Answer:
The measures of all eight angles formed by the parallel lines and transversal are;
The four angles for the one of the parallel line = 12°, 168°, 12°, 168°
The four angles for the other parallel line = 12°, 168°, 12°, 168°
Step-by-step explanation:
The same-side interior angle theorem states that the the sum of the same side interior angles formed by the transversal intersection of two parallel lines is equal to 180°
Whereby the ratio of the angles is 1:14, we have;
Let one of the angles = x
Therefore, the other angle = 14·x
We then have;
x + 14·x = 180°
15·x = 180°
x = 180°/15 = 12°
∴ The other angle = 14×12 = 168°
Hence the four angles on one of the parallel lines are therefore;
12°, 168°, 12°, 168°
Similarly, the four angles on one of the other parallel line are;
12°, 168°, 12°, 168°
The measures of all eight angles formed by the parallel lines and transversal = 12°, 12°, 12°, 12°, 168°, 168°, 168°, 168°.
Will name the brainliest !
Answer:
c = 3477 feet (As rounded to the nearest whole number)
Step-by-step explanation:
We will use the Sin ratio for this problem since the opposite side of the Angle 15 is given and we have to find the triangle's hypotenuse;
Sin(15) = \(\frac{900}{c}\)
=> Now isolate the variable c all to itself;
Sin(15) * c = 900
c = \(\frac{900}{Sin(15)}\)
c = 3477.33 or 3477 feet
Hope this helps!
Look for a pattern and predict the next two numbers.
1, 1/6, 1/11, 1/16, ___, ___
Answer:
1/21 1/26
Step-by-step explanation:
Denominator increases by 5
Answer:
So your answer is, 1, 1/6, 1/11, 1/16, 1/21, 1/26
Step-by-step explanation:
Simpler answer: the next two numbers in the sequence are, 1/21 and 1/26
If you wish to keep going it would go, 1/31, 1/36, 1/41, 1/46, 1/51, 1/56, and so on. Basically, I am adding "5" to the denominator.
PLEASE MARK BRAINLIEST
in bowl of fruit there are green grapes and black grapes in the ratio 3:4.
if there are 24 grapes,how many black grapes are there
Answer:
32 black grapes
Step-by-step explanation:
24 green grapes
3:4
24÷3=8
8×4=32
there are 32 grapes
bridget was thinking of a number bridget subtracts 7.7 from the number and gets an answer of 68 form an equation with x from the information
Answer:
68 + 7.7 = x
Step-by-step explanation:
I need help. Find the ratio of the trig function.
Answer:
tanΘ = \(\frac{4}{3}\)
Step-by-step explanation:
tanΘ = \(\frac{opposite}{adjacent}\)
the opposite side requires to be found.
let the opposite side be x then using Pythagoras' identity in the right triangle
x² + 12² = 20²
x² + 144 = 400 ( subtract 144 from both sides )
x² = 256 ( take square root of both sides )
x = \(\sqrt{256}\) = 16
then
tanΘ = \(\frac{16}{12}\) = \(\frac{4}{3}\)
Helpppp pleaseeee helppppp
Answer:
2x-1=x+7
-x -x
2x-1=7
+1 +1
2x=7
/2 /2
x=3.5
Step-by-step explanation:
The first official count of Sudan's referendum has been announced
with the country's diaspora in Europe overwhelming voting for
secession
In this sentence, diaspora means.
the
space sought for occupation by a nation
the financial sector, including banking and investing
the territory within which power can be exercised
the dispersion of something that was originally
localized
Answer:
the dispersion of something that was originally localized
Step-by-step explanation:
that's the definition of the word diaspora.
a certain field is a rectangle with a perimeter of feet. the length is feet more than the width. find the width and length of the rectangular field.
The length and width of the rectangular field is 316 ft and 133 ft respectively.
An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.
It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.
Given,
perimeter of rectangular field = 898 ft
let width be 'x'
then,
length = x+183
The perimeter of a rectangle is,
\(P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133\)
Thus, the width is 133 ft and length is (133+183)=316 ft.
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Your question is incomplete, here is the complete question.
A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?
Geometry! The answer is NOT 190 please help!
Using the distance formula, the distance around the park = 190.6 units.
How to Find Distance Using the distance Formula?Distance formula is given as, \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).
To find the distance around the park, find the length of PQ, QR, and PR:
Use the distance formula to find the distance between points P and R:
P(10, 50)
R(80, 10)
PR = √[(80−10)² + (10−50)²]
PR = √[(70)² + (−40)²]
PR = √(4900 + 1600)
PR = √6500
PR ≈ 80.6 units
PQ = |50 - 10| = 40 units
QR = |80 - 10| = 70 units
Thus, the distance around the park = PQ + QR + PR = 40 + 70 + 80.6
Thus, the distance around the park = 190.6 units.
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The triangles below are similar.
therefore x = ?
Answer:
x = 6.
Step-by-step explanation:
JK = JG + GK = 6 + 4 = 10
Scalar factor(k) = JK/JG
k = 10/4 = 5/2
Scalar factor (k) = JL/GH
5/2 = x/15
5 × x = 2× 15
5x = 30
hence x = 6
william is 3 feet 1 inch tall and would like to ride a roller coaster. riders must be at least 42 inches tall to ride the coaster. write an addition inequality to determine how much taller william must be to ride the coaster. let x be the variable representing how much taller william must be.
The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.
To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.
Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:
37 + x ≥ 42
This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.
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HELPPPPPP MEEE PLSSS
Answer:
208
Step-by-step explanation:
the formula is:
2*(width*lenght+height*lenght+height*width)
2*(6*8+4*8+4*6)
208
Hey ! there
Answer:
208 m²Step-by-step explanation:
In this question we are provided a net of cuboid with ,
Length = 8 mWidth = 6 mHeight = 4 mAnd we are asking to find the surface area of the figure ( cuboid ) . We know that ,
\( \quad\underline{ \boxed{\sf{Surface \: Area_{(Cuboid)} = 2 ( lw + wh + hl )}}}\)
Where ,
l refers to lengthw refers to widthh refers to heightSolution : -
\( \longmapsto \qquad \: 2((8 \times 6) + (6 \times 4) + (4 \times 8))\)
\( \longmapsto \qquad \: 2(48 + 24 + 32)\)
\( \longmapsto \qquad \: 2(48 + 56)\)
\( \longmapsto \qquad \:2(104)\)
\( \longmapsto \qquad \: \blue{\underline{\boxed{\frak{208 \: m {}^{2} }}}} \quad\bigstar\)
Therefore , surface area of cuboid is 208 square metres .#Keep LearningPLEASE HELP IM STUCK PLEASE
what are differences or similarities between everyday logic and mathematical logic?
The main difference between everyday logic and mathematical logic is that everyday logic is based on general observations and opinions, while mathematical logic is based on precise statements and facts.
Differences:
- Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.
- Everyday logic is often used to make decisions or solve problems in daily life, while mathematical logic is used to solve complex mathematical problems.
- Everyday logic can be subjective and influenced by personal beliefs or experiences, while mathematical logic is objective and follows a set of universally accepted principles.
Similarities:
- Both everyday logic and mathematical logic use reasoning to draw conclusions.
- Both everyday logic and mathematical logic rely on evidence and facts to support their conclusions.
- Both everyday logic and mathematical logic can be used to solve problems and make decisions.
In conclusion, while everyday logic and mathematical logic have some similarities in terms of their use of reasoning and evidence, they differ in their approach and application. Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.
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the base of a triangle is 2 feet greater in length than its height. If the area of the triangle is 40 square feet, find the length of the base and the height of the triangle.
Does someone mind helping me with this problem? Thank you!
Evaluate 3 8 × 5 12 Give your answer in its simplest form
Answer:
5/32
Step-by-step explanation:
3/8 × 5/12
Multiply.
15/96
Simplify.
5/32
Answer:
19.456 or 19456
Step-by-step explanation:
3.8× 5.12 = 19.456 while 38× 512= 19456
I can't tell which it is because of how the question is
Anyway, hope I assisted you
explain what the following correlation coefficient tell you about two sets of data r=0.4
If r is between 0 and 1 it is a positive correlation
if r is between -1 and 0 it is a negative correlation
\(0In this case, for r=0.4, The correlation is positive. It's a weak association57% of people in state prisons for drug offenses in the us are african american. what percentage of illicit drug users in the us are african american?
The percentage of illicit drug users in the US are African American is a. 14%
According to data from the National Survey on Drug Use and Health, in 2019, 14.5% of African Americans reported using illicit drugs in the past month, compared to 12.4% of the overall population. While African Americans are overrepresented in state prisons for drug offenses, they do not use drugs at a significantly higher rate than other racial and ethnic groups.
It's important to note that drug use is a complex issue with many social and economic factors at play. It's crucial to approach drug use and addiction with a public health perspective that prioritizes prevention, treatment, and harm reduction over punitive criminal justice approaches.
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Your question is incomplete, but probably the complete question is :
57% of people in state prisons for drug offenses in the US are African American. What percentage of illicit drug users in the US are African American?
a. 14%
b. 28%
c. 42%
d. 56%
The _______ of a probability experiment is the collection of all possible outcomes. a. outcome b. sample space c. event d. unusual event e. experiment
Answer:B.Sample space
Step-by-step explanation:
y = 1/2 x + 1
-2x + 4y = 4
need an answer please
y = -x - 3
y + x = 2
There are infinitely many solutions and thus infinitely many values for x and y in the first system of equations. There are no solution for the second system of equations.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side
The first system of equations are,
y = 1/2 x + 1
-2x + 4y = 4
Multiplying throughout the first equation by 4, we get
4y = 2x + 4
and the second equation is 4y = 2x + 4
Both the equations are same and so the lines coincide.
They have infinitely many solutions.
The second system of equations are,
y = -x - 3
y + x = 2 ⇒ y = -x + 2
Both are in the form of y = mx +c, which is the equation of the line in slope intercept form.
Here m is the slope.
Given lines have the coefficient of x same, and so slopes are same.
So the lines are parallel.
Two parallel lines does not have a solution.
Hence the first system of equations have infinitely many solutions and second system of equations does not have any solution.
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The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.
Answer:
W = 8.5 units; L = 30.5 units
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively. Here, L = 3W + 5. Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W = 2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units
4) In the graph below, what is f(2)?
40
35
30
25
20
15
10
5
0
1 2 3 4
Check the picture below.
im failing pls help !!!!!
Answer:
ill suck ya wang
Step-by-step explanation:5$ and ill suck yo wang to do your homework
Answer:
It is C.
Step-by-step explanation:
If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.
Therefore, it is C.
14/3 = 7y solve for y and simplify your answer as much as possible
Answer:
2/3 = y
Step-by-step explanation:
to solve you got to cancel out the 7
so 7y/7.
whatever you do to one side, you do to the other.
14/3 ÷ 7 = 7y/7
14/3 ÷ 7 = 0.6666... = 2/3 = y
If
x = ab/c
derive the formula for the uncertainty of x. (Hint: partial derivatives may prove useful).
The formula for the uncertainty of x, Δx, can be derived using partial derivatives as follows:
Δx = √((Δa/a)² + (Δb/b)² + (Δc/c)²)
To derive the formula for the uncertainty of x, Δx, we can use the concept of partial derivatives. The general formula for the uncertainty propagation of a function involving multiple variables is given by:
Δf = √((∂f/∂x₁)²Δx₁² + (∂f/∂x₂)²Δx₂² + ... + (∂f/∂xₙ)²Δxₙ²)
In this case, we have x = ab/c, and we want to find Δx. We can assign x as a function of a, b, and c:
f(a, b, c) = x = ab/c
To find Δx, we need to calculate the partial derivatives (∂f/∂a), (∂f/∂b), and (∂f/∂c) and substitute them into the general formula.
∂f/∂a = b/c
∂f/∂b = a/c
∂f/∂c = -ab/c²
Now, we can substitute these partial derivatives into the uncertainty propagation formula:
Δx = √((∂f/∂a)²Δa² + (∂f/∂b)²Δb² + (∂f/∂c)²Δc²)
= √((b/c)²Δa² + (a/c)²Δb² + (-ab/c²)²Δc²)
= √((b²Δa² + a²Δb² + a²b²Δc²)/c²)
= √((a²b²Δc² + b²Δa² + a²Δb²)/c²)
Simplifying further, we get:
Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c
Thus, the formula for the uncertainty of x, Δx, is:
Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c
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(a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. y (1) y x+ y (2) y2 (22+y2) (b) Find the general solution of (2). a) OI have placed my work and my answer on my answer sheet b)OI want to have points deducted from my test for not working this problem.
For equation (1), y' = xy + y, we can see that it is a linear differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 1.
For equation (2), y' = y^2(22+y^2), we can see that it is a Bernoulli differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 2.
To find the general solution of equation (2), we can use the following steps:
Divide both sides by y^2 to obtain y^(-2)y' = 22+y^2.
Substitute u = y^(-1) to obtain u' = -22u - 1.
Solve for u using separation of variables to obtain u = Ce^(-22x) - (x+D), where C and D are constants.
Substitute back y^(-1) for u to obtain the general solution y = (Cx+D)/(1-22xy), where C and D are constants.
Therefore, the general solution of equation (2) is y = (Cx+D)/(1-22xy), which is a rational function.
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Consider the sequence: 2,4,8,16,32
Is this sequence arithmetic or geometric?
Answer:
geometric sequence
Step-by-step explanation:
In an arithmetic sequence the terms increase or decrease by the same amount each time. In a geometric sequence the terms are multiplied by a common ration.
The given sequence, 2,4,8,16,32 the terms do not increase by a constant number each time and they are instead multiplied by a common ratio.
Eg. to get to 4 from 2 you multiply by 2, to get to 8 from 4 you multiply by 2. this same process happens throughout the sequence therefore this is a geometric sequence
Answer:
The sequence is geometric
Step-by-step explanation:
The sequence is geometric.
Definition of geometric sequence: A sequence where the next number is made by multiplying the common ratio with the previous number.
In this sequence, there is 2, 4, 8, 16, and 32
4 is made by multiplying 2 with the common ratio, which is true
8, is made by multiplying 4 with the common ratio, 2
As you can see, the numbers have a common ratio of 2, which means this sequence is geometric
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5. To pass a course with an A grade a student must have an average of 90 or greater. A student's grades on three tests are 83,96, and 85 Find what score the student must get on the next test to get an A average What grade must the student get? blank or greater
Answer:
x ≥ 96
Step-by-step explanation:
Let x be the fourth score
To find the average add up all the scores and divide by 4
We want to score to be 90 or higher
( 83+96+85+x) /4≥ 90
Multiply both sides by 4
( 83+96+85+x) /4 *4≥ 90*4
( 83+96+85+x) ≥ 360
Combine like terms
x+264 ≥360
Subtract 264 from each side
x+264-264 ≥360 -264
x ≥ 96
The student needs a 96 or greater.
Solve this please quickly everything on the picture. Thank you
Answer:
yes because i said
Step-by-step explanation:
bc i said