Triangle 1 is transformed as shown in the diagram, resulting in triangle 3. Describe the transformations.
A) dilation, then reflection
B) rotation, then translation
C) reflection, then translation
D) translation, then reflection
Answer:
D) translation, then reflection
Step-by-step explanation:
First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.
So, the correct answer is - translation, then reflection
In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.
Planes A and B intersect.
Which describes the intersection of plane A and line m?
line k
line n
point X
point W
In analytic geometry, the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line:
it is the entire line if that line is embedded in the plane,it is the empty set if the line is parallel to the plane but outside it. Otherwise, the line cuts through the plane at a single point (see attached picture for details).In your case line m is not parallel to the plane A and is not embedded in the plane, then the intersection is the point. Since point X is common point of the line m and the plane A, then the intersection of plane A and line m is point X.
Answer: correct choice is C.
Point X as it is the only point common in the both , Therefore Option C is the correct answer.
What is the point of intersection ?The point of intersection is the unit place where the two lines or planes meet each other .
In the given figure it can be seen that the the intersection of plane A and line m is given by Point X as it is the only point common in the both.
Therefore Option C is the correct answer.
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In 2009, the world's largest pumpkin weighed 1,725 kilograms. An average-sized pumpkin weighs 5,000 grams.
The 2009 world-record pumpkin weighs _____ kilograms more than an average-sized pumpkin. (Write your answer as a numeral.)
Answer:
The 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.
Step-by-step explanation:
In 2009, the world's largest pumpkin weighed 1,725 kilograms.
An average-sized pumpkin weighs 5,000 grams.
As the answer is needed in kilograms, we will convert 5000 grams in kilograms.
1 gram = 0.001 kilogram
So, 5000 grams = [tex]5000\times0.001[/tex] =5 kilograms.
Difference between weigh = [tex]1725-5=1720[/tex] kilograms
So, the 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.
If the greatest integer function is called the floor function because it rounds any number down to the nearest integer, what would you presume about the ceiling function?
for example--
If -2 ≤x <-1 then value of function is -2
If -1 ≤x < 0 then value of function is -1
If 0 ≤x < 1 then value of function is 0
If 1 ≤x < 2 then value of function is 1
and so on.
Similarly the least integer function which is also known as a ceiling function rounds any number up to the nearest integer.for example--
If -2 < x ≤ -1 then value of function is -1
If -1 < x ≤ 0 then value of function is 0
If 0 < x ≤ 1 then value of function is 1
If 1 < x ≤ 2 then value of function is 2
and so on.
Which sentence best describes the independent and dependent variables in the following problems ?
If two or more points are____ they lie on the same plane.
A. Collinear
B. Rays
C. Segments
D. Complementary
If two or more points are collinear they lie on the same plane.
What are collinear points?Collinear points are points that lie on the same straight line. In other words, if three or more points are collinear, they can be connected by a straight line.
Collinear points are important in geometry and are used in many geometric proofs and constructions. The concept of collinearity is also used in other fields, such as physics and engineering, where it is used to describe the motion of objects along a straight line or to define the direction of forces acting on an object.
Given data ,
Let the points be represented as A , B and C
Now , when A , B and C are lying on the same line , we say the points are collinear or collinear points
So , If two or more points are collinear they lie on the same plane.
Hence , the collinear points are solved
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Stacey is selling tickets to the school play. the tickets are $6 for adults and $3 for children. she sells twice as many adult tickets as children's tickets and brings in a total of $360. how many of each kind of ticket did she sell?
Solve for x. -x + 4 = 32 x = -36 x = -28 x = 28 x = 36
Solve the inequality -24<×-3-8×
Help ME PLEASE
The table below represents ordered pairs of a function. Which change could be made so that the relation in the table is no longer a function
A) Replace (4,3) with (4,5)
B) Replace (-2,3) with (-2,-5)
C) Replace (6,4) with (7,3)
D) Replace (6,4) with (2,5
The area of greenland is 840,000 square miles. what is this number in scientific notation?
Final answer:
The area of Greenland in scientific notation is 8.4 x 10⁵ square miles.
Explanation:
The area of Greenland is 840,000 square miles. Writing this number in scientific notation involves expressing it as the product of a number between 1 and 10 and a power of 10.
To convert 840,000 to scientific notation, first identify the coefficient that is between 1 and 10. In this case, it is 8.4. Next, count how many places you move the decimal point to get from 840,000 to 8.4. You move the decimal five places to the left, so the exponent for 10 will be 5. Thus, the scientific notation for 840,000 is 8.4 × 10⁵.
Introduction to ordering decimals 0.86 and 0.88
9.40 and 9.4
9.3 and 9.04
Solve 1/3x^2 + 11x - 75 < 105
a. -45 < x < 12
b. -5 < x < 12
c. x < -45 or x > 12
What is 2^3 * 2^2
You don't have to show work
Prove n choose k equals (n choose k - 1) (n-k+1/k)
Please help ASAP!
If -3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27, Find the value of k. Show steps, please.
The value of k is 18, If -3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
-3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27
so,
We can just input the value of -3 into the equation to find value of k.
now, we get,
0=2(-3)^3 + 3(-3)^2 +3k -27
27= -54 +27 + 3k
27= -27 = 3k
27+27 = 3k
54/3 = k
18 =k
Hence, The value of k is 18, If -3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27.
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Solve the equation 3a - 2b + 7 = 4a + 10 for a. Then solve the equation for b. I need all the steps tho. Does anyone know it?
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
8 to 30
A - 4/15
B - 104/9
C - 104/13
D - 72/104
Pleaaase explain how you do it!
The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x + 5y > 80.
If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section?
Sydney must have answered at least
7
⇒ 8 questions correctly in the second section of the test.
In which group of statements is the conclusion not justified by the previous pair of statements?
A. All cooks work in the kitchen . Mary is a cook. Mary works in the kitchen.
B. All dinosaurs are extinct. A triceratops is a dinosaur. All triceratops are extinct.
C. All squares are rectangles. All rectangles are parallelogram. All squares are parallelograms.
D. All fish live in the water. Some snakes live in the water. Some snakes are fish.
Option D is not justified because living in water doesn't necessarily mean that the snakes are fish. This logical fallacy is known as the undistributed middle. Options A, B, and C present logically justified conclusions.
Explanation:The conclusion that is not justified by the previous pair of statements is found in option D: 'All fish live in the water. Some snakes live in the water. Some snakes are fish.' In this scenario, the fact that some snakes live in the water does not logically lead to the conclusion that those snakes are fish. This is because belonging to the category 'fish' is not determined simply by living in water. Therefore, the conclusion is not supported by the given premises.
In contrast, for options A, B, and C, the conclusions are logically justified by the premises:
A. All cooks work in the kitchen. Mary is a cook. Conclusion: Mary works in the kitchen.B. All dinosaurs are extinct. A triceratops is a dinosaur. Conclusion: All triceratops are extinct.C. All squares are rectangles. All rectangles are parallelograms. Conclusion: All squares are parallelograms.Each of these sets uses deductive reasoning to draw conclusions that are supported by the premises. However, option D is an example of a logical fallacy known as the undistributed middle, leading to an erroneous conclusion.
I need help!! can someone please help me
Answer:
D
Step-by-step explanation:
The missing step is to perform the inverse of a square root by squaring both sides of the equation. This means to multiply 18*18=324 and the square root expression leaving just the inside untouched. The correct step is D.
Answer:
answer is d
Step-by-step explanation:
Two angles are supplementary and have a ratio of 1:4. what is the size of the smaller angle
We have that for the Question "Two angles are supplementary and have a ratio of 1:4. what is the size of the smaller angle" it can be said that the size of the smaller angle is
x=36 degree
From the question we are told
Two angles are supplementary and have a ratio of 1:4. what is the size of the smaller angle
Generally the equation for "Two angles are supplementary" is mathematically given as
[tex]180=x+y\\\\Therefore\\\\x=\frac{1}{5}*180\\\\x=36[/tex]
Therefore
the size of the smaller angle is
x=36
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someone plz help! thx
Aisha is buying corn seed packs sold in boxes of 100. She has 400 packs, but she needs a total of 600
I don't know which one please help
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What’s the solution set of this problem?
Answer:
B (-∞, -21]
Step-by-step explanation:
edge
How to calculate variance of negative binomial distribution?
The distance between New York City, New York and Los Angeles, California is approximately 4485 kilometers. What is the distance between these two major cities in miles? Use the conversion equivalency of 1 mile = 1.609 kilometers and round to the nearest mile.
Answer:
The answer is 2788 miles.
Step-by-step explanation:
The distance between New York City, New York and Los Angeles, California is approximately 4485 kilometers.
The given conversion rate is:
1 mile = 1.609 kilometers
or 1.609 km = 1 mile.
So, 1 km = [tex]\frac{1}{1.609}[/tex] miles
And 4485 km = [tex]\frac{1}{1.609}*4485[/tex] miles
= 2787.45 miles.
In nearest miles we can round this to 2788 miles.
How many committes of 3 people can be formed from 7 people order does not matter?
if a triangle has one right angle then the other two angles are complementary