Answer:
u would have to label by urself I don't know how to put that here
Step-by-step explanation:
1. given
2. given
3. definition of bisector
4. ∠LNM≅∠ONP
5. ASA
6. LM≅OP
6. CPCTC
29. My grandson makes wall hangings by stitching
together 16 square patches of fabric into a 4 x 4
grid. I asked him to use patches of red, blue,
green and yellow, but to ensure that no patch
touches another of the same colour, not even di-
agonally.
The picture shows an attempt which fails only
because two yellow patches touch diagonally.
In how many different ways can my grandson
choose to arrange the coloured patches correctly?
9514 1404 393
Answer:
168
Step-by-step explanation:
Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:
{1, 2, 3, 4} ⇒ {green, blue, red, yellow}
Then the total number of possible correct colorings is 7·24 = 168.
__
These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.
_____
You'll notice that the last on the attached list most closely matches the one in the problem statement.
ggjfhghfhtdhdhdttjtjfj
97.5 is 159% of what number
Answer:
97.5 is 159% of 61.32
-------------------------------
Let the required number be n.
We are given that 97.5 is 159% of n.
It can be shown as equation:
159% of n = 97.5n*159/100 = 97.5n = 97.5*100/159n = 61.32To find:-
97.5 is 159% of what number.Answer:-
Let us suppose that there's a number " x " , whose 159% is 97.5 .
So we can create a equation as ,
159% of x = 97.5
Write 159% as fraction,
159/100 * x = 97.5
Multiply both sides by 100 ,
159x = 97.5 * 100
Divide both the sides by 159 ,
x = 97.5 * 100 / 159
Simplify,
x ≈ 61.32
Hence 97.5 is 159% of 61.32 .
and we are done!
Six identical urns are filled with marbles. The first urn has 99 blue marbles and 1 red marble. The second and third urns each have 6 blue marbles and 4 red marbles. The fourth, fifth, and sixth urns each have 1 blue marble and 1 red marble in each. (a) If we select an urn randomly and draw a marble, what is the probability it will be red (regardless of which urn we picked)? (b) It so happens that we draw a red marble. Use Bayes' rule to find the chance that we drew from each type of urn. (c) If we dump all the marbles into one urn and draw a marble, what is the probability it will be red? Should this be the same as the probability in part (a)?
The probability of drawing a red marble, regardless of the urn chosen, is: (1/6) * (1/100) + (1/6) * (2/5) + (1/6) * (2/5) + (1/6) * (1/2) + (1/6) * (1/2) + (1/6) * (1/2) = 7/30.
In the second part, Bayes' rule is used to determine the probability of drawing from each type of urn given that a red marble was drawn. Using the probabilities calculated earlier, we can apply Bayes' rule:
P(Urn 1|Red) = (P(Red|Urn 1) * P(Urn 1)) / P(Red)
P(Urn 2|Red) = (P(Red|Urn 2) * P(Urn 2)) / P(Red)
P(Urn 3|Red) = (P(Red|Urn 3) * P(Urn 3)) / P(Red)
P(Urn 4|Red) = (P(Red|Urn 4) * P(Urn 4)) / P(Red)
P(Urn 5|Red) = (P(Red|Urn 5) * P(Urn 5)) / P(Red)
P(Urn 6|Red) = (P(Red|Urn 6) * P(Urn 6)) / P(Red)
Substituting the known probabilities, we can calculate the chance of drawing from each type of urn given that a red marble was drawn.
In the last part, if all the marbles are combined into a single urn, the probability of drawing a red marble will be the sum of the red marbles divided by the total number of marbles. This probability can be calculated by adding the red marbles from each urn and dividing by the total number of marbles. However, the probability in part (a) is different from this because it considers the selection of each urn with equal likelihood, whereas in part (c), all marbles are combined into one urn.
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Which property is illustrated by the following statement? If AZXY= AFDE,
and AFDE= ACAB, then AZXY ACAB.
B
D
с
y
VA
A
E
F
A. Reflexive
B. Associsive
C. Transitive
D. Symmetric
Answer:
C. Transitive
The property is illustrated by ΔFDE ≅ ΔCAB and ΔZXY ≅ CAB is
Transitive property.
What is Transitive property?According to the transitive characteristic of congruence, "if two shapes are congruent to a third shape, then all the shapes are congruent to each other."
Thus, the transitive property of congruence is given as follows:
If ΔABC ≅ ΔPQR and ΔPQR ≅ ΔXYZ, then ΔABC ≅ ΔXYZ
We have,
ΔFDE ≅ ΔCAB and ΔZXY ≅ CAB.
Here, we can see that we have common triangle CAB.
If we know from Transitive property
If a = b and b = c then a = c.
So, here the Property used is Transitive property.
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maths help please!!!!!!
Answer:
VW = √2
Step-by-step explanation:
y = x+1
x²+y²+2x+2y+1=0 (x²+2x+1) + (y²+2y+1) = 1
(x+1)² + (y+1)² = 1 : Circle: (x-h)² + (y-k)² = r² Center (O): (h , k) = (-1 , -1) r = 1
solve for roots: x²+(x+1)²+2x+2(x+1)+1=0
2x² + 6x + 4 = 0 x²+3x+2=0
(x+1)(x+2)=0
x = -1 or x = -2
y = 0 or y = -1
V and W: (-1 , 0) and (-2 , -1) forms a 90° center angle
√vw = √1²+1² = √2
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
how to find rationalizing factor of
class 9
Answer:
\( \sqrt[5]{a^{3} b^{2}c}\)
Step-by-step explanation:
Rationalization factor of \( \sqrt[5]{a^2 b^3 c^4} \)
\( = \sqrt[5]{a^{5-2} b^{5-3}c^{5-4}}\\
= \sqrt[5]{a^{3} b^{2}c^{1}}\\
= \sqrt[5]{a^{3} b^{2}c}\\ \)
Which angle below is also greater than 90 degrees, but is closer to 90 degrees than the blue angle?
The red angle is also greater than 90 degrees but is closer to 90 degrees than the blue angle.
What is an angle?An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex. The rays are called the sides of the angle. Angles are typically measured in degrees or radians, and are denoted using the symbol "∠".
Here the blue angle is greater than 90 degrees, but we need to find an angle that is also greater than 90 degrees and closer to 90 degrees than the blue angle.
Since the blue angle is obtuse (greater than 90 degrees), we need to look for an acute angle (less than 90 degrees) that is closer to 90 degrees than the blue angle.
Looking at the figure, we can see that the red angle appears to be the closest to 90 degrees. The red angle is acute and seems to be closer to 90 degrees than the blue angle.
Therefore, the answer is the red angle.
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Solve for x. −6≥10−4x
x≤4
x≥−4
x≤−4
x≥4
Answer:
x≥4
Step-by-step explanation:
_6≥10+4x
group like terms
4x≥10+6
4x≥16
divide both side by 4
4x\4≥16\4
x≥4
The solution to the inequality is given as x ≥ 4. Then the correct option is D.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
−6 ≥ 10 − 4x
The solution to the inequality is given below.
−6 ≥ 10 − 4x
4x ≥ 10 + 6
4x ≥ 16
x ≥ 16 / 4
x ≥ 4
The solution to the inequality is given as x ≥ 4. Then the correct option is D.
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Use a system of linear equations with two variables and two equations to solve. 238 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.Passing Students: Failing Students:
Given:
Total number of students = 238
Let the number of passing students be x
We're given that 6 times the number of students passed as failed. Hence, the number of students:
\(=\text{ }\frac{x}{6}\)Hence, we can write:
\(\begin{gathered} x\text{ + }\frac{x}{6}\text{ = 238} \\ \frac{6x\text{ + x}}{6}\text{ = 238} \end{gathered}\)Solving for x:
\(\begin{gathered} \text{Cross}-\text{Multiply} \\ 7x\text{ = 238 }\times\text{ 6} \\ 7x\text{ = 1428} \\ \text{Divide both sides by 7} \\ x\text{ = 204} \end{gathered}\)Hence the number of passing students is 204 students
We can find the number of failing students by subtraction:
\(\begin{gathered} \text{Number of failing students = 238 - 204} \\ =\text{ 34} \end{gathered}\)Answer:
Passing students: 204
Failing students: 34
A vanilla cake ha a diameter of 8 inche. A chocolate cake ha a diameter of 10 inche. What i the area the top urface of the two cake?
Ue 3. 14 for p. Repone
vanilla cake=100. 48in2
and chocolate cake=314in2
vanilla cake=100. 48in quared and chocolate cake=314in quared
vanilla cake= 25. 12in2
and chocolate cake=62. 8in2
vanilla cake= 25. 12in quared and chocolate cake=62. 8in quared
vanilla cake= 50. 24in2
and chocolate cake=31. 5in2
vanilla cake= 50. 24in quared and chocolate cake=31. 5in quared
vanilla cake= 50. 24in2
and chocolate cake=78. 5in2
The area of the top surface of the d) Vanilla cake is 50.24 square inches and the Chocolate cake is 78.5 square inches.
The formula for the area of a circle is π times the radius squared. To find the top surface area of the cakes, we first need to find the radius of each cake by dividing the diameter by 2.
The radius of the vanilla cake is 4 inches and the radius of the chocolate cake is 5 inches. Then, we can use the formula: π times the radius squared to find the area of each cake. Using π = 3.14, we get:
Vanilla cake: π * 4^2 = 50.24 square inches
Chocolate cake: π * 5^2 = 78.5 square inches
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Complete question:
A vanilla cake has a diameter of 8 inches. A chocolate cake has a diameter of 10 inches. What is the area of the top surface of the two cake?
Ue 3. 14 for p. Repone
vanilla cake=100. 48in2
and chocolate cake=314in2
vanilla cake=100. 48in quared and chocolate cake=314in quared
vanilla cake= 25. 12in2
and chocolate cake=62. 8in2
vanilla cake= 25. 12in quared and chocolate cake=62. 8in quared
vanilla cake= 50. 24in2
and chocolate cake=31. 5in2
vanilla cake= 50. 24in quared and chocolate cake=31. 5in quared
vanilla cake= 50. 24in2
and chocolate cake=78. 5in2
twice a number less than 5
Answer:
2n≤5
Step-by-step explanation:
Answer:
2n < 5
Step-by-step explanation:
2 times a number has to be less than 5.
So assuming the number is n,
2n < 5
Please pick me as brainliest.
help me with this question
Step-by-step explanation:
just look at the graphic : what value do we have on the cost side, when we have 1 pounds on the amount side ?
all the answer options specify a price per pound. that is why we only need to focus on the price for one pound.
we see in the graphic, that for 1 pound the price is $4.
just to make sure, we can also work with the directly specified point (0.5, 2), which means that 0.5 pounds cost $2.
and the function is clearly a straight line.
so, every point on the function has the same y/x ratio (slope).
therefore,
2/0.5 = 4
now, what point with x=1 has the same ratio ?
y/1 = 4
y = $4
perfect, the results are identical. so, $4 per pound is the correct answer.
PLEASE HELPP
What are the two steps for solving an equation or inequality?
A. 1) combine like terms. 2) isolate the variable
B. 1) add the opposite. 2) multiply by the reciprocal.
C. 1) put the numbers together. 2) solve for x.
Answer:
A
Step-by-step explanation:
1) combine like terms. 2) isolate the variable
Answer:
1. Multiply by the reciprocal
2. Put the no. Together
Find an equation in slope-intercept form for the line: slope = 3/4 , y-intercept = -5
Three lakes lost water during a drought. Lake Jensen lost one sixth of its water, Lake Parlow lost 26% of its water, and Lake Stockton lost thirty three two hundredths of its water. Which lake lost the least amount of water?
Lake Jensen
Lake Parlow
Lake Stockton
All three lakes lost the same amount of water
Using equivalent decimals, the correct option regarding which lake lost the least amount of water is:
c. Lake Stockton
For a fraction, we have to divide the numerator by the denominator to find the equivalent decimal.
For a percentage, we just have to divide the percentage by 100%.
Hence, for the three lakes, the equivalent amounts are given by:
Lake Jensen: 1/6 = 0.1666
Lake Parlow: 26% = 26/100 = 0.26
Lake Stockton: 33/200 = 0.165
The smallest equivalent decimal is 0.165,
Hence Lake Stockton lost the least amount of water, and option C is correct.
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The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?
Answer:
150
Step-by-step explanation:
To figure out how far it turns in one hour divide 360 and 24= 15, now to find out how much it turns in 10 hours multiply 10x15=150
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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27x + 35y = -105
what is x and what is y
Answer:
x-intercept: -(\(\frac{35}{9}\),0)
y-intercept: (0,-3)
Step-by-step explanation:
Developers determine the specifics of how to build a system in the _____ phase.
a. analysis
b. design
c. implementation
d. testing
Developers determine the specifics of how to build a system in the design phase. b
The design phase and its importance:
Define Objectives:
The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.
The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:
During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.
This architectural design provides a high-level view of the system's organization.
Design System Components:
With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:
The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:
The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.
Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.
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Please help quick! Thanks!
Answer:
<
Step-by-step explanation:
8^2=64
64+9=73
73-3=70
8*8=64
64+24=88
88-16=72
70<72
x –12 = -8x + 6 a.x = 2 b.x = -2 c.x = 3 d.x = -3
Answer:
(a) x = 2
Step-by-step explanation:
x - 12 = -8x + 6
First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)
x - 12 + 8x = 6
x + 8x = 6 + 12
9x = 18
Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)
x = \(\frac{18}{9}\)
x = 2
Therefore, your answer is (a), since x = 2.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Assuming that birthdays are distributed equally throughout the week, what is the probability that two people that have never met passing each other on the street were both born on a Friday is
1/7 2/7 1/49 2/49 4/49
Probability of Two people was born on Friday = 1/49
What is the definition of probability?
Possibility of happening an event is called probability. It is given by the ratio of favorable outcome to the total possible outcome. Probability is different kinds such as independent probability, dependent probability, conditional probability and so on.
What is the probability that two people were born on a Friday?
Assume that birthdays are equally distributed throughout the week.
probability of one people having birthday on Friday = 1/ 7
probability of another people has birthday on Friday = 1/7
probability of two people was born on Friday = 1/7× 1/7 = 1/ 49
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how many times do 6x-4y=2 and -2y+3x=1
Answer:
Infinite Solutions
Step-by-step explanation:
If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.
Best of Luck!
20 POINTS HELP NEEDED ASAP
What is the base area of a cube of volume 125 cubic units?
Base area = ______ sq. units.
Answer: The base area of the cube is 25 square units.
Step-by-step explanation: A cube has six square faces, all of which are identical. The base area of a cube refers to the area of one of these square faces.
The formula for the volume of a cube is:
V = s^3
where V is the volume of the cube and s is the length of one side of the cube.
If we know the volume of the cube is 125 cubic units, we can solve for the side length:
125 = s^3
Taking the cube root of both sides, we get:
s = 5
Therefore, each side of the cube has a length of 5 units. The area of one of the square faces of the cube is:
A = s^2
A = 5^2
A = 25 square units
So the base area of the cube is 25 square units.
Answer:
25 square units.
Step-by-step explanation:
If a cube has a volume of 125 cubic units, then the edge length of the cube is the cube root of 125:
edge length = ∛125 = 5
Since all sides of a cube are equal, the base of the cube is a square with sides of length 5 units. The area of a square is calculated by multiplying the length of one side by itself:
base area = 5 × 5 = 25 sq. units.
Therefore, the base area of the given cube is 25 square units.
In 1999, schools in Massachusetts were given improvement goals. For each school, the Department of Education tabulated the difference in the average score achieved by students on standardized educational tests in 1999 and 2000. It was quickly noted that most of the worst- performing schools had met their goals, which the Department of Education took as confirmation of the soundness of their policies. However, it was also noted that many of the supposedly best schools in the state had failed to meet their goals. What is the statistical term that explains this situation? O Regression Line Equation OSD line O Regression Effect Simpson's Paradox
The statistical term that explains this situation is "Simpson's Paradox." Simpson's Paradox occurs when a trend or association observed in different groups or subsets of data reverses or disappears when the groups are combined.
In this case, the paradox is evident when looking at the performance of schools. Individually, the worst-performing schools met their improvement goals, while some of the supposedly best schools failed to meet their goals. However, when considering the data as a whole, the trend appears to be the opposite of what was observed in the separate groups.
Simpson's Paradox highlights the importance of carefully analyzing and interpreting data, especially when different groups or factors are involved.
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Given the following sequence of numbers find the recursive formula, and the appropriate sequence formula,(arithmetic or geometric) and find the next three numbers in the sequence.5, 9, 13, 17, 21,
We can say that it's an arithmetic sequence since it has a common rate of change or common difference of 4.
Arithmetic sequences are represented by the following formula:
Recursive formula:
\(\begin{gathered} a_n=a_{n-1}+d \\ \text{Explicit formula:} \\ a_n=a_1+(n-1)d \\ \text{The next three numbers would be: }a_6,a_7,a_8 \end{gathered}\)an= nth term
a1= 1st term
n= number of terms
d= common difference
\(\begin{gathered} a_6=5+(6-1)\cdot4 \\ a_6=25 \\ a_7=5+(7-1)\cdot4 \\ a_7=29_{} \\ a_8=5+(8-1)\cdot4_{} \\ a_8=33 \end{gathered}\)whats the answer to 2c + 9 = 27
Ans
c=9
Step-by-step explanation:
2 x 9 = 18 +9 = 27