Use the figure above of Quadrilateral ABCD to answer the following: Use the check list to determine which properties fit. You will need to find the distance and slope of AB, BC, CD, and AD. option 1 : Opposite sides (AB, CD and BC, AD) have equal slopes making the parallel to each other, making ABCD a parallelogram.option 2: There is only two sides that have equal slopes, making them parallel to each otheroption 3: The slope of adjacent sides (like AB and BC) have negative reciprocals for slopes, making them perpendicular, which makes four 90 degree anglesoption 4: The distance of the sides AB, BC, CD, and AD are all congruent option 5 : The distance of the sides AB and CD are congruent and BC and AD are congruent, making opposite sides congruent, but not all four sides
Answers
Explanation:
First, let's draw the quadrilateral. So:
Then, the distance d and slope m between two points with coordinates (x1, y1) and (x2, y2) can be calculated as:
\(\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}\)So, the distance and slope of AB where A is (-5,3) and B is (0, 6) are:
\(\begin{gathered} d=\sqrt[]{(0-(-5))^2+(6-3)^2} \\ d=\sqrt[]{(0+5)^2+3^2} \\ d=\sqrt[]{34} \\ m=\frac{6-3}{0-(-5)}=\frac{3}{0+5_{}}=\frac{3}{5} \end{gathered}\)The distance and slope of BC where B is (0,6) and C is (5, 3) are:
\(\begin{gathered} d=\sqrt[]{(5-0)^2+(3-6)^2}=\sqrt[]{34} \\ m=\frac{3-6}{5-0}=-\frac{3}{5} \end{gathered}\)The distance and slope of CD where C is (5,3) and D is (0, 0) is:
\(\begin{gathered} d=\sqrt[]{(0-5)^2+(0-3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-5}=\frac{-3}{-5}=\frac{3}{5} \end{gathered}\)The distance and slope of AD where A is (-5,3) and D is (0, 0) are:
\(\begin{gathered} d=\sqrt[]{(0-(-5))^2+(0-3)^2} \\ d=\sqrt[]{(0+5)^2+(3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-(-5)}=-\frac{3}{5} \end{gathered}\)Therefore, the correct answers are:
Option 1 : Opposite sides (AB, CD, and BC, AD) have equal slopes making them parallel to each other, making ABCD a parallelogram.
Option 4: The distance of the sides AB, BC, CD, and AD are all congruent
Related Questions
Which value is a solution for the equation tan x/2=1
Answers
\(~~~~~\tan \left( \dfrac x2 \right) = 1\\\\\\\implies \dfrac x2 = n\pi + \dfrac{\pi}4\\\\\\\implies x = 2n\pi + \dfrac{\pi}2\)
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
Answers
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
for such more question on volume
https://brainly.com/question/6204273
#SPJ8
Determine the length of a chord whose central angle is 80° in a circle with a radius of 4 centimeters. Question 9 options: 3.94 cm 2.57 cm 5.14 cm 7.88 cm
Answers
The length of the chord whose central angle is 80° in a circle with a radius of 4 centimeters is 5.14 cm using the law of cosines.
Given that,
Central angle of a chord = 80°
Radius of the circle = 4 centimeters
There will be a triangle formed by the chord and the two radius.
Let a be the length of the chord.
Using the law of cosines,
a² = 4² + 4² - (2 × 4 × 4) cos (80°)
a² = 16 + 16 - 32 cos (80°)
a² = 32 - 32 cos (80°)
a² = 26.4433
a = 5.14
Hence the length of the chord is 5.14 cm.
Learn more about Law of Cosines here :
https://brainly.com/question/17289163
#SPJ1
b. Does there appear to be any relationship between these two variables?
a. colder average low-temperature seems to lead to higher amounts of snowfall
b. there is no relationship
c. colder average low-temperature seems to lead to lower amounts of snowfall
c. Based on the scatter diagram, comment on any data points that seem to be unusual.
an average snowfall of nearly 100 inches.
a. no city has
b. only one city has
c. two cities have
d. three cities have
e. four cities have
f. more than four cities have
Answers
1. There is no relationship
2. Two cities have an average snowfall of nearly 100 inches.
What is the scatter plot?
A scatter plot, also known as a scatter diagram or scatter graph, displays the relationship between two variables. It is particularly beneficial for identifying any patterns or trends in the data and showing how one variable might be related to another.
In a scatter plot, each data point is represented on the graph by a dot or marker. The horizontal axis (x-axis) is frequently used to represent the independent variable or predictor, while the vertical axis (y-axis) is frequently used to represent the dependent variable or reaction. Each dot's locations on the graph correspond to the values of the two variables for that particular data point.
Learn more about scatter plot:https://brainly.com/question/29366075
#SPJ1
A manufacturing company plans to coat the entire exterior of a cylindrical shipping container with a 0.075-mm layer of special rust proof paint. The cylinder has a radius of 5 cm and height of 12 cm. The paint costs $0.35 per cubic centimeter. What is the cost of the paint for each cylinder?
Answers
Answer:
534.07cm² * 0.35=186.9245 dollar
• Write this number as a fraction:178.25
Answers
Answer: 178 1/4 or 713/4
Step-by-step explanation:
178.25 = 178+0.25 = 178+25/100
gcd(25,100) = 25
178.25 = 178+(25/25)/(100/25) = 178+1/4 = 713/4
What is the area of the parallelogram 60ftx67ft-52ft
Answers
To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.
New height = 67ft - 52ft = 15ft
Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.
Therefore, the area of the parallelogram is 900 square feet.
~~~Harsha~~~
In 2000, the total population of the U.S. was 281.4 million people. In 2010, it was 308.7 million people. What is the average rate of change in the total population over this time period?
2.73 million people per year
27.3 million people per year
13.6 million people per year
1.36 million people per year
Answers
Answer:
2.73 million people per year
Step-by-step explanation:
Turn sentences into coordinates/points:
In 2000, 281.4 million people
(x₁, y₁) = (2000, 281.4)In 2010, 308.7 million people
(x₂, y₂) = (2010, 308.7)Rate of population per year:
\(\sf \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)
\(\rightarrow \sf \dfrac{308.7-281.4}{2010-2000}\)
\(\rightarrow \sf 2.73 \ million \ people\)
3. You go to a restaurant and spend $82. You find out the bill is 15% off, how much do you pay?
Answers
Answer:
$69.7
Step-by-step explanation:
82*0.15(15%)
12.3
82-12.3=
69.7
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer: \((f \cdot g)(x) = x^4-11x^2+30.\)
Step-by-step explanation:
We want to find the value of \(f(g(x)).\) To do this, we plug in \(g(x)\) into the expression for \(f(x).\) This gives us:
\(f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.\)
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answers
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
Choose the equation of the line that is parallel to the y-axis.
x = -2
x + y = 0
x = y
y = 2
Answers
Answer:
x=-2
Step-by-step explanation:
If x always = -2, it is a straight vertical line which means it is parallel to the y axis
Explain how you have caring degrees of control over the three types of income, and how much control you have ove each.
Answers
There are 3 types of income.
1) Earned income
2) Portfolio income
3) Passive income
What is income?Income can be defined as the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms. Income is difficult to define conceptually and the definition may be different across fields.
here, we have,
Earned income meaning is the type of income earned after exerting time and effort in you part. in which , Salary is an earned income. If you stop working, you'll stop having an earned income. The more time spent working, the more income you generate (overtime pay).
Portfolio income can b e stated as better identified as capital gains. This is earned when you sell an asset at a higher price than when you bought it. The difference from the selling price and its cost is the portfolio income. Your portfolio may include stocks, real estate properties, and other assets (antiques, cars).
Passive income is income generated without exerting effort from you. This income is generated from you bought or existing assets. Rental income is an example of this. You will always receive rent from you own real estate property.
To learn more on income click;
https://brainly.com/question/1807148
#SPJ9
Simplify: (9w3 + 4W - 4) (2w3 + 6W +9
)
Answers
Answer:
18 w 6 + 62 w 3 W + 73 w 3 + 24 W 2 + 12 W − 36
Step-by-step explanation:
What is the standard form of an equation with p = 3/2 and phi=300 degrees?
A. x-sqrt3y-3=0
B. sqrt3x-y-3=0
C. x+sqrt3y-3-0
D. sqrt3x + y + 3=0
Answers
The standard form of an equation with p = 3/2 and phi=300 degrees is; x(√3) + y - 3 = 0
What is the Standard form of the equation?
The standard form of this type pf equation has the general format as;
x(cos Ф) + y(sin Ф) = p
where;
p is perpendicular distance from origin
Ф is the angle between perpendicular and the positive x-axis.
Now, we are given;
p = 3/2
Ф = 30°
Thus, the equation of these given values will be expressed as;
x(cos 30) + y(sin 30) = 3/2
We know, that;
cos 30 = (√3)/2
sin 30 = 1/2
Thus, we have;
x((√3)/2) + y(1/2) = 3/2
Multiply through by 2 to get;
x(√3) + y = 3
⇒ x(√3) + y - 3 = 0
Read more about Standard form of Equation at; https://brainly.com/question/11600179
#SPJ1
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answers
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
giving brainliest to whoever gives me the answers (to a and b) :)
Answers
Answer:
a.) Graph is attached; blue is Petunia's and red is Billy's
b.) Number of Hours: 4 | Cost: 32 Pounds
1/3x+6=-8
solve for x
Answers
Answer:
X: should = 0.7, you already have 1/3 , and + 6= 8. take 8-6 = 2: 2- 1/3 = (0.7) so the abswer should be X= 0.7.
I don't understand 1/2 +1/6 what the answer
Answers
Answer:
4/6
Step-by-step explanation:
1/2=3/6+1/6=4/6
Answer:
4/6. If you reduce it you get 2/3
Step-by-step explanation:
Please help me find the equation it so hard
Answers
Answer:
y = 4/5x + 3/5
Step-by-step explanation:
In the slope-intercept form, y = mx + b, we need to find the values of the slope (m) and the y-intercept.
Using points (-7, -5) and (3, 3), we can calculate for the slope of the equation given the formula:
\(m = \frac{y2 - y1}{x2 - x1}\)
Let (x1, y1) = (-7, -5)
and (x2, y2) = (3, 3).
Plug the given values into the slope formula:
\(m = \frac{y2 - y1}{x2 - x1} = \frac{3 - (-5)}{3 - (-7)} = \frac{3 + 5}{3 + 7} = \frac{8}{10} = \frac{4}{5}\)
Therefore, the slope of the line is 4/5.
Next, we need to find out the value of the y-intercept (b).
We can use one of the given points, (3, 3), along with the slope (4/5) to solve for the y-intercept:
y = mx + b
3 = 4/5(3) + b
3 = 12/5 + b
Subtract 12/5 from both sides:
3 - 12/5 = 12/5 - 12/5 + b
3/5 (or 0.6) = b
Therefore, the y-intercept is 3/5.
We can now establish our linear equation as:
y = 4/5x + 3/5
Please mark my answers as the Brainliest if you find this solution helpful :)
What value of x makes this equation true? 12 x minus 15 = 6 minus 3 x
Answers
Answer:
Exact Form - 7/5
Decimal form - 1.4
Mixed Form 1 2/5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
\(12x - 15 = 6 - 3x\)
Move all x values to one side of the equation, and all constant values to the other side of the equation, and don't forget to flip the signs when going from left to right or vice versa.
\(12 x + 3x = 6 + 15\)
\(15x = 21\)
\(x = \frac{21}{15} = \frac{7}{5} \)
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answers
Answer:
The correct answer is 56.6666666667 second's
Answer:
56 2/3
Step-by-step explanation:
Please help me!!!!!!!!!!!!!!!!!!!!!
fill in the blanks please!!
Words you can use are in the picture.
1. A comparison of one number to another by division is a ________.
2.________ name the same comparison.
3. A ratio that compares quantities with different units is a ________.
4. A _______ is a ratio, or rate, that compares a number to 100
5._______ a fraction or a ratio by dividing the numerator and denominator by a common factor.
Answers
Answer:
1. Ratio
2. Equivalent Ratios
3. Rate
4.Percent
5.Simplify
Madeline invested $960 in an account paying an interest rate of 3.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,250?
Answers
Answer:
It is 8 years
Step-by-step explanation:
Answer:
Answer:
It is 8 years
Step-by-step explanation:
Step-by-step explanation:
A to D is an example of _____________?
A. reflection across the line y = 1
B. reflection across the line y = x
C. y-axis symmetry
D. x-axis symmetry
Answers
Answer:
D
Step-by-step explanation:
A and D are both equidistant from the x- axis, that is
A is 3 units above the x- axis and D is 3 units below the x- axis
then the x- axis is the line of symmetry
I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least
Answers
Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.
Define comparing.Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.
Given,
Comparing the following using <, > or = ,
Numbers:
√17 and 29/7
For √17
Simplifying,
√17 = 4.123
For 29/7
29/7 = 4.14
√17 < 29/7
To learn more about comparing, visit:
https://brainly.com/question/29467965
#SPJ1
someone do this please help
1. Write the ratio below as a decimal (per one). Round your answer to the nearest hundredths place.
2 weeks to 46 days
2,Professor Ivy records the following scores on her final: 35, 48, 48, 52, 69, 72, 81, 88, 92. What is the median score for the final?
3. Professor Ivy’s students have the following scores on her Exam. Find the mean value, round to the tenths place.
76 88 67 88 91 69 45 92 52 38 98
Answers
Answer:
0.30 for answer 1
65% for answer 2
73.0% for answer 3
Hope it helps
Karen made 175 quarts of punch for her son and 11.3 quarts for
her daughter. How many quarts of punch did she make in total?
Answers
Answer:
186.3 quarts of punch
Step-by-step explanation:
175+11.3=186.3
it asks how much did she make in total so you would need to add the 2 together to get the total
It costs $145 for 10 people to attend a concert. How much does it cost a group of 8 people?
Answers
Answer:
It would cost $116 for a group of 8 people.
Step-by-step explanation:
You would divide 145/10 to find the cost for 1 group (which would be $14.5). Then, you would multiply 14.5x8 to get your answer of $116.
Answer:
$116
Step-by-step explanation:
1. First, let's find how much it costs for 1 person to attend a concert by dividing 145 by 10.
\(\frac{145}{10}\) \(14.5\)2. Next, let's multiply 14.5 by 8.
\(14.5 * 8\) \(116\)Therefore, it costs a group of 8 people $116 to attend a concert.
A light bulb consumes 2100 watt-hours in 3 days and 12 hours. How many watt-hours does it consume per day?
Answers
Answer:
below
Step-by-step explanation:
12 hours is .5 day so a total of 3.5 days
2100 w-h / 3.5 d = 600 w-h per day