Answer:
Step-by-step explanation:
Let x be the number of tickets sold before the tournament.
The number of tickets sold on the day of the tournament is x - 150 (since 150 fewer tickets were purchased on the day of the tournament than before the tournament)
The total number of tickets sold is the sum of the number sold before the tournament and on the day of the tournament.
x + (x - 150) = 898
Combining like terms:
2x = 1048
To find the number of tickets sold on the day of the tournament, we need to divide by 2:
x = 1048/2
x = 524
Therefore, 524 tickets were sold before the tournament and x - 150 = 524 - 150 = 374 tickets were sold on the day of the tournament.
Answer:
c its the answer jus did it on edge 2022
Step-by-step explanation:
How do you construct 1/3 of a segment?
To steps to construct a line segment that is 1/3 the length of the given segment is:
Draw a line segment CD of any length.
Fix the compass's end on C and pencil on D. This gives the length of CD.
Now divide the length of CD by 3. That is the 1/3 the length of CD.
Draw a line 1. Mark a point A on line 1. Change compass's setting into 1/3 the length of CD, place the compass at A.
Make an arc on the line l which cuts l at B. Now, AB is a copy of CD which is 1/3 the length of CD.
What is line segment?
A line segment is bounded by two definite points on a line. We also can say a line segment is part of the line which connects two points. A line has no endpoints and extends immensely in both the direction but a line segment has two fixed or distinct endpoints.
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an airplane flies 2300 km in 2 1/2 hours. what is its average speed in kilometers per hour?
Answer:
920km/hr
Step-by-step explanation:
speed=distance/time
distance= 2300km
time=2 1/2 hours
2300÷5/
2300× 2/5=
920km/
The average speed of an airplane is 920 Km/hr.
We know that,
The average speed of a plane is the distance covered by it in an hour.
average speed = total Distance covered/ total time taken
s = d/t
According to the question,
d = 2300 km.
t = 2.5 hrs.
speed (s) = d/t
= 2300 km/ 2.5 hrs.
= 920 km./hr.
Hence, the speed of the Airplane is 920 km/hr.
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If a coin is flipped four times, find the probability distribution for the number of heads. Listed below are four charts. Choosethe chart that best evaluates the data.a. Chart Ab, Chart Bc. Chart Cd. Chart D
If a coin is flipped four times, find the probability distribution for the number of heads. The correct option is (c) is Chart C.
In probability theory and statistics, a probability distribution is a mathematical function that gives the probability of occurrence of various possible outcomes of an experiment. This is a mathematical description of a random phenomenon in terms of sample space and event probabilities (a subset of the sample space).
For example, if X is used to denote the result of a coin toss ("experimental"), the probability distribution of X gives the value 0.5 (1 to 2 or 1/2) for X = table. and assume that: 0, 5 for X = tail (assuming the coin is fair). Examples of random phenomena are the weather conditions at a later date, the height of a randomly selected person, the proportion of boys in a school, or the results of a survey being conducted.
General Properties of Probability Distributions
Statisticians call variables that follow probability distributions random variables. The notation for a random variable that follows a particular probability distribution function is
X usually represents a random variable.
Tilde (~) indicates follow distribution.
Upper case indicates distribution. B. N for normal distribution.
Bracket contains the parameters of the distribution.
For example, X ~ N (µ, σ) represents a normally distributed distribution with population mean µ and standard deviation σ. The distribution of IQ scores is represented as X ~ N (100, 15).
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marcus is testing a hair sample from the telogen stage. what is likely to be true about this sample?
When Marcus tests a hair sample from the telogen stage. The result likely to be true about this sample is there will be a nuclear DNA present.
DNA (Deoxyribonucleic acid) is a polymer comprised of two polynucleotide chains that loop around each other to form a double helix having genetic instructions for the development, functioning, growth and reproduction of all known organisms and many viruses. DNA and ribonucleic acid both are nucleic acids.
Moreover, DNA is the information molecule. It holds the instructions for creating other large molecules, called proteins. These instructions are kept inside each of our cells, distributed among 46 long structures called chromosomes.
Hence, DNA is made of chemical structures called nucleotides. These structures are made of three parts: a sugar group, a phosphate group, and one of four types of nitrogen bases.
Hence the correct option is c.
--The given question is incomplete, the complete question is
''Marcus is testing a hair sample from the telogen stage. What is likely to be TRUE about this sample?
A. There will be several medullas present.
B. There will be mitochondrial DNA present.
C. There will be nuclear DNA present.
D. There will be very little DNA present."--
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Please help meee step by step
Answer: 36.5 miles
Step-by-step explanation:
It looks like you have the right idea! You simply need to divide the 438 miles by the 12 days to find the miles traveled per day. This results in 438 / 12 = 36.5
What is the name of a grassroots group that has focused on women’s suffrage and civil rights?
Answer:
The National American Woman Suffrage Association (NAWSA) was an organization formed on February 18, 1890, to advocate in favor of women's suffrage in the United States.
(Have a nice day)
Pls Answer ASAP!
The following problem shows an expression in exponential notation. The missing powers of 10 are represented by letters.
Type the powers into the boxes that correspond to each letter. Use a slash (/) to show a fraction. Use a caret (^) before an exponent.
61.32 = 6 x A + 1 x B + 3 x C + 2 x D
The powers that correspond to each letter are given as follows:
A = 1.B = 0.C = -1.D = -2.How to obtain the powers that correspond to each letter?The number for this problem is defined as follows:
61.32.
Before obtaining the powers that correspond to each letter, we need to obtain the integer and decimal parts, as follows:
Integer: 61.Decimal: 32.Then the digits are classified as follows:
Digit 1 is the unit digit, hence the power of 10 is 0, which is the value of B.Digit 6 is the tens digit, hence the power of 10 is 1, which is the value of A.Digit 3 is the tenths digit, hence the power of 10 is -1, which is the value of C.Digit 2 is the hundredths digit, hence the power of 10 is -2, which is the value of D.More can be learned about integer and decimal parts at https://brainly.com/question/1827193
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Need help. Use each given circle O. Find the indicated measures
Step-by-step explanation:
1.
central (arc) angle is twice the inscribed angle (at the arc).
127° = 2A
angle A = 127/2 = 63.5°
2.
the full circle are 360°.
127° are arc angle CT, that leaves
360 - 127 = 233° for the arc angle C A T.
3.
the central angle at O opposite of the indicated 96° angle is (due to the rules of intersecting lines) also 96°.
the triangle M-O-A is an isoceles triangle (because both legs are a radius of the circle).
that makes angles A and M equally sized.
as the sum of all angles in a triangle is always 180°,
angle A = angle M = (180 - 96)/2 = 84/2 = 42°
4. see 3.
5.
the sum of all angles around one point on one side of a line is also always 180° (they represent a half-circle).
so, the top and the bottom angle at O are supplementary to the 96° angle (together they have 180°).
so, each is 180 - 96 = 84°
that means
arc angle M N A = 84 + 96 + 84 = 264°
6.
arc angle A F = 95°
arc angle A N = 103°
therefore, arc angle F N = 360 - 103 - 95 = 162°
as explained in 1.
angle A = arc angle F N/2 = 162/2 = 81°
7.
the triangles J-E-N and J-A-N have the same inscribed angle at the arc.
angle A = angle E (I cannot read the number at E).
8.
arc angle J A N + arc angle JN = 360
arc angle J N = 2× angle E
arc angle J A N = 360 - 2× angle E (again the number there is unreadable to me).
9.
again the inscribed angle at the arc is half of the opposite arc angle.
angle Y = arc angle T A / 2 = 70/2 = 35°.
10.
we have the arc angles S Y (134°) and T A (70°).
the 2 missing arc angles to make the whole circle are equally large due to T S and A T being equally long.
so,
arc angle S T = (360 - 134 - 70)/2 = 156/2 = 78°
Find the value of x in the
following parallelogram:
11
2x-1
x = [?]
7
ANSWER:
x = 4
STEP BY STEP EXPLANATION:
See attachment for complete question
From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.
Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:
2x - 1= 72x−1=7
Add 1 to both sides
2x - 1 + 1 = 7 + 12x−1+1=7+1
2x = 82x=8
Divide through by 2
x =4
a company has developed a wristband for monitoring blood sugar levels without requiring direct blood samples. it is interested in demonstrating the accuracy of the device. what should the company do first?
Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample selected group of individuals from the neighborhood at random times throughout the day.
what is random sample?selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.
Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample selected group of individuals from the neighborhood at random times throughout the day.
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Graph g(x)=4cosx .
Use 3.14 for π .
Use the sine tool to graph the function. Graph the function by plotting two points. The first point must be on the midline and closest to the origin. The second point must be a maximum or minimum value on the graph closest to the first point.
Answer: The graph of g(x) = 4cosx is a horizontal dilation of the graph of y = cosx by a factor of 4.
To graph the function, we can use the following two points:
(0, 4) which is the point on the midline closest to the origin
(3.14/2, 0) which is the maximum point closest to the first point
We can then use these points to plot the graph of g(x) = 4cosx using the sine tool. It will be horizontal shifted of the graph of y = cos(x) by a factor of 4.
Step-by-step explanation:
If the complement of an angle is one-third of its supplement, find the angle
Answer: 45°
Step-by-step explanation:
Let the angle be x and its complement be y
Also,
Complement = 1/3 × Supplement
So,
Supplement = 3 × Complement
= 3y
According to Question:
I. x + y = 90° -----(1)
II. x + 3y = 180° -----(2)
On subtracting eq (1) from (2) we get
2y=90°
y=45°
Now, From eq (1)
x + y = 90°
x = 90° - 45°
x = 45°
∴ The angle is 45°
Find the remaining zeros of f
Degree 4; zeros: 8i, 6, -6
The reaming zeros of f are ?
Answer:
- 8i
Step-by-step explanation:
the Fundamental theorem of algebra states that
A polynomial of degree n has n roots, some may be complex
• Complex roots occur as conjugate pairs
For this polynomial of degree 4, there are 4 zeros
given 8i , 6 , - 6 , then the fourth root is the conjugate of 8i , that is - 8i
Roxy is planning to move to Fort Lauderdale, Florida, and work as a nurse. She has one dog and no children. She uses public transportation and plans to rent an apartment when she moves. The new company she’ll work for pays employees bimonthly, which means twice a month. In this activity, you’ll help Roxy make a budget.
Part A
Roxy decides that she wants to set a financial goal of saving for an emergency fund. Write about some of the ways Roxy could make her financial goal a SMART goal.
Roxy can make her goal SMART by deciding an attainable amount of money, diving the total of money in paymets and using the money for emergencies only.
What is SMART?This is a technique to plan and achieve goals based on 5 characteristics:
S = Specific, which means the goal should not be too general.M = Measurable, which means you can measure your progress.A = Attainable or realistic.R = Relevant, which means achieving the goal has a positive impact.T = Time-based, which means it can be achieved in a specific period of time.How can Roxy make her goal SMART?S= Decide the amount of money for the saving fund, for example, $5000.M = Check month to month the amount of money she has saved.A = Divide the total in payments that fit her expenses.R = Make sure she will used the money only for emergencies.T = Complete the goal after 6 months.Learn more about money in: https://brainly.com/question/14253896
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Pls helpppp!
What’s 4,807.50 plus 22%
Answer: 5865.15
Step-by-step explanation:
If M (2, 1) and N (8, 1) are two of the vertices of a rectangle, which of the following cannot be another of the vertices?
1. (2, 8)
2. (8, 2)
3. (2, -8)
4. (-2, 8)
5. (8, 8)
Answer:
It can't be (-2,8) as u can't join (2,1) and (8,1) with (-2,8) without it ruining the rectangle.
I need some help over here
The measure of angle ∠WDY is 89° in problem 20.
What is angle?Two rays (half-lines) that share an endpoint make up an angle. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.
Two angles are said to be congruent by this definition if either of their vertex and side coordinates can be rigidly moved to coincide with the other. The angle may be written as AOB or BOA if O is the vertex and A and B are the points on the two sides (and this for any selection of the two points A and B.)
Given that D is the common point of line segments DW, DX and DY
m∠WDX = 2x - 5
m∠XDY = 52
m∠WDY = 5x - 16
to find m∠WDY
m∠WDY = m∠XDY + m∠WDX
5x - 16 = 52 + 2x - 5
5x - 2x = 52 - 5 + 16
3x = 63
x = 63/3
x = 21
m∠WDY = 5(21) - 16
m∠WDY = 89
Thus, the measure of angle ∠WDY is 89° in problem 20.
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Can absolute value be less than zero?
The absolute value of a number can never be less than zero, because the graph has a minimum value of 0 and is never negative, never below the x-axis.
If the absolute value is less than zero, there is no solution.
If the absolute value is less than or equal to zero, there is one solution.
If the absolute value is greater than zero, the solution is all real numbers
except for the value which makes it equal to zero, this will be written as a union.
The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin of a number line or coordinate system.
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Which group of players in the game of economics both produces and uses goods and services?
Responses
workers
producers
producers
distributors
distributors
consumers
Which is the purpose of a budget?
Responses
finding the lowest prices for goods and services
finding the lowest prices for goods and services
conserving on scarce natural resources
conserving on scarce natural resources
weighing the information needed to make rational decisions
weighing the information needed to make rational decisions
keeping their expenses below their income
Why are some people more committed to saving for retirement than other people?
Responses
Some people don't think they'll need to retire.
Some people don't think they'll need to retire.
Not everyone will need money in order to survive during retirement.
Not everyone will need money in order to survive during retirement.
Many people move from one job to another many times before retiring.
Many people move from one job to another many times before retiring.
Different people look at future risks differently.
Which best describes the purpose of advertising?
Responses
transmit product messages to an audience
transmit product messages to an audience
increase subscription prices
increase subscription prices
generate high-quality content
generate high-quality content
balance programming schedules
Which type of business is most likely to use the bricks-and-clicks business model?
Responses
newspapers
newspapers
construction companies
construction companies
grocery stores
grocery stores
clothing sellers
What is a business model that a company follows?
Responses
held files
held files
business plan
business plan,
corporate charter
1. The group of players in the game of economics both produces and uses goods and services are producers and consumers
2. The purpose of a budget is keeping their expenses below their income
3. Some people are more committed to saving for retirement than other people because different people look at future risks differently.
4. The sentence that best describes the purpose of advertising is transmit product messages to an audience
5. The type of business that is most likely to use the bricks-and-clicks business model are: newspapers, grocery stores, and clothing sellers
6. The business model that a company follows is a business plan
What is a business model?A business model is a plan that outlines how a company intends to generate revenue and make a profit. It lays out the company's value proposition, target market, marketing and sales strategies, and the structure of the company's operations and finances. Examples of business models include subscription-based models, advertising-based models, and product-based models.
Therefore, the correct answers are as given above
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Find the area of a rhombus, to the nearest square centimeters, whose diagonals have a length of 40 centimeters and 26 centimeters
Given the
Diagonal length 1 (d1) =40cm
diagonal length 2 (d2) =26cm
area of rhombus,
= 1/2 (d1 × d2)
=1/2 (40×26)
=520[tex]cm^2[/tex]
Hence the area of the rhombus whose diagonals are 40 centimeters and 26 centimeters comes out to be 520[tex]cm^{2}[/tex].
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a positive integer divisor of $11!$ is chosen at random. what is the probability that this divisor is prime? express your answer as a common fraction.
The probability of a randomly chosen divisor of [tex]$11!$[/tex] being prime is [tex]$\frac{32}{3^{2}\cdot2^{10}} = \frac{1}{243}$[/tex].
COMMON FRACTION EXPRESSIONThe prime factorization of [tex]$11!$[/tex] is 11!=[tex]11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1$[/tex], so there are [tex]$(2+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1) = (3^{2})(2^{10})$[/tex] divisors of [tex]$11!$[/tex]
The prime divisors of [tex]$11!$[/tex] are [tex]$2,3,5,7,11$[/tex], and there are [tex]$(1+1)(1+1)(1+1)(1+1)(1+1) = 2^{5} = 32$[/tex] divisors that are prime.
So the probability of a randomly chosen divisor of [tex]$11!$[/tex] being prime is [tex]$\frac{32}{3^{2}\cdot2^{10}} = \frac{1}{243}$$[/tex]
A common fraction is a way of representing a ratio of two integers, where the numerator (the top part) represents the number of "favorable outcomes" and the denominator (the bottom part) represents the total number of possible outcomes.
In this case, the favorable outcome is a randomly chosen divisor of 11! being prime, and the total number of possible outcomes is the total number of divisors of 11! which is[tex]$(3^{2} )(2^{10})$[/tex]. So the probability of a randomly chosen divisor of 11! being prime can be represented as a common fraction by writing [tex]$\frac{32}{3^{2} \cdot2^{10}}$[/tex], with 32 as the numerator and [tex]$(3^{2})(2^{10})$[/tex] as the denominator.
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i-Ready
An employee records the number of minutes it takes each team to complete the escape room
this week. The dot plot shows the data.
Understand Statistical Questions - Quiz - Level F
What is the range of the data set?
? minutes
K
+
Escape Room
40 41 42 43 44 45 46 47 48 49 50
Time to Complete (min)
i did 21
for thre firdse then ib did 9
during a recent apple picking at the farm. 169 granny smith and 95 golden delicious apples were picked. how many apple pies and batches of applesauce can be made if every apple is used.
Given that each pie requires 6-8 apples, and each batch of applesauce requires 8 apples, it is possible to make approximately 22 apple pies and 24 batches of applesauce from the 264 apples that were picked.
What is number?Number in math is a symbol or group of symbols used to represent a numerical quantity. Numbers include both rational numbers, such as integers, fractions, and decimals, and irrational numbers, such as pi and e. The use of numbers in mathematics allows us to represent many different types of mathematical objects, such as sets, functions, and equations. Numbers also have numerous applications in everyday life, such as in finance, engineering, and science.
This would leave 4 apples leftover. It is important to note that the exact number of pies and batches of applesauce that can be made will depend on the size of the apples. If smaller apples are used, more pies and batches of applesauce could be made.
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2 red and 2 overlapping balls in the center are surrounded by a green, fuzzy, circular cloud with a white line running through it. 2 green balls sit on the white line, and a line leading a bracket around the balls is labeled A. A line leading to a bracket overlapping the white line is labeled B.Identify the parts of the atom that are labeled in the diagram.
They describe a model of an atom with two protons, two neutrons, electron density (orbitals), and two electrons. Now suppose we want to know what the labels A and B stand for.
The nucleus is at the center where the protons and neutrons are arranged. This is supported by his three models: the Rutherford model, the Bohr model and the (now accepted) quantum model.
So the red sphere and the two overlapping spheres in the middle represent protons and neutrons.
The line labeled A with the sphere in brackets represents the nucleus, as it signals both protons and neutrons within the nucleus.
The green blurry circular clouds represent the regions where electrons reside. This is blurry according to the quantum model, which states that the electrons are not in a fixed position, but in the region around the atom. This area is called the trajectory. According to the model, the electron's exact position cannot be determined, which means a blurry cloud.
This white line, which in Bohr's model should be circular where the electrons are, represents the electron orbits and shells identified by the letters L, M, N, and K. The first shell was the L shell.
In the quantum model, this line corresponds to the principal quantum number n (principal energy level). Therefore, the lines leading to brackets overlapping the white lines indicate the main energy levels.
Atoms are neutral because they contain as many electrons as protons around the nucleus.
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Answer:
A: nucleus
B: electron cloud
Step-by-step explanation:
How do you solve a system of equations by elimination infinitely many solutions?
The system of equations can have an infinite number of solutions when the equations are equivalent.
A system of equations can have infinitely many solutions when the equations are equivalent, meaning that the equations are identical when one is subtracted from the other. When this happens, the system of equations is said to have an infinite number of solutions. To solve a system of equations by elimination with infinitely many solutions, the equations must first be rearranged so that the same variable terms are on one side and the constant terms are on the other. Then, the coefficients of one variable must be made equal by multiplying one or both equations by a constant. After this, the equations can be added together or subtracted from one another and the variable terms will cancel out. This will result in an equation with only the constant terms, which is equivalent to 0=0. This equation is true for all values of the variables, so the system of equations has an infinite number of solutions.
The system of equations can have an infinite number of solutions when the equations are equivalent. To solve the system of equations by elimination with infinitely many solutions, the equations must first be rearranged, the coefficients of one variable must be made equal, and the equations can be added or subtracted so that the variable terms cancel out. This will result in an equation equivalent to 0=0, meaning that the system of equations has an infinite number of solutions.
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Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an? Why? O a n converges if and only if an < 2bn. Oman converges by the Comparison Test. O an diverges by the Comparison Test. We cannot say anything about an. o a n converges if and only if an 5 4bn. (b) If an
Nothing that we can say regarding an we are unsure of whether the terms of an are rising or falling, a passes the Comparison Test and sequence, Since bn, an also converges.
what is a sequence?A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.
We are unable to comment on an.
This is due to the fact that bn converges, causing a to exceed bn, and as a result, we are unable to determine whether the terms of an are increasing or decreasing.
What can you say about an if a bn for all n? a passes the Comparison Test and converges.
This is due to the fact that since bn converges and a converges since bn, we may infer that the terms of an are likewise decreasing and that an also sequence since bn based on the comparison test.
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what is the probability that their total completion time in the maze for all rats is between 6 and 8 minutes
The probability that their total completion time in the maze for all rats is between 6 and 8 minutes is 0.375, or 37.5%.
The probability that their total completion time in the maze for all rats is between 6 and 8 minutes can be calculated using the Binomial Distribution formula. The formula is P = (nCr) * (p^r) * (1-p)^(n-r), where n is the number of trials, r is the number of successes, and p is the probability of success.
In this case, n = 4 (4 rats), r = 2 (completion time between 6 and 8 minutes), and p = 0.5 (50% chance of success). Therefore, P = (4C2) * (0.5^2) * (1-0.5)^(4-2) = 0.375.
This means that the probability that their total completion time in the maze for all rats is between 6 and 8 minutes is 0.375, or 37.5%.
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In August, Billy Quinlin deposited a total of $724 into his checking account.
He wrote $585.27 in checks, had a service charge of $29.00 and earned
$10.00 in interest. If his current balance is 239.46, what was his previous
balance?
The previous balance in the account is equivalent to $68.303.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that in August, Billy Quinlin deposited a total of $724 into his checking account. He wrote $585.27 in checks, had a service charge of $29.00 and earned $10.00 in interest. If his current balance is 239.46.
Assume that the initial cost was ${x}. So the total cost after depositing $724, the total amount will be ${x + 724}.
Total amount withdrawn = $585.27 + $29 = $614.27
Amount earned after interest -
10% of 614.27
(10/100) x 614.27
$61.427
Now, we can write -
{x + 724} - {614.27} + {61.427} = {239.46}
{x + 724} + {61.427} = {239.46 + 614.27}
x + 785.427 = 853.73
x = 853.73 - 785.427
x = 68.303
Therefore, the previous balance in the account is equivalent to $68.303.
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Solve using substitution y=-4x+1 y=6x-9
Answer:
x = 1
y = -3
(1,-3)
Step-by-step explanation:
Set the 2 equations equal to each other and solve for x
-4x + 1 = 6x - 9 Add 4x from both sides
-4x + 4x + 1 = 6x + 4x -9
1 = 10x - 9 Add 9 to both sides
1 + 9 = 10x - 9 + 9
10 = 10x Divide both sides by 10
[tex]\frac{10}{10}[/tex] = [tex]\frac{10x}{10}[/tex]
1 = x
substitute 1 for x in either of the two original equations to solve for y
y = -4x + 1
y = -4(1) + 1
y = -4 + 1
y = -3
Check
y = -4x + 1
-3 = -4(1) + 1
-3 = -4 + 1
-3 = -3 Checks
y = 6x - 9
-3 = 6(1) - 9
-3 = 6 - 9
-3 = -3 Checks
If the measure of ∠4 = 55°, then the measure of ∠2
Step-by-step explanation:
∠4=55
or, ∠=55/4 or,∠=13.75
∠2=?
or, ∠2=13.75*2
or,∠2=27.5
