Because the angles are vertical angles, the value of x is 1
How to determine the value of x?The angles are given as
A = 7x + 26
B = 4x + 29
The angles are vertical angles
So, we have
A = B
This gives
7x + 26 = 4x + 29
Evaluate the like terms
3x = 3
Divide by 3
x = 1
Hence, the value of x is 1
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draw angle EFG of size 42 degreees
Angle EFG is an angle with a measure of 42 degrees is drawn below.
Given that, angle EFG= 42 degrees.
Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.
Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.
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Work out the area of this circle.
Give your answer in terms of and state its units.
TC
14 cm
Answer:
49pi cm^2
Step-by-step explanation:
The area of a circle is pi(r)^2
To find our radius, we need to divide the diameter by 2.
14 / 2 = 7
Lets plug that into our equation:
pi(7)^2
Simplify:
pi(49)
rearrange:
49pi
WAIT, we need units!
49pi cm^2
~~~Harsha~~~
Please HELP ASAP
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on a certain object, the acceleration of the object is 5 /ms2. If the force is changed to 16 N, what will be the acceleration of the object? /ms2
Step-by-step explanation:
Since force doesn't depend on mass and varies directly, you can set up a proportion. group the F's together and the acceleration together, as so
\( \frac{20}{16} = \frac{5}{x} \)
Next, cross m multiply
\(20x = (16)(5)\)
\(20x = 80\)
Lastly, divide by 20
\(x = 4m {s}^{2} \)
The acceleration of the object when force is 16N is 4m/s².
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The force acting on the object varies directly with the object's acceleration.
Therefore, F ∝ a.
F = ka.
20 = 5k.
k = 4.
Now,
16 = 4a.
a = 4.
So, The acceleration is 4m/s²
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You are offered two stocks. The beta of A is 1.4 while the beta of B is 0.8. The growth rates of earnings and dividends are 10% and 5%, respectively. The dividend yields are 5% and 7%, respectively.
Since A offers higher potential growth, should it be purchased?
Investments- Individual Work 2 Page 3
Since B offers a higher dividend yield, should it be purchased?
If the risk-free rate of return were 7% and the return on the market is expected to be 14%, which of these stocks should be bought?
Answer:
a) Yes , Cause The Expected Returns of stock A is Higher than that of B
b) No, Cause The Expected Returns of stock B is Lower than that of A
Step-by-step explanation:
From the question we are told that:
Beta A \beta A=1.4
Beta B \beta B=0.8
Stock 1 Growth rates of earnings and dividends G_1=10\%
Stock 2 Growth rates of earnings and dividends G_2=5\%
Stock 1 Dividend yields D_1=5\%
Stock 2 Dividend yields D_2=7\%
Generally the equation for Expected Returns is mathematically given by
Expected Returns =Growth rates+Dividend yields
For Stock 1
Expected\ Returns =G_1+D_1
Expected\ Returns =5%+10%
Expected\ Returns =15%
For Stock 2
Expected\ Returns =G_2+D_2
Expected\ Returns =7%+5%
Expected\ Returns =12%
Therefore
a) Yes , Cause The Expected Returns of stock A is Higher than that of B
b) No, Cause The Expected Returns of stock B is Lower than that of A
An art class has 63 minutes of painting for every 54 minutes of instruction. What is the basic ratio of minutes of painting to minutes of instruction
The basic ratio of minutes of painting to minutes of instruction is 7 : 6
What is the basic ratio of minutes of painting to minutes of instructionFrom the question, we have the following parameters that can be used in our computation:
Painting = 63 minutes
Instruction = 54 minutes
The ratio can be represented as
Ratio = Painting : Instruction
When the given values are substituted in the above equation, we have the following equation
Painting : Instruction = 63 : 54
Simplify
Painting : Instruction = 21 : 18
Simplify
Painting : Instruction = 7 : 6
This ratio cannot be simplified
Hence, the solution is 7 : 6
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What transformation is represented by the function f(x)=2sin(x−π/2)
up 2
down 2
left π/2
right π/2
down π/2
Answer:
right π/2
Step-by-step explanation:
The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .
Therefore, the correct answer is right π/2
The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
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Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement comparing the two gas purchase.
Answer:
Ellie is gas.
Step-by-step explanation:
Inequality statement: Ellie is not equal to gas, yet she is all about gas.
PLEASE HELP!!!
The variables y and x have a proportional relationship, and y = 9 when x = 2.
What is the value of y when x = 3?
Enter your answer as a decimal in the box.
When value of x is given as 3 then according to the said proportional relationship y will be 13.15.
How can we explain it ?We are given that y and x have a proportional relationship, and y = 9 when x = 2. This means that there is a constant of proportionality, k, such that y = kx.
We can use the information given to find the value of k:
y = kx
9 = k(2)
k = 9/2
Now that we know the value of k, we can use it to find the value of y when x = 3:
y = kx
y = (9/2) * 3
y = 13.5
So the value of y when x = 3 is 13.5
What are ratios ?A ratio is a way of comparing two or more values or quantities. It is a mathematical expression that shows the relationship between different values, typically by using the symbol ":" to separate the values. For example, if we have three apples and two oranges, we can express the relationship between the apples and oranges as a ratio 3:2. Ratios can also be written as fractions, in this case the ratio 3:2 can be written as 3/2.
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At a carnival game there is a 38% probability of winning a prize what is the probability of not winning a prize
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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How do u solve this look at picture.
Answer:
3/4
Step-by-step explanation:
First, make the denominator of 1/2 equal to the denominator of 11/12. We know 2x6=12. So we must multiply the numerator of 1/2 (1) by 6. We would get the answer 6/12. We must now subtract the numerators. 11-6=5. That leaves us with 5/12+2/6. Now we must do the same to 2/6. 2x6=12. Then, 2x2=4. That leaves us with 5/12+4/12=9/12. Now to simplify, we must find a common divider. We know 9 can be divided by 3, and so can 12. 9/3=3. 12/3=4. Final answer is 3/4.
x + 4y = 9
-x - 2y = 3
Hope it helps :)
\(x + 4y = 9 \\
-x - 2y = 3 \\ eliminate \: one \: variable \: by \\ adding \: the \: equations \\ 2y = 12 \\ divide \: both \: sides \\ y = 6 \\ substitute \: the \: value \: of \: y \\ \: into \: equation \: ...2 \\ - x - 2(6) = 3 \\ solve \: the \: equation \\ - x - 12 = 3 \\ - x = 3 + 12 \\ - x = 15 \\ x = - 15 \\ SOLUTION \\ x = - 15 \\ y = 6 \\ Hope \: it \: helps :)\)
if you were conducting an upper tailed test where the level of significance was 0.05 and the population standard deviation was not known, then which of the following excel commands would give you the critical value? the sample size is 26.
The following excel commands would give you the critical value is T.INV(0.95,25)
What is excel commands?
The following describe the commands in Excel: They carry out tasks the same way users do. They can change Excel settings, open, close, and edit documents, start recalculations, and other actions that users may perform (within the bounds of the interface being utilized). Excel's command menu interface is called the Ribbon. It logically and visually groups together frequently used actions. These make up the Ribbon's principal components. Related groupings of commands are grouped together by tabs.
Population sd is not available so we have to use t test.
0.95 is for upper bound and 25 is df of t test.
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I have a circle that has a radius of 8 in. What is the circumference of the circle? What is the area of the circle? ( use 3.14 for pi).Explain your steps. Please Give A clear explanation The best answer gets brainliest.
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.
The area formula is A = πr² where A = Area, π = pi and r = radius. Again, we're solving for A and we know that r = 8 and π = 3.14 so A = 3.14 * 8² = 3.14 * 64 = 200.96 in².
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
MARK SNOG AS BRAINLIEST
For what values of a and b is x^64 + ax^b +25 a perfect square for all integer values of x?
For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)
To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.
A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.
Let's examine the given expression: \(x^64 + ax^b\) + 25
For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.
So we have:\(x^64 + ax^64 + 25\)
Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)
By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)
Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)
From the second equation, we know that k = 25.
Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)
To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.
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At summer camp, 40 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 16 Hiking 24 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 24 over 40. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40. The theoretical probability of swimming, P(swimming), is 16 over 24, but the experimental probability is one half. The theoretical probability of swimming, P(swimming), is 24 over 40, but the experimental probability is one half.
The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
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Use the distributive property to remove the parentheses. -3(4v-2y-6)
-12v+6y+18
you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18
i hope this helps :)
7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"
A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive
Answer:
D
Step-by-step explanation:
Answer:
It's B, Dark and gloomy
Have a great rest of your day!
Stay stay and healthy!
Happy holiday seasons!
May I please have brainliest?
Linear Equations
y-3=3/5(x-2)
a. One point we know is on this line is:
b: to graph the lines we would plot that point and then:
Answer:
6y=3/10(×2) that is my counting answer
If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,
the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages
Answer:
the sole proprietor is personally liable for damages the injured woman is awarded by the courts.
Step-by-step explanation:
What numbers add up to 3 but multiply 18
Answer:
the two numbers that add up to 3 but multiply to 18 are 6 and -3.
Step-by-step explanation:
We can start by using algebra to solve for the two numbers. Let x and y be the two numbers we are looking for. Then we can write two equations:
x + y = 3 (since the numbers add up to 3)
xy = 18 (since the numbers multiply to 18)
We can solve for one of the variables in terms of the other using the first equation. For example, we can solve for y:
y = 3 - x
Then we can substitute this expression for y into the second equation:
x(3 - x) = 18
Expanding the left side and simplifying, we get:
3x - x^2 = 18
Rearranging and factoring, we get:
x^2 - 3x + 18 = 0
(x - 3)(x - 6) = 0
Therefore, either x = 3 or x = 6. If x = 3, then y = 3 - x = 0, which doesn't work since we want two numbers that multiply to 18. So the two numbers are x = 6 and y = 3 - x = -3.
So the two numbers that add up to 3 but multiply to 18 are 6 and -3.
What postulate or theorem allows you to state that angle DEF is congruent to angle GHJ
Then you can state that angle DEF is congruent to angle GHJ.
The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.
This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.
In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and
you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.
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A tree grows at a rate of 1.2 centimeters per day. How many meters will it grow in 80 days?
Answer:
0.96meters
Step-by-step explanation:
1.2*80 = 96
96cm = 0.96meters
i dont understand how this question works so therefeore i dont know how to do it, can anyone help?
is simply changing from percentage form to a decimal form usually, but the fractional form works the same. Check the picture below.
Please help me w this hehehehehh
Answer:
-25x-45y, because if we have got + and -, so we will write minus.
A small acting club has 8 members. Two of the members are to be chosen for a trip to see a Broadway play. How many different 2 -member groups are possible?
The different 2-member groups that are possible is 28
How to determine the different 2 -member groups that are possibleFrom the question, we have
Total number of members, n = 8
Numbers to selection, r = 2
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 8 and r = 2
Substitute the known values in the above equation
Total = ⁸C₂
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 8!/(6! * 2!)
Evaluate
Total = 28
Hence, the number of ways is 28
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find the value of x. SIMPLEST RADICAL FORM
For given triangle, x is 4√5 using Pythagorean theorem.
What is Pythagorean Theorem?
Pythagoras Theorem (also known as Pythagorean Theorem) is a mathematical concept that explains the relationship between the sides of a right-angled triangle. The sides of a right triangle are also referred to as Pythagorean triples. This theorem's formula and proof are discussed with examples here.
The Pythagorean theorem is used to calculate the length of an unknown side and the angle of a triangle. We can deduce the base, perpendicular, and hypotenuse formulae from this theorem.
The Pythagoras Theorem formula is presented in the definition as:
Perpendicular² + Base² = Hypotenuse²
c² = a² + b²
Now,
Given that perpendicular =19
Hypotenuse=21
then Base²=21²-19² using Pythagoras theorem
Base=√441-361
=√80
=4√5
Hence,
x is 4√5
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solve -2 1/3 - (-5)
ANSWER PLZ
Answer:
Step-by-step explanation:
2.6666666667
Hosting a dinner party for 38 people, you plan to serve peach pie for desert.
Each pie has 8 slices.
How many slices are in each pie?
Answer:
40 slices
Step-by-step explanation:
I rounded 38 to 40 and divided by 8