1) given
2) corresponding angle theorem
3) vertical angle theorem
4) transitive
2 questions standard algorithm division WRITE ON PAPER OR USE DIGITAL NOTEPAD
50 POINTS
lol its easy 2 questions
Answer:
Step-by-step explanation:
There will be 4 floats in a parade. the parade organizers are trying to determine the order in which the floats should appear. how many different orders are possible?
Using permutation, there are a total of 24 different orders possible.
If there are a total of 4 floats in a parade then the number of possible orders = 4!
If we further calculate it we will get,
4 x 3 x 2 x 1 = 24
So there are a total of 24 possible orders in which the floats should appear.
The concept used here is the number of arrangements and the technical term used for it in mathematics is a permutation. A permutation is a mathematical calculation that involves finding the number of ways a particular set can be arranged.
To learn more about permutation visit:
https://brainly.com/question/1216161
#SPJ4
For which value of x is 12/x not a rational number
0
0.1
2
-1/2
Because we can't divide by zero, the correct option is x = 0.
For which value of x the quotient is not a rational number?
Here we have the quotient:
12/x
We want to find a value of x such that it is not a rational number, where a rational number is any number that can be written as the quotient of two integers.
Here is a trick, remember that we can't divide by 0, so if we choose x = 0, technically we can't take the quotient, so in that case we wouldn't have a rational number.
Learn more about rational numbers:
https://brainly.com/question/12088221
#SPJ1
Which relation is also a function?
Answer:
answer is D prettyy sure
geometry, is this correct?
Answer:
I think this is correct.
Step-by-step explanation:
Mrs. Jenkins gave her class the function f(x)=(x-5)(x+1). Four students made a claim about the function. Each student's claim is below.
• Annie: The x-intercepts are (5,0) and (1,0)
•Jacob: The y-intercept is at (-5,0)
• Neil: The vertex is at (2, -9)
•Zoey: The midpoint between the x-intercepts is at (-2,0)
Which student's claim about the function is correct?
The only student with the correct claim about the given quadratic equation is; Neil: The vertex is at (2, -9)
How to identify the features of a quadratic function?We are given the quadratic function;
f(x) = (x - 5)(x + 1)
1) The x-intercepts of the quadratic function are simply the roots of the quadratic function. Now, the roots are at; (5, 0) and (-1, 0). Thus, Annie's claim is not correct.
2) The y-intercept is the point at which x = 0. Thus;
f(0) = (0 - 5)(0 + 1)
f(0) = -5
y-intercept is at; (0, -5)
Thus, Jacob is wrong.
3) The x-coordinate of the vertex is;
x = -b/2a
The equation is; x² - 4x - 5
Vertex = -(-4)/(2 * 1) = 2
y-coordinate is;
y = 2² - 4(2) - 5
y = -9
Thus, Jacob is correct
4) Zoey is incorrect because she didn't properly find the midpoint of the x-intercepts.
Read more about Quadratic functions at; https://brainly.com/question/26627449
#SPJ1
Jake, Aliya and Lucy each vegetable patch. Jake's vegetable patch has a m², of h. Aliya's vegetable patch has a m², of 3h + 7. Lucy's vegetable patch has a m², of 5h. In total, their vegetable patch an area greater than 79 Write and solve an inequality possible values of h
The most appropriate choice for Linear Inequation and area will be given by-
value of h > 8.
What is Linear Inequation and area?
Linear Inequation involves comparision between two values with the help of <, >, [tex]\leq[/tex], [tex]\geq[/tex].
Area of a 2D shape is the total space taken by that shape.
Here ,
Area of vegetable patch of Jake = [tex]h[/tex] [tex]m^{2}[/tex]
Area of vegetable patch of Aliya = ([tex]3h + 7[/tex]) [tex]m^{2}[/tex]
Area of vegetable patch of Lucy = [tex]5h[/tex] [tex]m^{2}[/tex]
Total area of vegetable patch of Jake, Aliya and Lucy
= [tex](h + 3h+7+5h)[/tex] [tex]m^{2}[/tex]
= [tex](9h+7)[/tex] [tex]m^{2}[/tex]
By the problem,
[tex]9h + 7 > 79\\9h > 79 - 7\\9h > 72\\h > \frac{72}{9}\\ h > 8[/tex]
To learn more about area and linear inequation, refer to the link:
https://brainly.com/question/25799000
#SPJ9
(extra credit) suppose you have a well-balanced "super coin" with three sides or outcomes equally likely: head, middle, and tail. (the super coin is a die with opposite faces showing head, middle, and tail) you tossed this super coin two times.
Possible outcomes are Head, Middle, and Tail.
Since all outcomes are equally likely, the probability of each event is same, therefore
P(Head) = P(Middle) = P(Tail)
= 1/3
P(B|A) is 1/3
P(C|A) is 2/3
A and B are independent
A and C are not independent
Part a
Finding the sample space, S
S = { (HH), (HM), (HT), (MH), (MM), (MT), (TH), (TM), (TT) }
Part b
Finding P(B|A) and P(C|A):
n(B and A) = no. of outcomes in which the first toss is Middle and second toss is Tail = 1
n(A) = Total no. of events in which the first toss is Middle = 3
Therefore, P(B|A) = 1/3
n(C and A) = no. of outcomes in which the first toss is Middle and total no. of heads is zero = 2
n(A) = Total no. of events in which the first toss is Middle = 3
Therefore, P(C|A) = 2/3
Part c
Finding if A and B are independent, or if A and C are independent
Two events A and B are said to be independent when the occurrence of one event does not affect the occurrence of the other event and vice versa. In case of independent events,
P(A) = P(first toss is Middle) = 3/9 =1/3
P(B) = P(second toss is Tail) = 3/9 = 1/3
P(A and B) = P(first toss is Middle and second toss is Tail) = 1/9
P(A)*P(B) = (1/3)*(1/3)
= 1/9 = P(A and B)
Hence, we can say that events A and B are independent.
For A and C, we have,
P(A) = P(first toss is Middle) = 3/9
P(C) = P(total no. of Heads is 0) = 4/9
P(A and C) = P(first toss is Middle and total no. of heads is 0) = 2/9
P(A)*P(C) = (3/9)*(4/9)
= 4/27 P(A and C)
Hence, events A and C are not independent.
The question was incomplete, the complete question is:
(Extra Credit) Suppose you have a well-balanced "super coin" with three sides or outcomes equally likely: Head, Middle, and Tail. (the super coin is a die with opposite faces showing Head, Middle, and Tail) You tossed this super coin two times
a) Describe the sample space using the notation HM for example, if the results are Head first, and Middle second.
Let;
A = event the first toss is Middle,
B = event the second toss is Tail, and
C = event the total number of Heads is 0.
b) Find
P(B|A)
P(C|A)
c) Are A and B independent? YES, NO, Why?
Learn more about probabilities here:
https://brainly.com/question/25163406
#SPJ4
find the indicated probability. in one town, 72% of adults have health insurance. what is the probability that 7 adults selected at random from the town all have health insurance?
13y-5=9y+27
What is y?
Answer:
y=8
Step-by-step explanation:
3x-5y=11 if x equals -1,0,1
Answer:
x = 5.33333333333
Step-by-step explanation:
3x-5=11
+5 +5
3x= 16
3 3
u need to separate the 3x
so u use the opposite operation on - 5
add +5 on both sides
-5 plus 5 cancel each other
add 11 to 5 and that is 16
bring them down and divide both by 3
and ur 3 cancel each other,
now divide 16 by 3
and u get x = 5.33333333333
The properties that characterize a square based pyramid that includes the faces,edges and vertices
Answer:
A square pyramid is composed of an eight-sided square base, four triangular sides, five vertices, and five vertices. This pyramid has a square base with a peak at the top. The fact that a square pyramid is a polyhedron was noted.
Step-by-step explanation:
The three-dimensional geometric shape of a square pyramid has a square base and four triangular sides that are joined at the vertex. Five facets make up its polyhedron shape (pentahedron). Four triangles joined at the vertex and a square base make up a square pyramid. Three sides, a square base, and a central vertex characterize the triangle side faces. The tallest point of the pyramid is known as its "apex." The base is represented by the bottom square. Faces are the three triangular vertices of the triangle. When viewed from the bottom up, a pentahedron is a five-sided, three-dimensional shape that resembles a square pyramid.
Find f (g (x)) for the functions f (x) = x+2 and g (x) = x²
Answer:
f(g(x) ) = x² + 2
Step-by-step explanation:
to find f(g(x) ) substitute x = g(x) into f(x)
f(g(x) )
= f(x²)
= x² + 2
Please answer the questions
The numeric values for the given functions are as follows:
1. g(-4) = -21.
2. f(-1) = 3.
How to find the numeric value of a function or of an expression?To find the numeric value of a function at input x = a, we replace each instance of the variable x in the function by the desired value of a.
For item 1, function g(x) is defined as follows:
g(x) = -x² - 5.
We want to find the numeric value at x = -4, hence the lone instance of x is replaced by -4 as is shown below:
g(-4) = -(-4)² - 5 = -16 - 5 = -21.
Hence g(-4) = -21 is the numeric value.
For item 2, the function f(x) is given as follows:
f(x) = -3(1 - x - 3x²).
To find the numeric value at x = -1, both instances of x have their values replaced by -1, hence the numeric value will be given as follows:
f(-1) = -3(1 - (-1) - 3(-1)²) = -3(1 + 1 - 3) = 3.
More can be learned about the numeric values of a function at brainly.com/question/28367050
#SPJ1
tienes una urna con "x" esferas. ¿cuales de la expresión algebraica de la extracción de 3 esferas?
porfaaaaa
Si definimos N como el nuevo número de esferas en la urna, entonces la expresión algebraica será:
N = x - 3.
¿Cual es la expresión algebraica para la extracción de 3 esferas?Sabemos que tenemos una urna con x esferas, donde x representa un numero entero.
Sabemos que 3 esferas se extraen de la urna, es decir, el número total de esferas en la urna decrese en 3 unidades.
Entonces podemos escribir la expresión algebraica como:
N = x - 3
Donde definimos N como el nuevo número de esferas en la urna.
Sí quieres aprender más sobre expresiones algebraicas:
https://brainly.com/question/4344214
#SPJ1
Compare problems 1 and 2. What similarities do you see? What differences do you
notice?
(Algebra/geometry terms)
In the picture there are 2 problems. The similarity is they two have to find 2 question. The difference is given question are different.
Given that,
In the picture there are 2 problems.
We have to find the difference and similarities of question in the picture.
The similarities are they 2 are word problems.
Another similarity is they two have to find 2 question.
1. How much money for 10 days and How many days to collect the money $1.05?
2.How much gallon of water need for 50 minutes and How much time take to fill the pool?
Another similarity is they two have to justified the answer in a mathematical model.
Now,
The difference is,
First question has given sisters and money problem where as the second has given pool and gallon water problem.
To learn more about similarity visit: https://brainly.com/question/26451866
#SPJ1
Write an equation that represents the line.
Use exact numbers.
[tex]\displaystyle\\Answer:\ \frac{7}{5}x +\frac{34}{5}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\(-7,-3)\ \ \ \ (-2,4)\\\\\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} \\\\x_1=-7\ \ \ \ \ x_2=-2\ \ \ \ y_1=-3\ \ \ \ \ y_2=4\\\\\frac{x-(-7)}{-2-(-7)} =\frac{y-(-3)}{4-(-3)}\\\\\frac{x+7}{-2+7}=\frac{y+3}{4+3} \\\\\frac{x+7}{5} =\frac{y+3}{7} \\\\[/tex]
Multiply both parts of the equation by 7:
[tex]\displaystyle\\7(\frac{x+7}{5} )=y+3\\\\7(\frac{1}{5} x+\frac{7}{5} )=y+3\\\\\frac{7}{5}x +\frac{49}{5} =y+3\\\\\frac{7}{5}x +\frac{49}{5} -3=y+3-3\\\\\frac{7}{5}x +\frac{49}{5}-3=y\\\\\frac{7}{5}x +\frac{49-3(5)}{5} =y\\\\\frac{7}{5}x +\frac{49-15}{5} =y\\\\\frac{7}{5}x +\frac{34}{5} =y\\\\So,\ y=\frac{7}{5}x +\frac{34}{5}[/tex]
Area of the shaded part
In the picture, there is a square and a shaded region inside the square. The shaded portion has a 13.76 square meter area.
Given that,
In the picture, there is a square and a shaded region inside the square.
We have to find the shaded portion area.
The side of the square is 8cm.
Now,
First we see the unshaded region on the square is there are 4 unshaded regions.
In the figure u can see there is a unshaded region we named that has tile 1, tile2, tile 3, and tile 4.
If we restock them we can see that we got a circle with that 4 tiles.
Now, the side is 8 cm then the 1 tile will be of 4 cm.
So, the radius of the circle is 4 cm.
In the other picture we can see that the area of the shaded region is equal to area of square- area of circle.
Area of the shaded region =s²-πr²
Area of the shaded region =8²-π(4)²
Area of the shaded region =64-π(16)
Area of the shaded region =64-16π
Area of the shaded region =64-16(3.14)
Area of the shaded region =64-50.24
Area of the shaded region =13.76
Therefore, The shaded portion has a 13.76 square metre area.
To learn more about area visit: https://brainly.com/question/27683633
#SPJ9
What is the least common multiple of 32, 48, and 16?
The least common multiple of 32, 48, and 16 is 96
How to calculate the least common multiple ?The first step is to get the prime factors of each number
The prime factors of 32 are 2, 2, 2, 2 and 2.
The prime factors of 48 are 2, 2, 2, 2 and 3
The prime factors of 16 are 2,2,2 and 2
The least common multiple of 32, 48 and 16 can be calculated as follows
2 × 2 × 2 × 2 × 2 × 3
= 32 × 3
= 96
Hence the least common multiple of 32, 48, and 16 is 96
Read more on least common multiple here
https://brainly.com/question/284493
#SPJ1
-23x² + x² - 6x + 10 + 2x²
Step-by-step explanation:
what do you need to do ?
the only thing we can do here without any further information is simplification if the expression:
-23x² + x² - 6x + 10 + 2x²
now we group ask the terms of the same variable exponents :
-23x² + x² + 2x² - 6x + 10
-20x² -6x + 10
we could do
2×(-10x² - 3x + 5)
but I personally don't find this more simplified that the previous form.
Find the distance between each pair of points
Answer:
7.071068 ≈ 7.07
Step-by-step explanation:
The distance, d, between 2 points (x1, y1) and (x2, y2) is given by the formula
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
The two points as determined from the graph are (1, 5) and (2, -2)
[tex]d = \sqrt {(2 - 1)^2 + (-2 - 5)^2}[/tex]
[tex]d = \sqrt {(1)^2 + (-7)^2}[/tex]
[tex]d = \sqrt {{1} + {49}}[/tex]
[tex]d = \sqrt {50}[/tex]
[tex]d = 7.071068[/tex]
Which factor do 9x2 + 24x + 16 and 9x2 - 16 have in common?
O 3x-4
0 3x + 16
O 3x + 4
9x²
Answer:
3x + 4
.................
The factor 3x + 4 have common in both the given expressions.
What is common factor?A whole number that is a factor of two or more numbers is referred to as a common factor. The largest factor that will divide into two or more numbers is known as the highest common factor (HCF). The smallest multiple shared by two or more numbers is known as the lowest common multiple (LCM).
The given expressions are,
[tex]9x^2 + 24x + 16, 9x^2 - 16[/tex]
The expression [tex]9x^2 + 24x + 16[/tex] is of the form [tex](a + b)^2[/tex]
where [tex]a = 3x , b = 4[/tex]
Therefore, [tex]9x^2 + 24x + 16 = (3x + 4)^2.[/tex]
The expression [tex]9x^2 - 16[/tex] is of the form [tex]a^2 - b^2[/tex].
It can be written as, [tex]a^2 - b^2 = (a - b)(a + b)[/tex]
Here, [tex]a = 3x , b = 4[/tex]
Therefore,
[tex]9x^2 - 16 = (3x - 4)(3x + 4)[/tex]
So, in both the expressions the factor (3x + 4) is common.
To know more about the common factor, click on the link
https://brainly.com/question/219464
#SPJ2
a + 1/4 = -6
Please help explain it to me I just want to understand it. I learned it today.
Answer: a = 6 and 1/4
Step-by-step explanation:
you subtract the 1/4 to the other side and theres your answer
5/8 divided by 2 1/10
Answer:
0.29761904761
Step-by-step explanation:
Brainlest, Please!
Answer:
25/84
Step-by-step explanation:
1. 2 1/10 is mixed number fraction so convert it into an improper fraction.
~ Multiply whole number and denominator and add the numerator of 1
~ Improper fraction: 21/10
2. So, new equation is (5/8) / (21/10)
3. Use the Keep, Change, Flip method:
~ Keep the 5/8
~ Change division to multiplication
~ Flip the improper fraction to 10/21
4. Solve the equation:
~ (5/8) x (10/21) = 50/ 168
5. Reduce fraction:
~ By 2
~ 25/84
A soccer team played 24 games and won 16.
What is the ratio of the number of wins to the number of losses?
Answer: 8:16
24(games)-16(wins)=8. 8=the losses
Step-by-step explanation:
The radius of a sphere is 14 cm. The cost of
painting the surface of sphere is ₹25 per
square cm. If the radius of sphere is increased
by 10%, then the cost of painting is increased
by 20%. What is the percentage increase in
the total cost of painting per square cm?
(a) 54.27%
(b) 20.3%
(d) 45.2%
(c) 2.58%
The total cost of painting per cm will be 45.2% i.e. option(d).
Total cost of painting = Rate × Surface area of sphere
We know the radius is increases by 10%.
Thus, the Surface area will change by 21%
using formula a + b + (a × b)/ 100
The total change in cost of painting will be
= 20+21 +(20x21)/100
= 45.2%.
What is surface area?
The total area of all faces (or surfaces) on a 3D form is the surface area. For example:
There are six rectangular faces of a cuboid.
Add the areas of each of the cuboid's six faces to determine its surface area.
To learn more about linear equations visit:
https://brainly.com/question/2030026
#SPJ9
The moon is 2.4 x 10^5 miles from earth. Venus is 1.59 x 10^8 miles from the earth. How much further, in miles, is Venus than the moon from earth.
The Venus is at a distance of [tex]1.5876 * 10^8[/tex] further away from the earth than the moon
We have given that
The Distance of moon from the earth(in miles)= a= [tex]2.4 * 10^5[/tex] miles
The Distance of venus from the earth(in miles)= b = [tex]1.59 * 10^8[/tex] miles
What is distance?The distance between two objects that are not points is usually defined to be the smallest distance among pairs of points from the two objects.
Now,
Let the distance from which venus is further away from the earth than the moon be x
So, x = b - a
x = [tex]1.59 * 10^8-2.4 * 10^5[/tex]
x = [tex]1590 * 10^5 - 2.4*10^5[/tex]
x = [tex](1590 - 2.4)*10^5[/tex]
x = [tex]1587.6*10^5[/tex]
x = [tex]1.5876 * 10^8[/tex]
Therefore, venus is at a distance of [tex]1.5876 * 10^8[/tex] further away from the earth than the moon.
Learn more about distance here
https://brainly.com/question/15172156
#SPJ1
Which statement explains why one source is the most reliable? The Squawkbook post is the most reliable source because ConcernedCitizen was at the meeting. The Local Reader article is the most reliable source because it shows a photograph of the lots. The Squawkbook post is the most reliable source because it provides the author’s opinion of the council. The Local Reader article is the most reliable source because the author offers a neutral reporting of facts.
HELP PLEASE
The statement that explains why one source is the most reliable is D. The Local Reader article is the most reliable source because the author offers a neutral reporting of facts.
What are reliable sources?Reliable sources are necessary for reliable information. A trustworthy source will offer a "complete, well-reasoned hypothesis, argument, etc. based on substantial evidence," according to UGA Libraries.
Scholarly, peer-reviewed articles and books are examples of widely regarded sources. trade publications, professional books, etc.
It should be noted that a reliable source should be based in facts and should not be biased.
Therefore, the correct option is D.
Learn more about source on:
https://brainly.com/question/3099782
#SPJ1
solve for x
9x + 11
10x + 5
Answer: top: x= 2 bottom: x= -5
Step-by-step explanation: First you need to get rid of everything on the x side, so for example on the top one you would do 9-9 to get 0 so that x is by itself and then you also have to 11-9 because whatever you do to one side you have to do to the other. And then 11-9=2 so you are left with x= 2.
help, please! 25 points! :)
The properties of the function are:
Its shape is an absolute functionIt has a domain of all real valuesIt has a range of real values greater than or equal to 0Vertex at (0, 0)How to make a table of values for the following equationThe absolute value equation of the function is given as
y = |x|
On the incomplete table of values, we do not have any x values
So, we can make use of any x value
To do this, we make use of the following x values
x = -3, -1, 0, 1 and 3
Next, we substitute x = -3, -1, 0, 1 and 3 in the equation y = |x|
So, we have:
y = |-3| = 3
y = |-1| = 1
y = |0| = 0
y = |1| = 1
y = |3| = 3
When represented on a table of values, we have
x | y
-3 | 3
-1 | 1
0 | 0
1 | 1
3 | 3
How to make the graph the equationNext, we plot the graph of the absolute value equation
See attachment for the graph of the absolute value equation
From the graph of the absolute value equation, we have the following properties:
Domain: All set of real valuesRange: All set of real values greater than or equal to 0Vertex: (0, 0)Shape: Absolute value equationRead more about absolute value equation at
brainly.com/question/17795998
#SPJ1