Answers
The value of x in the given parallelogram is: x = 90°.
What is a Parallelogram?A parallelogram is a quadrilateral with four interior angles and four sides, whose opposite angles are equal to each other.
In the image given:
Angle A = 120°
Since ABCD is a parallelogram, therefore, the angle that is opposite to angle A would also be 120°. Therefore:
Angle C = 120°
Angle D = 180 - 120 = 60°.
Angle DCO = 1/2(angle C) = 1/2(120) = 60°
Angle CDO = 1/2(angle D) = 1/2(60) = 30°
x = 180 - m<DCO - m<CDO [triangle sum theorem]
Substitute
x = 180 - 60 - 30
x = 90°
Therefore, the value of x in the given parallelogram is: 90°.
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Related Questions
can u explain why please, i need a explanation.
Answers
Explanation: a^2 + b^2 = c^2
a^2 + 18^2 = 82^2
a^2 = 6400
a = 80
Paul runs a small farm. After the last harvest, he weighed the amount of squash he collected. He had 42.2 total pounds of green and yellow squash. If yellow squash made up 1 5 of the harvest by weight, how many pounds of green squash did he have? Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions.
Answers
The weight of the green squash is 33.76 pounds.
What is the weight of the green quash?A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 3/4. A decimal is a non-integer that is made up of integers and non-integers that are separated by a decimal point. An example of a decimal is 1.2.
The weight of the green squash can be determined by multiplying the fraction of the green quash by the total pounds of green and yellow squash.
Pounds of green squash = fraction of green squash x total pounds of squash
Fraction of green squash = 1 - 1/5 = 4/5
Pounds of green squash = 4/5 X 42.2 = 33.76 pounds
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if the least common multiple of $a$ and $b$ is $1575$, and the ratio of $a$ to $b$ is $3:7$, then what is their greatest common divisor?
Answers
The greatest common divisor of two given numbers is 15.
Given that, the least common multiple of A and B is 1575 and A: B=3: 7.
We need to find what is their greatest common divisor.
What is the least common multiple?The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
We know that the product of the GCF and the LCM of two numbers is always the product of the two numbers.
Let the GCF of two numbers be x.
Then A×B=1575×x
Take A:B=3k:7k
Now, 3k×7k=1575×x
⇒21k²=1575x
⇒k²=75x
x must be expressed as a square divided by 75.
Now, 75=3×5×5
If we multiply 3 to the above product we get the perfect square number.
So, k²=225
⇒k=15
Now, 3k=45 and 7k=105
45=3×3×5 and 105=3×5×7
So, GCD=3×5=15
Therefore, the greatest common divisor of two given numbers is 15.
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Your question is incomplete, probably the complete question/missing part is:
If the least common multiple of A and B is 1575, and the ratio A of B to 3 is 7 , then what is their greatest common divisor?
Answer: 75
Step-by-step explanation:
Since the ratio of A to B is 3:7:
There is an integer k for which A=3k and B=7k.
Moveover, k is the greatest common divisor of A and B, since 3 and 7 are relatively prime.
Recalling the identity lcm(A,B)*gcd(A,B)=AB, we find that 1575k=(3k)(7k), which implies k=1575/21=75.
2. If freezing rain is falling, then the air temperature is 32°F or less.
Converse:
Inverse:
Contrapositive:
Answers
Answer:
Converse: If the air temperature is 32°F or less, then freezing rain is falling.
Inverse: If freezing rain is not falling, then the air temperature is not 32°F or less.
Contrapositive: If the air temperature is not 32°F or less, then freezing rain is not falling.
Explanation:
Statement: If p, then q.
Converse: If q, then p.
Inverse: If not p, then not q.
Contrapositive: If not q, then not p.
A set contains 23 elements set B contains 15 elements, and 13 elements are common to sets A and B how many elements are in set A
Answers
A contains 21 elements
Let's assume set A contains X elements ,
so , according to set theory , A ∪ B = 23
or, A + B - ( A ∩ B ) = 23
or ,X + 15 - 13 = 23
or, X + 2 = 23
or , X = 23 - 2
or, X = 21
So , there are 21 elements are present in set A .
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Solving the problem according to the set theory, we get that set A contains 21 elements.
A set is a well-defined collection of objects, whose elements remain fixed and do not vary. It means that set doesn't change from person to person and is invariable.
Let's assume that set A contains X elements,
So, according to the set theory, A ∪ B = 23
or, A + B - ( A ∩ B ) = 23
or ,X + 15 - 13 = 23
or, X + 2 = 23
or , X = 23 - 2
or, X = 21
From the above explanation, we get that there are 21 elements are present in set A .
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PLEASE SHOW WORK
----------------------------------------
Answers
it has two parallel and same sides
therefore multiply each side by 2 and add them
2(17.4x-0.8)+2(6x)
34.8x-1.6+12x
46.8x-1.6 is the perimeter
Answer:
Perimeter = 2(length) + 2(width)
Perimeter = 2(17.4x - 0.8) + 2(6X)
Perimeter = 34.8x - 1.6 + 12x
Perimeter = 46.8x - 1.6
Given the function g(x) = x² − 3, find the value of g (−2).
Answers
Explanation:
g(-2)= -(2*2) - 3
g(-2)= -4 -3
PLS HELP
ANSWER QUESTION QUICK
PLEASE SHOW WORK
Answers
1. Turn the percentage to a decimal by dividing it by 100.
6.75%/100= 0.0675
2. Multiply your total by that decimal
(10.95) x (0.0675) = 0.739
3. Add your total to the multiplied number
(10.95) + (0.739) = 11.689 = $ 11.69
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16
4r + 2f ≤ 40
A graph shows r on the x-axis, from 0 to 18, and f on the y-axis, from 0 to 20. Two solid lines are shown. The first line has a negative slope and goes through (0, 20) and (10, 0). Everything to the left of the line is shaded. The second line has a negative slope and goes through (0, 16) and (16, 0). Everything above the line is shaded.
What is the maximum number of ride tickets she can buy?
4
6
10
12
Answers
The maximum number of ride tickets that she can buy is A. 4.
How to illustrate the information?It should be noted that the system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16
4r + 2f ≤ 40
The two inequalities are first shown on the graph as seen in the attachment. The graph demonstrates where the two in-equations intersect (4,12).
Consequently, we can observe that r has a maximum value of 4. This was illustrated in the graph.
In conclusion, the correct option is A.
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Which of the following is the solution to 3 | x-1 | > 12?
A. x≤-3 or x >5
B. x > -3 or x > 5
C. x < -3 and x > 5
D. X > 5
Answers
Answer:
7
Step-by-step explanation:
8-9-6
Which number is Irrational?
a
square root 9
b
0.123123123....
c
5/9
d
0.2535455565....
Answers
Answer:
Step-by-step explanation:
d. Square root of 9
you’re welcome :)
The irrational number is 0.2535455565.....
The correct option is D.
Given, that identify the irrational number.
Irrational number : Irrational numbers are non terminating and non repeating.
1) Square root of 9: √9
= 3
It is rational number.
2) Number : 0.123123123....
It is Non terminating but repeating thus it is not an irrational number.
3) Fraction : 5/9
5/9 = 0.555555..
It is a repeating number thus its is not an irrational number.
4) Number: 0.2535455565....
The number is non terminating as well as non repeating. Thus it is an irrational number.
Therefore option D is correct.
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joe and millie each have some baseball cards, and ¾ of the number of cards joe has is equal to 2/3 of the number of cards millie has. what is the least number of cards they could have altogether?
Answers
So, the least number of cards they could have altogether is any value of integer Z, that is ranging from (0→∞). If starting from n=1, then X=8 and Y=9.
What is an integer?
A whole number that can be either positive, negative, or zero is known as an integer.Let Joe has x no. of cards,
then,
Millie has (3/4)x cards.
In that case, Let millie has a total y no. of cards,
then, Joe has (2/3) y cards.
This means that,
(3X)/4 = (2Y)/3
The alternate form shall be:
X = (8 Y)/9
(3 X)/4 - (2 Y)/3 = 0
Real solution:
Y=(9X)/8
Integer Solution shall be:
X=8n, Y=9n, n∈Z, where Z is the set of integers.
So, the least number of cards they could have altogether is any value of integer Z, that is ranging from (0→∞). If starting from n=1, then X=8 and Y=9.
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PLEASE HELP ME ITS DUE IN 10 MINUTES (I'm in 5th BTW!!!)
Answers
Answer:
1st box: 2000
2nd box: 1
3rd box: 22.99
4th box: 0.11
5th box: 23
Step-by-step explanation:
It's simply splitting up the 2000 and 1, and then diving them by 87 each.
After that you can divide them and round to the nearest 10th, and add them to get 23.
A bag of oranges costs 6.40 dollars there are 16 oranges in each bag what would be the cost of 48
Answers
Answer:
Step-by-step explanation:
bag of oranges = $6.40
each bag = 16 oranges
48 divided by 16 = 3 (bags)
$6.40 x 3= $19.20
The cost of 48 oranges would be $19.20 when the each cost 6.4
Given:
- Cost of a bag of oranges = $6.40
- Number of oranges in each bag = 16
First, let's find the cost per orange:
Cost per orange = Cost of a bag / Number of oranges in the bag
Cost per orange = $6.40 / 16 = $0.40
Now, the cost per orange is $0.40.
To find the cost of 48 oranges, multiply the cost per orange by the number of oranges:
Cost of 48 oranges = $0.40 * 48 = $19.20
Therefore, the cost of 48 oranges would be $19.20.
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0.6244 in scientific notation
Answers
Answer:
6.244 x 10^-1
Step-by-step explanation:
What is the image of the point (-1, -4) after a rotation of 90° counterclockwise
about the origin?
Answers
Answer:
(4, -1)
Step-by-step explanation:
See attached image.
consider the question: what is the probability of getting a 7-card poker hand (order doesn’t matter) that contains at least two 3-of-a-kind (3-of-a-kind means three cards of the same rank). for example, this would be a valid hand: ace of hearts, ace of diamonds, ace of spaces, 7 of clubs, 7 of spades, 7 of hearts and queen of clubs. (note that a hand consisting of all 4 aces and three of the 7s is also valid.)
Answers
The probability of getting a 7-card poker hand that contains at least two 3-of-a-kind is 0.0013
For given question,
We need to find the probability of getting a 7-card poker hand that contains at least two 3-of-a-kind.
Total number of cards = 52
If a 7-card poker hand contains at least two 3-of-a-kind,
3-of-a-kind means the three cards of the same rank.
The expression for the probability is,
[tex]P=\frac{ ^7C_3}{ ^{52}C_4} +\frac{ ^7C_2}{ ^{52}C_5} +\frac{ ^7C_1}{ ^{52}C_6}\\\\P=0.0013[/tex]
So, the required probability is 0.0013
Therefore, the probability of getting a 7-card poker hand that contains at least two 3-of-a-kind is 0.0013
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Which expression is equivalent to 1/3 (2x + 12) - 14/15
A: 1 3/5x + 4
B: 4/15x - 4
C: -4/15x - 4
D: -4/15x + 4
Answers
Answer:
D.
Step-by-step explanation:
First distribute:
2/3x + 4 -14/15x
2/3 = 10/15
10/15-14/15=
-4/15
-4/15 + 4
Write the equation in standard form given the following information (with solutions please)
1. The roots are 1/2 and -1/2
Answers
The Quadratic equation in standard form given the following roots are
f(x) = 2x^2 - 3x + 1
The root 1 is associated with the factor (x - 1).
The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)
The quadratic in question is f(x) = (x - 1)(2x - 1). To write this in standard form, perform the indicated multiplication:
f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1
What is Quadratic equation?Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as a[tex]x^{2}[/tex] + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
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A recipe had 4 tablespoons of seasoning to 6 cups of flour. So there is _____ of a tablespoon of seasoning for each cup of flour.
Answers
Answer:
Step-by-step explanation:
The ratio of seasoning to flour is 4:6.
This can also b re-written as a fraction. The fraction would be 4/6.
If you want to find the amount of seasoning per cup of flour, you must divide.
4/6 Divide the denominator (bottom number) by 6 to get a 1 on the bottom. Now divide the numerator (top number) be the same amount. This gives you a 0.66 on the top. Now you have 0.66/1.
0.66 is equivalent to 2/3, so for every 1 cup of flour, there is 2/3 a tablespoon of seasoning.
Hope this helps!
the greatest of the 21 positive integers in a certain list is 16. the median of the 21 integers is 10. what is the least possible average (arithmetic mean) of the 21 integers?
Answers
The least possible average (arithmetic mean) of the 21 integers is 6.
Let the list be arranged in ascending order.The median of the list, i.e., the 11th term in the list, is 10.The greatest number in the list, i.e., the 21st term, is 16.We need to minimize the mean, so we will choose the smallest numbers.For the first 10 elements, we can choose the smallest positive integer, i.e., 1.The first 10 terms are all equal to 1.We must choose numbers greater than or equal to 10 for elements 12 to 20. We will choose 10 in order to keep the average at its minimum.The terms from the 11th to the 20th position are equal to 10.The 21st term is 16.The sum of all the terms is (1*10) + (10*10) + 16.The sum of all the terms is 10 + 100 + 16.The sum of all the terms is 126.The mean is calculated as the sum of all terms divided by the total number of terms.The mean is 126/21.The mean is 6.To learn more about the arithmetic mean, visit :
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an image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor.the actual book is 10.5 inches wide.what scale is being used on the image?
Answers
The scale that is being used on the image is 1:7
Calculating scaleFrom the question, we are to determine the scale that is being used on the image.
From the given information,
The image of the book shown on the website is 1.5 inches wide and 3 inches tall
Also, we have that
The actual width of the book is 10.5 inches
The scale = Width of the book on the website / Actual width of the book
Thus,
Scale = 1.5 inches / 10.5 inches
Scale = 1/7
∴ Scale = 1 : 7
Hence, the scale that is being used on the image is 1:7
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The surface area of a cube is 96 cm².
Work out the volume of the cube in cubic centimetres.
Answers
The volume of cube in cm is (4cm)
Volume of cube is =96 CM^2
Let's consider he as the edge of cube
Surface area of is =6
That is symbol cube as (e^2)
As per the given question the surface are of cube is given as 96 cm^2
As we know
96=6^2
e^2=96/6
e^=16
e=√16
e=4cm
The volume of cube in centimetre is 4cm
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what type of measurement scale is used for operating system? nominal scale ordinal scale interval scale ratio scale
Answers
We can actually deduce here that the type of measurement scale that is used for operating system is: Nominal scale.
What is nominal scale?A nominal scale is actually known to be a measurement scale whereby numbers are used as “tags” or “labels” only in order to identify, locate or classify an object.
This measurement scale actually deals only with non-numeric variables. It can be used where numbers have no value.
Other measurement scales include:
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Dana saved 450 for food for her upcoming vacation. the breakfast was included with their hotel, but lunch and dinner are not. when dana cooks lunch or dinner it costs on average 10 . when the family goes to a restaurant for lunch or dinner it costs on average 40 . what is the maximum number of meals the family can eat at a restaurant.
Answers
The maximum number of meals the family can eat at the restaurant is 11
Amount saved by Dana for her upcoming vacation = 450
Average cost when Dana cooks lunch or dinner = 10
Average cost when the family goes to a restaurant for lunch or dinner = 40
Maximum number of meals the family can have at the restaurant = Amount saved by Dana/Average cost of a meal when the family goes to a restaurant
=450/40
= 11.25 or 11
So, the maximum number of meals the family can eat at the restaurant is 11 with a budget of 450.
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arc xylocated on circle ahas a length of 40 centimeters. the radius of the circle is 10 centimeters. what is the measure of the corresponding central angle for xy⌢in radians?
Answers
We know that an arc is a part of the entire perimeter of a circle.
Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius
We also know that the circle as a whole contains 2π radians
Now first we are required to find the perimeter of the circle
Perimeter of the circle is given by the formula 2πr
Hence, perimeter of the circle = 2πr= 2π x 10 =20π=62.851cm
Hence value of arc in radians = 40/62.851 x 2π =0.636 x 2 π =1.272π
Radian can be converted to degree by multiplying the radian measure by 180/π
Therefore, angle subtended by arc in degrees =1.272 π x 180 /π =229.1 °
Hence the angle subtended by arc is 229.1°
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a state park charges $5 per car plus $1 per person as an admission fee. the total charged for a car with x people is f(x)
Answers
Answer:
the total charged for a car is f(x)=x+5
Step-by-step explanation:
because ther is only on car the value 5 could be constant. but because there could be a number of people in the car that is described by x and is multiplied by the cost which is 1
What are the sides of ∠JBA ?
Answers
The sides of angle JBA is ray BJ and BA.
What is an angle ?In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can say that the angle is the figure formed by two rays which has same initial point. These rays are also known as the sides of an angle. A angle can have two rays.
Some common terms related to angle :
Endpoint : It is the point where the rays met to each other.
Ray : Ray is the side or line segment on which angle is formed.
Curve : It is a line but not straight i.e. a bended line.
Tangent : A line which touches the surface of curve.
In the given question, as ∠JBA is made between two lines or rays i.e. ray BJ and ray BA . Therefore sides of this angle are BJ and BA.
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50 points mathamatics last question for the day
Answers
10² = 100
28.007 × 100 / 2800.7
third option = 2,800.7
Answer: The answer is within the picture!
Step-by-step explanation:
help me please i do not understand this assignment
Answers
Answer: 164.53%
Step-by-step explanation:
105.3/64=1.6453125
1.6453125*100=164.53125
164.53125=164.53%
Notice the answer is greater than 100 percent. This is because 105.3 is greater than 64, meaning that 105.3 is greater than 100% of 64, so 105.3 will have a greater percent value.