Find the value of x. Draw a triangle and label each interior angle before solving.
Then find the angle measures of the polygon.
Angle one: 2x°, angle two: xº, angle 3: (X + 8)°
Answers
Sum of all angles in a triangle = 180°
Which means :-
∠1 + ∠2 + ∠3 = 180°
\(2x + x + x + 8 = 180°\)
\(4x + 8 = 180°\)
\(4x = 180 - 8\)
\(4x = 172\)
\(x = \frac{172}{4} \)
\(x = 43\)
Angle 1 :-
= 2x
= 2 × 43
= 86°Angle 2 :-
= x
= 43°Angle 3 :-
= x + 8
= 43 + 8
= 51°\(therefore \: , \: the \: value \: of \: x = 43°\)
Related Questions
for breakfast, Carlos has a chicken biscuit and á side of
hashbrowns from biscuitville the sandwhich has 380 calories and each individual hash brown is 12 calories, how many hash
browns can Carlos have if he wants his total calories
to be
less than 60?
Answers
Answer:
H<18
Step-by-step explanation:
during a big storm, 29 inches of snow fell in 8 hours. find the rate
Answers
Answer:
36.25
Step-by-step explanation:
If you want to find the rate to anything, divide the measurements by the time.
29/8= 36.25
Let A be the matrix given in Exercise 26. a) For each vector b that follows, determine whether b is in R(A). b) If b is in R(A), then exhibit a vector x in R 2 such that Ax=b. c) If b is in R(A), then write b as a linear combination of the columns of A.
Answers
The vectors (1, 0) and (0, 1) are in R(A). The vector (2, 2) is not in R(A). The vector x = (-1, 1) satisfies Ax = (1, 0). The vector x = (1, -1) satisfies Ax = (0, 1). There is no vector x such that Ax = (2, 2).The vector (1, 0) can be written as a linear combination of the columns of A .
To determine whether a vector b is in R(A), we can solve the equation Ax = b. If there exists a vector x such that Ax = b, then b is in R(A). If there does not exist a vector x such that Ax = b, then b is not in R(A).In this case, we can solve the equations Ax = (1, 0) and Ax = (0, 1) to find the vectors x = (-1, 1) and x = (1, -1), respectively. These vectors satisfy Ax = b, so (1, 0) and (0, 1) are in R(A).We cannot solve the equation Ax = (2, 2) for any vector x. This means that (2, 2) is not in R(A).Finally, we can write (1, 0) and (0, 1) as linear combinations of the columns of A as shown above. Since (2, 2) is not in R(A), it cannot be written as a linear combination of the columns of A.
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I need some help please ASAP
Answers
Answer:
sjsjwhwyegehbddwhshshshhshehsh
On a bicycle trail, the city is painting arrows like the one shown below:
Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters.
Calculate the area of the arrow by decomposing it into rectangles and triangles. (4 points)
195 square centimeters
171 square centimeters
151.5 square centimeters
148.5 square centimeters
Answers
The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².
What is the Area of a Composite Figure?The figure formed by the arrow can be decomposed into a rectangle and a triangle.
The area of the composite figure = area of the rectangle + area of the triangle.
Find the area of the rectangle:
Length = 12 cm
Width = 11 cm
Area of the rectangle = (length)(width) = (12)(11)
Area of the rectangle = 132 cm²
Find the area of the triangle
Base = 11 cm
Height = 15 - 12 = 3 cm
Area of the triangle = 1/2(b)(h) = 1/2(11)(3)
Area of the triangle = 16.5 cm²
Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².
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10.35 Let X 1
,…,X n
be a random sample from a n(μ,σ 2
) population. (a) If μ is unknown and σ 2
is known, show that Z= n
( X
ˉ
−μ 0
)/σ is a Wald statistic for testing H 0
:μ=μ 0
. (b) If σ 2
is unknown and μ is known, find a Wald statistic for testing H 0
:σ=σ 0
.
Answers
a. Wald statistic for testing H0: μ = μ0.
b. If σ 2 is unknown and μ is known the Wald statistic for testing H 0 is W = (S^2 - σ0^2) / (σ0^2 / n)
(a) We know that the sample mean x is an unbiased estimator of the population mean μ. Now, if we subtract μ from x and divide the result by the standard deviation of the sample mean, we obtain a standard normal random variable Z. That is,
Z = (x - μ) / (σ / sqrt(n))
Now, if we assume the null hypothesis H0: μ = μ0, we can substitute μ for μ0 and rearrange the terms to get
Z = (x - μ0) / (σ / sqrt(n))
This is a Wald statistic for testing H0: μ = μ0.
(b) If μ is known, we can use the sample variance S^2 as an estimator of σ^2. Then, we can define the Wald statistic as
W = (S^2 - σ0^2) / (σ0^2 / n)
Under the null hypothesis H0: σ = σ0, the sampling distribution of W approaches a standard normal distribution as n approaches infinity, by the central limit theorem. Therefore, we can use this Wald statistic to test the null hypothesis.
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What is the integrated rate law for a 1st order reaction?
Answers
Expiation: the half-life of a first-order reaction is independent of concentration, and this equation has the form y=mx + b so a plot of the natural log of [A] as a function of time yields a straight line
Source: khanacadamey.org
Hope this helps!
What is the volume of this sphere? Use 3.14 and round your answer to the nearest hundredth. 1777561 cubic inches ST
Answers
we have that
the radius is
r=12.1 in
the volume of a sphere is
\(V=\frac{4}{3}\cdot\pi\cdot r^3\)substitute the given values
\(\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot12.1^3 \\ \\ V=7,416.94\text{ in3} \end{gathered}\)Part 2
In this problem we have the diameter of the sphere
D=13.6 mm
so
r=D/2=13.6/2=6.8 in
substitute in the formula
\(\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot6.8^3 \\ V=1,316.42\text{ in3} \end{gathered}\)Find the area of a rhombus.
4
30°
Answers
Answer:
\(13.86\)
Step-by-step explanation:
you should see 2 triangles with angle 60 bounded by two equal sides of 4
\(=2(\frac{1}{2} (4)(4)sin 60)\\=13.86\)
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
Answers
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 20.7 liters of water came out? please help me out no links please
Answers
Answer:
13.8 minutes
Step-by-step explanation:
If 3 liters came out it would take 2 minutes
if 4.5 liters came out it would take 3 minutes
Therefor the time is the volume divided by the rate
20.7 / 1.5 = 13.8
13.8 minutes
Which is the correct input-output table for the function f(x) = 7 – 4.5x
Answers
Answer:
Input (x): 1 3 4 6 10
Output f(x): 2.5 -6.5 -11 -20 -38
Step-by-step explanation:
Simplify the given expression using the order of operations and exponent rules. Write the answer without negative exponents
2w^5z(6w²z^5)
Answers
Answer:
\(12w^7 z^6\)
Step-by-step explanation:
\(2w^5 z(6w^2 z^5)=(2)(6)w^5 w^2 z^5 z=12w^7 z^6\)
The volume of a square pyramid is 72 inches square if the dimensions of the square are 6in by 6in what is the height of the pyramid
Answers
Answers is 2in
Step-by-step explanation: 6in•6in=36in•2in=72in
================================================
Work Shown:
A = area of pyramid base = 6*6 = 36 square inches
h = unknown height
V = volume of pyramid
V = 72 .... given info
V = (1/3)*A*h ... pyramid formula
72 = (1/3)*36*h
72 = 12h
12h = 72
h = 72/12
h = 6
What expression is equal to x squared minus 6x
Answers
Answer:
Step-by-step explanation:
\(x^{2} -6x\)
a jet airliner travels 1680 miles in 3 hours with a tail wind. the return trip, into the wind, takes 3.5 hours. write a system of equations whose solution is the ground speed of the airplane and the wind speed.
Answers
A system of equation is 1680mi3hr = p−w×600×2hr -p + w for a jet airliner travels 1680 miles in 3hours with a tail wind.
Let p be the speed of the jet airliner
and w be the speed of the tail wind
It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get
1680mi3hr = p−w×600×2hr = p + w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation, we use
200mph = p - w
Add w to both sides:
p = 200mph + w
Using the value of x, we can found the value of w using system of equations.
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
On dividing by 2:
50mph = w
So the speed of the tail wind is 50mph.
Therefore, 200mph = p - 50mph
Add 50mph on both sides:
250mph = p
Hence, speed of jet airliner is 250mph.
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A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the
function S = 16.95 +0.60M, where Mis the number of miles driven.
The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function I=4.90+0.25 M.
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C = ???
Answers
The total charge for a rental that includes insurance is C = 21.85 + 0.85M.
What is the total charge?The given equations are known as linear equations. Linear equations are equations that that has a single variable raised to the power of 1. When drawn on a graph, a linear equation is a straight line.
The mathematical operation that would be used to determine the total cost is addition. Addition is the process of adding two or more numbers.
The total cost for rental is the sum of the standard charge and the cost of insurance.
Total cost = cost of insurance + standard charge
(16.95 +0.60M) + (4.90+0.25M)
Add similar terms: (16.95 + 4.90) + (0.60M + 0.25M)
C = 21.85 + 0.85M
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10. The distance of the point (a, b) from the origin is twice its
distance from the point (-1, -2). Find the relation between a
and b.
Answers
Answer:
b = 2a
Step-by-step explanation:
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 23
and DC = 4, what is the length of BC in simplest radical form? (Note: the figure i
not drawn to scale.)
Answers
Answer:
8.06
Step-by-step explanation:
We can find the length of AB using the principle of similar triangles on the triangles ABD and ABC. We would also engage the use of trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Considering triangle ABD, given that AD = 5 then
Cos A = AD/AB
Also,
Cos A = AB/AC
Given that AD = 5, AC = 13, AB = x
therefore,
x/13 = 5/x
x² = 65
x = √65
= 8.06
i hope its good
Determina la unión de los siguientes subconjuntos
U = ( a, b. U = {a, b, c, d, e}, A = {a, b, d}, B = {b, d, e} y C = {a, b, e}
1. AUB=
2. AUC=
3.BUC=
Answers
1. AUB = {a, b, d, e}
2. AUC = {a, b, d, e}
3. BUC = {a, b, d, e}
In each case, the union includes the elements shared between the sets and the unique elements from each set, without repetitions.
To determine the union of the given subsets, we need to combine all the elements without repetition. Let's analyze each case:
1. AUB:
The set A contains the elements {a, b, d}, and the set B contains the elements {b, d, e}. By combining both sets, we obtain the union AUB = {a, b, d, e}. This is the collection of all the elements that appear in either A or B, without duplicates.
2. AUC:
The set A contains the elements {a, b, d}, and the set C contains the elements {a, b, e}. By combining both sets, we obtain the union AUC = {a, b, d, e}. Once again, this set includes all the elements that appear in either A or C, without repetition.
3. BUC:
The set B contains the elements {b, d, e}, and the set C contains the elements {a, b, e}. By combining both sets, we obtain the union BUC = {a, b, d, e}. Similarly, this set represents all the elements that appear in either B or C, without duplicates.
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Find the common difference of the arithmetic sequence
Answers
Answer:
The common difference is 1/5.
Step-by-step explanation:
Each new term is equal to the previous term, plus the common difference 1/5.
-2 + 1/5 = -10/5 + 1/5 = -9/5 = -1 4/5, and so on.
Answer:
Step-by-step explanation:
\(c.d.=-1\frac{4}{5} -(-2)\\=-\frac{9}{5} +2\\=\frac{-9+10}{5} \\=\frac{1}{5}\)
assume the state of arkansas placed a tax on playing cards of 6 cents per pack. if the state generated $48600 in revenue, how many packs of cards were sold?
Answers
The number of pack of cards sold at the state of Arkansas is 8100.
Describe the term division?Multiplication is the complete reverse of division. If participants of 4 add up to 12, then 12 divided into three classes of equally sized results in 4 in each group.For the values given in question.
The tax on playing card in state of Arkansas = 6 cents per pack.
Total revenue generated = $48600.
Divide total revenue by one pack price to get the number of packs.
Number of pack = Total revenue/price of each pack
Number of pack = $48600/6
$48600.Number of pack = 8100
Thus, the number of pack of cards sold at the state of Arkansas is 8100.
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give me an answer and work and I would give you 150 points i promise I would try to because If I post 150 points at once my thing is going to be taken down.
Answers
Answer: answer for what?
Step-by-step explanation: oh I see it appeared iN wrong catogory I’m browsing History sorry
plz help me i need help
Answers
Answer:
it's the last one it always helps me the way my teacher told me the short hand is the hour and the long one is the minutes. if you write the words down and draw a line under them it tells you which hand is which.
Options:
52 m
21.8 cm
26 m
97 m
Answers
The length of AB which is a diameter of the circle is equal 52 m using the Pythagoras rule.
What is the Pythagoras rule?The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The hypotenuse of the right triangle ADC is a radius and twice the length of the radius is that of the diameter so;
radius = √(10² + 24²)
radius = √(100 + 576)
radius = √676
radius = 26
diameter AB = 2 × 26 = 52m
Therefore, the length of AB which is a diameter of the circle is equal 52 m using the Pythagoras rule.
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The length and width of the park are measured in linear units. inches, miles, meters, etc the area is measured in square units. explain the reason for using square units for area of the park. (please hurry and make it not too long please )
Answers
The area is measured in square units because it is the product of two units which gives square unit.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
The area of a rectangular park is gotten from the productiif the width and length, hence:
Area = length * width
The area is measured in square units because it is the product of two units which gives square unit.
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how many ways are there for six ce majors and ten cs majors to stand in a line so that no two ce majors stand next to each other?
Answers
There are 1,207,084,032,000 ways for 6 CE majors and 10 CS majors to stand next to each other in the lines.
We use permutations and combinations for solving this problem. We fix the position of CS students so that they can stand in a fixed place by
= 10! ways (i)
Now, there are 11 places left for CE students so that no two CE students stand next to each other.
6 CE students in the rest of the 11 places can sit by = 11! / (11-6)! ways (ii)
Hence, using the values of (i) and (ii), we get -
= (10! * 11!) / (11-6)!
= 1,207,084,032,000
Therefore, we have 1,207,084,032,000 ways in which the six CE majors and ten CS majors can stand in a line so that no two CE majors stand next to each other.
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Harry placed blue and green marbles in a bag. Three-quarters
of the marbles are blue. Which of the following could be the
number of blue marbles in the bag?
Answers
It would be 5 because three quarters of 20 would be 15, and 5 would be the remainder.
Step-by-step explanation:
Sorry if its wrong I cant see the answer choices
If you were George Washington, would you have put two VERY different people in your Cabinet to advise you? Do you think this was a wise decision by Washington? Explain.
Answers
If I were George Washington, I would have put two very different people to advise me because I would have a broader vision of government affairs.
Who was George Washington?George Washington (1732-1799) was an American politician and military man who stands out for being one of the most influential people in history and for having served as the first president of the United States between 1789 and 1797. He is considered the most important father of the Nation of the United States.
In 1789 he was unanimously elected by the other founding fathers as the first president of the United States. During his rule he tried to create a nation capable of maintaining peace with its neighboring countries, so he proclaimed neutrality to avoid any involvement in foreign conflicts.
Why have two very different advisers?For George Washington it was a challenge to occupy the position of the first president of the United States because he was going to lead a country that was just being formed. Due to the above, it was of vital importance to include all forms of thought and all visions in its government plan and way of governing.
Therefore, when assuming office as president of the United States, it would be of great importance to have advisers who would help him see from the point of view of other people so that his decisions would take into account the interests of all citizens to avoid uprisings and divisions.
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Mr. Hartzel had 18 books in his home library. He bought 7 new books at the bookstore, then he sold 10 books. How many books does Mr. Hartzel have now?
Answers
Answer:
he has 15 books
Step-by-step explanation:
18 + 7 = 25
25 - 10 = 15