Answer: [tex]\overline{DE}[/tex]
Step-by-step explanation:
Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.
Since reflection preserves the size of the figure and maps a congruent image .
Therefore, polygon ABCDE is congruent to polygon LMNOP
Also, we know that if two polygons are congruent then their corresponding sides are equal.
Then, LM=AB
MN=BC
NO=CD
OP=DE
AE=LP
So , the line segment in the image corresponds to [tex]\overline{OP}[/tex]in the pre-image is [tex]\overline{DE}[/tex]. [Last two letters of the name of polygons]
Answer:
(B) DE
Step-by-step explanation:
Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.
To find: A line segment in the image corresponds to OP in the pre-image.
Solution: It is given that Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.
Also, we know that reflection maps a congruent image, therefore polygon ABCDE is congruent to polygon LMNOP.
And, if two polygons are congruent then their corresponding sides are congruent, thus
LM=AB
MN=BC
NO=CD
OP=DE
AE=LP
Hence, the line segment in the image corresponds to [tex]\overline{OP}[/tex] in the pre-image is [tex]\overline{DE}[/tex].
Therefore, option B is correct.
Help please i need it and you dont have to show your work
Find the area of each room
Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll requires 2/7 of a yard of fabric. How many shirts can she make for her dolls?
Joanna's parents agree to loan her the money for a car. They will loan her $7,000 for 5 years at 4.5 simple interest. How much will joanna pay interest to ger parents?
Find the total area for the cylinder with the given measurement. r = 2, h = 4 16 square units 20 square units 24 square units
Answer: [tex]24\pi\text{ units}^2[/tex]
Step-by-step explanation:
We know that the total surface area of a cylinder is given by :-
[tex]TSA= 2\pi r(r+h)[/tex] , where r = radius and h= height of cylinder.
Given : Height : h= 4 units
Radius = 2 units
Then, the total surface area of the cylinder is given by :-
[tex]TSA= 2\pi 2(2+4)[/tex]
[tex]\Rightarrow\ TSA= 2\pi (12)=24\pi\text{ units}^2[/tex]
Hence, the total area for the cylinder = [tex]24\pi\text{ units}^2[/tex]
which phrase correclty describe the location on thr number line of opposite of -8? A a point 8 unit tot he left of -8. B a point 8 unit to the right of -8 C.a point 8 unit to the left of 0 D.a point 8 unit to the right of 0
find the solution x = 3 + y 21x + 8y = -24
Helpppp!!!!Im not sure what this is, isn’t the square root of 144 a rational number and the square root of 34 a rational number, too?
Suppose MyBook has roughly 1,000,000 users, and as each member signs up for an account, he or she is assigned a number. Which of these would result in the smallest sample size using systematic sampling?
A. Surveying every 25,000th number
B. Surveying every 250th number
C. Surveying every 25th number
D. Surveying every 2500th number
In systematic sampling, a higher n-value (every nth number) means fewer members are selected, thus smaller sample size. Therefore, surveying every 25,000th number results in the smallest sample size.
Explanation:In systematic sampling, every nth member of a population is chosen for sampling. The smaller the value of n, the larger the sample size will be, because you're selecting a member more frequently. When we compare the options given: A. 25,000, B. 250, C. 25, and D. 2500, we see that option A (the 25,000th member), will result in the smallest sample size. In this scenario, for a total user base of 1,000,000, selecting every 25,000th member would produce approximately 40 samples (1,000,000 / 25,000 = 40), which is less than what you'd get with the other options.
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The measure of angle KMN = ?? degrees
A rectangular horseshoe pit is 53 inches long and 32 inches wide. What is the area of the horseshoe pit? in2
In 1900, there was an Olympic underwater swimming event. The score was calculated by giving one point for each second the swimmer stayed under water and two points for each meter that the swimmer traveled. Charles de Vendeville from France earned a gold medal by staying under water 68.4 seconds while traveling 60.2 meters. How many points did Charles de Vendeville earn to place first? Express the answer to the nearest tenth of a point.
The points for the swimming event are calculated as :one point for each second the swimmer stayed under water and two points for each meter that the swimmer traveled.
Charles de Vendeville stayed under water for 68.4 seconds.
Points earned for staying under water = 68.4 (1)= 68.4
Vendeville from France travelled 60.2 meters
Points earned for traveling 60.2 meters = 60.2(2)= 120.4
Total points earned = 68.4+120.4=188.8
The figure shows two parallel lines AB and DE cut by the transversals AE and BD:
AB and DE are parallel lines, and AE and BD are transversals. The transversals intersect at C. Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle ACE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.
Which statement best explains the relationship between Triangle ABC and Triangle EDC ?
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5
Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
9514 1404 393
Answer:
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5
Step-by-step explanation:
Nothing indicates any triangle sides are congruent, a necessary condition for the triangles to be congruent.
In triangles ABC and EDC, angles 1 and 5 are corresponding. They are "alternate interior angles" with respect to the transversal AE, so are congruent. Angles 2 and 6 are congruent for a similar reason. The vertical angles at C are congruent, so the triangles are similar.
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5.
Which expression is equivalent to log w (x2-6)4
I need help please help me!!!!
A rectangular prism measures 2 2/5 inches by 3 1/5 inches by 2 inch. Priya said, it takes more cubes with edge length 2/5 inch cubes than cubes with edge length 1/5 to pack the prism. Do you agree?
No, she is not correct.
The volume of cubes with side 2/5 inches is : [tex](\frac{2}{5}) ^{3}[/tex] = 8/125 [tex]in^{3}[/tex]
and the volume of cubes with side 1/5 inches is : [tex](\frac{1}{5} )^{3}[/tex] = 1/125 [tex]in^{3}[/tex]
The cubes with sides 1/5 inches have 8 times lesser volume than that of the cubes with sides 2/5 inches.
So, to fill up the same volume, we would require 8 times more cubes of side 1/5 inches than cubes of side 2/5 inches.
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1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. How many hours did suzette run
Final answer:
To find out how many hours Suzette ran, we used a system of equations with the total distance and total time for running and biking. Solving the system, we determined that Suzette ran for 1.5 hours.
Explanation:
To determine how many hours Suzette ran, we can use the total distance and the total time given for running and biking activities, alongside her average speeds for each activity. We will then set up a system of equations that account for the distances and times and solve for the time Suzette spent running.
Let r be the time spent running and b be the time spent biking. We are given:
Total time: r + b = 3.5 hours
Total distance: 6r + 12.5b = 34 miles (6 mph is the running speed, 12.5 mph is the biking speed)
Now we'll solve this system of equations:
Substitute b from the first equation into the second equation: 6r + 12.5(3.5 - r) = 34.
Simplify and solve for r: 6r + 43.75 - 12.5r = 34.
This simplifies further to -6.5r = -9.75, hence r = 1.5.
Suzette ran for 1.5 hours.
Given that the points (-3, 2) and (1, 2) form one leg of a right triangle, which point could be another vertex of the triangle?
A) (7, 2)
B) (-1, 4)
C) (-3, -2)
D) (-1, -2)
The possible vertices of the right triangle are (-3, -2) and (-1, -2).
Option C and D are the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The points (-3, 2) and (1, 2) have the same y-coordinate, which means that they lie on a horizontal line.
The distance between these two points is 4 units, which is the length of the leg of the right triangle that they form.
The only way to form a right triangle using these points is to choose a third point on a vertical line passing through one of these two points.
Option B)
(-1, 4) does not lie on a vertical line passing through either of the given points.
Option C)
(-3, -2) lies on a vertical line passing through the point (-3, 2), so it could be a vertex of the right triangle.
Option D)
(-1, -2) lies on a vertical line passing through the point (1, 2), so it could be a vertex of the right triangle.
Therefore,
The possible vertices of the right triangle are (-3, -2) and (-1, -2).
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There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
a. 1/3
b. 1/2
c. 2/3
d. 3/1
If there are 5 boys and 10 girls in the glee club then the ratio which represents the number of boys to the total number of students in the club will be 1/3 which is option a.
What is ratio?Ratio is basically a relationship between two quantities which are expressed in times of another.
How to calculate ratio?Number of boys in the glee club=5
Number of girls in the glee club=10
Total number of students=10+5=15
Ratio=number of boys/total number of students
=5/15
=1/3
Hence the ratio between the boys to total number of students is 1/3.
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Is c the correct answer
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations.
Final answer:
Slope of function for Salesman A: 65
Slope of function for Salesman B: 40
Slope of function for Salesman C: 0
Explanation:
Slope of function for Salesman A: The slope of the function representing Salesman A's weekly paycheck is $65 per sale, as he earns $65 per sale. Since the commission is a constant rate per sale, the slope remains constant.
Slope of function for Salesman B: The slope of the function representing Salesman B's weekly paycheck is $40 per sale. This is because he earns $40 per sale, which makes the slope $40.
Slope of function for Salesman C: The slope of the function representing Salesman C's weekly paycheck is 0. Salesman C does not earn any commission, so his weekly salary remains constant at $900, regardless of the number of sales made.
How many times greater is the value of 5 in 3,590 than the value of 5 in 359 ?
Answer:
10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Step-by-step explanation:
To find : How many times greater is the value of 5 in 3,590 than the value of 5 in 359 ?
Solution :
The place value stem is
Thousand Hundred Tens Ones
1000 100 10 1
The value of 5 in 3,590 is at hundred place
So, [tex]5\times 100=500[/tex]
The value of 5 in 359 is at tens place
So, [tex]5\times 10=50[/tex]
Number of time greater is the value of 5 in 3,590 than the value of 5 in 359 is given by,
[tex]n=\frac{500}{50}[/tex]
[tex]n=10[/tex]
Therefore, 10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Final answer:
The value of 5 in 3,590 is 10 times greater than the value of 5 in 359 because the 5 in 3,590 represents 500 while in 359 it represents 50.
Explanation:
The question asks how many times greater the value of 5 in 3,590 is compared to the value of 5 in 359. In the number 3,590, the 5 is in the hundred's place, meaning it has a value of 500 (5 x [tex]10^2[/tex]). In the number 359, the 5 is in the ten's place, meaning it has a value of 50 (5 x [tex]10^1[/tex]). To find out how many times greater one value is than the other, we divide the larger by the smaller
So, 500 divided by 50 equals 10. This means the value of 5 in 3,590 is 10 times greater than the value of 5 in 359.
REALLY NEED HELP ANYONE?
If f(x) = 4^x then which of the following is the value of f (-2)?
Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.
Rana's yesterday's trip was m miles long. How long did Rana bike yesterday?
A window washer cleaned 38 windows in 2 hours.At this rate, how many windows did he clean in 7 hours?
0.9 of Karen's Science score is equal to 0.75 of her Math score and 0.8 of her Chemistry score. Given that Karen scored 96 marks for her Math, what was her total score of the 3 subjects?
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C = Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80 + 90).
Answer:
C 90
Step-by-step explanation:
What is the square root of 1,563?
10:100 it equivalent to
Oz= 1 c please help with this question
Find x and fill in the angle values. Could you also explain how it works? Please and thank you.