Given: XY and ZW intersect at point A.Which conjecture is ahvars true about the given statement?Just number 16
Answers
Given that the intersection of XY and ZW is at point A
For option A :
XA = AY
This will be true only if point A is the midpoint of the segment XY, since point A is any point on the line, this conjecture is not always true.
For option B :
Take note that the two angles formed by two intersecting lines will always sum up to 180 degrees
By the definition of the acute angle, which is an angle less than 90 degrees
If XAZ is acute, The other angle is must not be acute.
Because the sum of two acute angles will not have a sum of 180 degrees.
For example 89 degrees is an acute angle and the other angle must be 180 - 89 = 91 which is not an acute angle.
So this conjecture is not always true for it may have a value of 89 degrees which is an acute, but it can also have a value of 91 degrees which is not an acute angle.
For Option C :
XY is perpendicular to ZW
This will be true only if the slope of XY and ZW is the negative inverse of each other
Since lines XY and ZW are not restricted to any slope. Therefore, this conjecture is not always true.
For option D :
X, Y, Z, and W are noncollinear
If the lines only shares at exactly one point, then the lines are noncollinear
If the lines are noncollinear, therefore the points also are noncollinear
Since XY and ZW shares at exactly one point which is the Point A, therefore the points X, Y, Z and W are noncollinear
and This conjecture is always true
The correct answer is Choice D.
Related Questions
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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$6500 earning 25% compounded
weekly for 1 year. What number goes in
the circle?
Answers
$8,125 is the compound interest.
What is compound interest?
When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.As an illustration, if you put $1,000 in an account that offers 1% yearly interest, you will receive $10 in interest after a year. Compound interest allowed you to earn 1 percent on $1,010 in Year Two, which amounted to $10.10 in interest payments for the year.P = $6500
R = 25%
T = 1
compound Interest A = P( 1 + r/100)ⁿ
= 6500( 1 + 25/100)¹
= 6500( 5/4)
= 6500 * 5/4
= $8,125
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ahhh!! I need it for correction and fast!
Answers
a particular geography book has 10 chapters aninstructor of seminor wishetocover7 chapter .how many way she can do?
Answers
A square pyramid has a base edge of 1 meter. The height of each triangular face is 1 meter. What is the pyramid's surface area?
Answers
Answer:
A square pyramid has 5 faces: 1 square base and 4 triangular faces.
The area of the base is:
A = s^2
where s is the length of the base edge.
In this case, s = 1 m, so:
A = 1^2 = 1 m^2
The area of each triangular face is:
A = 1/2 * b * h
where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).
In this case, b = 1 m and h = 1 m, so:
A = 1/2 * 1 * 1 = 0.5 m^2
The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:
SA = A_base + 4 * A_triangles
SA = 1 + 4(0.5)
SA = 1 + 2
SA = 3 m^2
Therefore, the surface area of the pyramid is 3 square meters.
Kelly is organizing a barbecue. She needs bread rolls and burgers. Bread rolls are sold in packs of 20. Burgers are sold in packs of 12. Kelly buys exactly the same number of bread rolls as burgers. What is the least number of each pack that Kelly buys?
Answers
Answer: She could buy 3 packs of burgers to = 60 burgers and then 5 packs of rolls to = 60 rolls
Step-by-step explanation:
Hope this helps!
Maggie claims that the function g(x)=x/3−4 is the inverse of the function of f(x)=3x+4 .
Which statement provides a correct analysis of Maggie's claim?
A
Maggie's claim is correct because if you add 4 to g(x) and then multiply it by 3 you get ƒ(x).
B
Maggie's claim is correct because when g(x) is substituted into every occurrence of x in ƒ(x), ƒ(g(x)) = x, and when ƒ(x) is substituted into every occurrence of x in g(x), g(ƒ(x)) = x.
C
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in ƒ(x), f(g(x))=x−8; therefore, g(x) is not the inverse of ƒ(x).
D
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in ƒ(x), ƒ(g(x)) = x; therefore, g(x) is not the inverse of ƒ(x).
Answers
Answer: it's C!
your welcome!
Let 0°
Given: tan a =2.4
Find: sin a and cos a
Answers
Answer:
sin α = 12/13;cos α = 5/13.-------------------------
Since angle α is between 0° and 90°, it is in the first quadrant and therefore all sin α, cos α and tan α are positive numbers.
Use the following identities:
tan α = sin α / cos α;sin² α + cos² α = 1.Given tan α = 2.4. Using identities, find cosine as follows:
sin α / cos α = 2.4sin α = 2.4 cos αcos² α = 1 - sin² αcos² α = 1 - (2.4 cos² α)²cos² α = 1 - 5.76 cos² αcos² α + 5.76 cos² α = 16.76 cos² α = 12.6 cos α = 1cos α = 1/2.6cos α = 10/26 cos α = 5/13Find sine:
sin² α = 1 - cos² αsin² α = 1 - (5/13)²sin² α = 1 - 25/169sin² α = 144/169sin α = 12/13Sound waves travel through the air at approximately 343 meters per second. A tuba player plays a constant note that has a wavelength of 4.61 meters.
Determine the period of the sound wave created by the tuba in seconds.
Answers
The period of the sound wave created by the tuba is approximately 0.0134 seconds.
The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:
v = λ × f
Where:
v = speed of sound (343 m/s)
λ = wavelength (4.61 m)
f = frequency (unknown)
To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:
v = λ / T
Rearranging the equation to solve for the period (T), we get:
T = λ / v
Substituting the given values, we have:
T = 4.61 m / 343 m/s
Calculating the value, we find:
T ≈ 0.0134 seconds
Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.
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Find relative extrema (x, y) of a function h(x) = x^3 + 3x^2 − 2 using
(a) the first derivative test
(b) the second derivative test
Which test is easiest?
Answers
a) Based on the first derivative test, h(x) has a relative minimum at x = -2 and a relative maximum at x = 0.
b) For x = -2: h''(-2) = 6(-2) + 6 = -6 < 0, so h(x) has a relative maximum at x = -2.
For x = 0: h''(0) = 6(0) + 6 = 6 > 0, so h(x) has a relative minimum at x = 0.
What is the calculus?Calculus is a branch of mathematics that deals with the study of rates of change, accumulation, and the properties and behavior of functions.
(a) First derivative test:
The first derivative test involves finding the critical points of the function, where the first derivative is equal to zero or undefined, and then checking the sign of the first derivative in the intervals between the critical points to determine whether the function has relative extrema at those points.
Find the first derivative of h(x):
h'(x) = 3x² + 6x
Set h'(x) = 0 and solve for x to find the critical points:
3x² + 6x = 0
x(x + 2) = 0
x = 0 or x = -2
Test the intervals between the critical points using the sign of the first derivative:
For x < -2: Choose x = -3, h'(-3) = 27 + (-18) = 9 > 0, so h(x) is increasing.
For -2 < x < 0: Choose x = -1, h'(-1) = 3 - 6 = -3 < 0, so h(x) is decreasing.
For x > 0: Choose x = 1, h'(1) = 3 + 6 = 9 > 0, so h(x) is increasing.
Based on the first derivative test, h(x) has a relative minimum at x = -2 and a relative maximum at x = 0.
(b) Second derivative test:
The second derivative test involves finding the critical points of the function using the first derivative, and then checking the sign of the second derivative at those points to determine whether the function has relative extrema at those points.
Find the second derivative of h(x):
h''(x) = 6x + 6
Evaluate the second derivative at the critical points found in step 2 of the first derivative test:
For x = -2: h''(-2) = 6(-2) + 6 = -6 < 0, so h(x) has a relative maximum at x = -2.
For x = 0: h''(0) = 6(0) + 6 = 6 > 0, so h(x) has a relative minimum at x = 0.
Hence, the ease of a test may vary for different individuals and their familiarity with calculus concepts.
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Identify the slope and y-intercept of the line below.
Slope=?
y-intercept=?
Answers
Answer:
Slope- y=1/4x-6
Y intercept= (0,-6)
Hope this helps!
8+8?
Pls help will mark you or whatever
Answers
Answer:
8+8=16
Step-by-step explanation:
Lets say you have 8 apples and your friend gives you 8 more apples. So, you count 9,10,11,12,13,14,15,16 which was 8 times.
Hope this helps.
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answers
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.8th grade math, please help.
I’ll give you brainliest if you want.
-Find the volume-
*links are reported*
Answers
Which statement must be added to the given to keep this proof valid?
A. JL ⊥ LM
B. KN ⊥ LM
C. JL || LM
D. KN || LM
Answers
A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.
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Calculate the distance between (2, -2) and (-3, -1).
Answers
Answer:5.1
Step-by-step explanation:
Calculate the surface area
Answers
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
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Find the vertex and focus of the
parabola.
x² + 8x - 12y + 88 = 0
Answers
For the given quadratic the vertex is (-4, 6) and the focus (-4, 6.02)
How to find the vertex of the quadratic equation?
Here we have the quadratic equation:
x^2 + 8x - 12y + 88 = 0
Isolating y, we get:
x^2 + 8x + 88 = 12y
(x^2 + 8x + 88)/12 = y
(1/12)*x^2 + (8/12)*x + (88/12) = y
Now, using the formula for the x-value of the vertex we get:
x = -(8/12)/(2*1/12) = -4
To get the y-value of the vertex we evaluate in x = -4, we will get:
y = ((-4)^2 + 8*-4 + 88)/12 = 6
So the vertex is (-4, 6)
Now we want to find the focus, the x-value is the same one as the vertex, and the y-value is:
y = k + 1/4a
Here we have k = y-value o the vertex = 6
a = leading coefficient = 1/12
Then:
y = 6 + 1/4*12 = 6.02
Then the focus is (-4, 6.02)
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Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?
Answers
Answer: Answer below
Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.
we can verify our answer by doing 9x8 which equals 72.
Answer: 9
Step-by-step explanation:
bears divided by shelves = number of bears per shelf
72 bears divided by 8 shelves= 9 bears per shelf
A convex lens with focal length f centimeters will project the image of an object on a
point behind the lens. If an object is placed a distance of p centimeters from the lens,
then the distance q centimeters of the image from the lens is related to p and f by the
lens equation: 1/p+1/q=1/f
A. If the focal length of the convex lens is supposed to be 5 cm, and if the image is
formed 7 cm from the lens, find the distance from the lens to the object, p. (It’s not necessary to simplify your answer.)
B. Find an expression that gives q as a function of p, assuming that the focal length is a constant of 5 centimeters.
C. Sketch a graph of q as a function of p (i.e., q(p)), assuming that the focal length is a
constant of 5 centimeters. Show any important features of the graph.
D. Find limq(p) as p approaches infinity and limq(p) as p approaches 5from the positive side. What do these limits represent physically? What must
happen to the distance of the image and the object?
Answers
Answer:
A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:
1/p + 1/7 = 1/5
Multiplying both sides by 35p, we get:
35 + 5p = 7p
Simplifying and rearranging, we get:
2p = 35
Therefore, the distance from the lens to the object, p, is:
p = 35/2 cm
B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:
1/q = 1/f - 1/p
Substituting f = 5 cm, we get:
1/q = 1/5 - 1/p
Multiplying both sides by 5qp, we get:
5p = qp - 5q
Simplifying and rearranging, we get:
q = 5p / (p - 5)
Therefore, the expression that gives q as a function of p is:
q = 5p / (p - 5)
C. Here is a sketch of the graph of q(p):
The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.
D. Taking the limit of q as p approaches infinity, we get:
lim q(p) = 5
This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.
Taking the limit of q as p approaches 5 from the positive side, we get:
lim q(p) = -infinity
This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.
In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.
Tìm ma trận X thỏa:1264X315
Answers
pogpogii mooooooooooo
A basketball court is 94 feet by 50 feet. Eight fans ca
fit next to each other in a 3 ft. by 3 ft. area. How
many kids would you estimate can fit side by side
over the entire floor?
Answers
Answer:
The entire floor can contain approximately 4178 fans
Step-by-step explanation:
The first step is to calculate the area of the basketball floor.
we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.
The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.
From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.
This is = 1.125 square feet.
To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.
4700/ 1.125 =4177.8 \(\approx\) 4178 fans
maria , an experienced shipping clerk, can fill a certain order in 12 hours. , a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order
Answers
It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.
To solve this problem, we can use the formula:
Time = Work ÷ Rate
Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.
Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).
Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).
If they work together, their combined rate of work is the sum of their individual rates:
Rate = Maria's rate + New clerk's rate
Rate = 1/12 + 1/13
Rate = (13 + 12) / (12 x 13)
Rate = 25 / 156
So, their combined rate of work is 25/156 jobs per hour.
Now, we can use the formula to find the time it takes for them to complete the job together:
Time = Work ÷ Rate
Time = 1 ÷ (25/156)
Time = 156/25
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A tennis ball can in the shape of a right circular cylinder holds four tennis balls snugly. If the radius of a tennis ball is 3.5 cm, what percentage of the can is not occupied by tennis balls?
Answers
Answer:
about 33.3%
Step-by-step explanation:
The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.
Volume of a cylinderThe volume of a cylinder of diameter d and height d will be ...
V = πr²h = π(d/2)²(d) = (π/4)d³
Volume of a sphereThe volume of a sphere of diameter d is ...
V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³
Unoccupied spaceThe fraction of space that is occupied is ...
occupied space = (sphere volume)/(cylinder volume)
occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3
The fraction of unoccupied space is ...
unoccupied fraction = 1 -2/3 = 1/3
unoccupied fraction ≈ 33.3%
Answer:
Putangina okay
Step-by-step explanation:
#CarryOnLearning
please explain why. In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition, and 6 compete in both the fox-trot and tango competitions. How many dancers compete in the fox-trot or tango competitions?
Answers
Answer: 34 of them do
Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because the question they want us to answer is only the ones who do fox-trot or tango not both
Hope this helps :)
Answer:
22+18-6=34
Step-by-step explanation:
Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.
We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.
Now, let's take a further look at how those sets are made up.
Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.
Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.
Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.
We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.
Hope this was a clear explanation :)
Which of the following is an extraneous solution of
√-3x-2=x+2
Answers
The option that is extraneous solution of
√-3x-2=x+2 is A. -6.
How to illustrate the information?From the information given, taking square both sides
-3x - 2 = (x + 3)²
On applying identity = a² + b² + 2ab
Then ,
-3x -2 = x² + 2² + 2 * 2 *x
-3x -2 = x² + 4 + 4x.
On adding both sides by 3x
-2 = x² + 4 + 4x + 3x
-2 = x² + 4 + 7x
On adding both sides by 2
0 = x² + 4 + 7x + 2
On switching sides
x² +7x + 6 = 0
On Factoring
x² +6x + x + 6 = 0
x ( x+ 6 ) +1 (x +6 ) = 0
On grouping
( x +1) ( x +6) = 0
x = -1, -6.
An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.
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Complete question
Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6
Logan has read 14 books and is reading 1 each week. Mariko has read 12 books and is
reading 1 each week. Which term describes this scenario?
Whats the answer?
Answers
The reading of the books are illustrations of linear equations
The term that describes the scenario is linear equations
How to illustrate the scenariosFrom the question, we have:
Logan
Books = 14
Rate = 1 per week
Mariko
Books = 12
Rate = 1 per week
So, the equations that represent the number of books read in x weeks are:
Logan: y =14 + x
Mariko = 12 + x
The above equations are linear equations
Hence, the term that describes the scenario is linear equations
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Yessusuwideosjhddsvhssbsgshyshdgs
Answers
Answer:
what
Step-by-step explanation:
Answer:
um, sorry i dont speak gibberish
Step-by-step explanation:
Help me answer this please
Answers
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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25x^2+20x+4 quadratic formula to solve.
Answers
Answer:
2(25xn+10x+2)
Step-by-step explanation:
Pasos de la solución
25xn2+20x+4
Simplifica 2.
2(25xn+10x+2)