The value of x in the cyclic quadrilateral is 37 degrees
Calculating the value of x?From the question, we have the following parameters that can be used in our computation:
Quadrilateral CDEF is inscribed in circle A.
Opposite angles of cyclic quadrilateral add up to 180
So, we have
3x - 10 + 2x + 5 = 180
Evaluate
5x = 185
Divide
x = 37
Hence, the value of x is 37
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Answer:
37
Step-by-step explanation:
What is Precession? Group of answer choices
Deviations in the circularity of the orbit
Changes in the rate of Earth's Spin
Changes in the magnitude of the angle of tilt
Changes in the orientation of the axis of rotation
Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.
This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.
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The Great Pyramid of Egypt was built for Queen Cleopatra.
True
or
False
Answer:
False
Step-by-step explanation:
Answer:
False
that is the answer
convert the following to fraction :
i) 7.028
ii) 3.432
plz solve
Answer:
467y6y
66 43
T68999
56 9
Step-by-step explanation:
Gftghhcryihfghobfascho
The store offers in-house financing. Why would the store want to do something like that?
Answer:because it just a word problem
Step-by-step explanation:
like i said it just a word problem
10/5+10-9x11 using pemdas
Answer:
-87
Step-by-step explanation:
9 x 11 =99
10/5 =2 +10 =12-99
12-99= -87
Write an equation:
"Ehren worked 36 hours last week and earned a total of $500"
Please help me ;-; Thanks!
The correct equation to represent "Ehren worked 36 hours last week and earned a total of $500" is,
⇒ 36x = 500
Where, x represent the amount earn in per hour.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
"Ehren worked 36 hours last week and earned a total of $500"
Let the amount earn in per hour = x
Hence, For Ehren worked 36 hours last week and earned a total of $500, the correct equation is,
⇒ 36x = 500
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Four-digit integers are formed using the digits 2, 3, 4 and 5. Any of the digits can be used any number of times. How many such four-digit integers are palindromes
To count the number of four-digit palindromes formed using the digits 2, 3, 4, and 5, we need to consider the possible combinations of these digits.
Since a palindrome reads the same forwards and backwards, the first and last digits must be the same, as well as the second and third digits. We can choose any digit from the set {2, 3, 4, 5} for the first digit, leaving us with four options. Similarly, we can choose any digit for the second digit, resulting in four options again.
For the third digit, it must match the second digit, so there is only one option for the third digit. The same applies to the fourth digit, which must match the first digit.
Therefore, the number of four-digit palindromes that can be formed using the digits 2, 3, 4, and 5 is equal to the number of options for the first digit (4) multiplied by the number of options for the second digit (4), which gives us a total of 4 * 4 = 16 palindromes.
Thus, there are 16 four-digit palindromes that can be formed using the digits 2, 3, 4, and 5.
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Solve pls brainliest
What's the difference of 5x-4 and 2x+4?
Solving the Question:
To find the difference of two expressions, we can write them in a subtraction sentence:
\((5x-4) -( 2x+4)\)
Solve:
\(= 5x-4 -2x-4\\= 3x-4 -4\\= 3x-8\)
Answer3x-8
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?
How do I do this ?
Because I need help on how to do this correctly
Answer: 6ft per second
Step-by-step explanation: Its 18ft per 3 seconds. 6x3=18.
Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
On a coordinate plane, the point (0, 3) is graphed.
On a coordinate plane, the point (0, 4) is graphed.
On a coordinate plane, the point (3, 0) is graphed.
On a coordinate plane, the point (4, 0) is graphed.
The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.
What is an ordered pair?The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.
Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.
Given, Ramon is graphing the function f(x) = 3 + (4)x.
We know the initial value of a function is determined when the independent variable is set to zero.
Here the independent variable is 'x'.
Now, at x = 0,
f(0) = 3 + (4)(0).
f(0) = 3.
So, The ordered pair is (0, 3).
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Answer:
a
Step-by-step explanation:
five people are passing a ball amongst themselves. the ball starts with alonzo. each person who has the ball passes it onto someone else. on the eighth pass, the ball returns to alonzo. find the number of possible sequences of passes.
The number of possible sequences of passes is 252.
When Alonzo has the ball for the first time, he has 4 people to pass it to. Then, for the next seven passes, each person has 3 people to pass it to. So, the number of sequences can be calculated as 4 x 3^7 = 252. This calculation is based on the principle of counting the number of combinations, where each person has a fixed number of options for passing the ball and the options change as the passes go on.
In this case, with 5 people, the total number of possible sequences of passes will be a function of the number of options available for each pass.
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The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?
The events are mutually exclusive events, so P(A|B) is 0.
In this question,
If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then
⇒ A ∩ B = 0
Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)
⇒ \(\frac{0}{0.10}\)
⇒ 0.
Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.
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find a function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.
A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.
In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.
The given function is f'(x) = 3x^3.
No integrating on both side,
f(x) = \(\int3x^3dx\) + C
f(x) = 3x^4/4 + C
As given, the line 81x + y = 0 is tangent to the graph of f.
So, slope at point of tangent; f'(x) = -81
So, 3x^3 = -81
Divide by 3 on both side, we get
x^3 = -27
Taking cube root on both side, we get
x = -3
So putting the value of x in 81x + y = 0, we get
y = 243
Thus, f(x) passes through (-3, 243).
So, 243 = 3/4(81) + C
Multiply by 4 on both side, we get
972 = 243 + 4C
Subtract 243 on both side, we get
4C = 729
Divide by 4 on both side, we get
C = 729/4
So, f(x) = 3x^4/4 + 729/4
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what is the answer for. -3x + 2 > 14
Answer:
x<-4
Step-by-step explanation:
MARK AS BRAINLIST!!
Consider the quadratic pattern -7;0;9;20 4.1 show that the general term of the quadratic number pattern is given by tn=n^2+4n-12
To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.
Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.
First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11
We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.
To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2
The second differences are constant, which suggests a quadratic pattern.
Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.
Using the given terms, we can form three equations:
1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)
Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9
Solving this system of equations, we find a = 1, b = 4, and c = -12.
Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).
The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).
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For the data given in Exercise 6. 5-3, with the usual assumptions. (a) Find a 95% confidence interval for y(x) when x = 68, 75, and 82 (b) Find a 95% prediction interval for Y when x = 68,75, and 82 Midterm Final Midterm Final 70 87 67 73
74 79 70 83
80 88 64 79
84 98 74 91
80 96 82 94
This question has been solved using R. The output is shown
A.
95% Confidence interval at (x = 68) = (75.28278, 85.11336)
95% Confidence interval at (x = 75) = (83.83844, 90.77724)
95% Confidence interval at (x = 82) = (89.10713, 99.72809)
B.
95% Confidence interval at (x = 68) = (75.28278, 85.11336)
95% Confidence interval at (x = 75) = (83.83844, 90.77724)
95% Confidence interval at (x = 82) = (89.10713, 99.72809)
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Countertop A countertop will have a hole drilled in it to hold
a cylindrical container that will function as a utensil holder.
The area of the entire countertop is given by 5x² + 12x + 7. The area of the hole is given by x² + 2x + 1. Write an
expression for the area in factored form of the countertop
that is left after the hole is drilled.
The requried expression for the area in the factored form of the countertop that is left after the hole is drilled is 2(2x + 3)(x + 1).
To find the area of the countertop left after the hole is drilled, we need to subtract the area of the hole from the area of the entire countertop. So, we have:
Area of countertop left = (5x² + 12x + 7) - (x² + 2x + 1)
Area of countertop left = 4x² + 10x + 6
Area of countertop left = 2(2x² + 5x + 3)
Area of countertop left = 2(2x + 3)(x + 1)
Therefore, the expression for the area in the factored form of the countertop that is left after the hole is drilled is 2(2x + 3)(x + 1).
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What’s the simplified form of this assuming x does not equal 0
Answer:
After simplifying we get
\(6x^3\)
Step-by-step explanation:
we have,
\(\sqrt{(2160x^8)/(60x^2)}\)
Simplifying,
\(\sqrt{(2160x^8)/(60x^2)}\\\\\sqrt{(2160)/(60)(x^8)/x^2)}\\= \sqrt{(36)(x^6)}\\now,\\36 = 6*6 =6^2, \\also, x^6 = (x^3)^2,so,\\\\\sqrt{(36)(x^6)}=\sqrt{(6^2)(x^3)^2}\\which \ gives\\6x^3\)
Hence after simplifying we get 6x^3
A bag has 7 red marbles, 8 blue marbles and 5 purple marbles. Rachel draws a marble from the bag without looking.
What is the probability that Rachel draws a blue marble?
O A 45
OB. 8%
O c. 12.5%
D. 405
O E 66.75
Answer:
40%
Step-by-step explanation:
7+8+5=20
8/20
.40 then move the decimal to the left 2 times and there's your answer
A community is building a square park with sides that measure 150 meters. To separate the picnic
area from the play area, the park is split by a diagonal line from opposite corners. Determine the
approximate length of the diagonal line that splits the square. If necessary, round your answer to
the nearest meter.
Answer:
212 meters
Step-by-step explanation:
The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)
2 * 22500 = 45000
The square root of 45000 is about 212.13, which would round down to 212 meters.
In ΔOPQ, p = 29 inches, o = 34 inches and ∠O=35°. Find all possible values of ∠P, to the nearest degree.
All possible angles of ∠P is 29° and 151°.
What is an angle?An angle is formed when two lines or rays meet at the common vertex. The angle is represented by ∠ and it is measure in °.
In triangle OPQ, p = 29 inches, o = 34 inches and ∠O=35°.
To find ∠P:
We need to find q.
To find q. we use cosine rule.
\(q^{2} = p^2+o^2-2(p)(o)cos O\)
\(q^2= 29^{2}+34^{2} -2(29)(34)cos35\)
= 841+ 1156 - 1972*0.8192
=1997-1615.46
\(q^{2}\) = 381.54
⇒q= 19.5 inches.
To find ∠P:
We use sine rule,
\(\frac{o}{sinO}=\frac{p}{sinP}\)
\(\frac{34}{sin35}=\frac{29}{sinP}\)
\(\frac{34}{0.5736}=\frac{29}{sinP}\)
sin P *34 = 29*0.5736
sin P = 16.63/34
sin P = 0.489
∠P = Arc sin(0.489)
∠P = 29° and 151°
Hence, all possible values of ∠P is 29° and 151°.
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In the figure below, find the value of X.
2
45
X
Y
answer is 38
good right?
WILL CROWN BRAINLIEST Find the quotient.
29,424 divided by 15
Answer:
1961.6 as decimal
Step-by-step explanation:
I divided it
Ria buys
2 packets of biscuits costing £1.40 each
2 cakes costing £1.50 each
3 bottles of orange juice costing £1.10 each
Ria pays with a £10 note.
Work out how much change Ria should get.
Help me with these math problems please
a) No, there aren't shared rays.
b) Yes.
C) Vertical angles.
d) 2x = 50 + 8
e) x = 29.
Do the two angles share a ray?Yes, clearly the two angles only share the common vertex which is B, all the rays startat that point, and in this case the rays for ABC are BA and BC.
Whie the rays for DBC are BD and BC.
So no, there aren't shared rays.
b) Yes, when the angles only share the vertex, these are called opposite or vertical angles, and it means that the two angles have the same measure.
c) As we said above, vertical angles.
d) The measures must be equal, then.
2x - 8 = 50
e) Solving that for x we will get:
2x = 50 + 8
2x = 58
x = 58/2 = 29
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Which of the following questions may be on a list about effectively using statistics in a speech?○ Are my numbers from reliable sources?○ Do I use statistics to quantify ideas?○ Do I relate the statistics to the audience?
All three options are relevant questions to consider when effectively using statistics in a speech.
1. "Are my numbers from reliable sources?" - It is crucial to use reliable and accurate data sources to ensure that your speech presents trustworthy information.
2. "Do I use statistics to quantify ideas?" - Using statistics can help support your arguments and make your points more concrete, making your speech more persuasive and engaging.
3. "Do I relate the statistics to the audience?" - Relating statistics to the audience helps make the data more relevant and understandable, allowing listeners to better grasp the importance of the information.
To effectively use statistics in a speech, you should ensure that you use reliable sources, use statistics to quantify your ideas, and relate the statistics to your audience.
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7.4.2. what values of x satisfy the following equations? (a) p(−x ≤ t22 ≤ x) = 0.98
The values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.
The expression p(- x ≤ t22 ≤ x) represents the probability of a t-distribution with 22 degrees of freedom lying between - x and x.
We want to find the values of x such that this probability is 0.98.
We can use a table of t-distribution probabilities or a calculator to find the value of t for which the probability of a t-distribution with 22 degrees of freedom lying between −t and t is 0.98.
This value is , 2.518.
Therefore, we need to solve the inequalities:
-2.518 ≤ -x ≤ 2.518
Solving for x, we get:
-2.518 ≤ -x x ≤ 2.518
Therefore, the values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.
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points (-21, 1/2) and (-7, y) have a slope of -1/7. find the y coordinate of the point.
SOMEONE PLEASE HELP ME!!!! PLEASE HELP ME ON THIS QUESTION.
The y coordinate of the point is -3/2
How to determine the y-coordinate?The points are given as:
(-21, 1/2) and (-7,y)
The slope is given as:
m = -1/7
The slope is calculated as:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
This gives
\(-\frac 17 = \frac{y -1/2}{-7 + 21}\)
Evaluate the difference
\(-\frac 17 = \frac{y -1/2}{14}\)
Multiply through by 14
\(-2 = y -1/2\)
Add 1/2 to both sides
y = -3/2
Hence, the y coordinate of the point is -3/2
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