ABCD is a quadrilateral with A(8,21),B(10,27),C(26,26) and D(18,2). Determine whether ABCD is a trapizoid
Answers
ABCD is a trapezoid
Step-by-step explanation:Given points of the quadrilateral:
A(8,21),B(10,27),C(26,26) and D(18,2)
To show whether ABCD is a trapezoid, we find a pair of parallel sides in ABCD. If two of its sides are parallel to each other then ABCD is a trapezoid.
Step 1: With the given points, sketch a graph. The diagram is attached to this response.
Step 2: As shown in the diagram, the two sides that are likely to be parallel are AB and CD
If these two sides have same gradient/slope, then the quadrilateral is a trapezoid.
Now calculate the slopes of those sides using the slope formula;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Calculate the slope of AB (where x₁ = 8, y₁ = 21, x₂ = 10, y₂ = 27)
m(AB) = [tex]\frac{27-21}{10-8}[/tex]
m(AB) = [tex]\frac{6}{2}[/tex]
m(AB) = 3
Calculate the slope of CD (where x₁ = 26, y₁ = 26, x₂ = 18, y₂ = 2)
m(CD) = [tex]\frac{2-26}{18-26}[/tex]
m(CD) = [tex]\frac{-24}{-8}[/tex]
m(CD) = 3
Since the two slopes - m(AB) and m(CD) slopes are equal to 3, the quadrilateral ABCD is a trapezoid.
Related Questions
1. Are the two expressions below
equivalent
25x + 20y = 5x(5+4y)
Answers
Answer:
No.
Step-by-step explanation:
25x + 20y = 5x(5 + 4y)
Distribute the 5x inside the (5 + 4y).
5x * 5 = 25x
5x * 4y = 20xy
25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.
I'll give brainliest if u are right
Answers
Answer:
0.3
Step-by-step explanation:
What is the difference between 4.091 and 2.174?
A
6.265
B
2.123
с
2.117
D
1.917
Answers
Answer:
D
Step-by-step explanation:
4.091-2.174= 1.917
Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 71 beats per minute and a standard deviation of 25 beats per
minute.
Use this table or the ALEKS calculator to find the percentage of healthy adults who have resting pulse rates that are less than 83 beats per minute. For your
Intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.2396).
Answers
Answer:
Where’s the table?
Step-by-step explanation:
A container shaped like a rectangular prism is filled with sugar.It measures 14 inches by 6 inches by 3.5 inches.How much sugar does the container hold?
Answers
Answer:
294 in^3
Step-by-step explanation:
Sugar it can hold can be determined by calculating the volume of the prism
volume of a prism = length x width x height
14 x 6 x 3.5 = 294 in^3
5x+7y=3914. I'm not quite sure how to write the x and y! First answer will get Brainliest, thanks!
Answers
Answer:
hanges made to your input should not affect the solution:
(1): Dot was discarded near "4.".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+7*y-(3914)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 5x+7y-3914 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+7y-3914 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286
y-intercept = 3914/7 = 559.14286
Calculate the X-Intercept :
When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000
x-intercept = 3914/5 = 782.80000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.429/2.000 = -0.714
Geometric figure: Straight Line
Slope = -1.429/2.000 = -0.714
x-intercept = 3914/5 = 782.80000
y-intercept = 3914/7 = 559.14286
Step-by-step explanation:
Answer:
y= -5/7x+3914/7
Step-by-step explanation:
Slope form is y=mx+b
5x+7y=3914
7y = -5x+3914 minus the 5x from each side
7y=-5x+3914 divide 7 from each side --> y= -5/7x+3914/7
So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.
The area of a rectangular field is 4368 m.
If the width of the field is 56 m, what is its length?
Length of the field:
Answers
Answer:
78m
Step-by-step explanation:
We can use the formula of area of rectangle which is the product of length and breadth.
=> A = l * b
=> 4368m² = 56m * l
=> l = 4368m²/56m
=> l = 78m .
Hence the length of the rectangle is 78m.20 points pls answer!
Answers
Answer:
a)0.879
Step-by-step explanation:
divide 87.9 by 100
ANSWER ASAP I WILL MAKE BRAINLYIST
solve 1x+2y=4, -1x-4y=-14 using elimination
NO LINKS (i need the steps not just the answer)
Answers
X+2y=4
+-x-4y=-14
——————
-2y=-10, y=5, x=4-10=-6
Answer:
x = -6
y = 5
Step-by-step explanation:
Add the equations
1x + 2y = 4
-1x - 4y = -14
————————
-2y = -10
Divide both sides by -2
y = 5
Substitute for y = 5 into either equation
using 1x + 2y = 4
1x + 2(5) = 4
1x + 10 = 4
Subtract 10 from both sides
1x = -6
x = -6
Solution
x = -6
y = 5
Andre received and spent money in the following ways last month. For each example, write a positive or negative number to represent the change in money from his perspective.
His uncle gave him $25 as a present.
He earned $18 dollars tutoring.
He spent $10 on a book.
Answers
Answer:
+25;+18;-10
Step-by-step explanation:
Ok so let's break down the scenario step by step:
His uncle gave him $25 so that means it's positive so +25 Now he earned $18 so that means it is also positive so +18And now he spent $10 which means it is negative so - 10(And of you want to find out the amount left with him,
(25+18)-10
=43-10
=$33)
Hope this helps :)
When Austen's parents are away celebrating their anniversary, he gets to sleepover for a week at his
grandparents' house. Afterwards, Austen decides to make his grandparents a photo album of their time
together. There are 7 pages in the album. Austen puts the same number of photos on each page, for a
total of 42 photos.
Which equation can you use to find the number of photos p on each page?
P = 42
7p = 42
P + 7 = 42
D-7=42
7
Solve this equation for p to find the number of photos on each page.
photos
Submit
Answers
Answer:
The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b
Step-by-step explanation:
brainliest pls
Write the equation of a line with a slope of 2/3 going through the point (-15, -22)
Answers
Answer:
y=(2/3)(x+15)-22
Step-by-step explanation:
You use the slope point equation which is y-y1=m(x-x1) or y=m(x-x1)+y1 where m is the slope and x1 and y1 are the coordinates you plug in.
Therefore, 2/3 is the slope m and (-15, -22) are the coordinates for x1 and y1.
y=(2/3)(x-(-15)) + (-22)
y=(2/3)(x+15)-22
The diagram shows a triangle.
What is the value of z?
Answers
Answer:
z=31°
Step-by-step explanation:
32°+117°+z=180°{ sum of angle of triangle}
z=180-149
z=31°
stay safe healthy and happy.Answer:
31 degrees = x
Step-by-step explanation:
a triangle's sum is 180 degrees
let's form an equation that allows us to work backwards and find this
add the other two angle measures to x and let the sum be 180
32+117+x=180
31 is the difference and therefore the missing angle measure
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
round 420.86827 correct to 1 decimal place.
thank u
Answers
Answer:
420.9
Step-by-step explanation:
420.86827 ≈ 420.9 because we need to round to one decimal place.
Since 6 is greater than 5, we round 8 up to make it 9
420.9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
5 x 1/5 is equal to
А. 1
В. 178
с. -1/8
D. -1
Answers
Answer:
1
Step-by-step explanation:
5 x 1/5 =
5/1 x 1/5 = 5/5 = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
5 = 5/1
Multiply straight across
5/1 * 1/5 = 5/5 = 1
Please help! I will give brainliest!
Answers
Answer:
exponential dacay
hope it is helpful.. correct ans..
Malaya is standing directly between a 90-foot tall courthouse and a 54-foot tall bank. If the angle of elevation from the point where Malaya is standing to the top of the courthouse is 72°, while the angle of elevation to the top of the bank is 35°. What is the distance between the courthouse and the bank?
Answers
Answer:
Step-by-step explanation:
Draw a picture.
c and b are Malaya’s distance from the courthouse and bank, respectively.
tan(72°) = c/90
c = 90tan(72°)
tan(35°) = b/54
b = 54tan(35°)
Distance between courthouse and bank = c+b
= 90tan(72°) + 54tan(35°)
= 301.5 ft
(CHALLENGE QUESTION FOR ALL OF YOU):
What is the most beautiful mathematical equation?
*Requirements:
1. You need to write the equation
2. You need the Name.
3. Explain why it is the most beautiful
Answers
Answer:
Euler's Identity
Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.
Step-by-step explanation:
Answer:
Calculus
Step-by-step explanation:
The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.
Definition: This is a polygon with three sides.
Example: Obtuse, right, acute, scalene, isosceles, equilateral, and equiangular are classifications of this
Answers
hope this helps
The scatter plot shows the amount of sunlight some tomato plants received and the amount of each plant grew
Answers
Answer:
Option D
Step-by-step explanation:
The complete question is attached herewith.
Also the options for the same are as follows -
What is the meaning of the slope of the trend line shown on the scatterplot?
A A plant grows about 3 inches for every 2 hours of sunlight it receives.
B A plant grows about 2 inches for every 3 hours of sunlight it receives.
C A plant grows about 3 inches for every 1 hour of sunlight it receives.
D A plant grows about 1 inch for every 3 hours of sunlight it receives.
Solution
If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.
At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.
Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.
Hence, option D is correct
Buyers are skeptical of a motorcycle advertisement that claims the newest model gets an average of 52 miles per gallon. They believe the dealer is overstating the average. Which null and alternative hypotheses should the buyers test? Let u represent the true average gas mileage.
Answers
Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Can I please have help. I need these answers.
Answers
Answer:
1st: not
2nd: not
3rd: slope-intercept
4th: slope-intercept
Answer:
Read Below
Step-by-step explanation:
1) Slope Intercept
2) Slope Intercept
3) Not Slope Intercept
4) Not Slope Intercept
one isotope of chromium has a half life of 18 hours. How long does it take 100 grams to decay to 20 grams?
Answers
Answer:
41.79 hours
Step-by-step explanation:
The Half-time Decay Formula: [tex]N=N_0(\frac{1}{2})^\frac{t}{d}[/tex]
Where [tex]N_0[/tex] is the original number, and t = time, and d = time it takes to half
18 would be d
100 would be [tex]N_0[/tex]
and 20 would be N
[tex]20=100(\frac{1}{2})^\frac{t}{18}[/tex]
[tex]0.2=(\frac{1}{2})^\frac{t}{18}[/tex]
[tex]log_\frac{1}{2}0.2=\frac{t}{18}[/tex]
[tex]18* log_\frac{1}{2}0.2=t[/tex]
[tex]18* \frac{log_{10}0.2}{log_{10}\frac{1}{2}}=t[/tex]
= 41.79470571
PLEASE HELP W/ HONORS PROJECT! TIME SENSITIVE
What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.
I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.
Answers
Note:-
Solved as the all of above is one question
Solution:-
DE=8ft2 ft above
DE=10ftDF=400ftNow
Angle be x
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]
[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]
[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]
[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]
[tex]\\ \rm\Rrightarrow X=1.432°[/tex]
Which of the following best describes the equation below?
y = 3/5x+15
A. linear
B. both linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Answers
Nonlinear
hope this helps..lemme know if im wrong <3
I'm not sure what this means, I need major help
Answers
Answer:
A.
240cm
320cm
400cm
The lengths are 240, 320, and 400cm.
B.
The Angle measurements are the same
37, 53, and 90 degrees.
Step-by-step explanation:
Hope this helps
2. ¿Cuál es el valor de X en la siguiente ecuación?
X – 56 = 135
A. 79
B. 191
C. 270
D. N/A
Answers
Mr. López has a new house and wants to put a fence around the perimeter of the yard.
How many feet of fencing will he need to buy if his yard is rectangular and measures 100ft by 140ft?
A. 40 ft
B. 280 ft
C. 480 ft
D. 1,400 ft
E. 14,000 ft
Answers
Answer: C
Step-by-step explanation:
100ft + 100ft = 200
140ft + 140ft = 280
200ft + 280ft = 480ft
A picture is to be mounted on a board.
10 cm
14 cm
Picture
8 cm
Board
11 cm
Show that the picture and the board are not mathematically similar
Answers
Answer:
14 ÷ 10=1.4
Step-by-step explanation: