Answer:
∠1 is supplementary to ∠3.
Step-by-step explanation:
Given information: ABCD is a parallelogram.
Prove: ∠1 is supplementary to ∠3.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
what is the answer to this?
Answer:
any number
Step-by-step explanation:
It is because all real numbers are solutions to this
Answer:
x = infinite solutions
Step-by-step explanation:
\(\frac{2}{3}(6x+ 3) = 4x + 2\\\\\frac{12}{3}x + \frac{2 \times 3}{3} = 4x + 2\\\\4x + 2 = 4x + 2 \\\\Which\ is \ true \ for \ all \ values \ of \ x.\)
How do you find the inverse of a 3x3 matrix by adjoint?
The resulting matrix is the inverse of the original matrix.
The adjoint method of finding the inverse of a 3x3 matrix involves several steps:
Calculate the matrix of cofactors: The first step is to calculate the matrix of cofactors. This involves finding the determinant of the 2x2 submatrices of the original matrix, and then alternating the signs of these determinants as we build the matrix of cofactors.
Transpose the matrix of cofactors: The second step is to transpose the matrix of cofactors. This involves flipping the rows and columns of the matrix.
Divide by the determinant of the original matrix: The final step is to divide each element of the transposed matrix of cofactors by the determinant of the original matrix.
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can someone please help me, this is so complicated and i don’t understand how to do this :/
The slope of the line is 3.
Given are the coordinates of points on a line, we need to find the slope of the line,
Considering the points (2, 7) and (4, 13).
We know that the slope = y₂-y₁ / x₂-x₁
slope = 13-7 / 4-2 = 6/2
Slope = 3
Hence the slope of the line is 3.
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Pablo runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes
Answer:
Step-by-step explanation:
So first you multiply 6 by 55. That equals 330. Then, you divide that by 44. That equals 7.5. Therefore, Pablo runs 7.5 miles in 44 minutes.
A bag of carrots weight 3 kilograms scan of beans weight 420 grams what’s the total
From mass unit conversion where using a numeric constant ( 0.001), the total weight of vegitables ( carrots and beans) in a bag is equals to the 3.420 kilograms.
A unit conversion is used to expresses the same property as a different unit of measurement. Unit conversion is a process with serval steps that involves multiplication or division by a numerical factor called conversion factor. So, there are different unit conversions charts like mass unit conversation, length unit conversion etc. Now, we have, a bag contains carrots and beans.
Weight of carrots in bag = 3 kg
weight of beans in bag = 420 grams
We have to determine total weight that bag contains. As we see both weights are present in different units ( i.e, kg and grams). Using unit conversion, 1 kilogram = 1000 grams
=>\( 1 gram= \frac{1}{1000}=0.001 kg\)
So, 420 grams = 420× 0.001 = 0.420 kg
Total weight of vegitables in bag = weight of carrots + weight of beans
= 3 kg + 0.420 kg
= 3.420 kg
Hence, required value is 3.420 kilograms.
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What is the first step in solving the equation 2a – 4 (a – 5) = 10?
Add the 2a and a.
Distribute 4 to a and -5.
a
Distribute -4 to a and -5.
O
Add 4 to both sides.
Answer:
Distribute -4 to a and -5
Step-by-step explanation:
I answered it on quizzis and got it right :)
The first step is to distribute 4 to a and -5 .
Option (b) is correct.
It is required to find the first step in solving the equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The equation
2a – 4 (a – 5) = 10
The first step is to distribute 4 we get,
2a-4a+20=10
Compare the like terms we get,
-2a=-10
Divide by 2 in both sides, we get
a=5
Therefore, the first step is to distribute 4 to a and -5 .
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4. How many 5 -digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
There are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
To answer your question, we need to find the number of ways to arrange the remaining three digits after "67" is fixed.
Since we cannot repeat any digit, the first digit has 8 possibilities (0 to 9 except for 6 and 7).
the second digit has 7 possibilities, and the third digit has 6 possibilities.
To find the total number of arrangements, we multiply the number of possibilities for each digit together:
8 × 7 × 6 = 336.
Therefore, there are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
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10. (01.03 lc) when constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle? (1 point) connect every other intersection of an arc and the circle with a segment. connect the intersections of the diameters and the circle with a segment. connect every intersection of an arc and the circle with a segment. connect the midpoint of the radius to the endpoint of the diameter.
The correct option is C. Connect every intersection of an arc and the circle with a segment.
When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.
What is regular hexagon?A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.
Some key features related to regular hexagon are-
A regular hexagon is a closed 2D shape with six equal sides as well as six equal angles. Each regular hexagon angle measures 120 degrees. The total of all interior angles is 120 × 6 = 720 degrees.Both have six sides, six interior angles, and six vertices.All six interior angles add up to 720 degrees.All six exterior angles add up to 360 degrees.To know more about the regular hexagon, here
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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.
When building an engraved regular hexagon.
Following the creation of six arcs on the circle, the following steps will be taken.
A segment should be connected to every intersection of an arc and a circle.
The correct question is -
When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?
A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.
C. Connect every intersection of an arc and the circle with a segment.
D. Connect the midpoint of the radius to the endpoint of the diameter.
Answer: (C) Connect every intersection of an arc and the circle with a segment.
Step-by-step explanation: butter
Radical Equations and Problems Score: 0 of 1 pt 24 of 25 (23.co 17.6.63 The radius of some planet is 1950 miles. Use the formula for the radius r of a sphere given its surface area A, TE А 4 to find the surface area of the planet. - sq mi (Round to the nearest square mile as needed.)
The surface area of the planet is approximately 47,789,000 square miles.
The problem gives us the radius of a planet, which is 1950 miles. We need to find its surface area using the formula for the radius of a sphere given its surface area. The formula is given as:
A = 4πr²
where A is the surface area of the sphere and r is its radius.
To find the surface area of the planet, we need to substitute the given value of its radius into this formula. Thus, we get:
A = 4π(1950)²
Simplifying this expression, we get:
A = 4π(3,802,500)
A = 15,210,000π
Now, we need to approximate this value to the nearest square mile, as per the problem. We know that π is approximately equal to 3.14. Therefore, we can substitute this value to get an approximate value of the surface area:
A ≈ 15,210,000(3.14)
A ≈ 47,789,400
Rounding this value to the nearest square mile, we get:
A ≈ 47,789,000 square miles
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The area of a sector of a circle with a radius measuring 15 cm is 75(pi) cm2. What is the measure of the central angle that forms the
sector?
The sector of the circle is bounded by 2 radii, and the measure of the central angle that forms the sector is 120 degrees
How to determine the central angle?The given parameters are:
Area = 75π cm^2Radius, r = 15 cmThe area is calculated using
Area = α/360 * πr^2
So, we have:
α/360 * π * 15^2 = 75π
Evaluate the exponent
α/360 * π * 225 = 75π
Divide both sides by 75π
α/360 * 3 = 1
Multiply
α/120 = 1
Multiply both sides by 120
α = 120
Hence, the measure of the central angle that forms the sector is 120 degrees
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Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in
Answer:
29.9 inches squared
Step-by-step explanation:
I just took this and got the answer right!!
Perform the following area application. (Round to the nearest tenth.)
A hot water heater measures 20" in diameter. What is the area of a metal base for the water heater, assuming a two-inch overhang for the base beyond the edge of the heater?
A = _________square inches
The area of the metal base for the water heater is approximately 452.2 square inches (rounded to the nearest tenth).
The radius of the hot water heater is 10 inches (half of the diameter). To find the radius of the base, we add the 2-inch overhang to the radius of the heater: 10 + 2 = 12 inches.
Now we can calculate the area of the base using the formula for the area of a circle: A = πr²
A = π(12)² = 452.4 square inches (rounded to the nearest tenth).
Therefore, the area of the metal base for the hot water heater is 452.4 square inches.
To find the area of the metal base for the hot water heater, we need to calculate the area of a circle with a radius of 12 inches.
We get this radius by adding the 2-inch overhang to the radius of the heater, which is 10 inches. Using the formula for the area of a circle, A = πr² , we can plug in our value for r and solve for A.
After rounding to the nearest tenth, we get an area of 452.4 square inches. Therefore, the metal base needs to have an area of at least 452.4 square inches to properly support the hot water heater.
The area of the metal base for the hot water heater is 452.4 square inches, which was found by calculating the area of a circle with a radius of 12 inches (10 inch radius of the heater + 2 inch overhang). This information can be used to ensure that the base is the correct size and can properly support the hot water heater.
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determine whether or not the vector field is conservative. f(x,y) = 33x2y2i + 22x3yj
The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.
To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:
∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2
Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:
φ(x,y) = 11x^3y^2 + 11x^2y^2 + C
where C is the constant of integration.
Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.
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Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
billy wants a book for his birthday party for his children at white post farms.The farm charges $300 plus $20 per child.In total,there will be 30 children attending the birthday party.What is the total cost?
Answer:
$900
Step-by-step explanation:
f= farm charge
c= cost per child
t= total cost
f+30c=t
300+30(20)=t
300+600=t
900=t
calculate the %cw for a sample of 1040 steel that has an original diameter of 12 mm and a final diameter of 10 mm.
The new yield strength of the 1040 steel will be the intercept on the curve for 30.56 %of cold work which is between700 to 800 MPA
Given original diameter do = 12 mm
Ao = \(\pi\)/4 x 12² = 113.097 mm²
Deformed diameter d =10mm
Ad = \(\pi\)/4 x 10² = 78.54 mm²
Degree of cold work %CW = (Ao - Ad/Ao)X 100
=(113. 097 - 78. 54/113.097) x 100
= 30.56%
% CW is 30.56 %
Therefore, the intercept on the curve for 30.56% of cold work, which is between 700 and 800 MPA, will represent the new yield strength of the 1040 steel.
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What information is needed to write the equation of a line in point-slope form?
The location of one ordered pair that lies on the line and the line's slope.
The line's slope and one ordered pair that is not on the line.
The location of one ordered pair on the line and one ordered pair that is not on the line.
The slope of the line and the location of the origin.
The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option
Point-slope form of the equation of a lineFrom the question, we are to determine the information that is needed to write the equation of a line in point-slope form.
The point-slope form of a line is given as
y - y₁ = m(x - x₁)
Where, (x₁, y₁) is a point on the line
and m is the slope of the line
Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:
1. An ordered pair on the line
2. The slope of the line
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What is f(5) for the function f(x)=-9x-10
Step-by-step explanation:
In this form, x = 5.
so we'll substitute 5 in for x...
f(5) = -9(5) -10
f(5) = -45 -10
f(5) = -55
essentially saying, when x = 5, y = -55
Find the measure of the missing angle *
Answer:
68 degree
Step-by-step explanation:
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Dan sells beaded necklaces. Each large necklace sells for $6.40 and each small necklace sells for $4.80. How much will he earn from selling 7 large necklaces
and 1 small necklace?
Step-by-step explanation:
my horses are working and in the image above
A part-time handyman made $8798. 04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
A. $551. 96
B. $5,148. 04
C. $0
D. $3,098. 04
$0, He earned $8798 in net taxable income the previous year. He has a negative amount of taxable income since the exemption and the allowed deduction are larger than his annual gross income.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700 = $-552
There is a negative number, which indicates that he owes no taxes.
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HELP QUICK!! solve by substitution and show work please
divide the decimals 708.4 + 1.456
Answer:
709.856
Step-by-step explanation:
Melody had to make a visit to the bank because her account was overdrawn by $32.
After making a deposit of $100, Melody was now happy that she had some money. How
much money did she have after making the deposit?
$100
-$78
$32
If f(x)=x+9 and g(x)=x−9, (a) f(g(x)) (b) g(f(x)) (c) Thus g(x) is called an______ function of f(x)
The composite function f(g(x)) represents the composition of two functions.
i.e., g(x) and f(x).
Here, the inner function is g(x) and the outer function is
\(f(x).b) g(f(x)):g(f(x))=g(x+9)=(x+9)-9=x\) \(g(f(x))=x\)
Ans: x Similarly, g(f(x)) represents the composition of two functions, f(x) and g(x).
Here, the inner function is f(x) and the outer function is g(x).c)
Thus, g(x) is called an inverse function of f(x)In the given context, g(x) is the inverse function of f(x).
The inverse function is a function that does the opposite of what the original function does.
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James and Martina each read
74 books last summer. How
many books altogether did
they read?
3
books
90
Answer:
148 books
Step-by-step explanation:
Answer:
148 books all together
Ralph and Liza are both driving from Los Angeles to Santa Fe. Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way. Liza leaves at 7:25 and averages 65 mph on the way. The situation is modeled by this system,
where x is the number of hours after Liza leaves and y is the distance each
will travel:
y = 60x + 25
y = 65x
How long after Liza leaves will she pass Ralph, and how far will they each
have traveled?
A. Liza will pass Ralph after 4 hours, and they each will have traveled
260 miles.
B. Liza will pass Ralph after 3 hours, and they each will have traveled
205 miles.
C. Liza will not pass Ralph, because she will never catch up with him.
D. Liza will pass Ralph after 5 hours, and they each will have traveled
325 miles.
Answer:
I'm pretty sure its D
Step-by-step explanation:
Liza will pass Ralph after 5 hours, and they each will have traveled 325 miles. Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Ralph and Liza are both driving from Los Angeles to Santa Fe.
Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way.
Liza leaves at 7:25 and averages 65 mph on the way.
The situation is modeled by this system will travel:
y = 60x + 25
y = 65x
where x is the number of hours after Liza leaves and y is the distance each
The time after Liza leaves will she pass Ralph will be
65x = 60x + 25
5x = 25
x = 5 hours
Then the distance covered by both after 5 hours will be
y = 65 (5)
y = 325 miles
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If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?
slope: 4/5 is a positive slope
positive slopes rises from left to rightpositive slopes falls from right to leftneither horizontal or vertical.The picture below shows some examples of equation with positive slope.
Answer:
rise from left to right
Step-by-step explanation:
Linear equation: \(y=mx+b\)
(where \(m\) is the slope and \(b\) is the y-intercept)
Positive slope: rise from left to right
\(m\) is a positive number
\(\textsf{e.g.}\:y=\dfrac45x+4\)
Negative slope: fall from left to right
\(m\) is a negative number
\(\textsf{e.g.}\:y=-\dfrac45x+4\)
Zero slope: horizontal line
\(m=0\)
\(\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45\)
Therefore, a horizontal line is \(y = a\) (where \(a\) is some constant)
Infinite slope: vertical line
\(m= \infty\)
\(\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}\)
There is no change in x-values for a vertical line, so:
\(\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty\)
We also usually call the slope of this line undefined.
Therefore, a vertical line is \(x = a\) (where \(a\) is some constant)
---------------------------------------------------------------------------------
Attached graph:
Positive slope: black line
Negative slope: blue line
Zero slope: green line
Infinite slope: red line
At the annual high school carnival, Dalton sells popcorn for $4 a bag. His cost for setting up a booth is $20. Today, his goal is to make a profit of $500. How many bags of popcorn must he sell to make a profit of $500?
Hint: 500 = 4x - 20
Answer:
130=x
Step-by-step explanation: Do +20 on both sides the 20 on the left side cancels and 500 + 20= 520. Bring down the 4x. Divide 4 on both sides. 4 divided by 4 cancels. 520/4= 130. So he needs to sell 130. Give me brainliest.
Kenny's kitten is growing rapidly. Over the last month, the kitten's weight increased by 12%. The kitten
now weighs 8.96 pounds. How much did Kenny's kitten weigh, in pounds, one month ago?
9514 1404 393
Answer:
8 lb
Step-by-step explanation:
The original weight W increased by 12% is ...
W + 12%·W = 8.96
1.12W = 8.96
W = 8.96/1.12 = 8.00
The kitten's weight a month ago was 8.0 pounds.