i wont give the answer but i will tell you how to solve
Opening Exercise
The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?
Discussion
When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).
Exploratory Challenge
Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.
Does every figure have a line of symmetry?
Select the correct answer.
Hillary and her friends are trying to decide whether to go bowling or to a movie. Which method could they use to fairly decide which activity they
will do?
A.Flip a coin twice. If the coin lands on heads both times, they will go bowling. If it doesn't, they will go to a movie.
B.Flip a coin twice. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a
movie.
C.Flip a coin three times. If the coin lands on tails all three times, they will go to a movie. If it doesn't, they will go bowling.
D.Flip a coin three times. If the coin lands on heads twice and tails once, they will go to a movie. If it doesn't, they will go bowling.
Answer:
D.
Step-by-step explanation:
I would have to say D is the best answer since then it's truly based on luck and it's almost as if it's being flipped once
Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.
What is probability?Probability is the ratio that shows the likelihood of an event occurring out of all the other possible events.
Hillary and her friends need to use a fair method to determine which activity to do. For this, the probability should be 1/2. We should observe the given options and find which is the fairer method.
In the case of option A, the probability of that event occurring is 1/4.In the case of option B, the probability of that event occurring is 1/2.In the case of option C, the probability of that event occurring is 1/8.In the case of option D, the probability of that event occurring is 3/8. We can see that Option B is the only event having a probability of 1/2.Therefore, Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie. The correct answer is Option B.
Learn more about probability here: https://brainly.com/question/24756209
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Factorise fully 4x-x³
Answer:
[tex]x(2 - x)(2 + x)[/tex]
Please help me
I give u brainliest answer if correct and all those
Answer:
3) 23.32
4) 11.12
5) 2.06
6) 20.69
..................
Answer:
Step-by-step explanation:
3. 12+3.04+8.28= 23.32
4. 6.97+4.15= 11.12
5. 9.04-6.97= 2.07
6. 4.02+0.19+16.48= 20.69
Sorry if I'm wrong hope it helps!
Please help!! Thank you
Answer:
Equilateral acute
Step-by-step explanation:
Equilateral acute
Find a solution to the following system of equations by graphing
y= 7x + 3
y= 3x -0.5
Answer: (-7/8, -3 1/8)
Step-by-step explanation:
To find the solution to a system of equations by graphing, you graph the two equations and the solution is where the two lines intersect. Attached is the graph.
Answer:
the answer is (-0.875, -3.125)
Pls help ASAP math plsssss
Answer:
ASAP meaning as soon as possible
Answer:
y= 1.4x + 7
Step-by-step explanation:
y= mx + b
m = rise over run = 7/5 = 1.4
the y intercept is 7, this is our b
Find the measure of 46.
62°
16
46 = [?]
Answer:
118
Step-by-step explanation:
62+ m<6=180
180-62=118
m<6=118
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
What expression is equivalent to 1/3x + 1/4 - 2/3x
Show work please
Answer:
1/12 * (-4x+3)
Step-by-step explanation:
1/3x + 1/4 - 2/3x
1/12 * (4x+3-8x)
1/12 * (-4x+3)
How many total hours did the girls spend cleaning their home
Answer:
it should be 12
Step-by-step explanation:
because 3x4=12
Answer: 12
Step-by-step explanation: each girl spent 3 hours cleaning, their was 4 girls so 4 x 3 = 12
Given that n is an integer, prove that 6 is a factor ofn3+ 5n
Answer:
n3+5n=6
taking common as n
n(5+3)=6
n8=6
plz help me
..................
Answer:
Step-by-step explanation:
The average of 15 test scores is 80. If the average of first eight test scores is 65 and that of the last eight test scores is 70, then the eighth score is 80.
True or False?
Answer:
FalseStep-by-step explanation:
The average of 15 test scores is 80.
The total is:
15*80 = 1200The average of first eight test scores is 65.
The total is:
8*65 = 520The average of last eight test scores is 70.
The total minus 8th score is:
8*70 - 80 = 480The sum gives us the total of 15 scores:
520 + 480 = 1000 < 1200The answer is FALSE
PLEASE HELP
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to
create a two-way table to analyze her results. Which describes the variables she can use in the first row and first
column to create her table?
A.painting preference and total number of students
B.painting preference and number of students in class 1
C.class number and painting preference
D.class number and number who prefer oil
Answer:
D. class number and number who prefer oil
Which two numbers are exactly 10 units away from 5?
Answer:
-5 and 15
Step-by-step explanation:
10±5 = -5, 15
If a punch bowl hold 216 ounces of punch how many 8 ounce glasses can be filled from the punch bowl
Answer:
27 glasses
Explanation:
216 divided by 8 is 27
Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________
From the question,
Rohan bought an almirah for =Rs.13600= cost price
Transportation cost =Rs.400
The total cost price of almirah =Rs.(13600+400)
The total cost price of almirah =Rs.(13600+400)=Rs.14000
He sold it for =Rs.16800= selling price
By comparing SP and CP=SP>CP, so there is a gain
Gain=SP−CP
=16800−14000
=Rs.2800
Gain %={(gain/CP)×100}
={(2800/14000)×100}
={2800/140}
=20%
A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?
Answer:
18.6
Step-by-step explanation:
Answer:
18.6
Step-by-step explanation:
trust me brotha plz give me like
Determine The Missing Number In The equation
1+12= +2
PLEASE HURRY!!!!
3. A square candy box has sides the
What is the candy box's area?
Step-by-step explanation:
you need to know something about numbers in order to answer this question
Solve and graph the inequality 16x < -64
Answer:
x < -4
Step-by-step explanation:
-64/16 = -4
giving brainliest ! *easy*
Answer:
170
Step-by-step explanation:
17π/18 * 180/π
17*180/18
=170
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer
50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?
1. (5,8)
2. (-1,-3)
3. (-4,-11.5)
4. (1.2, -2.78)
These are all yes and no questions!
Hi there!
[tex]\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}[/tex]
We are given the equation:
x² - 2y = 7
To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:
1. (5)² - 2(8) = 7
25 - 16 = 9 ≠ 7. This is NOT correct.
2. (-1)² - 2(-3) = 7
1 + 6 = 7. This is correct.
3. (-4)² - 2(-11.5) = 7
16 + 23 = 39 ≠ 7. This is NOT correct.
4. (1.2)² - 2(-2.78) = 7
1.44 +5.56 = 7. This is correct.
Thus, only 1 and 4 are the correct answers.
No yes no yes
:)
Brainliest please! <3 i will give you brainliest and 5 free points if you do! I will post the free answers problem, it will be called
“(1 + 1)-2” and it will have your username!
hi pls help me in math im soo stuck:(((plss
Answer/Step-by-step explanation:
a. First, find the value of a.
Sum of the interior angles of a triangle = 180° (triangle sum theorem)
Therefore:
3a + 2a + a = 180°
Add like terms
6a = 180°
6a/6 = 180/6
a = 30
Thus:
a = 30°
2a = 2(30) = 60°
3a = 3(30) = 90°
b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.
Therefore, sum of the isosceles triangle would be:
2(2x) + 5x = 180°
4x + 5x = 180
9x = 180
9x/9 = 180/9
x = 20
Thus:
2x = 2(20) = 40
5x = 5(20) = 100
Will give brainliest answer please help
Answer:
[tex]a^{2}(24a^{2}+36a+12)[/tex]
Step-by-step explanation:
Area of rectangle= Length*Width
so [tex](6a^{2}+9a+3)*4a^{2}[/tex] multiply each coefficient of a times 4a^2
[tex]24a^{4}+36a^{3}+12a^{2}[/tex] then take a^2 common factor so it will be
[tex]a^{2}(24a^{2}+36a+12)[/tex]=area
What is the circumference of the circle with a radius of 31
Answer:
circumference = 194.68
Step-by-step explanation:
c = π2r
c = (3.14)(2)(31) = 194.68
Please help and give brainliest answer
Write the sentence as an inequality.
1. The sum of twice a number n and 8 is at most 25.
Answer:
2n + 8 = 25
try the sign (equal to) or (less than or equal to)
To pour the concrete sidewalk shown in the figure, approximately how many cubic feet of topsoil will you need to remove for the 4"-thick sidewalk if the owner wants the finish surface of the sidewalk to be level with the adjacent topsoil? ROUND YOUR ANSWER TO THE NEAREST CUBIC FOOT. _____ cu ft
Answer: 109 cu ft
Step-by-step explanation: had it on a test
A lunch menu consists of 8 different sandwiches, 5 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
A) 291
B) 18
C) 200
D) 296