Identify the transformation that maps the figure onto itself.
A) Reflect across the line y = -3
B) Reflect across the line x = 3
C) Rotate 180° about the point (3, -3)
D) Rotate 180° about the point (5, -5)
I believe it's B because transformation is moving it in a straight line, rotating is moving in a circle, therefore, it can't be C or D.
Answers
i.e. If the figure is gut into two across the line y = -3, we will have two exactly the same shapes.
Thus, the transformation that maps the given figure unto itself is refrection about the line y = -3.
Answer:
The correct option is A.
Step-by-step explanation:
The given is a isosceles trapezium because the length of two non-parallel sides are equal.
An isosceles trapezium has a axis of symmetry which divides the trapezium in two equal and symmetric parts.
The axis of symmetry intersecting the parallel line at their midpoint.
From the below figure we can say that the sides AB and CD are parallel and y=-3 is the axis of symmetry.
So, when we respect the figure across y= -3, then we get the same figure.
Rotation 108 degree across any point will never maps the figure onto itself.
Therefore the reflection across the line y = -3 maps the figure onto itself and option A is correct.
Related Questions
Explain how knowing 5 divided by 8 = 0.625 helps you write the decimal for 4 5/8
Answers
You only need to add 4 because it's a whole number, making the end result 4.625.
Thad and his four family members are going to the fair. Admission to the fair costs $8. Books of ride tickets are $15. THad has 200$. How much will he have for food and souvenirs?
Part 1: Define your variables and write an inequality that models the situatio.
Part 2: After paying for all family members to get into the fair, Thad buys books of ride tickets for 3 of them. Use the in equality from Part 1 to solve for the amount of money Thad has left for food and souvenirs. Show your work.
Answers
Answer:
Given,
Total number of members = 5,
Also, admission to the fair costs $8,
So, the total fair cost = $ 40
Part A: Let x represents the number of people who ride, and y represents the amount ( in dollars ) needed for food and souvenirs,
Since, ride cost for each person = $ 15,
So, the total ride cost = 15x dollars,
Thus, the total spending = ( 40 +15x + y ) dollars
According to the question,
The budget is of $ 200,
That is, total spending can not exceed $ 200,
⇒ 40 +15x + y ≤ 200
⇒ 15x + y ≤ 160
Which is the required inequality that represents the given situation,
Part B : If x = 3
15(3) + y ≤ 160
45 + y ≤ 160
y ≤ 115
Hence, $ 115 would left for food and souvenirs.
Destiny combines 6.42 liters of red paint with 6.87 liters of blue paint to make purple paint. she pours the paint equally into 3 containers, and has 2.64 liters of paint left over. how many liters of paint are in each container?
Answers
(13.29 - 2.64) / 3 =
10.65/3 =
3.55 liters per container <=
Quantity of paint in each container will be 3.55 liters
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Quantity of red paint = 6.42 liters
Quantity of blue paint = 6.87 liters
And, she pours the paint equally into 3 containers, and has 2.64 liters of paint left over.
Now,
Total quantity of paint = 6.42 + 6.87
= 13.29 liters
Thus, The quantity in each container = 13.29 - 2.64 / 3
= 10.65 / 3
= 3.55 liters.
Therefore, Quantity of paint in each container will be 3.55 liters
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In which case is it legal to drive through a crosswalk?
A. When pedestrians are crossing but you have a green light
B. When all pedestrians are in lanes other than yours
C. When you can safely avoid pedestrians in your lane
D. None of the above
Answers
A. is wrong because pedestrians have right of way
B. is wrong because you could be turning right but they are in the far away, you are not allowed to turn because pedestrians have right of way
C. no because pedestrians have right of way
D is the answer
explain how you can use a straightedge and a protractor to show that each angle you formed by a bisector is one-half the original angle
Answers
You can measure the angle by following these steps:
1- Place the straightedge on the base of the angle.
2- Slide the protractor over it until the vertex of the angle is at the zero of the protractor.
3- Measure the angle.
Which parking lot is less expensive if Mr. Lujan returns after 2 days and 3 hours?
Answers
A player's goal was to score at least 150 points this season. So far, she has scored 123 points. If there is one game left, how many points must she score to reach her goal?
A) Write an inequality that represents this word problem.
Answers
The inequality that represents this word problem will be 150 - 123 = 27.
From the information given, the player's goal was to score at least 150 points this season but the player already has scored 123 points.
Therefore, since there is one game left, the number of points that must be scored to reach her goal will be:
= 150 - 123 = 27
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The following eight values represent the sale amounts over a one hour period: $10 $5 $60 $20 $15 $20 $9 $2. What is the median sales value over this period?
Select one:
a. $12.50
b. $17.63
c. $20.00
d. $31.00
Answers
You're supposed to arange the numbers in order from least to greatest then you mark out the highest and the lowest number. You keep this up until either there is one or two numbers left. In this case, there are two numbers as the median. Add $10 and $15 then you divide it by two.
S is between T and V. R is between S and T. T is between R and Q. QV=18, QT=6, and TR=RS=SV. Find RS , QS , TS , and TV.
Answers
4 4 4
-----Q-----------------------T----------------R---------------S---------------V
<----------6----------->
<-----------------------------------------18--------------------------------->
QT = 6 (given)
QV = 18 (given)
TR=RS=SV (given)
Then TV = 18-6 = 12 and since TR=RS=SV , then each segment = 12/3 =4
RS = 4
QS = 14
TS = 8
and TV. = 12
A line can have as many points as possible, and multiple lines can have similar points. The values of RS, QS, TS and TV are:
[tex]RS = 4\\QS =14\\TV = 12\\TS = 8[/tex]
S is a point between lines T and V means:
[tex]TV = TS + SV[/tex]
R is a point between lines S and T means:
[tex]TS = RS + TR[/tex]
T is a point between lines R and Q means
[tex]RQ = TR + QT[/tex]
Given that:
[tex]QT = 6\\QV = 18[/tex]
This means that Q is a point between lines QT and QV. So:
[tex]TV = QV - QT[/tex]
[tex]TV = 18- 6[/tex]
[tex]TV = 12[/tex]
[tex]TR=RS=SV[/tex] means that:
[tex]TV = TR+RS+SV[/tex]
Because [tex]TR=RS=SV[/tex], the equation becomes:
[tex]TV = TR+TR+TR[/tex]
[tex]TV = 3TR[/tex]
Substitute 12 for TV
[tex]12 = 3TR[/tex]
Divide both sides by 3
[tex]4 = TR[/tex]
[tex]TR =4[/tex]
Hence:
[tex]TR=RS=SV=4[/tex]
[tex]TS = RS + TR[/tex] gives
[tex]TS = 4 + 4[/tex]
[tex]TS = 8[/tex]
Next, we calculate the measure of QS from lines QV and SV
Point S is common between QS and SV. This means:
[tex]QV = QS + SV[/tex]
Make QS the subject
[tex]QS =QV -SV[/tex]
[tex]QS =18-4[/tex]
[tex]QS =14[/tex]
Hence, the values of RS, QS, TS and TV are:
[tex]RS = 4\\QS =14\\TV = 12\\TS = 8[/tex]
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What is the measure of angle ABD in trapezoid ABCD?
A. 24°
B. 40°
C. 64°
D. 92°
Answers
116+24=140
180-140=40
∠ABD=40
B. 40
Answer:
The answer is B.40
Step-by-step explanation:
B. if the two surge protectors are arranged in parallel, what is the probability that a voltage surge will not damage the television?
Answers
you are baking muffins for your class. there are 17 total students in your class and you have baked 5 muffins. write and solve an equation to find the additional number x of muffins you need to bake in order to have 2 muffins for each student. write your equation so that the units on each side of the equation are muffins per student
Answers
Answer:
Additional muffins required, x = 29
The equation so that the units on each side of the equation are muffins per student
[tex]\frac{5+x}{17}=2[/tex]
Step-by-step explanation:
Let the additional number x of muffins you need to bake in order to have 2 muffins for each student.
We have total number of students = 17
Number of muffins already baked = 5
So total number of muffins made = Number of muffins already baked + Additional muffins to be made
Total number of muffins made = 5 + x
We know that each student need to get 2 muffins
Total muffins needed = 17 x 2
Equating both
5 + x = 17 x 2
x = 34 - 5 = 29
Additional muffins required, x = 29
[tex]\frac{5+x}{17}=2[/tex]
This is the equation so that the units on each side of the equation are muffins per student
What is the relationship between 5.34×105 and 5.34×10−2 ?
Answers
and
5.34 x 10⁻² = 0.0534
so the relationship between these two numbers are first one is greater than the other number. the numbers or digits before the power of ten is same but when we the whole as with power of ten, that powers change the values of numbers.
Answer:
5.34×105 and 5.34×10−2
Step-by-step explanation:
the first is greater than the scoend and the second is less then
Form the intersection for the following sets.
R = {10, 15, 20}
S = {20, 25}
R ∩ S =
A.{ }
B.{10, 15, 25}
C.{20}
D.{10, 15, 20, 25}
Answers
In Trevor's biology class, the students tested for bacteria on a kitchen sponge. They found that there were approximately 17,000,000 bacterial colonies on a single sponge. Express their findings in scientific notation.
17 × 106
1.7 × 106
1.7 × 107
0.17 × 108
Answers
Choice C
Answer:
1.7 × 10 7
Step by step explanation:
What property of multiplication do we use to find equivalent fractions?
Answers
The equivalent fractions for 2/3 are 6/9, 10/15, and 12/18; the multiplicative identity is a feature of multiplication which is used to find equivalent fractions.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Given that 2/3 by multiplying by 3/3, 5/5, and 6/6.
= (2/3)(3/3)
= 6/9
= (2/3)(5/5)
= 10/15
= (2/3)(6/6)
= 12/18
The multiplicative identity is a feature of multiplication which is used to find the equivalent fractions.
Hence, the equivalent fractions for 2/3 are 6/9, 10/15, and 12/18; the multiplicative identity is a feature of multiplication which is used to find equivalent fractions.
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a) As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance, about how many hours would you need to work to earn $8,425? Show your work.
Answers
Answer:
About 821.95 hours. 8,425 divided by 10.25 is 821.95
821.95 hours
8,425
10.25
_____ = 821.95
Step-by-step explanation:
edge2021
how is the decimal 2.4 written as a mixed number in its simplest form
Answers
2 2/5
That's the answer
The mixed number in their simplest form can be represented as
[tex]2\dfrac{2}{5}[/tex]
What are real numbers?Real numbers are defined as the value of a continuous quantity that can represent a distance along a line a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.
we have to determine the decimal 2.4 written as a mixed number in its simplest form.
Given that the decimal as:
⇒ 2.4
⇒ 2 + 0.4
Convert decimals into a fraction.
⇒ 2 + 4/10
⇒ 2 + 2/5
Thus, mixed number in their simplest form is
[tex]2\dfrac{2}{5}[/tex]
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Last week they share of stock gained a total of 1.64 points express this game as a mixed number in simplest form
Answers
=(1/16/25)
=41/25
Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. What is the function rule for g(x)?
A.
g(x) = -x^ 2 - 3
B.
g(x) = -x ^2 + 3
C.
g(x) = x ^2 - 3
D.
g(x) = x ^2 + 3
please show your work
Answers
refelction meand g(x) would equal -(fx)
so the answer would be C g(x) = -x^2 - 3
The product of numbers on the diagonal when comparing two ratios
Answers
If x+z=15x+z=15 and w+y=10w+y=10, what is the value of (3w+3y)(2x+2z)(3w+3y)(2x+2z) ?
Answers
Answer:
The value of [tex]\((3w+3y)(2x+2z)\)[/tex] squared is [tex]\(810,000\).[/tex]
Explanation:
To find the value of [tex]\((3w+3y)(2x+2z)\)[/tex], we can first simplify each factor:
[tex]\((3w+3y) = 3(w+y)\)[/tex]
[tex]\((2x+2z) = 2(x+z)\)[/tex]
Given that [tex]\(w+y = 10\) and \(x+z = 15\)[/tex] , we can substitute these values into the expressions:
[tex]\((3w+3y) = 3(10) = 30\)[/tex]
[tex]\((2x+2z) = 2(15) = 30\)[/tex]
Now, we multiply these two simplified expressions together:
[tex]\((3w+3y)(2x+2z) = 30 \times 30 = 900\)[/tex]
So, the value of [tex]\((3w+3y)(2x+2z)\) is \(900\).[/tex]
To find the value of [tex]\((3w+3y)(2x+2z)\)[/tex] squared:
[tex]\((3w+3y)(2x+2z)^2 = (900)^2 = 810,000\)[/tex]
Therefore, the value of [tex]\((3w+3y)(2x+2z)\)[/tex] squared is [tex]\(810,000\).[/tex]
Zach is 23 years old. Zach's age is 3 years older than twice Maya's age. Let m represent Maya's age.
Which equation can be used to solve for Maya's age?
23 = 2m + 3
23 = 3m + 2
23 = m + 3
23 = 2m
Answers
To get to Zach's age, you have to double it and add 3.
So 2m + 3 = 23. That's the first answer.
Answer:
The correct option is A) [tex]23=2m+3[/tex].
Step-by-step explanation:
Consider the provided information.
Zach is 23 years old. Zach's age is 3 years older than twice Maya's age.
Let m represent Maya's age.
Twice of Maya's age can be written as:
[tex]2m[/tex]
3 years older than twice Maya's age can be written as:
[tex]2m+3[/tex]
It is given that Zach is 23 years old and Zach's age is 3 years older than twice Maya's age.
Thus, the above expression equal to 23.
[tex]23=2m+3[/tex]
Hence, the correct option is A) [tex]23=2m+3[/tex].
"More than 60% of the students scored below the mean on the last test." Can this statement be true? Why or why not?
Answers
So if the remaining 40% of students score 100 points, and the 60% score like 50 points, then the mean would still be 70 points because of the 40% of students that scored super high.
So yes, it can be true.
This can be true if the 60% of students scored really low and the 40% that didn't score below scored really high. Example: 20 kids in the class. 12 of the kids (60%) got 10% on their last test. 8 of the kids got 100%. The mean: ((10x12)+(100x8)) / 20 = 48. The mean is 48, but 60% of students got 10.
Answer: Yes
WILL GIVE 20 POINTS
Write the expression 44(4–7)(4) using a single exponent.
A) 4^–28
B) 4^–4
C) 4^–3
D) 4^–2
Answers
Answer:
D) 4^-2
Step-by-step explanation:
Given: 4^4*4^-7*4
If the base is the same, we can add the powers.
a^m * a^n = a^(m + n)
4^4*4^-7*4 = 4^(4 - 7 + 1)
= 4^(5 - 7)
= 4^-2
Answer: D) 4^-2
Hope this will helpful.
Thank you.
Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
Answers
Answer:
The equation would be y = 2x + 2
Step-by-step explanation:
We know that the equation of a line can be represented as:
(y - y1) = m ( x - x1)
where (x1, y1) is a point that belongs to the line and m is the gradient.
For this particular problem we would have (x1,y1) = (1,4) and m = 2.
If we substitute this data in the formula we get:
(y - y1) = m (x - x1)
y - 4 = 2(x - 1)
y - 4 = 2x - 2
y = 2x - 2 + 4
y = 2x + 2
Therefore, the equation would be y = 2x + 2
The equation of the line which has a gradient of 2 and passes through the point (1,4) is:
y = 2x + 2
What is gradientGradient also known as slope is the defined as
Gradient (m) = change in y coordinate / change in x coordinate
The equation of a line passing through a given point is given by the following equation:
y – y₁ = m(x – x₁)
How to determine the equation of the line passing through point (1,4)x coordinate (x₁) = 1y coordinate (y₁) = 4Gradient (m) = 2Equation =?y – y₁ = m(x – x₁)
y – 4 = 2(x – 1)
Clear bracket
y – 4 = 2x – 2
Make y the subject by adding 4 to both side
y – 4 + 4 = 2x – 2 + 4
y = 2x + 2
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Arrange the complex numbers in order according to the quadrant in which they appear, starting with the first quadrant.
1. 3 − 4i
2. -1 − 3i
3. 4 + i
4. -2 + 2i
Answers
Answer:
The order of the complex numbers, numbered from the first quadrant are
4 + i
-2 + 2i
-1 - 3i
3 - 4i
Answer:
The previous answer was correct
Step-by-step explanation:
Which is the line shown in the figure?
Answers
The answer is Line XZ. The line goes through them.
5+4g+8=1 (g=-3;g =-1; g =2)
Answers
write the sentence as a proportion
5 is to 7 as 15 is to X
9 is to 3 as X is to 12
g is to 9 as 16 is to 12
6 is to 18 as y is to 3
Answers
5:7 as 15:21 (x = 21)
9:3 as 36:12 (x = 36)
12:9 as 16:12 (g = 12)
6:18 as 1:3 (y = 1)