The options that are true about the two triangles are
△XYZ ~ △X'Y'Z';
XZY ≅ Y'Z'X'
XZ = 2X'Z'
How to Solve The Problems?The options are:
△XYZ ~ △X'Y'Z'
XZY ≅ Y'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mYXZ = 2mY'X'Z'
W are told that △XYZ is reflected over a vertical line, then dilated by 1/2 to form X'Y'Z'. This means that X'Y'Z' = ¹/₂XYZ
The side lengths of triangle X'Y'Z' is half the side lengths of the original triangle XYZ. The triangles are similar and the angles are congruent.
The side lengths of XYZ are twice the side lengths of X'YZ'.
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Make W the subject of the formula.
y-aw=2w-1
Please help.
Answer:
w=(y+1)/(2+a)
Step-by-step explanation:
Answer:
w=(y+1)/(2+a)
first you isolate w because u have to make 'w' the subject and bring all the value with w to one side of the equation and start eliminating those values then u will end with w as the subject
2) a researcher stands on a street corner in harrisonburg, and asks people who pass by them to complete a survey. what type of sampling strategy are they using and why do you think so?
The researcher is using convenience sampling as their sampling strategy. Convenience sampling involves selecting participants who are readily available and easily accessible.
In this case, the researcher is approaching people who pass by them on a street corner, which is a convenient and accessible location.
Convenience sampling is often used when time, resources, or logistics constraints make it challenging to implement more rigorous sampling methods. While convenient, this sampling strategy may introduce bias and may not represent the larger population accurately. People who pass by a specific street corner may not be representative of the entire population of interest, leading to potential sampling bias.
However, convenience sampling can be useful for obtaining quick insights or conducting exploratory research. It allows researchers to collect data efficiently and can serve as a starting point for further investigation. Nevertheless, it is important to acknowledge the limitations and potential biases associated with convenience sampling when interpreting the results.
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The digits from 1 to 6 are arranged to form a six-digit multiple of 5. What is the probability that the number is greater than 500,000
Answer:The probability that the number is greater than 500,000 is 1/3
Step-by-step explanation:
we know that probability can be caluclated by:
probability = no.of favourable events/Total no.of possible outcomes
Given,
Since the number must be the multiple of 5, the last digit should be 5,hence we have to arrange the first 5 digits, which can be done in 6^5 ways as each digit has 6 options.
i.e. no of 6 digit numbers using 1 to6 digits that are multiple of 5 are = 6^5
Now the number must be greater than 500000 and multiple of 5. hence the first digit can either be 5 or 6 and the last digit must be 5. And the remaining 4 digits has 6 options each
i.e. no.of six-digit numbers greater than 500000 and are multiple of 5 = 2*6^4
Probability=2*6^4/6^5 = 1/3
By selling a picture for $216,000 an antique dealer make a profit of $172,000. Find the cost price and the profit percentage
Answer:
\(\textsf {See below :-}\)
Step-by-step explanation:
\(\textsf {Finding cost price :}\)
\(\implies \textsf {Cost price = Sell Price - Profited Amount}\)
\(\implies \textsf {Cost price = 216,000 - 172,000}\)
\(\implies \textsf {Cost price = 44,000}\)
\(\textsf {Finding profit percentage :}\)
\(\implies \textsf {Profit percentage = }\) \(\mathsf {\frac{Profit}{Cost} \times 100 }\)
\(\implies \textsf {Profit percentage = }\) \(\mathsf {\frac{172,000}{44,000} \times 100}\)
\(\implies \textsf {Profit percentage = }\) \(\mathsf {3.90..... \times 100}\)
\(\implies \textsf {Profit percentage = }\) \(\textsf {390.9 percent}\)
which measure of variabilitu whould never be used alone to reach conclusions regarding the variance of a distribution
The measure of variability that should never be used alone to reach conclusions regarding the variance of a distribution is the range.
The range only considers the difference between the maximum and minimum values in a dataset and does not take into account the distribution or dispersion of the data between these extreme values. Therefore, relying solely on the range to assess variance would not provide a comprehensive understanding of the distribution's spread and may lead to misleading conclusions.
It is recommended to use other measures of variability, such as standard deviation or interquartile range, in conjunction with the range to gain a more accurate representation of the variance.
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Word Problems
1) Sam grew 7 watermelons, but the rabbits ate 5 watermelons.
How many watermelons does Sam have left?
2) There are 510 students at a school. If each
classroom holds 30 students, how many classrooms are needed at the school?
3) Tom has 72 muffins, which he needs to box up
into dozens. How many boxes does he need?
4) Alyssa has 4 books. Joan has 9 times more books than
Alyssa. How many books does Joan have ?
5) There are 49 pencils in the drawer. Melanie took 12
pencils from the drawer. How many pencils are now in the drawer ?
6) Joan picked 9 apples and Sam picked 3 apples from the apple tree.
How many apples were picked in all ?
Answer:
1. 2
2. 17
3. 6
4. 36
5. 37
6. 12
Step-by-step explanation:
1. 7-5=2
2. 30x17=510
3. 12x6=72
4. 4x9=36
5. 49-12=37
6. 9 plus 3=12
britney took a trip to florida over winter break. at the airport, she paid to check 2 bags. since both of her bags were over the weight limit, she had to pay an additional $9 fee for each bag. britney paid a total of $68 to check her bags. which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?
The equation representing the cost of a bag is 2x + 18 = $68 and for each bag Britney has to pay $25.
Let us consider 'x' be the total cost representing amount of money to check each bag under the weight limit.
Additional amount to pay per bag for over weight limit is equal to $9
Total amount paid by Britney to check both the bags = $68
Equation represents the cost of bags is equal to :
2x + 2(9) = $68
⇒ 2x + 18 = $68
⇒ 2x = $68 - $ 18
⇒ 2x = $50
⇒ x = $50 / 2
⇒ x = $25
Therefore, the equation which represents the cost of a bag is 2x + 18 = $68 and cost for each bag is $25.
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3. Caleb and Joshua are buying food and drinks for a hiking expedition. Caleb bought 5 food items and 4
drinks for $39. Joshua bought 4 food items and 8 drinks for $48. How much did each item cost?
Define your variables. x =
Write a system of equations..
Solve using any method.
y=_
The cost of each food item is $5 and the cost of each drink is $3.5.
Let x be the cost of one food item.
Let y be the cost of one drink.
System of Equations:
From Caleb's purchase, we have:
5x + 4y = 39
From Joshua's purchase, we have:
4x + 8y = 48
This set of equations can be resolved using substitution or elimination. Here, we'll employ the elimination strategy.
When we divide the first equation by 2, we obtain:
10x + 8y = 78
This is what we get when we subtract the second equation:
6x = 30
Dividing by 6, we get:
x = 5
Substituting this value of x into either of the original equations, we can find y:
4(5) + 8y = 48
20 + 8y = 48
8y = 28
y = 3.5
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Evaluate. -8 + 24 = 1
Answer:
16=1
Step-by-step explanation:
Step-by-step explanation:
Elena bought 8 tokens for $4.40. At this rate: How many tokens could she buy with $6.05?
Answer:
8 tokens
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
you divide 4.40 by 8 to see how many each token costs, which gives you .55 then you divide 6.05 by .55 to see how many you can buy and that gives you 11
what is the measure of angle OAC
Answer:
60
Step-by-step explanation:
As part of a class project, Sarah and Geoffrey conducted a survey asking their peers whether they planned on taking a music class the next year.
of the 90 students they surveyed, 43 responded favorably. Sarah and Geoffrey calculated the margin of error for different confidence intervals.
Their work is shown.
Sarah
Geoffrey
95% confidence:
90% confidence
0.48(1 - 0.48
ME = 1.96 V
90
(8) 1 - 3
ME = 1.65V
133
Which student incorrectly found the margin of error and why?
O A Geoffrey incorrectly found the margin of error because he used the wrong critical value.
OB. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
OC. Sarah incorrectly found the margin of error because she used the wrong sample proportion.
OD. Sarah incorrectly found the margin of error because she used the wrong critical value.
Answer:
Geoffrey incorrectly found the margin of error because he used the wrong sample size.
Please give me brainliest, I really need it.
Scarlett has the deluxe version of the card game Mysterious Monsters of the Deep with 3D images printed on the playing cards. She randomly selects one card from the deck, puts it back in the deck, and picks another card. She repeats this several times and gets 2 anglerfish, 3 vampire squids, 1 viperfish, 4 megamouth sharks, and 5 ghost fish.
Based on the data, what is the probability that the next card Scarlett selects will have an anglerfish on it?
The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.
To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.
From the given information, Scarlett selected 2 anglerfish cards during her previous selections.
The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.
Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.
Calculate the total number of cards Scarlett selected.
2 + 3 + 1 + 4 + 5 = 1
Calculate the number of anglerfish cards Scarlett selected.
Scarlett selected 2 anglerfish cards.
Calculate the probability of selecting an anglerfish card on the next draw.
Probability = Number of anglerfish cards / Total number of cards
Probability = 2 / 15
Probability ≈ 0.1333
Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.
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Please help!! Which of the following is equivalent
Answer:
\(\frac{x(x-3)+2(x-9)}{(x+9)(x-9)(x-3)}\)
Step-by-step explanation:
hope this helps
find the vertical asymptotes of the function f(x)=5tanx in the interval 0
To find the vertical asymptotes of the function f(x) = 5tan(x) in the interval 0 < x < pi/2, we need to look for values of x where the function is undefined.
Recall that the tangent function has vertical asymptotes at odd multiples of pi/2, because that's where the denominator (cos(x)) goes to zero. So, in this case, the vertical asymptotes of f(x) = 5tan(x) will occur at x = (2n + 1)pi/2, where n is an integer.
Since we're only looking at the interval 0 < x < pi/2, we just need to find the smallest n that gives us a value of x greater than pi/2.
For n = 0, we have x = (2n + 1)pi/2 = pi/2, which is in the interval we're interested in. For n = 1, we have x = (2n + 1)pi/2 = 3pi/2, which is not in the interval. Therefore, the only vertical asymptote of f(x) = 5tan(x) in the interval 0 < x < pi/2 is x = pi/2.
I hope that helps! Let me know if you have any other questions.
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The distance of a Line Segment from from one point on a circle's Circumference, Through the Center to another point on the circle's Circumference is the:
When a line segment is drawn from a point on a circle's circumference, through the center to another point on the circle's circumference, the distance of the line segment is equal to the diameter of the circle.
The diameter is defined as any straight line passing through the center of a circle, connecting two points on the circumference. It is the longest chord of the circle and is also the length of a circle's widest point.
The diameter is an important parameter of a circle, as it determines the circle's size and area. It is related to the circle's radius, which is half the length of the diameter. The diameter is also used in various formulas for calculating the circumference, area, and other properties of circles.
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help me with it I will give you 20 points
Answer:
a^2 +b^2=c^2
Given vertices of the triangle are A(4,4),B(3,5) and C(−1,−1)
We know that slope of line passing through the points (x 1,y 1) and (x 2,y 2
) is given by m= x 2−x 1
y
2
−y
1
,x
2
=x
1
Slope of AB i.e.m
1
=
3−4
5−4
=−1
Slope of BC i.e.m
2
=
−1−3
−1−5
=
−4
−6
=
2
3
Slope of CA i.e. m
3
=
4+1
4+1
=
5
5
=1
Clearly, m
1
m
3
=−1
⇒ line segments AB and CA are perpendicular to each other i.e; the given triangle is right angled at A(4,4).
Thus the points (4,4),(3,5) and (1,1) are the vertices of a right angled triangle.
Step-by-step explanation:
Which trinomial is a perfect square trinomial?
(A) y2+6y+36
(B) y2+25y+200
(C) y2+18y+81
(D) y2+36y+60
Answer:
C
Step-by-step explanation:
think in general
(y + c)² = y² + 2cy + c²
only A and C have a square number as constant term (36 and 81).
and while it is possible to have any real number as c, but the 2cy part needs to fit to the c² part.
6y = 2cy
2c = 6
c = 3
but 3² is 9 and not 36. so, no fit.
25y = 2cy
2c = 25
c = 12.5
but 12.5² is 156.25 and not 200. so, no fit.
18y = 2cy
2c = 18
c = 9
and 9² is indeed 81. so, this fits.
36y = 2cy
2c = 36
c = 18
but 18² is 324 and not 60. so, no fit.
so, only C is a correct answer.
What value(s) for n will make this equation true?
Answer:
B
Step-by-step explanation:
It the only one that make sense
I also want to know if the table is correct
Answer:
yes and b
Step-by-step explanation:
3ײ + 8 × - 8 - 5× ² - 10 please solve and give a solution tthankyou!! asap!!
Answer:
-2x²+8x-18
not sure if the x's are multiplication or x but this what I got.
Answer:
-2x² + 8x - 18Step-by-step explanation:
3ײ + 8 × - 8 - 5× ² - 10 please solve and give a solution tthankyou!! asap!!
3x² + 8x - 8 - 5x²- 10 =
-2x² + 8x - 18
 tell me how to answer this please I WILL MARK BRAINLIEST
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
find the midpoint (-3,0), (8,-10)
Answer:
Let the midpoint be M(x,y)
x=(-3+8)/2
x=5/2=2.5
y=(0-10)/2
y= -10/2= -5
M(2.5, -5)
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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C = {[1 2 3], ['cell '; 'array'], 24; [3; 6; 9], [22, 44; 66, 88], 'matrix'} what is the result of c{2, 1}?
'cell '. The element in the second row and first column of the cell array C is accessed using the phrase c(2,1). The first element in the second row of C is the string "cell," which is that element.
The element in the second row and first column of the cell array C is accessible by the equation c(2,1). The first element in the second row of C is the string "cell," which makes up that element. The string "cell" is the result of c(2,1).
The curly braces in MATLAB are used to retrieve the contents of a cell array. "Access the contents of the cell in the second row and first column of C" is what the phrase C2,1 implies. The string in question is the outcome of the expression since it is present in the relevant cell.
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Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
I think that C) and D)
Step-by-step explanation:
I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.
which one is not congruent SSS,SAS,AAS,ASA,HL?
Answer:
none of the above
Step-by-step explanation:
All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.
All can be used to show congruence.
Please give the proof process: 2n3 + 3n +10 = Q( n³).
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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The sum of the first 100 positive even numbers show your work
Answer:
In both cases we get the same answer: the sum of the first 100 positive even numbers is 10,100.
Step-by-step explanation:
2 + 4 + 6 + 8 + ....+ 198 + 200 =
= (2 + 200) + (4 + 1998) + ... + (100 + 102) = 50*202 = 10,100
A student has 10 coins in her pocket that have a value of $0.85. The coins are either
nickels or dimes. Which system of linear equations represents this scenario?
Answer:
\(\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.\)
Step-by-step explanation:
System of Equations
Let's call:
x = number of nickels in the student's pocket
y = number of dimes in the student's pocket
Each nickel has a value of $0.05, so x nickels have a value of 0.05x
Each dime has a value of $0.10, so y dimes have a value of 0.10y
The student has a total of 10 coins, thus:
\(x+y=10\)
The total value of the coins is $0.85, thus
\(0.05x+0.10y=0.85\)
The system of linear equations that represents this scenario is:
\(\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.\)