Answers
The value of x for the given parallel line d || e is x = 20.
What is defined by the term linear pair?Linear pairs of angles are generated when two lines intersect at a single point. If the angles formed are adjacent to one another after the two lines intersect, the angles are referred to as linear. When two angles form a linear pair, their measures add up to 180°. As a result, a linear pair of angles everytime sum to 180°.From the given question;
The lines d || e.
Thus, both sum of both angles will be 180 by linear pair.
2x - 3 + 7x + 3 = 180
Solving;
9x = 180
x = 20
Thus, the value of x obtained for the given parallel lines is 20.
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Related Questions
Y-intercept 9 and slop -2
Answers
The equation of the line that has the given features is y = -1/3x - 4
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?From the question, the given parameters are
Slope, m = -2
y-intercept, c = 9
As a general rule:
A linear equation is represented as
y = slope * x + y-intercept
This can be rewritten as
y = mx + c
Next, we substitute the known values in the above equation
So, we have the following equation
y = -2x + 9
The above equation cannot be further simplified
So, we have
y = -2x + 9
However, it can also be expressed as
y = 9 - 2x
Hence. the linear equation is y = -1/3x - 4
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Possible question
What is the equation of a linear equation that has the following features
Y-intercept 9 and slop -2
A computer repair shop charges a flat fee of $10.95 and then $24.90 per hour.
A customer paid $147.90 for computer repairs.
How many hours did the shop work on the customer's computer?
Enter your answer as a decimal in the box.
Answers
Shop work on the customer's computer for 5.5 hours.
Given,
Charge is flat fee of $ 10.95
and, then $24.50 per hour.
And, to find the number of hours if customer paid $147.90.
Now, According to the question:
Let shop work on computer for x hours .
Then, Amount paid = 10.95 + 24.90x
So, if customer paid $147.90
then, 147.90 = 10.95 + 24.90x
24.90x = 147.90 - 10.95
24.90x = 136.95
x = 136.95/ 24.90
x = 5.5
Hence, Shop work on the customer's computer for 5.5 hours.
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can someone help me
Write the verbal sentence as an equation or an inequality:
Four is greater than six times a number t.
Answers
Answer:
I hope this helps. Four is greater than six times a number t in inequality form is 4 › 6 * t
Consider the function
y = 2x.
Complete the table of points for
x = −2, −1, 0, 1, 2.
Find the exact y-values.
Answers
The table representing the exact values of y from the function is attached below.
In mathematics, a function from a set X to a set Y assigns each element of X exactly one element of Y. The sets X and Y are referred to as the function's domain and codomain, respectively.
Functions were initially the idealisation of how a changing quantity depends on another quantity, and they can be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. A planet's position, for instance, depends on time. The idea of a function was developed historically at the end of the 17th century with the infinitesimal calculus function, and until the 19th century, the functions that were taken into consideration were differentiable (that is, they could be divided into two parts).The given function is of the form y = 2x .
Now let us find the respective values of y for the given values of x.
At x = -2
y = 2x = 2 × (-2) = -4
At x = -1
y = 2x = 2 × (-1) = -2
At x = 0
y = 2x = 2 × (0) = 0
At x = 1
y = 2x = 2 × (1) = 2
At x = -2
y = 2x = 2 × (2) = 4
Therefore the table to represent this y-values of the function is [tex]\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}[/tex][tex]\begin{table}[]\begin{tabular}{ll} & \\ & \\ & \\ & \\ & \end{tabular}\end{table}[/tex]attached below.
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Please help I’ll mark you as brainliest if correct!!
Answers
Set A ={q, g, c, z, b}
What is a Venn diagram?
A Venn diagram is a popular diagram type for displaying the logical relationship between sets. Venn diagrams display all potential relationships between the sets by having all of the curves overlap in every way.Simple closed curves depicted on a plane are used in Venn diagrams to illustrate sets. These curves resemble circles or ellipses quite frequently.What is a roaster form?
Roster notation is a straightforward way to represent a set in mathematical form. Within the curly brackets of the roster form, the components of a set are listed in a row. If the set has more than one element, a comma is used to denote the separation of every pair of elements in a roster notation. Because the enumeration is done one by one, the roster form is also known as an enumeration notation.For example : A ={q, g, c, z, b}To learn more about Venn diagrams, refer:
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Please help I’ll mark you as brainliest if correct!
Answers
a) quotient = 23 and remainder = 14
b) quotient = 28 and remainder = 12.
c) quotient = 20 and remainder = 10.
a) Here in the first question we have to divide 405 by 17.
405 is not completely divisible by 17.
So when we divide 405 by 17 we get 23 as quotient and 14 as remainder.
we can cross check this by the formula;
Dividend= Divisor × Quotient + Remainder.
So in here the dividend is 405 and the divisor is 17 which when multiplied by the quotient 23 and added by the remainder that is 14 gives us 405.
Thus quotient = 23 and remainder = 14
b) Here dividend = 656 and divisor = 23
Thus when we divide 656 by 23 we get:
we get quotient as 28 and remainder as 12.
c) Given dividend is 1990 and divisor is 98.
Thus we divide 1990 by 98 we get:
Quotient = 20 and remainder = 10.
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A Short answer Question
Answers
Using multiplication of matrices, it is found that the values of a and b are given as follows:
a = 4.b = 6.How does multiplication of matrices work?To multiply matrices, we multiply the rows of the first matrix by the columns of the second matrix.
Hence, the element of the row 1 and column 1 of the product matrix is given by the multiplication of the row 1 of the first matrix by the column 1 of the second matrix, then:
3(-1) -2(2) + a(3) = 5
-3 - 4 + 3a = 5
3a = 12
a = 4.
The element of the row 2 and column 2 of the product matrix is given by the multiplication of the row 2 of the first matrix by the column 2 of the second matrix, then:
4(3) - 1(b) + 2(-2) = 2
12 - b - 4 = 2
8 - b = 2
b = 8 - 2
b = 6.
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C
-
ZA and ZB are vertical angles. If mA = (2x +26)° and m/B = (3x − 29)
then find the measure of ZA.
Answers
The measure of the vertically opposite angle ∠A = 136°
What is defined as the vertically opposite angle?When two lines intersect at a point, vertical angles are formed. They are always on equal footing. In other words, four angles are formed only when two lines pass or intersect. We can see that two opposite angles are equal, and these are regarded to as vertical angles. They are also identified as'vertically opposite angles' due to their being perpendicular to each other.From the given question;
∠A and ∠B are vertical angles.
Thus, ∠A = ∠B
The values are given as;
∠A = (2x +26)°
∠B = (3x − 29)°
Equating both;
(2x +26)° = (3x − 29)°
Simplyfying;
2x + 26 = 3x − 29
3x - 2x = 26 + 29
x = 55
Put the value of x in ∠A = (2x +26)°
∠A = (2x +26)° = 2x55 +26
∠A = 136°
Thus, the measure of the vertical angle ∠A = 136°.
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Evaluate the expression when c=-3 and x=3 and x-2c
Answers
⇒Plug in places the given values in the expression x-2c and simplify
given that x=3 and c =-3
⇒[tex]=(3)-2(-3)\\=3+6\\=9[/tex]
The expression evaluated at the given variables is equal to 9.
Suppose the heights of adult American males are normally distributed with a mean of 66.9 inches and a standard deviation of 4.33. What would be the upper boundary, in inches, of a symmetric, centered interval that contained all the sample averages (from samples of size 167) that are within 0.92 standard deviation units of the mean? Round to the nearest hundredth.
Answers
Using the normal distribution, the upper boundary, in inches, of a symmetric and centered interval of the sample averages with n = 167 that are within 0.92 standard deviation s of the mean is of:
67.21 inches.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Considering samples of 167, with the mean and standard deviation of the population given in the problem, the parameters are given as follows:
[tex]\mu = 66.9, \sigma = 4.33, n = 167, s = \frac{4.33}{\sqrt{167}} = 0.335[/tex]
The desired height is X when Z = 0.92, because it is 0.92 standard deviations from the mean and we want the upper limit, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
0.92 = (X - 66.9)/0.335
X - 66.9 = 0.92 x 0.335
X = 67.21 inches.
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URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
Answers
Answer:
A: Reflection over the y-axis
B: Translation 3 right
C: Translation 4 down
D: Reflection over the x-axis
Step-by-step explanation:
A: This is a reflection over the y axis because we can tell it has been flipped to the other side, vertically.
B: Count the spaces between the two 'P's, getting 3 to the right. This is not a reflection because it is facing the same way.
C: Count the spaces between the two 'P's, getting 4 down. Again, this is not a reflection because it is facing the same way.
D. This is a reflection over the x axis because we can tell it has been flipped to the other side, horizontally.
Hope it helps!
I need help with this question
Answers
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Explain the graph of the solution?We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found.
Any two ordered pairs can be used to create a solution set on a graph by connecting them with a straight line. Thus, any point along this graphed line would be included in the solution set.
There is only one solution that holds true for both equations if the equations' graphs cross. There are no solutions that hold for both equations if the equations' graphs do not meet (for instance, if they are parallel).
The answer for this graph is -4.
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n-13-25 OR 2 +9n > -43
Need help asap
Answers
Answer:
261
Step-by-step explanation:
2(3/4L-1) + 2(18) = 2L + 2(12)
Answers
2(3/4L-1) + 2(18) = 2L + 2(12)
Distribute
3/2 L -2 +36 = 2L +24
Subtract 3/2 L from each side
-3/2 L-3/2L
-2+36 = 4/2L-3/2L +24
34 = 1/2L +24
Subtract 24 from each side
34-24 = 1/2 L +24-24
10 = 1/2L
Multiply each side by 2
10*2 =1/2L * 2
20 = L
Which correctly shows the title of a movie?
"In an Old House"
In an Old House
Answers
Answer:
The answer to your question is A "In an Old House" I hope this helps
Sorry if I am wrong
Answer: It would be "In an Old House"
Step-by-step explanation:
a company has learned that by pricing a newly-released toy at 6 Stars sales will reach 2,000 per day raising the price to $8 will cause the sales to fall thousand per day assume the ratio of change in price to change in daily sales is constant and let X be the price of the toy and Y be the number of sales.find the linear equation that models the price sales relationship for this toy. use this equation to predict the daily sales of the toy if the price is set at $6.50
Answers
Ek, this is the solution:
Step 1: Let's review the information provided to us to answer the problem correctly.
Sales of the new toy = 2,000 per day
Price of the toy when sales are 2,000 per day = $ 6
Ther
F (x) = x+1
——
x+8
F-1(-7) =
Answers
The value of [tex]f^{-1}(-7)[/tex] is given by -57/8.
Given that:-
f(x) = (x + 1)/(x + 8)
We have to find the value of [tex]f^{-1}(-7)[/tex].
Let f(x) = y
Hence,
[tex]f^{-1}(y) = x[/tex]
Now, we will find the inverse of the given function.
Hence, we can write,
y = (x + 1)/(x + 8)
We can rewrite it as:-
y = (x + 8 - 7)/(x + 8) = (x + 8)/(x + 8) - 7/(x + 8) = 1 - 7/(x + 8).
1 - y = 7/(x + 8)
x + 8 = 7/(1 - y)
x = 7/(1 - y) - 8
x = 7/(1 - y) - 8(1 - y)/(1 - y)
x = (7 - 8(1 - y))/(1 - y)
x = (7 - 8 + 8y)/(1 - y)
[tex]f^{-1}(y) = \frac{(8y - 1)}{( 1 - y)}[/tex]
Replacing y with x in the above equation, we can write,
[tex]f^{-1}(x) = \frac{(8x - 1)}{( 1 - x)}[/tex]
The above equation is the inverse of the function.
Putting x = -7 in the above equation, we get,
[tex]f^{-1}(-7) = \frac{(8(-7) - 1)}{( 1 - (-7))}[/tex]
= (-56 - 1)/ (1 + 7) = - 57/8
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Please help! 8th grade pre-algebra math question
Answers
Answer:
a) 16
Step-by-step explanation:
[tex]x^{2} =(-4)^{2} =(-4)(-4)=16[/tex]
Hope this helps
Let f(x) represent a function.
Which descriptions match the given transformations?
Answers
The interpretation of the transformation of the given functions are;
f([tex]x + \frac{1}{4}[/tex]) means translated by 1/4 units to the left.
f(x) + 1/4 means that f(x) is translated by 1/4 units upwards
How to Interpret Function Transformations?There are different ways of function transformations such as translation, reflection, dilation, compression e.t.c
Now, the function written can be said to translated by 1/4 units to the left . This is because when we translate a function by say "a" units to the left, we are simply going to add a units to the x - variable.
To translate a graph upwards, it simply means we will add the number of units to the function; for example, f (x) + 3 moves the graph of the function f (x) upward by 3 units.
Thus, the given function f(x) + 1/4 means f(x) is translated by 1/4 units upwards
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Simplify fully 12(x - 2)² /6(x-2)(x + 5) 4
Answers
2x−4
Alternative Form
2−
x+5
14
Explanation:
Evaluate
6(x−2)(x+5)
12(x−2)
2
Multiply the terms
(x−2)(x+5)×6
12(x−2)
2
Factor the expression
(x+5)(6x−12)
(2x−4)(6x−12)
Solution
x+5
2x−4
Alternative Form
2−
x+5
14
3. In a video game for
every 5 levels you pass,
you earn 4 points. If you
earned 20 points, how
many levels would you
have passed?
Answers
Answer:
If you have earned 20 points, this means you have passed 25 levels.
Step-by-step explanation:
25 = 5 (20/4)
Which equation represents the graphed function?
a. y=-3x + 3
b. y = 3x3
c. y = 3x -
d.y=-x+3
Answers
(-1, 2), slope = 2 slope intercept form
Answers
Answer:
Slope-intercept form is given as y = mx + c where m is the slope and c is the y-intercept.
Since slope = 2, equation is y = 2x + c.
Substitute (-1,2) into the equation to find c.
2 = 2(-1) + c
c = 4
Hence, equation is y = 2x + 4
Which of the following is the same as the equation x + 5y = 4x - 3y ?
a) 3x = 2y b) 3x=8y c) 5x = 2y (d) 6x=y
Answers
Answer:
b
Step-by-step explanation:
x + 5y = 4x - 3y ( subtract 4x from both sides )
- 3x + 5y = - 3y ( subtract 5y from both sides )
- 3x = - 8y ( multiply both sides by - 1 )
3x = 8y → b
-1.4 repeating as a fraction in simplest form
Answers
1.4 repeating as a simple fraction is 13/9
Simple fraction is a fraction with whole number as the numerator and denominator. The top term is called numerator and the bottom term is called denominator.
Decimal number is a number that consist of one whole number and a fractional part and those are separated by a decimal point
The repeating decimal = 1.4444
Consider the value x = 1.4444
Then multiply 10 on both side of the equation
We get
10x = 14.444
Subtract x from the 10x
10x-x = 14.444-1.4444
Subtract the like terms in the equation
9x = 13
Move 9 to the right hand side
x = 13/9
Hence, 1.4 repeating as a simple fraction is 13/9
The complete question is
1.4 repeating as a fraction in simplest form
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Use the [tex]lim_{x-0} \frac{sinx}{x}=1[/tex] to determine [tex]lim_{x-0} \frac{xcos5x}{sin5x}[/tex].
Answers
Rewrite the limit as
[tex]\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = \lim_{x\to0} \frac{5x}{\sin(5x)} \cdot \lim_{x\to0} \frac{\cos(5x)}5[/tex]
Then using the known limit,
[tex]\displaystyle \lim_{x\to0} \frac{\sin(x)}x = 1 \implies \frac1{\lim\limits_{x\to0}\frac{\sin(x)}x} = \lim_{x\to0}\frac x{\sin(x)}=1[/tex]
it follows that
[tex]\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = 1 \cdot \frac{\cos(0)}5 = \boxed{\frac15}[/tex]
Solve for x.
4(3x - 5) = 6x-2
Answers
Answer:
x = 3
Pls, choose me as brainliest!
29) Tom solved the equation 6x-2(15-2x) = 10 and checked his solution as shown below
6x - 30- 4x = 10
6 (20) - 30-4 (20) = 10
120-30-80 = 10
90-80 = 10
10 = 10
Do you agree or disagree with his check? Explain.
Answers
Step by step
6x -2 (15 - 2x) = 10
Their first mistake is in their distributive multiplication (-4x) should be (+4x) as below
6x -30 + 4x = 10
6 (20) -30 +4 (20) = 10
120 -30 +80 = 10
90 + 80 = 10
170 = 10 does not equal, it not a solution
Solve
6x -2 (15 - 2x) = 10
6x -30 + 4x = 10
10x -30 = 10
10x = 10 + 30
10x = 40
x = 4
Check your work
6x -2 (15 - 2x) = 10
Substitute 4 in for x
6x -2 (15 - 2x) = 10
6(4) -30 +4(4) = 10
24 - 30 + 16 = 10
10 = 10
X = 4 is a solution
Problem solved
Apollo Spas services 298 hot tubs. If each hot tub needs 175 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Answers
In a case whereby Apollo Spas services 298 hot tubs and each hot tub needs 175 mL of muriatic acid,number of liters of acid that are needed for all of the hot tubs is 52.15 litres.
What is unit conversion?The unit conversion can be described as the changing of bone unit to another.
We can calculate the number of liters of acid that are needed as (298 * 175)= 52150ml
This can be converted to liter by dividing 52150ml by 1000 which can be done as (52150ml/1000) = 52.15 litres of acid.
Therefore, the liters of acid are needed for all of the hot tubs can be expressed as the 52.15 litres
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the width of a rectangular field is 3 meters less than its length. Find the length and width is the perimeter is 58meters
Answers
Let the Length of the rectangle be l and the width of the rectangle be w
The width of a rectangular field is 3 meters less than its length, this can be represented as
w = l - 3
Given the perimeter = 58meters
Perimeter of the rectangle = 2(l + w)
58 = 2(l + l-3)
58 = 2(2l - 3)
58 = 4l - 6
58 + 6 = 4l
64 = 4l
4l = 64
l = 64/4
l = 16
w = l - 3
w = 16 - 3
w = 13
Hence, the length of the rectangle is 16 meters while the width is 13 meters.