The value of the angle is 120°.
What are Corresponding angle?The corresponding angle of a given angle refers to the angle in a congruent position in another figure. For example, if two lines intersect, the angle formed at one vertex of the intersection is called a vertex angle. The corresponding angle in the other figure is the angle in a congruent position, meaning that it has the same measure.
We are given two lines to be parallel
Hence the angle adjacent to x is 40°
Now Sum of All three angle is 180° (Angles in linear pair)
Hence we have
40 + x + 20 = 180°
x = 120°
Hence the measure of angle x is 120°
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New home sales declined 0.3% in October, according to a government report released Wednesday. Despite the monthly drop, sales were still up 17% from a year earlier. New houses sold at an annual rate of 368,000 in the month, down from 369,000 in September, according to a report from the U.S. Census Bureau and the Department of Housing and Urban Development. http://money.cnn.com/2012/11/28/real_estate/new-home-sales/index.html
Find the percentage decrease from 369,000 to 368,000. Your answer should be in PERCENT FORM rounded to TWO DECIMAL PLACES. Don't forget to include the percent symbol.
The percentage decrease for the sale of the house is 0.27%.
What are the nearest two places?
The second place to the right of the decimal point, or the hundredth place, is used to round a decimal number to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.
Given that the initial cost of a home is 369,000.
The cost of a house decreases from 369,000 to 368,000.
The formula of percentage change is
(Final value - initial value)/ initial value × 100
= [(368,000 - 369,000)/369,000] × 100
= (-1000)/369,000 × 100
= 0.27
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The ratio 1500:1200 in its lowest terms is
Answer:
Step-by-step explanation:
To put a ratio in its lowest terms, we need to divide both terms of the ratio by their greatest common divisor (GCD). The GCD of 1500 and 1200 is 300, which is the largest number that divides both numbers evenly.
Dividing both terms of the ratio by 300, we get:
1500 / 300 : 1200 / 300 = 5 : 4
So, the ratio 1500:1200 in its lowest terms is 5:4.
Solve.
√4x-3 /9-2x =0
Choose all answers that apply:
A. 1
B. 2
C. 3
D. 6
E. The equation has no solutions
The value of the expression √4x-3 /9-2x =0 will be B. 2.
How to calculate the valueRearrange the radical on the left side of the equation:
√4x-3=√9-2x
Power on both sides: (√4x − 3)²=(√9 – 2x)² -
Simplify the radical expression: 4x-3=9-2x Rearrange unknown terms to the left side of the
equation: 4x+2x=9+3
Combine like terms: 6x=9+3
Calculate the sum or difference: 6x=12
Divide both sides of the equation by the coefficient
of variable: x=12÷6
Calculate the product or quotient: x=2
Substitute into one of the equations: √4 x 2 3-√9-2 × 2=0
Calculate the product or quotient: √8
9-2×2
Calculate the product or quotient: √8 3 - √9 4
Calculate the sum or difference: √5-√9
Calculate the sum or difference: √5-√5
Calculate the sum or difference: 0=0
Combine the results: x=2
x=2
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identify the range of the following function when given the domain (2,3,10) y=4x-12
Answer: range is (-4,0,28)
Step-by-step explanation:
Graph the line using the slope and the y-intercept, or the points.
The correct answers are:
Slope: 4y-intercept: (0,12)What is a domain?
The word "domain" is used with other related meanings in some areas of mathematics. In topology, a domain is a connected open set. In real and complex analysis, a domain is an open connected subset of a real or complex vector space.
The slope-intercept form is y =mx + b where m is the slope and b is the y-intercept:
→ y = mx + b
Find the values of m and b using the form y = mx + b:
m = 4
b = 12
Therefore, Graph the line using the slope and the y-intercept, or the points.
The correct answers are:
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Please help with this equation
Answer:
Step-by-step explanation:
Adjacent angles is defined as
Opposite,congruent angles formed when two lines intersect.
Find the total cost to the nearest cent.
$890 computer; 5.5% tax
nine less than the product of 8 and a number is 5
Answer:
1.75
Step-by-step explanation:
1. Algebraic equation: 8x - 9 = 5
2. Add 9 on both sides; 8x=14
3. Divide both sides by 8
4. x=1.75
Answer:
Number = 1/2
Step-by-step explanation:
9 - 8a = 5
9 - 5 = 8a
4 = 8a
4/8 = a
a = 1/2
Check:
9 - 8*1/2 = 5
9 - 4 = 5
When an accountant records on hand, they are noting a company’s
A. human resources; total liquid assets
B. cash; total of amount dollars, money orders, checks, and other forms of
money
W
C. supplies; materials that need to be purchased soon
D. inventory; number of employees on payroll
Answer:
The correct answer is D. inventory; number of employees on payroll. An accountant records on hand to note a company's inventory, which is the stock of goods available for sale or use in the production process. The number of employees on payroll refers to the human resources aspect of a company, which is separate from the inventory.
Solve for x using the quadratic formula:
1.2x2-x-1=0
2. x2 - 10x - 11 - 0
Determine the discriminant and explain what the result means
3. 4x2 - 5x + 10 = 0
4. x2 + 18x +81 = 0
5. 4x2 - 4x - 24 = 0
The solutions of the quadratic equation are;
1) x = 1 or -1/2
2) x = 11 or -1
What is the quadratic formula?We know that the quadratic formula is one of the ways that we can use to solve for the variables that we have in a quadratic equation. We can be able to obtain x by using the formula;
x = -b ±√b^2 - 4ac/2a
To use the discriminant;
√b^2 - 4ac
√(-5)^2 - (4 * 4 * 10)
√-135
The roots are imaginary
√18^2 - 4(1 * 81)
= 0
The roots are equal
√(-4)^2 - (4 * 4 * -24)
=20
The equation roots are real and different
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A package of air contains 500 g of water vapor. The total volume of air is 1 m^3 and the volume of dry air is 2.5 m^3. The density of air is 1000 g/m3.
Find the absolute humidity, specific humidity, and mixing ratio
The absolute humidity is 500g/m³, specific humidity = 16.67% and mixing ratio = 20%.
What is absolute humidity?Absolute humidity is a measure of the amount of water vapor in a given volume of air, regardless of the total mass of the air. It is expressed as the mass of water vapor per unit volume of air, typically in units of grams per cubic meter (g/m³).
First, we need to find the mass of dry air in the package. Since the total volume of air is 1m³ and the volume of dry air is 2.5m³, the volume of water vapor is 1 -2.5 = -1.5 m³. This means that the water vapor must have condensed and become liquid water, which we can ignore for the purposes of this problem. So the mass of dry air is:
mass of dry air = density of air * volume of dry air
mass of dry air = 1000g/m³ × 2.5m³
mass of dry air = 2500 g
Now we can use this value, along with the given mass of water vapor, to calculate the three measures of humidity:
absolute humidity = mass of water vapor / total volume of airabsolute humidity = 500g/ 1m³
absolute humidity = 500g/m³
specific humidity = mass of water vapor / (mass of dry air + mass of water vapor)specific humidity = 500g/(2500g + 500g)
specific humidity = 0.1667 (or 16.67% as a percentage)
mixing ratio = mass of water vapor/mass of dry airmixing ratio = 500g/2500g
mixing ratio = 0.2 (or 20% as a percentage)
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F(-10)=64 and f(15)=54
What is the slope
Equation and x intercept
The equation of the straight line is 2x+5y=340.
The x-intercept point of that line is (170,0).
What is the equation of a straight line?A straight line has different forms like point-slope form, standard form, slope-intercept form, and others. A specific form is used according to the given data for convenience.
here, we have,
As f(-10)=64 and f(15)=54, two points can be wriiten as (x₁,y₁)=(-10,64) and (x₂,y₂)=(15,54).
Now, use the two-point form of the equation of a line.
(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)
(y-64)/(x-(-10))=(54-64)/(15-(-10))
(y-64)/(x-10)=-10/25
25(y-64)=-10(x-10)
5(y-64)=-2(x-10)
5y-320=-2x+20
2x+5y=340
Therefore, the required equation of the line is 2x+5y=340.
To find the x-intercept, substitute y=0 into the equation of the line.
2x+5×0=340
2x=340
x=170
Therefore, the x-intercept point is (170,0).
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Which of the following tables of x- and y-values represents a function?
The tables of x- and y-values that represents a function include the following: C. table C.
What is a function?In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range) representing a given scenario or situation such as the following:
x 1 3 7 5 2 4
y 6 6 6 6 6 6
In conclusion, we can reasonably infer and logically deduce that only table C represent a function.
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Hakeem made 5% of his free throws over the season. If he shot 200 free throws, how many did he make?
Hakeem made 10 shots. The solution has been obtained by using proportions.
What is proportion?
Two numbers are compared. It is known as a proportion in mathematics. The law of proportion states that if two sets of given numbers rise or decrease in the same ratio, they are considered to be directly proportionate to one another.
We are given that Hakeem made 5% of his free throws over the season.
He shot 200 free throws and was able to make 5% from them.
So,
Number of throws he made = Number of free throws x Percentage made
Using this, we get
⇒Number of throws he made = 200 x 5%
⇒Number of throws he made = 10
Hence, Hakeem made 10 shots.
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Find the area of the figure. Round to the nearest tenth, if necessary.
The tool crib is 144 inches. How many 12 inches pieces can you cut from it
Answer:
Step-by-step explanation:
12
144 divided by 12 is 12
*Image*
Find the value of x.
The value of the exterior angle x of the quadrilateral is equal to
How to evaluate for the exterior angle xThe sum of the exterior angles of any convex quadrilateral is 360 degrees so we have that:
65 + 106 + 78 + x = 360
simply the left hand side of the equation
249 + x = 360
subtract 249 from both sides of the equation
249 - 249 + x = 360 - 249
x = 111°
In conclusion, since the sum of the exterior angles of a quadrilateral is s 360°, we have got the measure of one the the exterior angle x to be equal to 111°
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Find the Value of X
A. 4
B. 8
C. 22
D. 14
Answer:B
Step-by-step explanation:
5x+15=55
5x=40
x=8
HELP PLEASE!! SOLVE 2x=32 IS 2 DIFFERENT WAYS
i know the one way is
2x/2 = 32/2
x= 16
WHAT IS THE OTHER WAY???!!
Answer: 4x = 64 or -32/-2
Step-by-step explanation:
you could multiply both sides by 2.
4x = 64
4x/4 = 64/4
x = 16
OR
-2x or -32 to both sides
-32 = -2x
divide both sides by -2
x = -32/-2
x = 16
hope this helps
Help!! Geometry:((!!!!
Answer:
x=2
y=0
Step-by-step explanation:
2x=4
x=4/2
x=2
again,
y-1 =2y -1
1-1 =2y -y
0=y
What is the average rate of change? Problem in the picture
The average rate of change over the interval (-1, 2) is; 3
What is the average rate of change over an interval?The formula for the average rate of change over an interval (a, b) is expressed as;
f'(x) = [f(b) - f(a)]/[b - a]
We want to find the average rate of change over the interval (-1, 2). Thus;
a = -1 and b = 2
Thus;
f(-1) = -4
f(2) = 5
Thus;
f'(x) = (5 - (-4))/(2 - (-1))
f'(x) = 9/3
f'(x) = 3
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Please help me with the question pleaseeee
Answer:
∠1 and ∠3
Step-by-step explanation:
The other pair of vertical angles are ∠2 and ∠4
Para cercar un terreno rectangular de 24 m? se emplearon 20 m de malla de alambre, (cuánto mide el largo del terreno
we get two possible solutions: L = 6 and W = 4. Therefore, the length of the land could be 6 meters.
If the rectangular plot has length L and width W, then we know that 2L + 2W = 20 since 20 meters of wire mesh were used. We also know that L × W = 24 since the area of the plot is 24 square meters. Solving these two equations simultaneously, We have the equations:
2L + 2W = 20
L × W = 24
From the first equation, we can solve for L in terms of W:
2L = 20 - 2W
L = 10 - W
Substituting this into the second equation, we get:
(10 - W) × W = 24
Expanding the brackets, we get: 10W - W² = 24
Rearranging and setting equal to zero, we get: W² - 10W + 24 = 0
We can solve this quadratic equation by factoring: (W - 6) × (W - 4) = 0
So the possible solutions for W are: W = 6 or W = 4
If W = 6, then L = 10 - W = 4, so the rectangular plot has dimensions 4 meters by 6 meters. If W = 4, then L = 10 - W = 6, so the rectangular plot has dimensions 6 meters by 4 meters. Therefore, the length of the land is 6 meters. because the length is assumed as the longer side of a shape or an object.
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Complete Question
To enclose a rectangular plot of 24 m², 20 m of wire mesh were used, what is the length of the land?
Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire.
A) Write the equation of the line that represents your annual costs based on how many tires you make. Be sure to label you variables.
B) How many tires do you need to sell to break even if you sell them for $89 per tire.
In economics, business, and notably cost accounting, the break-even point (BEP) is the point at which total costs and total revenues are equal, or "even" and we need to sell a total of 1967 tires at the price of $89 to break even.
What is break even?
The break-even point (BEP) is the point at which total costs and total revenues are equal, or "even," in economics, business, and particularly cost accounting.
Although opportunity costs have been paid and capital has received the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
In other words, all necessary expenses are covered, and neither a profit nor a loss is realized.
So, for the break-even:
= 175000/89
= 1,966.29
Rounding off: 1967
Therefore, we need to sell a total of 1967 tires at the price of $89 to break even.
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Correct question:
Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire. How many times do you need to sell to break even if you sell them for $89 per tire?
2/3 of the students in Mrs. Gracie’s class are boys . If there are 27 students in the class, how many of them are girls?
Answer:
9
Step-by-step explanation:
divide 27 by 3
It equals 9
9 x 2 = 18 boys
27-18= 9 girls
brainliest answr quick tho
Answer:
BL
Step-by-step explanation:
because it goes in both directions infintely
Hi there, here's your answer:
To find the answer to this question, let us review all the options given in the question.
a) BL
BL being two ends of a given line that extends infinitely along its axis, forms a line.
b) GK
GK being two distinct lines do not join and hence do not form an independent line.
c) EB
E being a point on the line BL and B being one end of a larger line form a ray.
d) HI
HI being two points on a line GJ form a line segment, which is finite and has definite end points.
Thus, the answer to this question is (a).
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Calculate the area of the shape below. For this problem, use 3.14 for pi 3- in
The area of the shape given which is a circle is; 38.465 in²
How to find the Area of the Circle?The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².
Area = πr²
The parameters are;
radius; r = 3¹/₂ inches = ⁷/₂ inches
Thus;
Area = π * (⁷/₂)²
Area = π * 49/4
Area = 3.14 * 49/4
Area = 38.465 in²
That's the area of the circle shape given.
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A number, k, truncated to 2 d.p. is 47.00
Write an inequality to show the lower and
upper bounds of k. help quickly please!!!!!
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The lower and upper bounds of h - k are 42.31 and 42.49 respectively.
Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.
The upper and lower bounds can be written using error intervals
The lowest value of h is 47.15
The greatest value of h is 47.24
The greatest value of k is 4.84
The lowest value of k is 4.75
Thus upper bound of h -k = 47.24 - 4.75 = 42.49
Thus lower bound of h -k = 47.15 - 4.84 = 42.31
Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively. dont forget mark me brainliest
The Leswaygo Times is a newspaper in the imaginary country Leswaygo. You read in one of its online articles that the people are unhappy with their new king. He is making changes to make Leswaygo more modern. He believes this will benefit the country, but the people do not agree. They are demanding a change in the law to have a voice in any major decisions through voting. If the king allows this, it will change the Leswaygo form of government to
communism
democracy
autocracy
socialism
Since they are demanding a change in the law to have a voice in any major decisions through voting. If the king allows this, it will change the Leswaygo form of government to: B. democracy.
What is democracy?In Government, democracy can be defined as a type of government that is established by the people and generally for the people. This ultimately implies that, a democracy refers to a type of government that accords all the power to the people.
This simply means that, that the form of power that is exercised through the people is generally referred to as democracy. Additionally, all the people living in a country that practice democracy are expected to elect legislators at large and have a voice in any major decisions through voting.
In this context, we can infer and logically deduce that Leswaygo form of government would be changed to democracy.
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Answer:
I took the quiz it was B democracy
Step-by-step explanation:
It was democracy because that is the strongest form of government
How to I arrive at this number using a common factor?
The common factor is 6[tex]e^{6x}[/tex] (2x - 5)⁸.
What is a common factor?
These are the "common factors" when we determine the factors of two or more numbers and discover some of those factors are the same (or "common").
Given that
d/dx[[tex]e^{6x}[/tex](2x - 5)⁹]
The formula of the product rule is d/dx(uv) = uv' + vu'.
=(2x - 5)⁹d/dx([tex]e^{6x}[/tex]) + [tex]e^{6x}[/tex]d/dx(2x - 5)⁹
Now applying the formula d/dx(x^n) = nx^(n-1), d/dx e^(mx) = m e^(mx)
=(2x - 5)⁹ 6[tex]e^{6x}[/tex] + [tex]e^{6x}[/tex]×2×9 × (2x - 5)⁸
= 6[tex]e^{6x}[/tex] (2x - 5)⁹ + 18[tex]e^{6x}[/tex](2x - 5)⁸
Now taking common 6[tex]e^{6x}[/tex] (2x - 5)⁸
= 6[tex]e^{6x}[/tex] (2x - 5)⁸ [(2x - 5) + 3]
= 6[tex]e^{6x}[/tex] (2x - 5)⁸ [2x - 5 + 3]
= 6[tex]e^{6x}[/tex] (2x - 5)⁸(2x - 2)
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Find the value of x
(to
the nearest ten th).
31°
x
9
The value of x from the given triangle is 17.5 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
We know that, sinθ= Opposite/Hypotenuse
Here, sin31°=9/x
0.515=9/x
x=9/0.515
x=17.5
Therefore, the value of x is 17.5 units.
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