The expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0)
What is American roulette?
Guessing on which number on the wheel ball will come to rest is the objective of American Roulette. Every number contains the same chances as any other number of coming up on each spin (that is winning number on any spin has no effect on the outcome of next spin). The best chance of payout is provided by an outside bet. The possible outcomes of the game of roulette is covered by 'outside bets'. With the higher winning chances, the payout is not going to be incredibly generous(it's only 1:1 for bets like odd or even that covers almost like half the wheel).
Expected value is calculated by adding all the different possible outcomes multiplied by their probabilities.
So, in this case (0.5 x $2) + (0.5 x $1).
For specific example it would be determined by the number of options on a roulette wheel (generally 37).
So winning on this bet in 18 outcomes (the even numbers) and losing on 19 outcomes (the odd numbers + 0).
Putting it all together, the expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0).
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For each line, determine whether the slope is positive, negative, zero, or undefined.
Line 1
Line 2
Line 3
Line 4
O Positive
O Negative
Ozero
O Undefined
O Positive
O Negative
O zero
O Undefined
O Positive
O Negative
Ozero
OUndefined
O Positive
O Negative
OZero
O Undefined
Answer:1
just like my answer dawg
Step-by-step explanation:
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.4 feet. A sample of 61 men’s step lengths is taken.
Step 2 of 2: Find the probability that the mean of the sample taken is less than 2.2 feet. Round your answer to 4 decimal places, if necessary.
Answer:
Step-by-step explanation:
We can use the Central Limit Theorem to approximate the distribution of the sample mean. Since the sample size is large (n=61), the sample mean will be approximately normally distributed with mean μ = 2.6 feet and standard deviation σ/√n = 0.4/√61 = 0.0517 feet.
To find the probability that the sample mean is less than 2.2 feet, we standardize the sample mean as follows:
z = (x - μ) / (σ/√n) = (2.2 - 2.6) / (0.4/√61) = -3.692
We look up the probability corresponding to z = -3.692 in the standard normal distribution table or use a calculator to find the area under the standard normal curve to the left of z:
P(z < -3.692) ≈ 0.0001 (rounded to 4 decimal places)
Therefore, the probability that the mean of the sample taken is less than 2.2 feet is approximately 0.0001.
what is the slope of the graph. leave your answer as a reduced fraction
identify the y-intercept . write as coordinate
write an equation in slope intercept from the graph above
Answer:
The slope is 1/3
The y-intercept is (0,4)
The answer in slope-intercept form: y= 1/3x + 4
Step-by-step explanation:
The slope is 1/3 meaning you rise up 1 and run 3.
The y-intercept is (0,4) Since that's the only thing crossing the Y-Axis
Slope intercept-form Expressed as: y=mx+b
The answer in slope-intercept form: y= 1/3x + 4
You earned $1,740 at a summer job and were paid with a check (but not by direct
deposit). You want to put $800 of that check into a savings account. The rest will go
into your new checking account.
Fill out the deposit slip below by putting in the numbers and/or words that go in
each of the blanks with a letter. For a, type "yes" if you need to sign the slip or "no" if
you do not. If there is no number that goes in one of the blanks, put in 0.
To fill in the deposit slip, you need to insert the figure, $940 into the checks section of the slip or the Bills section. In the Name and Date sections, you will insert your name and the date of the deposit. The sign section will not be filled as cash was not received.
How to fill out the deposit slipFirst, we learn that $800 will be deposited into savings and the rest into checking. If we subtract $800 from $1,740, we will have $940. So, the amount that will be put into the checking account will be $940.
Name and Date will be filled in according to your personal details. The signature will not be signed as cash was not received.
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Algebra transformation
f(x) =
The equations in terms of f(x) to match each graph with its transformations should be written as follows;
Graph 1 ⇒ f(x) + 4
Graph 2 ⇒ -f(x - 4)
Graph 3 ⇒ f(x - 7)
Graph 4 ⇒ f(x + 2) - 5
What is a translation?In Mathematics and Geometry, the translation of a graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.In order to write an equation that models Graph 1, we would have to apply a vertical translation to f(x) by 4 units up.
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After Toni cleans the table, she uses Shine-On to polish the table. If the diameter of the spray can is 7 inches and the height of the spray can is 8 inches, what is the volume of the spray can? Leave your answer in terms of π.
Answer:
The volume of the spray can is given by the formula for the volume of a cylinder:
V = πr^2h
where r is the radius of the base (which is half the diameter), and h is the height.
The diameter of the spray can is 7 inches, so the radius is 7/2 = 3.5 inches.
The height of the spray can is 8 inches.
Substituting these values into the formula, we get:
V = π(3.5)^2(8)
V = π(12.25)(8)
V = 98π
Therefore, the volume of the spray can is 98π cubic inches.
give me thanks and rate 5* po~ if this helps u! your welcome!
a line and its translated image are parallel because the distance between corressponding points of a figure hosw could you use that information
We have shown that if two lines are parallel, then they have the same slope.
What is translation?A shape is translated when it is moved up, down, left or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.
We can prove that parallel lines have the same slope by using the fact that the distance between corresponding points of a figure and its translated image is the same at every point.
Suppose we have two parallel lines, line A and line B, with slopes m₁ and m₂, respectively. Let P be any point on line A, and let Q be the corresponding point on line B such that P and Q are equidistant from the line of intersection of A and B.
Now let us translate line A to a new line A', such that P is mapped to Q. Since the distance between corresponding points of A and A' is the same at every point, we know that the distance between P and the line of intersection of A and B is equal to the distance between Q and the line of intersection of A' and B.
Since A' and B are still parallel, the distance between Q and the line of intersection of A' and B is equal to the distance between any point on line B and the line of intersection of A' and B.
Therefore, the distance between P and the line of intersection of A and B is equal to the distance between any point on line B and the line of intersection of A' and B. This means that the slope of line B, m₂, must be equal to the slope of line A', which is also equal to m₁.
Hence, we have shown that if two lines are parallel, then they have the same slope.
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The complete question is:
A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point. How could you use that information to show that parallel lines have the same slope?
How to calculate parallelogram
Answer:
Step-by-step explanation:
To calculate the area of a parallelogram, you need to know the length of the base and the height of the parallelogram.
The formula for the area of a parallelogram is:
Area = base x height
where the base is any side of the parallelogram and the height is the perpendicular distance between that side and the opposite side.
For example, if you have a parallelogram with a base of 8 meters and a height of 5 meters, you can calculate its area as:
Area = 8 meters x 5 meters = 40 square meters
So, the area of the parallelogram is 40 square meters.
a) Consider the batting and slugging averages of Ty Cobb and Babe Ruth in the 1918 season. Based on this information, would you advise Ed Barrow, the Red Sox manager, to propose trading his own Babe Ruth for the Tigers player Ty Cobb for the 1919 season? Write 2–3 sentences explaining why or why not.
After answering the presented question, we can conclude that Ty Cobb's performance had already peaked by 1918, and his future potential was questionable.
What is equation?A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions. The equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14, for instance. The relationship between the two phrases that appear on opposing sides of a letter is explained by a mathematical formula. Frequently, the symbol and the single variable are identical. as 2x - 4 equals 2, for example.
Ty Cobb had a batting average of.382 and a slugging percentage of.521, while Babe Ruth had a batting average of.300 and a slugging percentage of.555 in 1918. It is tough to make a firm determination on whether to trade Ruth for Cobb based only on this information.
Nonetheless, given the two players' total performance and potential, it would be unwise to deal Babe Ruth for Ty Cobb. Babe Ruth was recognized for his tremendous hitting and pitching ability and would go on to become one of baseball's best players of all time, but Ty Cobb's performance had already peaked by 1918, and his future potential was questionable.
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PLEASE HELP IM OFFERING 30 POINTS 6. Practice: Organizing Information
(5 points: 1 point for labels, 2 points for each graph)
Label the axes of the graph with "Time (hours)" and "Energy (kWh)." Plot the points from table A on the graph. Connect the points with a line. On the same graph, plot the points from table B and connect them with a line.
The data points from table A and table B have been plotted in the graph shown below.
How to construct and plot the data in a scatter plot?In this scenario, the time (in hours) would be plotted on the x-axis (x-coordinate) of the scatter plot while the energy (kWh) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
For table A, we have:
Time (in hours) Energy (kWh)
0 0.0
1 0.3
2 0.5
3 0.7
4 0.9
For table B, we have:
Time (in hours) Energy (kWh)
0 0.0
1 0.1
2 0.2
3 0.3
4 0.4
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Anybody want to answer this?
The solution for y in sqrt(2x + y - 3z) = 5 is y = -2x + 3z + 25. Option A
How to find the value of y in the questionTo solve for y in the equation: sqrt(2x + y - 3z) = 5,
we need to isolate y on one side of the equation by squaring both side of the equation
=(sqrt(2x + y - 3z))^2 = 5^2
=2x + y - 3z = 25
We can solve for y by subtracting 2x and adding 3z to both sides:
y = 25 - 2x + 3z
y = -2x + 3z + 25
Therefore, the solution for y is y = -2x + 3z + 25
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can you help me with this problem
The vertical asymptotes are at the values of x 2 and 5.
How to find the vertical asymptotes?The vertical asymptotes are the values of x that make the denominator equal to zero.
Here the denominator is:
x² - 7x + 10 = 0
We can use the quadratic formula to find the values of x, these are:
[tex]x = \frac{7 \pm \sqrt{(-7)^2 - 4*1*10} }{2} \\\\x = \frac{7 \pm 3}{2}[/tex]
Then the two values of x are:
x+ = (7 + 3)/2 = 10/2 = 5
x- = (7 - 3)/2 = 4/2 = 2
at these values of x we have the two vertical asymptotes.
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URGENT !!! Which expression is equivalent to
contractor is doing a construction job. On the Y axis we have 240 ft. On the X axis we can see that it takes 72 hours to get 240ft worth of work done. If labor cost $100 and hour, how much would this project cost for a building size of 900ft? (approximation)
A.24,000
B.27,000
C.38000
D.54000
This project would cost $27,000 (option B) to the contractor for a building size of 900ft.
Given = 240 ft take 72 hours:
240 ft / 72 hours = 900 ft / x hours
Cross-multiplying, we get:
240 ft x x hours = 72 hours x 900 ft
x = (72 hours x 900 ft) / 240 ft
x = 270 hours
So, for a 900 ft project, it would take 270 hours of work.
The cost of the project can be found by multiplying the number of hours by the labor cost per hour:
Cost = hours x labor cost per hour
Cost = 270 hours x $100 per hour
Cost = $27,000
This form is initially mailed to
in the
from
Based on the 1099-MISC, Lori will include
section of her 1040 form.
Reset
Next
Answer:
Add answers
Step-by-step explanation:
...
Please help me answer this its urgent!!
Answer:
A to B would be plus 6cm. so 11cm
Step-by-step explanation:
if we look at the comparison from the first image and the bigger one we see that the differences 6cm apart so the answer is plus 6cm (11cm) in all
Pls give brainlist me the world
Have a good day :)
I need help please and thank you
Answer:
98 pages
Step-by-step explanation:
Make a proportion according to the given information:
56 pg - 4 min
x pg - 7 min
Cross-multiply to find x:
[tex]x = \frac{7 \times 56}{4} = \frac{392}{4} = 98[/tex]
Hi!!! Thanks for stopping by my question! I would really appreciate the help! I've attached the question below. Thanks!
I'd appreciate if you made sure to double check your answers and provide everything the question is asking! INCLUDE ALL STEPS!
Answer:
f(x) = -(x +2)(x -4)/((x +1)(x -3)); graph attachedf(x) = -1/(3x² +11x -20)Step-by-step explanation:
You want functions that have the given list of asymptotes and intercepts.
Asymptotes and zerosThe functions of interest here are built as rational functions of products of linear terms. Each numerator linear term (x -p) will make the function have a zero (x-intercept) of x=p. Each denominator linear term (x -p) will make the function have a vertical asymptote at x=p. The horizontal asymptote will be the value of the ratio of the leading numerator and denominator terms as x gets large in magnitude.
1. Horizontal asymptote at -1The x-intercepts at -2 and 4 mean the numerator factors are (x +2) and (x -4).
The vertical asymptotes at -1 and 3 mean the denominator factors are (x +1) and (x -3).
In order to make the function have a horizontal asymptote of -1, the ratio of leading terms (x²/x²) must have a coefficient of -1.
One function that meets the requirements is ...
[tex]f(x)=-\dfrac{(x+2)(x-4)}{(x+1)(x-3)}[/tex]
2. Reciprocal of quadraticThe vertical asymptotes at -5 and 4/3 mean the denominator factors are (x +5) and (3x -4). (We could use (x-4/3), but we prefer integers in the expression.)
The ratio of leading terms (1/x²) is positive for x not between the asymptotes, so we need a negative coefficient.
One function that meets requirements is ...
[tex]f(x)=-\dfrac{1}{(x+5)(3x-4)} = -\dfrac{1}{3x^2+11x-20}[/tex]
graph the line with slope -4 and y-intercept 8
To graph the line with a slope of -4 and a y-intercept of 8, you can start by plotting the y-intercept point on the y-axis, which is (0, 8). Then, use the slope to find additional points on the line. Since the slope is -4, you can move down 4 units and to the right 1 unit to find another point on the line. Plot this point and draw a straight line through both points to complete the graph. The resulting line will be a straight line that slopes downward to the right and passes through the points (0, 8) and (1, 4).
HELP ME, PLEASE!!!!!!
A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
Out of six sides on the die, two are the desired results, which are 1 or 6, hence the probability is given as follows:
p = 2/6
p = 1/3.
Hence, out of 60 trials, the expected number of successes is given as follows:
E(X) = 60 x 1/3
E(X) = 20.
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which of the following inferences are true about the data? select all that apply
Answer: C
Step-by-step explanation: I did this on an exam
C
The discount on a bicycle is 20%. It is on sale for $89.90. What
is the original price of the bicycle? (pls help its for my math hw and include the step process)
Answer:
The original price of the bicycle is $112.38--------------------------
Let the original price of the bicycle be x.
Set up an equation to reflect the discount:
x - 20% = 89.90Solve the given equation for x:
x - 0.2x = 89.900.8x = 89.90x = 89.90/0.8x = 112.38 (rounded to full cent)Hence the original price is $112.38.
Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)
The mean is 0.477514 (rounded to 6 decimal places).
The standard deviation is 0.288919 (rounded to 6 decimal places).
How to Solve the Problem?To calculate the mean and standard deviation, we will use the following formulas:
Mean = (sum of all values) / (number of values)
Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]
Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:
Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514
Therefore, the mean is 0.477514 (rounded to 6 decimal places).
Now we will calculate the standard deviation:
Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919
Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).
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unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
This stem and leaf plot shows the height of several trees.
Height in Feet and Inches of Several Trees
5 1,2,6
6 1,3,3,7
7 0,0,1,3,5,7,11
8 1,7,7,9,9
Which is the number of trees that are LESS than 6 feet tall?
9
14
3
2
Answer: 2
Step-by-step explanation:
The number of trees that are less than 6 feet tall according to the given stem and leaf plot is 2. The stem value of 5 represents trees that are 5 feet tall, and the leaf values of 1 and 2 indicate that there are two trees in total with a height less than 6 feet. Therefore, the answer is 2.
Dario is the kicker for his high school football team. The path of the football when kicked can be represented by the quadratic function y = -16x^{2} + 85x
, where x is the horizontal distance (in feet) and y is the height (in feet). How far does Dario kick the football? Express your answer as a decimal rounded to the nearest hundredth.
Answer:
To find the horizontal distance the football travels, we need to find the maximum value of the quadratic function y = -16x^2 + 85x, which occurs at the vertex of the parabola.
The x-coordinate of the vertex is given by -b/2a, where a = -16 and b = 85:
x = -b/2a = -85/(2*(-16)) = 2.66
So the football travels a horizontal distance of approximately 2.66 feet when kicked.
To check that this is the maximum distance, we can find the value of y at x = 2.66:
y = -16(2.66)^2 + 85(2.66) = 113.56
So the maximum height reached by the football is approximately 113.56 feet.
Therefore, Dario kicks the football a horizontal distance of approximately 2.66 feet.
Use the definition of the greatest integer function to evaluate each of the following.
The value for each greatest integer function is:
[55.9] = 55
[55.001] = 55
[0.65] = 0
[-34.11] = -35
[16(3/14)] = [227/14] = [16.214] = 16
[-8.21] = -9
[19] = 19
[-0.45] = -1
[-8(1/2)] =[-8.05] = -9
[2/3] = [0.67] = 0
We have,
The greatest integer function, denoted as [x] gives the largest integer that is less than or equal to x.
So,
We can create the inequalities as:
55 ≤ 55.9 ≤ 56
[55.9] = 55
55 ≤ 55.001 ≤ 56
[55.001] = 55
0 ≤ 0.65 ≤ 1
[0.65] = 0
-35 ≤ -34.11 ≤ -33
[-34.11] = -35
16 ≤ 16.214 ≤ 17
[16(3/14)] = [227/14] = [16.214] = 16
Similarly,
[-8.21] = -9
[19] = 19
[-0.45] = -1
[-8(1/2)] =[-8.05] = -9
[2/3] = [0.67] = 0
Thus,
The value for each greatest integer function is given above.
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You roll a 6-sided die.
What is P(not divisor of 6)?
Write your answer as a fraction or whole number.
1/3
Step-by-step explanation:The notation P(x) is used to describe the probability of event x occurring.
Divisors
Before we can do the probability question, we need to find the divisors of 6. Divisors are numbers that can evenly divide another number. The factors and divisors of a number are the same. So, 6 has 4 divisors:
1, 2, 3, and 6All of these values are on a 6-sided dice. So, in this probability question, there are 4 unsuccessful outcomes.
Probability
The probability of a simple event is the number of successful outcomes divided by the number of possible outcomes. In this situation, there are 6 possible outcomes, each side of the dice. Four of these outcomes do not satisfy the given condition (not a divisor of 6). Thus, there are 2 successful outcomes.
[tex]\frac{2}{6} =\frac{1}{3}[/tex]The probability of rolling a number that is not a divisor of 6 is 1/3.
Please help. Need to turn in rn
Using the given information, Thursday game generates $2240.00 and Saturday game generates $2413.00.
How much money did Thursday game generate? $2240.00
How much money did Saturday game generate? $2413.00
Solving system of linear equationFrom the question, we are to determine how much money was taken in at each game.
From the given information, the two games together earn $4653.00 for the team.
Thursday game generates $173.00 less than Saturday's game
Let T represent Thursday game and S represent Saturday game.
Then,
We can write the equations
T + S = $4653.00 --------- (1)
S - T = $173.00 --------- (2)
From the second equation, we can write that
S = $173.00 + T --------- (3)
Substitute into the first equation
T + S = $4653.00
T + $173.00 + T = $4653.00
2T = $4653.00 - $173.00
2T = $4480
T = $4480/2
T = $2240.00
Substitute into the third equation
S = $173.00 + T
S = $173.00 + $2240.00
S = $2413.00
Hence, Thursday game generates $2240.00 and Saturday game generates $2413.00
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(x+3) degrees and 84 degrees vertical please help
The value of 'x' for given problem is 81 degrees.
What do vertical pair of angles mean?The intersection of two lines produces vertical angles, which are pairs of angles. Consistently having the same measure, they are congruent. A pair of vertical angles is a pair of non-adjacent, opposing angles that have the same vertex but different sides.
In given Problem, we have two vertical angles:
one measures (x + 3) degrees and
other measures 84 degrees.
As a result of the congruence of vertical angles, we may construct an equation to get the value of x. 84 degrees and (x + 3) degrees are both vertical angles, hence they must be equal to one another:
x + 3 = 84
To solve for x, we can subtract 3 from both sides of the equation:
x + 3 - 3 = 84 - 3
x = 81
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Correct Question: (x+3) degrees and 84 degrees are pair of vertical angles.Find x?
