Given the coordinates A(-4,4), B(1, 4), C(-4, 1) and D(1, 1), explain what information you would need to find to prove that the quadrilateral is a rectangle.
Answers
As, the angles forms between ABC, BCD, CDA and DAB are right angles. The quadrilateral is proved as a rectangle.
To prove that the quadrilateral ABCD is a rectangle, we need to establish certain properties of the shape. Here are the pieces of information we would need to find:
Opposite sides are parallel: We need to confirm that AB is parallel to CD and BC is parallel to AD. To determine this, we can calculate the slopes of AB and CD as well as BC and AD. If the slopes are equal, then the sides are parallel.
Opposite sides are congruent: We need to verify that AB is equal in length to CD and BC is equal in length to AD. We can calculate the distances between these pairs of points using the distance formula. If the distances are equal, then the sides are congruent.
Diagonals are congruent: We need to check if AC is equal in length to BD. Again, we can calculate the distances between the respective points using the distance formula. If the distances are equal, then the diagonals are congruent.
Right angles: We need to determine if the angles at the vertices of the quadrilateral are right angles (90 degrees). One way to do this is by calculating the slopes of AB, BC, CD, and AD. If the product of the slopes of adjacent sides is -1, then the angles are right angles.
If all these conditions are met, then the quadrilateral ABCD can be proven to be a rectangle. As, the angles forms between ABC, BCD, CDA and DAB are right angles. The quadrilateral is proved as a rectangle.
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Related Questions
CHALLENGE ACTIVITY 2.3.2: Excel: Linear Regression
Answers
Three main implications for linear regression analysis are as follows:
(1) determining the strength of the predictor, (2) foreseeing an impact, and (3) trend forecasting.
Linear regression:
A fundamental and popular technique for predictive analysis is linear regression. Regression's overarching objective is to look at two things:
Accurately can a group of predictor variables forecast an outcome (dependent) variable.
Factors in particular, and how do they affect the outcome variable, are strongly predictive of both.
There are three main functions for regression analysis:
Assessing predictor power, foreseeing an outcome, and trend forecasting.
The regression equation's simplest version, y = c + b*x, has one dependent and one independent variable.
where,
y is the estimated score for the dependent variable, c is a constant, b is the regression coefficient, and x is the estimated score for the independent variable.
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Please help me answer this math question
Answers
According to the information, we can infer that she is going to pay $108 as total for the photos; but every photo has a different price from $12 to $0.75
How to calculate the price of each photo?To calculate the price of each photo we have to take into account how many photos fits in a sheet of pictures. Then we have to divide the total price of each sheet in the number of photos she is going to get from each sheet.
Picture for her parentsMeasures: 8 * 10Quantity: 1Price: 1 * $12 = $12Pictures for her grandparentsMeasures: 5 * 7Quantity: 8Price of sheets: 4 * $12 = $48Price of each photo: $12 / 2 = $6Pictures for her aunts and unclesMeasure 3 * 5Quantity: 5Price of sheets: 2 * $12 = $24Price of each photo: $12 / 3 = $4Pictures for her friendsMeasure: Wallet SizeQuantity: 32Price of sheets: 2 * $12 = $24Price of each photo: $12 / 16 = $0.75Then she is going to use 9 sheets, so she is going to pay $108 in total.
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What is a table chart?
Answers
A table chart can be used to arrange data in rows and columns. Tables are frequently used in various types of study, communication, and data analysis.
what is sequence ?A sequence is a group of numbers (sometimes known as "terms"), for instance, 2, 5, 8. Some sequences have a particular pattern that can be used to extend them indefinitely. Use the example of 2,5,8 and continue the series by adding 3. There are formulas that outline the locations of words inside a sequence. Informally, a sequence is a group of objects that are arranged in some way in mathematics. It is made up of parts, much like a set. The entire, potentially infinite number of arranged objects is referred to as the length of the sequence. putting two or more things in a logical order. Chronological.
given
A table chart can be used to arrange data in rows and columns.
Tables are frequently used in various types of study, communication, and data analysis.
Tables can be found in a variety of areas, including printed materials, handwritten notes, software, architectural details, and traffic signs.
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find the anwser below in the image (give brainlist)
Answers
The missing length, By calculating is FG length is 24 .
What is Quadrilateral ?
Quadrilateral can be defined as the closed shape in which it contains four sides and sum of interior angles are always 360 degrees .
Given ,
Quadrilateral JKLM is similar to EFGH.
The two quadrilaterals are similar. So,
Given lengths in each Quadrilateral are
KJ = 9 KL =18 LM=12 MJ = 21
EF = 12 GH = 16 EH = 28
JK/KL = EF/FG
9 / 18 = 12 / FG
1/2 = 12 / FG
FG = 24
Hence, the missing length FG length is 24 .
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Gladys classifies the following system of equations. Y = 6x + 2 y = 6x + 1 select correct or not correct for each statement.
Answers
Answer:
No statements are included in the question. Several observations are noted.
Step-by-step explanation:
y = 6x + 2
y = 6x + 1
y=mx+b is the equation for a straight line, where m is the slope and b the y-intercept.
Observations
1. These are both straight lines.
2. The slopes are both the same: +6. The lines are parallel.
3. Since they are parallel, they will never intersect (within the solar system)
4. The second line is one unit lower than the first: it's y-intercept is +1, comapared to +2 for the first.
5. Since they do not intercept, there is no solution for this system of equations.
These will likely match some of the statements.
X/2-4=8
Solve it
…….
Answers
Answer: x = 24
Step-by-step explanation:
Answer: x= 24
Step-by-step explanation:
so first you have to find the common dominator which would be 8 then you would have to combine fractions with the common dominator then you need to multiply all the numbers
how many total wholes are in 7/3.
Answers
Answer:
The fraction 7/3 cannot be expressed as a whole number. The fraction 7/3 can be expressed as a decimal, which is 2.3333.... and goes on forever, or as a mixed number, which would be 2 and 1/3.
It's important to note that when dividing two integers, the result is not guaranteed to be a whole number.
Step-by-step explanation:
Select the correct answer from each drop-down menu. two triangles abc and def are represented. segment ac and segment de has single tick mark. angle c and angle d has double tick marks on arc. if , then ∆abc and ∆efd are congruent by the asa criterion. if , then ∆abc and ∆efd are congruent by the sas criterion.
Answers
∆ABC and ∆EFD are congruent by the ASA criterion as segment AC and segment DE has single tick mark, angle A and angle E has single tick marks on arc and angle C and angle D has double tick marks on arc.
The ASA (Angle-Side-Angle) criterion states that if two triangles have two angles and the included side congruent (identical), then the two triangles are congruent.
In this case, both triangles ABC and DEF have two angles congruent (angle A and angle E, and angle C and angle D), and the included side (segment AC and segment DE) congruent. Therefore, by the ASA criterion, the two triangles ABC and DEF are congruent.
To be more precise Angle A and angle E has single tick marks on arc which means both angles are congruent and angle C and angle D has double tick marks on arc which means both angles are congruent. As we know, if two triangles have corresponding parts congruent, the two triangles are congruent.
If segment BC equals to segment FD we can prove that the triangles, ∆ABC and ∆EFD are congruent by the SAS criterion.
--The question is incomplete, answering to the question below--
"Two triangles ABC and DEF are represented. Segment AC and segment DE has single tick mark. Angle A and angle E has single tick marks on arc. Angle C and angle D has double tick marks on arc. If , then ∆ABC and ∆EFD are congruent by the ASA criterion. If , then ∆ABC and ∆EFD are congruent by the SAS criterion."
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Which of the following statements is true? a. Bonds have more risk than stocks, but offer more return. b. Stocks have more risk than bonds, but offer more return. c. Stocks tend to offer a greater risk, while bonds tend to offer a greater return. d. Bonds tend to offer a greater risk, while bonds tend to offer a greater return. Please select the best answer from the choices provided Group of answer choices A B C D
Answers
option A is correct, Bonds have more risk than stocks, but offer more return.
What is Investment?Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time.
We need to find among the given statements which one is tue
Bonds have more risk than stocks, but offer more return.
Stocks have more risk than bonds, but offer more return.
Stocks tend to offer a greater risk, while bonds tend to offer a greater return.
Bonds tend to offer a greater risk, while bonds tend to offer a greater return
In general, investments that are riskier tend to provide higher returns over time than investments with less risk. So the stock and bond markets tend to reward risk- taking over the long term.
Hence, option A is correct, Bonds have more risk than stocks, but offer more return.
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What are the 3 main viewpoints to look at a 3D object?
Answers
The three main viewpoints for looking at a 3D object are the top view, the side view, and the front view.
What is vector?Vector is a physical properties.
The top view, also known as the plan view, is a view of the object from above. This view shows the overall shape of the object, as well as its orientation in space. The side view, also known as the elevation view, is a view of the object from the side. This view shows the details of the object's depth, thickness, and height. The front view, also known as the orthographic view, is a view of the object from the front. This view shows the details of the object's width, length, and height. By looking at the object from each of these three views, one can gain a better understanding of its full three-dimensional nature.
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The population of a town increased from 3750 in 2006 to 6150 in 2012. Find the absolute and relative (percent) increase.
Answers
Answer:
The absolute diffrence is 1050
The relative percentage is 32.3076%
Step-by-step explanation:
The work is too complicated to write but if u really do need an explanation let me know and I can do it. Sorry Im tired but I will do if u need it.
The area of a trapezium is 90m². If the sum of the parallel sides is 30m. Find the perpendicular height of the trapezium
Answers
The perpendicular height of the trapezium is given as follows:
h = 6 m.
How to obtain the area of the trapezium?The area of a trapezium with parallel sides a and b, and height h, is given by the equation presented as follows:
A = 0.5h(a + b).
The sum of the parallel sides is 30m, hence:
a + b = 30.
The area is of 90m², hence the height of the trapezium is obtained as follows:
15h = 90
h = 90/15
h = 6 m.
(as a + b = 30, hence 0.5(a + b) = 15).
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We know
Area =1/2(Sum of parallel sides)×height
90=1/2(30)h15h=90h=6mWhere is 0 latitude and 0 longitude?
Answers
0 degree latitude and 0 degree longitude is at equator
Longitudes: The vertical lines running north-south, join the two poles. They are called the meridians of longitude. They are spaced farthest apart at the equator and converge at a point at each pole.
Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.
What is the uses of latitude?
Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.
The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.
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30% of the money raised at every school bake sale goes to the 6th grade.$120 of the $250 raised goes to the 7th graders. What percent is this?
Answers
$ 286 is the percent.
What in mathematics is a percentage?
When the denominator is 100, percentages are really just fractions. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).
30% * 120 = X
30/100 * 120 = X
36 = X
the $250 raised goes to the 7th graders.
250 + 36
= $ 286
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How do you use table name in formula?
Answers
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed below.
About table.A statistic list is a group of figures that displays the results of a calculation with several inputs. Data is organized in rows and columns and is composed of descriptions and numbers. It is simple to remember the table and the pattern of 10. The numerals are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50, in that order. Value mapping is a technique for displaying the relationships between various data elements. The values table can be useful in any science class.
Here,
These are the actions:
1) Enter the table name starting after the opening parenthesis. Excel will display any names that match as you write the initial letter.
2) Select the name of the table in the list using the arrow keys.
3) To add a name to your formula, double-click the chosen name or hit the Tab key.
4) After typing the final parentheses, hit Enter.
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed below.
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The temperature is -3F at 7:00 a.m during the next 4 hours,the temperature increases to 21F.what is the temperature at 11:00 a.m?
Answers
Answer: 18 degree F
Step-by-step explanation: we do -3 + 21 = 18
A box that is 4 ft x 4 ft x 4 ft comes with 8 dodge-balls in it. How many dodge-balls can fit into a room that has a volume of 250 ft³
166 dodge-balls
58 dodge-balls
31 dodge-balls
39 dodge-balls
Answers
When the box that is 4 ft x 4 ft x 4 ft comes with 8 dodge-balls in it, 39 dodge balls can fit into a space that has a volume of 250 ft3.
what is volume ?Its volume is the area that is enclosed by an object's boundaries in three dimensions. The quantity of three-dimensional space occupied by an object is measured by its volume, which is measured in cubic units. An example of a cubic unit is the cm3 or in3. However, a substance's mass can be used to measure how much matter it contains. It's usual practice to calculate an object's mass using its weight (in pounds or kilograms). Contrary to the fundamental equation for the area of a rectangular form, which is length, breadth, and height, the basic equation for volume is length, width, and height.
given
volume of cuboid = l *b*h
= 64ft3
When the box that is 4 ft x 4 ft x 4 ft comes with 8 dodge-balls in it, 39 dodge balls can fit into a space that has a volume of 250 ft3.
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Triangle ABC ~ triangle DEF. Use the image to answer the question.
Determine the measurement of EF.
EF = 1.1
EF = 1.39
EF = 2.37
EF = 3.3
Answers
Answer:
EF = 2.37
Step-by-step explanation:
It's given that these are similar triangles.
In similar triangles, the side lengths are proportional.
We can write the following equation based on this information:
[tex] \frac{11}{3.3} = \frac{7.9}{ef} [/tex]
Cross multiply fractions11EF = 27.03
Divide both sides by 11EF = 2.37
k/6+8=5
show work
solve k
Answers
Answer: K = -18
Step-by-step explanation:
Given equation: K/6+8=5
Let's subtract 8 from both sides of the equation
K/6 = -3
Multiply both sides by 6
K = -18
A department store buys 300 shirts at a cost of $1,800 and sell them for $10 each. Find the percent markup rounded to the nearest percent.
Answers
The percent markup of the department store is given as follows:
67%.
How to obtain the percent markup?The percent markup is obtained applying the proportions in the context of this problem.
A department store buys 300 shirts at a cost of $1,800, hence the cost per shirt is given as follows:
1800/300 = $6.
The shirts are sold by $10, hence the markup is given as follows:
10 - 6 = $4.
The percent markup is given by the division of the markup by the initial price and multiplied by 100%, hence:
4/6 x 100% = 67%.
(rounded to the nearest percent).
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Answer:
67%
Step-by-step explanation:
√15x² • √10x³ process
Answers
Factoring, using square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic equation.
How many techniques exist to identify roots?Divide the given number into its prime factors as the first step. Form similar factor pairs in which both factors are equal. This is step two. Take one factor from the pair in step three. Step 4: Calculate the product of the factors you got by taking one from each pair of factors.
How do you locate an equation's four roots?A number's fourth root is the same as its square root's fourth root. The radical is multiplied by 4 to represent the fourth root, representing it as 4. For instance, 16's fourth root is is 2, i.e. 2 × 2 × 2 × 2 = 16.
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The complete question is " Simply quadratic equation √15x² • √10x³ . "
what is 8x+y=-16 -3x+y=-15
Answers
Answer:
-1/11, -168/11
The dashes are for a fraction
Step-by-step explanation:
3x*2 -10x +7/ x +4 which of the following shows the division problem in synthetic division form?
Answers
We can write the given expression (3x² - 10x + 7/ x + 4) in synthetic form as :
- 4 |3 -10 7
What is Synthetic Division?In algebra, the synthetic division is one of the methods used to manually perform the Euclidean division of polynomials. The division of polynomials can also be done using the long division method. But, in comparison to the long division method of polynomials, the synthetic division requires lesser writing and fewer calculations. That means the synthetic division is the shorter method of the traditional long-division of a polynomial for the special cases when dividing by a linear factor.Given is the expression as -
(3x² - 10x + 7/ x + 4)
We can write the given expression in synthetic form as -
- 4 |3 -10 7
Therefore, we can write the given expression (3x² - 10x + 7/ x + 4) in synthetic form as :
- 4 |3 -10 7
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I put RT can someone explain what I did wrong
Answers
Step-by-step explanation:
please see attached for explaination
NEED HELP ASAP - Algebra 2 - 50 Points
Answers
Answer:
what do you need help on there is no question to answer
Step-by-step explanation:
Craig is considering four loans. Loan L has a nominal rate of 8.254%, compounded daily. Loan M has
nominal rate
of 8.474%, compounded weekly. Loan N has a nominal rate of 8.533%, compounded monthly. Loan O has a nominal
rate of 8.604%, compounded yearly. Which of these loans will offer Craig the best effective interest rate?
a. loan
b. loan M
C.
loan N
d
loan O
Answers
The loan that offers the best effective annual rate is loan N (option c)
What loan that offers the best effective annual rate?The effective annual rate is the actual interest rate that is earned on an investment after accounting for the number of compounding.
Effective annual rate = (1 + APR / m ) ^m - 1
Where M = number of compounding
Effective annual rate for loan L = (1 + 0.08254/365)^365 - 1=0.08603 = 8.603%
Effective annual rate for loan M = (1 + 0.08474/52)^52 - 1= 0.08836 = 8.836%
Effective annual rate for loan N = (1 + 0.08533/12)^12 - 1= 0.08875 = 8.875%
Effective annual rate for loan O=8.604%
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In the triangle below, suppose that m/C=(5x-7), m/D= (2x+3)°, and m/E=x°.
Find the degree measure of each angle in the triangle.
Answers
On solving the provided question, we can say that sum of all angles of a triangle is 180, angle 1 = 103, angle 2 = 47 and angle 3 = 22
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in the given triangle
sum of all angles of a triangle is 180.
5x - 7 +2x +3 +x = 180
8x = 176
x = 22
angle 1 = 103
angle 2 = 47
angle 3 = 22
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Shop ell 240 necklace in a month. 180 old in hop the ret online. What' the ratio of hop ale and online ale in implet form
Answers
The ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.
The total number of necklaces sold in the shop and online is 240 necklaces.
The number of necklaces sold in the shop is 180 necklaces.
The number of necklaces sold online is 60 necklaces (240 total - 180 shops).
To find the ratio of shop sales to online sales, we divide the number of necklaces sold in the shop by the number sold online.
So, the ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.
This means for every 3 necklaces sold in the shop, 1 necklace is sold online.
Therefore, The ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.
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please help ASAP!!
Which of the following polynomial functions is graphed below?
A. f(x)=(x+5)(x+1)^2(x-1)
B. f(x)=(x-5)(x-1)^2(x-1)
C. f(x)=(x+2)^2(x-3)(x+1)
D. f(x)=(x-2)^2(x+3)(x-1)
Answers
Considering the graph shown, the polynomial represented is
A. f(x) = (x + 5) (x + 1)² (x - 1)How to determine the equation graphedThe x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.
Tracing the graph, the zeros or the x intercepts on the graph it can be traced to be:
x = -5x = -1x = 1solving the zeros
x = -5, x + 5 = 0
x = -1, x + 1 = 0
x = 1, x - 1 = 0
equating together
(x + 5)(x + 1)(x - 1) - these values are only present in option A. The effect in x = -1 will result to (x + 1)²
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Admission to the state fair is $8 for adults and $7 for students. Write two equivalent expressions if two adults and two students go to the fair. Then find the total admission cost.
Answers
In linear equation, 44 is the total admission cost.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Linear equations with two variables, and so forth, are what the equation is known as if it has two variables.
Admission to the state fair = $8 .
adults and $7 = students
8 * 3 = 24
5 * 4 = 20
24 + 20 = 44
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