometry, rotational symmetry, also recognized as radial symmetry, is the property that a shape has when it looks the same after a partial turn rotation. The degree of rotational symmetry of an object is the number of distinct orientations in which it appears exactly the same for each rotation.Certain geometric objects, such as squares rotated 90°, are partially symmetrical when rotated at certain angles; however, the only geometric objects that are fully rotationally symmetric anywhere at an angle are spheres, circles, and other spheroids.So,
The Geometer's Sketchpad is indeed a commercial interactive geometry software program that allows you to experiment with Euclidean geometry, algebra, calculus, and other areas of mathematics. In this question, we must draw an equilateral triangle in the Geometer's Sketchpad and then use the reflection tool from the transition menu to investigate and determine all possible lines of symmetry. Then write down their number. Now we'll draw the figures on the Geometer's Sketchpad.Step 1:
Create an equilateral triangle and label its vertices A, B, and C. Draw a perpendicular line A to BC.In the line, reflect the triangle. Display the reflected image's labels. This line is the line of reflection if the image maps to the original.Step 2:
Next, draw a line perpendicular to AC through B.In the line, reflect the triangle. Display the reflected image's labels. This line is the line of reflection if the image maps to the original.Step 3:
Draw a line C perpendicular to AB now. In the line, reflect the triangle.Display the reflected image's labels. This is the line of reflection if the image includes the original.(Refer to the graphs below)
Therefore, the equilateral triangle has three symmetry lines.
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Find the least common multiple of each pair of polynomials.
x² - 1 and x² + 2x + 1
Answers
The least common multiple of each pair of polynomials x² - 1 and
x² + 2x +1 is equal to (x-1)(x+1)².
As given in the question,
Given pair of polynomial are x² - 1 and x² + 2x +1
Simplify each pair of polynomial by factorizing them
Apply a² -b² =(a-b)(a +b)
x² -1 =(x-1)(x+1)
Apply (a +b)² =a² +2ab +b²
x² + 2x + 1 =(x+1)²
Least common multiple of (x-1)(x +1) an (x+1)² =(x-1)(x+1)²
Therefore, the least common multiple of each pair of polynomials x² - 1 and x² + 2x + 1 is equal to (x-1)(x+1)².
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A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25500 kilograms. Other shipments weighing 6400 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 40-kilogram crates that can be loaded into the shipping container.
Answers
If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is: x=≤ 477.5.
Inequalityx is the integer
First step is to formulate the inequality
40x≤ 25,500-6,400
Now let determine the x by using the inequality
40x≤ 25,500-6,400
40x≤19,100
x=≤19,100/40
x=≤ 477.5
Therefore If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is: x=≤ 477.5.
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The function y=3√-x-3 is graphed only over the domain of {x 1-8 ≤x≤ 8). What is the range of the graph?
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The function y=3√-x-3 is graphed only over the domain of {x 1-8 ≤x≤ 8). is the range of the graph is b) {y : -5 < x < - 1 }
Range is set of Y values for which the function is define.
So, in order to find the range , we need to find the corresponding y values for given domain.
Put x = -8 in y = ∛-x -3 then we get,
y = ∛-x -3
y = ∛-(-8) -3
y = ∛8 -3
y = 2 -3
y = - 1
Put x = 8 in y = ∛-x -3 then we get,
y = ∛-(8) -3
y = ∛-8 -3
y = -2 -3
y = - 5
Hence the range of function y = ∛-x -3 over the domain of {x : -8 < x < 8 } is
{y : -5 < x < - 1 }
correct option is b) {y : -5 < x < - 1 }
In arithmetic, the range of a function may seek advice from either of intently associated concepts: The codomain of the feature The image of the function Given two units X and Y, a binary relation f between X and Y is a function if for each x in X there is exactly one y in Y such that f relates x to y.
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-2/3y -3/4 =5
What does y equal
Answers
Step by Step:
Step 1: Simplification
-2/3y + -3/4 = 5
Step 2: Add 3/4 to both sides.
-2/3 + -3/4 + 3/4 = 5 + 3/4
Step 3: Simplify again
-2/3y = 23/4
Step 4: Multiply both sides by 3/-2
3/-2 * -2/3y = 3/-2 * 23/4
Step 5: Solve
y=-69/8 or -8.625
Solve the following compound inequality:
−3(x + 7) − 15 > 2x + 4 or −2x + 6 < 4(x − 3)
a
x < −8 or x > 3
b
x > −8 or x < 3
c
x < 8 or x > −3
d
x > 8 or x < −3
Answers
Answer: a
Step-by-step explanation:
[tex]-3(x+7)-15 > 2x+4\\\\-3x-21-15 > 2x+4\\\\-3x-36 > 2x+4\\\\-36 > 5x+4\\\\-40 > 5x\\\\x < -8[/tex]
[tex]-2x+6 < 4(x-3)\\\\-2x+6 < 4x-12\\\\6 < 6x-12\\\\18 < 6x\\\\x > 3[/tex]
Taking the union, we get that [tex]x < -8[/tex] or [tex]x > 3[/tex].
if g (x) = 3(4)^x, what is the value of g(2)
Answers
If function g(x)= [tex]3(4)^{x}[/tex], then the value of g(2) is 48
The function g(x) = [tex]3(4)^{x}[/tex]
Function is the expression the defines the relationship between between a set of inputs having one output each. The set of all possible input of the function is called domain and set of all possible output of the function is called range
Here the function is g(x)= [tex]3(4)^{x}[/tex]
The values of x = 2
Substitute the value of x in the function
g(x)= [tex]3(4)^{2}[/tex]
First find the value of [tex]4^{2}[/tex]
g(x)= 3×16
Multiply it
g(x)= 3×16
g(x)=48
The value of g(2) is 48
Hence, If function g(x)= [tex]3(4)^{x}[/tex], then the value of g(2) is 48
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I WILL MARK
Spot the mistake for all of these (if you can!)
Answers
The following procedure mistakes are listed below:
A mistake was made in the first step. (Misuse of distributive property). A mistake was made in the first step. (Misuse of distributive property). A mistake was made in the first step (Misuse of distributive property and compatibility with multiplication). A mistake was made in the first step (Misuse of distributive property and compatibility with multiplication). A mistake was made in the first step (Misuse of existence of multiplicative inverse and distributive property). A mistake was made in the first step (Misuse of compatibility with addition).How to spot a mistake in the procedure of resolution of equations with fractions
In this question we find six cases of equations with fractions, whose intended procedures are shown, of which we must determine in what step a mistake is done:
Case 1
x / 2 + 3 = 9 Given
x + 6 = 18 Compatibility with multiplication / Distributive property / Definition of multiplication
x = 12 Compatability with addition / Existence of additive inverse / Modulative property
A mistake was made in the first step. (Misuse of distributive property)
Case 2
(2 · x - 1) / 3 + x = 3 Given
2 · x - 1 + 3 · x = 3 Compatibility with addition / Distributive property
5 · x - 1 = 3 Commutative, associative and distributive properties / Definition of addition
5 · x = 2 Compatibility with addition / Commutative, associative and modulative properties / Existence of additive inverse
x = 2 / 5 Compatibility with multiplication / Existence of multiplicative inverse / Associative and modulative properties / Result
A mistake was made in the first step. (Misuse of distributive property).
Case 3
(5 · x + 5) / 10 + (2 · x + 6) / 10 = 6 Given
5 · x + 5 + 2 · x + 6 = 60 Compatibility with multiplication / Existence of multiplicative inverse / Commutative, associative and distributive properties
7 · x + 13 = 60 Associative, commutative and distributive properties
7 · x = 47 Compatibility with addition / Existence of additive inverse / Commutative, associative and distributive properties
x = 47 / 7 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result
A mistake was made in the first step (Misuse of distributive property and compatibility with multiplication).
Case 4
3 - 5 / (x + 1) = 1 Given
3 · (x + 1) - 5 = x + 1 Compatibility with multiplication / Distributive, associative and commutative properties
3 · x - 2 = x + 1 Distributive property / Definition of subtraction
2 · x = 3 Compatibility with addition / Existence of additive inverse / Commutative, associative and distributive properties
x = 3 / 2 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result
A mistake was made in the first step (Misuse of distributive property and compatibility with multiplication).
Case 5
x / 3 + x = 2 Given
5 · x / 3 = 2 Modulative property / Existence of multiplicative inverse / Definition of division
5 · x = 6 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Definition of division
x = 6 / 5 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Definition of division / Result
A mistake was made in the first step (Misuse of existence of multiplicative inverse and distributive property).
Case 6
(2 · x + 5) / 5 + 2 = 7 Given
2 · x + 7 = 7 Compatibility with multiplication / Distributive, associative and commutative properties
2 · x = 0 Compatibility with addition / Existence of additive inverse / Commutative and associative properties
x = 0 Compatibility with multiplication / Existence of multiplicative inverse / Commutative and associative properties / Cancelative property / Result
A mistake was made in the first step (Misuse of compatibility with addition).
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factorize -b^2+48c^2+8bc
Answers
Answer:
(4c + b)(12c - b)
Step-by-step explanation:
- b² + 48c² + 8bc ← rearrange
48c² + 8bc - b² ( split the middle term )
= 48c² + 12bc - 4bc - b² ( factor first/second and third/fourth terms )
= 12c(4c + b) - b(4c + b) ← factor out (4c + b) from each term
= (4c + b)(12c - b)
Name the circle, a radius, a chord, and a diameter of the circle.
Answers
(a). Using the concept given above, PC and AB are the circle's chords.
(b). In the given figure, OC, OP, OA and OB are the radii of the circle.
(c). A chord which is not the diameter of the circle is PC.
What is meant by Circle?A circle is a shape in which all points are the same distance from the center. Circles are named after their centers. Therefore, the right circle is called circle A because its center is at point A. Real-world examples of circles include (the surface of) wheels, dinner plates, and coins.
(a). Circle chords are two-point line segments that connect two different places on the circumference of a circle.
Using the concept given above, PC and AB are the circle's chords.
(b). Line segments formed by joining any point on the boundary on the circle with the center of the circle are known as radii of the circle.
In the given figure, OC, OP, OA and OB are the radii of the circle.
(c). A chord which passes through the center of the circle is known as diameter of the circle.
A chord which is not the diameter of the circle is PC. ( By using the definition of chord and diameter of the circle.)
The complete question is:
In figure, O is the center of the circle
(a) Name all chords of the circle
(b) Name all radii of the circle
(c) Name a chord, which is not the diameter of the circle
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Two suitcases are similar rectangular prisms. The smaller suitcase is 68 centimeters long, 47 centimeters wide, and 27 centimeters deep. The larger suitcase is 85 centimeters long.
a. What is the scale factor of the prisms?
Answers
The scale factor of two suitcases that are similar rectangular prisms is 5/4.
Solids of the same type that have proportional corresponding linear measures are similar solids. In the case of similar rectangular prisms:
length of A / length of B = width of A / width of B = height of A / height of B
Scale factor refers to the ratio of the corresponding dimensions of similar solids.
If the smaller suitcase is 68 centimeters long and the larger suitcase is 85 centimeters long, then the scale factor is:
scale factor = length of larger suitcase / length of smaller suitcase
scale factor = 85 cm / 68 cm
scale factor = 5/4
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Liz and Sucely were texting. The number of texts that Sucely sent was three times the difference of the number of texts liz send and the number 5.If Sucely sent 21 texts, how many texts did Liz send?
Answers
Answer:
12
Step-by-step explanation:
We'll give Sucely the variable s and Liz l.
s = 3(l - 5)
21 = 3(l - 5) distribute the 3
21 = 3l - 15 add 15 to each side
36 = 3l divide each side by 3
12 = l
So, Liz sent 12 texts
The office manager of a small office ordered 140 packs of printer paper. Based on average daily use, she knows that the paper will last about 80 days.
b. What is the equation of the line in standard form?
Answers
4y - 7x = 0 is the equation of the line in standard form.
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
To find standard equation of a line we will use points (0,0) and (80,140)
Lets fine the slope of given data, slope, m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
m = [tex]\frac{140- 0}{80- 0}[/tex]
m = 140/80
m = 7/4
We can now make the slope intercept form that is y = mx
with the given data,
y = 7/4(x)
4y = 7x
subtract 7x both the side and we get
4y - 7x = 0
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Evaluate the function at the given value.
If g(x) = 10x + 4 find g(x + 2) and
g(x) + g(2).
Show your work here
g(x + 2) =
g(x) + g(2)
=
Answers
Answer:
g(x + 2) = 10x + 24
g(x) + g(2) = 10x + 28
Step-by-step explanation:
1) If g(x) = 10x + 4, then g(x+2) = 10(x+2) + 4
g(x) = 10x + 20 + 4
g(x + 2) = 10x + 24
2) If g(x) = 10x + 4, then g(x) + g(2) = 10x + 4 + 10(2) + 4
g(x) + g(2) = 10x + 4 + 20 + 4
g(x) + g(2) = 10x + 28
ABCD is a rectangle. Find angles a and b, giving reasons with each step.
Answers
Answer:
a = 45°b = 23°Step-by-step explanation:
If I name the centre (intersection of diagonals) as O, Angle AOD will be equal to 68°
[Opposite angles are equal]
The diagonals bisect the 4 corner angles of a rectangle in equal halves. So, a = 45°
Also, Angle ADO = 90° - b
[Each of the four angles in a rectangle = 90°]
And In [tex]\triangle[/tex] AOD,
=> Angle AOD + Angle ADO + Angle OAD = 180°
=> 68° + 90° - b + 45° = 180°
=> 203° - b = 180°
=> b = 23°
Write an equation for each transformation of y=x .
Vertical compression by a factor of 1/4 .
Answers
Vertically Stretching and Compressing
Multiplying a function by positive constant yields a function whose graph is vertically stretched or compressed relative to the original function's graph. If the constant is greater than 1, it will stretch vertically. If the constant is between 0 and 1, vertical compression is done. You get vertical compression.
Vertical compression occurs when you multiply the function by a rational scaling factor. The base of the function graph remains the same even when the graph is compressed vertically. Only initial values are affected.
Solution:
To write the equation of the function y = x with a vertical compression by a factor of 1/4, we will use the formula given below:
y = a · x
This equation means y = a · x, and a is the vertical compression/stretch. Since a = 1/4, we can substitute 1/4 for a.
Therefore, the answer is D, y = 1/4x.
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Each chess piece has a path that it can follow to move. The rook, which begins in square a8, can only move vertically or horizontally. The knight, which begins in square b8, can move two squares horizontally and then one square vertically, or two squares vertically and one square horizontally. The bishop, which begins in square f 8 , can only move diagonally.
b. After two moves, the rook is in square d3. Describe a possible translation to describe the two moves.
Answers
Part a: The possible locations for the knight after two moves are a7, a5, e7 or e5.
Part b: A rook would have to move down 5 spaces and right 3 spaces, according to one possible translation.
How to describe a chess?One of the most well-known and oldest board games, played between two opponents on a checkered board with specifically made contrasting pieces, usually white and black After White moves first, players take turns in compliance with fixed rules, each attempting to force the opponent's main piece, the King, in to the checkmate—a position in which it cannot avoid capture.
Chess is played on a 64-square board divided into eight vertical rows known as files as well as eight horizontal rows known as ranks. These squares alternate among two colors: one light (white, beige, or yellow) and one dark (black or green). The board is positioned between the two competitors so that each has a light-colored square in the upper right corner.Niw, as per the given question;
Part a: The knight's first move can be to a6 (green square 1) or c6 (red square 1). If he lands on a6, he can move on to c7 or c5. He can land on a7, a5, e7, or e5 if he lands on c6.
Part b: The rook would have to move 5 spaces down and 3 spaces right.
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The complete quesion is-
Each chess piece has a path that it can follow to move. The rook, which begins in square a8, can only move vertically or horizontally. The knight, which begins in square b8, can move two squares horizontally and the one square vertically, or two squares vertically and one square horizontally. The bishop, which begins in square f8, can only move diagonally.
a. The knight moves 2 squares vertically and 1 square horizontally on its first move, then two squares horizontally and 1 square vertically on its second move. What are the possible locations for the knight after two moves?
b. After two moves, the rook is in square d3. Describe a possible translation to describe the two moves.
If your brother borrows $835 at 10% interest rate for eleven years, how much interest will he pay?
Answers
For this case, your interest rate will be (. 11 x 100 = 11) 11%. Step 3: Apart from this, you can also calculate your time period involved, principal amount and interest amount paid in a specific time period if you have other inputs available with you. Calculate interest amount paid in a specific time period, I = Prt
Answer:
918.50 in interest over 11 years.
Step-by-step explanation:
Comment
You have to make an assumption here. The assumption is that this is simple interest.
So if the brother pays 10% each year, he is paying
10/100 * 835 each year in interest
10/100 * 835 = 83.50 every year.
There are 11 years, so the total interest paid is 11 * 83.50 = 918.50 dollars in total.. That's more than what he borrowed!
Bonjour, j’ai un devoir pour demain et je n’y arrive pas. Merci d’avance.
33 On donne la fonction f : x +-> 5x - 7.
• Écrire un programme de calcul traduisant le calcul de l'image de x par la fonction f.
Answers
Answer:
secret hukgjkkkkouugvgv uukkoygjo
Can anyone please solve these two questions
Answers
For the function f(2) = 9:
1. The value of the output is: 9
2. The value of the input is: 2.
How to Solve a Function?The function, f(2) = 9 is interpreted as, for an input value of 2, we would get an output value of 9.
This means that, when x (independent variable or input) is 2, y (dependent variable or output) would be 9.
Thus, given the function f(2) = 9, we have the following:
1. The value of the output is: 9
2. The value of the input is: 2.
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b + 12a; use a = 4, and b = 2
Answers
Answer:
50
Step-by-step explanation:
All my work shown in the screenshot provided. If you have any questions please let me know! Have a wonderful day!
Answer:
b + 12a; use a = 4, and b = 2
=2+12*4
=2+48
=50
Which of the following choices will simplify
7-5(3)^2
Answers
The simplified form the expression (7 - 5(3)²) is -38.
What is the simplified form of the given expression?Simplification is the process involved in replacing a mathematical expression by an equivalent one which is that is usually simpler and shorter.
For example;
a + b + 2a + 2b = 3a + 3b.
Given the expression in the question;
7 - 5(3)²
Simply each term, raise 3 to the power of 2
7 - 5(3)²
7 - 5(9)
Multiply -5 and 9
7 - 5(9)
7 - 45
Subtract 45 from 7
-38
Therefore, the simplified form the expression (7 - 5(3)²) is -38.
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Can yall help me with this
Answers
Answer:week 4
Step-by-step explanation:
Cindy is shopping for a new desk chair at a store where the desk chairs are 50% off. She also has a coupon for 50% off any one item. Cindy thinks that she can now get the desk chair for free. Is this true? If not, what will be the percent off she will receive with both the sale and the coupon?
Answers
Cindy thinks that she can now get the desk chair for free which is false. Then the percent off that she will receive with both the sale and the coupon will be 75%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
Let X be the price of a new desk chair.
Cindy is shopping for a new desk chair at a store where the desk chairs are 50% off. Then the cost of a new desk chair after 50% off will be
⇒ 50% of X
⇒ 0.50X
She also has a coupon for 50% off any one item. Then the cost of a new desk chair after applying the coupon of 50% will be
Cost = 50% of 0.50X
Cost = 0.25X
Cindy thinks that she can now get the desk chair for free which is false.
Then the percent off that she will receive with both the sale and the coupon will be
Discount = [(X - 0.25X) / X ] * 100
Discount = 0.75 x 100
Discount = 75%.
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Does the orientation of the vertices change or stay the same after a reflection?
Answers
The orientation of the vertices stay same after a reflection.
The orientation of the vertices is nothing but The relative arrangements of points following a transformation or after surrounding a geometric shape are known as orientation. In terms of how the points align, orientation is divided into clockwise and counterclockwise. The points are opposite the original shape when the orientation is reflected. Same orientation denotes that the points are simply a reflection of the original figure and are arranged in exactly the same manner.
The orientation of the vertices stay same after a reflection.
When you translate a figure, you slide it left, right, up, or down. This implies that the coordinates for the vertices of the figure will alter on the coordinate plane.
Apply the same change to each point to graph a.
The variations in a reflection's coordinates can be used to identify it. The figure makes a mirror image of itself when it flips across a line in a reflection. Consider the reflection in the image.
Therefore, The orientation of the vertices stay same after a reflection.
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