∠1 and ∠4 are vertical angles
∠1 and ∠3 are adjacent angles
∠1 and ∠2 are supplementary angles
Vertical Angles:Vertically opposing angles are established when two lines intersect at a single place and the angles opposite to each other are created using the two intersecting lines. There is never a difference between these angles.
Adjacent Angles:Those angles are referred to as vertical angles if they share an arm and a vertex. Additionally, the nearby angles are those that are produced side by side. The primary characteristic of these angles is that they never cross over.
Supplementary Angles:When two angles add up to 180 degrees, they are said to be supplementary. Angles are referred to be supplementary angles when two of them are next to one another.
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Help me please !!!!!!
Answer:
wouldnt it be. 4 × x+7
Step-by-step explanation:
because x and 7 equal the whole top and 4 is the side
LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
2. All of the following constructions start with a line segment except what?
A) constructing a line perpendicular to a point on a line
B) constructing equilateral triangles
Answer:
A) Constructing a line perpendicular to a point on a line
Solve for x, round to the nearest tenth of a degree (timed help me PLEASE!!!)
Answer:
yo
o.1 like it please o.1
The value of x is 63.435, which is 60 round to the nearest tenth of a degree.
Given:
Height = 40 feet.
Distance =20 feet.
To find the value of x.
sinθ = hypotenuse/opposite.
cosθ = hypotenuse/adjacent.
tan θ = opposite/adjacent.
tan θ = 40/20 = 2
θ = tan ⁻(2) = 63.435
Therefore, 60 for x round to the nearest tenth of a degree.
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Determine the value of c that makes the function f(x y) = c/x-y/ a joint discrete probability density function for x=2,0,2 and y=-2,3
Given: The given function is
\(f(x,y)=c(x-y)\)
To find: Here we need to find the value of c for which f(x,y) will be a joint
discrete probability density function.
Solution:
Now, to find c we have,
\(\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\\)
∴\(c=\frac{1}{5}\)
Therefore, the required value of c is 1/5.
Simplify (4r - s) - (r + 2s) + (3r - s)
A.) 6r - 3s
B.) 8r
C.) 3r - 2s
D.) 6r - 4s
Answer: D
Step-by-step explanation:
4r-r+3r can be simplified to just 6r
-s-2s-s can be simplified to just -4s
Answer:
D) 6r - 4sStep-by-step explanation:
\((4r - s) - (r + 2s) + (3r - s) \\ 4r - s - r - 2s + 3r - s \\ 4r - r + 3r - s - 2s - s \\ 6r - 4s \\ \)
Determine the measure of the unknown angles.
PLEASE HELP!!! ASAP!!
(Picture included)
(V.O.A) means vertically opposite angle.
Who can do this? Pls help
Answer:
15. 2
16. \(\frac{27}{16}\) or 1.6875
17. \(\frac{17}{30}\) or 0.5666666667
18. 5
19. \(\frac{35}{8}\) or 4.375
20. \(\frac{22}{5}\) or 4.4
Step-by-step explanation:
Find common denominators. Multiply then simplify (if possible).
You need 1,000,000 number cubes, each measuring one inch one inch on a side . A if you stacked the cubes on top of one another to make an enormous tower how high would they reach? Explain your reasoning
Answer:
Step-by-step explanation:
If you have 1,000,000 number cubes, each measuring one inch on a side, then the height of the tower you can build with them can be found by multiplying the number of cubes by the height of a single cube.
The height of a single cube is also one inch, since all sides are equal in length. Therefore, the height of the entire tower would be:
1,000,000 cubes × 1 inch/cube = 1,000,000 inches
To convert this to a more manageable unit, we can divide by the number of inches in a typical measure of length, such as a foot or a mile. For example:
1,000,000 inches ÷ 12 inches/foot ≈ 83,333.33 feet
This is a very tall tower, almost 16 miles high!
576,000 in science notation
Answer: 5.76 x 10 to the 5th
Find the missing term and the missing coefficient.
(6a −_)5a =_a2 − 35a
Answer:
\((6a-7)5a=30a^2-35a\)
Step-by-step explanation:
Message if you want a detailed explanation.
Please help asap!!! thank ya
Your home is at point H. Your friend lives at point F, the midpoint of Elm Street. Elm Street intersects Beech Street and Maple Street at their midpoints. You want to walk to your friend’s house by going South on Beech and then East on Elm. How far in miles do you walk?
Answer:
1 mile
Step-by-step explanation:
Given that Elm Street intersects Beech Street and Maple Street at their midpoints.
The midpoint of beech street = 1/2 * distance of beach street = 1/2 * 1.2 miles = 0.6 miles
Using Pythagoras:
elm street² + 0.6² = 1²
elm street² = 1 - 0.36
elm street² = 0.64
elm street = √0.64
elm street = 0.8 mile
Point F = 1/2 * distance of elm street = 1/2 * 0.4 miles = 0.4 miles
Distance to friends half from house = 1/2 * distance of beach street + 1/2 * distance of elm street = 0.6 + 0.4 = 1 mile
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch). after the game the mean inflation was 12.5 psi.
select the null hypothesis h0.
The null hypothesis, denoted as H0, in this scenario could be "The mean inflation of the footballs before and after the game is the same," or more specifically, "The population mean inflation of the footballs is equal to 13 psi."
In hypothesis testing, the null hypothesis (H0) is a statement that assumes there is no significant difference or effect between variables. In this case, the null hypothesis states that the mean inflation of the footballs before and after the game is the same. The specific null hypothesis can be expressed as "The population mean inflation of the footballs is equal to 13 psi." The null hypothesis is typically the hypothesis that is tested against an alternative hypothesis (Ha), which suggests a specific difference or effect between variables. In this scenario, the alternative hypothesis (Ha) would state that the mean inflation of the footballs before and after the game is different. It is important to note that the selection of the null hypothesis depends on the research question, the context of the study, and the specific variables being analyzed.
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help me out broooo asap please haha
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
Help pls I rlly need it
Answer: The Y intercept is 50 and it represents where the temperature starts.
Step-by-step explanation: The Y intercept is basically where the line is touching on the y line.
Solve for x X+10y=1550
Answer:
X=1550-10y
Step-by-step explanation:
X+10y=1550
Subtract 10y from each side
X+10y- 10y=1550-10y
X=1550-10y
Answer:
\(x = 1550 - 10y\)
Step-by-step explanation:
\(x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y\)
hope this helps
brainliest appreciated
good luck! have a nice day!
Piper skated to the park and then walked to the store. He skated 2 times as long as he walked. The total time spent walking and skating was 21 minutes. Write an equation that can be used to solve for how long it took Piper to walk from the park to the store?
*
x + 2x = 21
x + 2 = 21
1/3x = 21
1/2x + x = 21
The equation to represent the time taken by piper to walk and skate is x + 2x = 21. The correct option is (A).
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
Suppose the number of times piper walked be x.
Then, the number of times he skated is 2x.
Now, as the total time spent on walking and skating is 21 minutes, the equation can be written as,
Total time = Time for walking + time for skating
⇒ 21 = x + 2x
⇒ 3x = 21
⇒ x = 7
Thus, the solution of the equation is x = 7 which is equivalent to the time for walking in minutes.
Hence, the required equation is x + 2x = 21 and its solution is 7.
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two cards are selected in a sequence from a standard deck. what is the probability that the second card is a jack given that the first card was a 2. (assume the 2 was not replaced.)
The probability that the second card is a jack given that the first card was a 2 is 52/51.
To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.
When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.
The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:
P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)
Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.
The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.
P(Second card is a jack | First card is a 2) = (4/51) / (4/52)
Simplifying the expression:
P(Second card is a jack | First card is a 2) = (4/51) * (52/4)
P(Second card is a jack | First card is a 2) = 52/51
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Part C: Create a graph that represents the solutions to the equation from Part A
Answer: Dear friend google
Step-by-step explanation: search it up
download the document below and complete the proof of the triangle sum theorem. once completed, save the file for upload at the bottom of this page.
The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.
The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.
Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.
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(a) Given an initial condition for y0, answer the following questions, where yt is the random variable at time t,ε is the error, t is also the time trend in (iii):
(i) find the solution for yt, where yt=yt−1+εt+0.3εt−1.
(ii) find the solution for yt, and the s-step-ahead forecast Et[yt+s] for yt=1.2yt−1+εt and explain how to make this model stationary.
(iii) find the solution for yt, and the s-step-ahead forecast Et[yt+s] for yt=yt−1+t+εt and explain how to make this model stationary.
(i) To find the solution for yt in the given equation yt = yt−1 + εt + 0.3εt−1, we can rewrite it as yt - yt−1 = εt + 0.3εt−1. By applying the lag operator L, we have (1 - L)yt = εt + 0.3εt−1.
Solving for yt, we get yt = (1/L)(εt + 0.3εt−1). The solution for yt involves lag operators and depends on the values of εt and εt−1. (ii) For the equation yt = 1.2yt−1 + εt, to find the s-step-ahead forecast Et[yt+s], we can recursively substitute the lagged values. Starting with yt = 1.2yt−1 + εt, we have yt+1 = 1.2(1.2yt−1 + εt) + εt+1, yt+2 = 1.2(1.2(1.2yt−1 + εt) + εt+1) + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.
To make this model stationary, we need to ensure that the coefficient on yt−1, which is 1.2 in this case, is less than 1 in absolute value. If it is greater than 1, the process will be explosive and not stationary. To achieve stationarity, we can either decrease the value of 1.2 or introduce appropriate differencing operators.
(iii) For the equation yt = yt−1 + t + εt, finding the solution for yt and the s-step-ahead forecast Et[yt+s] involves incorporating the time trend t. By recursively substituting the lagged values, we have yt = yt−1 + t + εt, yt+1 = yt + t + εt+1, yt+2 = yt+1 + t + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.
To make this model stationary, we need to remove the time trend component. We can achieve this by differencing the series. Taking first differences of yt, we obtain Δyt = yt - yt-1 = t + εt. The differenced series Δyt eliminates the time trend, making the model stationary. We can then apply forecasting techniques to predict Et[Δyt+s], which would correspond to the s-step-ahead forecast Et[yt+s] for the original series yt.
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Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8
Answer:
gf(5) = -8
Step-by-step explanation:
gf(x) = g(x^-1) = x^2 + 6x - 8
f(x) = 2x - 10
gf(x) = 6(2x - 10) - 8
gf(x) = 12x - 60 - 8
gf(x) = 12x - 68
gf(5) = gf(x) = 12x - 68
gf(5) = 12(5) - 68
gf(5) = 60 - 68
gf(5) = -8
what is AC?
is it
A. 4
B.7.5
C 5
D. 3
Step-by-step explanation:
your answer is C 5. also to find the answer by yourself get a ruler then measure the big one then the little one in mm. Then you can check how much larger they are then each other. In this case it is dilated to be twice the size. you call tell in this case by looking at the measurements it already gives you as you can see they both have the same labeled side, 3 and 6. 3 times 2 = 6 therefore it's twice the size
Answer:The awnser Is letter C Number 55
Step-by-step explanation:
X1,X2,...,XnX1,X2,...,Xn be a random sample of size n from the exponential distribution whose pdf isf(x:θ)=(1/θ)e−x/θ,0
To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.
The MLE for θ in the exponential distribution is simply the sample mean of the observed data.
The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.
The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.
To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.
Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.
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Can someone help me please
I will give Brainiest
Answer:
PQR = 126
Step-by-step explanation:
summplementary = 180
(4x+2)+(2x-8) = 180
6x - 6 = 180
x = 31
PQR = 4x+2
= 4(31)+2
= 126
Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown. Which statements must be true about the two congruent, shaded figures? Select two options. A rectangle is shown. 4 parallel lines are drawn diagonally from one side of the rectangle to the opposite side. The shapes formed by the parallel lines are colored in an alternating pattern. Group of answer choices The figures are quadrilaterals because each has four sides. The figures are trapezoids because each has exactly one pair of parallel sides. The figures are rhombi because they are formed by four congruent line segments. The figures are parallelograms because their opposite sides are parallel. The figures are rectangles because they are formed inside a rectangle.
Answer:
D & E
Step-by-step explanation:
The figures are parallelograms because their opposite sides are parallel
The figures are quadrilaterals because each had four sides
Answer:
D&E
Step-by-step explanation:
Edge 2021
the length of a base of an isosceles triangle is xthe length of a leg is 2x - 2 the perimeter of the triangle is 56 find x
The perimeter of the triangle is computed adding the length of each side. That is,
P = (2x - 2) + (2x - 2) + x
P = (2x + 2x + x) + (-2 - 2)
P = 5x - 4
Substituting with P =56 and solving for x:
56 = 5x - 4
56 + 4 = 5x
60 = 5x
60/5 = x
12 = x
point A' (2 3) is the image of A(3 -4) under a translation.
Answer:
1 unit left
7 units up
Step-by-step explanation:
If you have trouble working with the coordinate numbers, it can be helpful to plot them on a graph so that you can count grid squares. (see attached)
__
The translation is ...
A' -A = (2, 3) -(3, -4) = (2-3, 3-(-4)) = (-1, 7)
Since positive numbers are to the right or up, negative numbers are to the left or down.
The translation (-1, 7) means a translation 1 unit left and 7 units up.
What are two congruent angle relationships that depend on parallel lines cut by a transversal
Answer:
corresponding angles, alternate exterior angles
Step-by-step explanation:
when you have to parallel lines cut be a transversal, you get different pairs of angles that are either equal or supplementary (add to 180).
For example, corresponding angles are congruent, and alternate exterior angles are congruent.