Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?
Answers
Answer:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
The vertices of the quadrilateral ABCD are;
A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)
The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0
The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1
The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²) = √2
The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0
The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1
The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²) = √2
Therefore;
The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]
Given that the slope of a line gives the inclination of the line on a graph, we have;
The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]
Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.
Related Questions
There are 2 cats to 5 dogs. Which of the following is an equivalent ratio of cats to dogs?
Answers
Answer:
See below.
Step-by-step explanation:
The ratio of cats to dogs would be 2/5. This is the simplest ratio, but I assume you are looking for other ratios that are equal to 2/5
Since you did not provide choices to pick from, I can't really answer your question. But, some ratios that are equal to 2/5 are 4/10, 6/15, 8/20, and 10/25.
9. Spanky is four inches less than of Lanky's height. Write an expression for
Spanky's height.
Algebraic Expression:
Spanky
Lanky is 72 inches tall. How tall is Spanky?
Algebraic Expression
Numerical Expression
Answer
You pick the variable for
Lanky's height! Lanky
Answers
68 inches tall is Sparky
Step-by-step explanation:
just take of 4 tall of lanky then you will get the tall
Don has an album that holds 900 coins . Each page of the album holds 9 coins . If 78% of the album is empty, how many pages are filled with ?
Answers
Answer: 22% of the pages are filled up
Step-by-step explanation: 900/9= 100 78% of 100 is 78
22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.
Spencer bought 3 books of stamps and mailed a package. It cost 4.50 to mail the package. Define a variable and write an expression to represent the total amount he spent at the office.
Answers
The number y of calories burned after x minutes of kayaking is represented by the linear function y=4.5x . The graph shows the number of calories burned by hiking.
a. Which activity burns more calories per minute?
A) kayaking
B) hiking
Question 2
b. You perform each activity for 45 minutes. How many total calories do you burn?
You burn 472.5 calories.
Question 3
Justify your answer.
Answers
Step-by-step explanation:
Aswer:
22.5 more calories are burned
Hiking:
y=255
Kayak:
y=202.5
Halp aspp
give brialest
Answers
Answer:
Cant see the full photo {error}
Sales associates at an electronics store earn different commission
percentages based on the items they sell. The table shows the total
sales and commission earnings for four sales associates at the
electronics store last month.
GIFTING EXTRA POINTS
Answers
Answer:
how am i gonna solve the equation if i cant see the actual chart?
Step-by-step explanation:
slope is 2/3 y- intercept is -2
Answers
Answer:
y = (2/3)x - 2
Step-by-step explanation:
The equation of this line is y = (2/3)x - 2, where m is the given slope and -2 is the given y-intercept. We need only plug in the given values for m and b.
Answer:
[tex]y = \frac{2}{3} x -2[/tex]
Step-by-step explanation:
This is the slope-intercept form. The slope-intercept form is written as y = mx + b where m is the slope and b is the y-intercept. The y and x stay as they are.
I hope this was what you were looking for.
y = 7x + 10y = -4x - 23
Answers
Answer:
11x+23
y= - --------------
10
Step-by-step explanation:
What is the distance between the points (2, 3) and (5, -4)?
7.6 units
3.7 units
6.3 units
10 units
Answers
Answer:
Step-by-step explanation:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2\\ \\ d^2=(5-2)^2+(-4-3)^2\\ \\ d^2=3^2+(-7)^2\\ \\ d^2=9+49\\ \\ d^2=58\\ \\ d=\sqrt{58}\\ \\ d\ approx 7.6\ units[/tex]
i don’t understand my homework?
Answers
Answer:
x = 140
Step-by-step explanation:
40 * 2 + 2x = 360
80 + 2x = 360
2x = 280
x = 140
— 3x = у
— 9x — 5y = — 48
Answers
Step-by-step explanation:
plug in -3x for y
-9x-5(-3x)= -48
-9x+15x= -48. its +15 because negative times negative is.
positive
6x= -48 (-9 +15=6) now divide both sides by 6
x= -8
now you can solve for y by plugging in -8 for x
-3(-8) =y
24= y
Explanation:
-3x = y ............................... (1)
-9x - 5y = -48 ................... (2)
From (1):
-3x = y
y = -3x
Sub (1) into (2):
-9x - 5(-3x) = -48
-9x + 15x = -48
6x = -48
x = -48/6
x = -8
Sub x = -8 into (1):
y = -3(-8)
y = + 24
PLZ HELP DUE AT 12
Answers
Answer:
The first one would be m^30n^20p^30
And the second one would be a^2 / d^4
Step-by-step explanation:
For 1, you have to multiply the inner exponents by the outer one so you get (m^12n^8) times (m^18n^12p^30). Then you mutiply the two together, so you add the exponents, where you get m^30n^20p^30.
For 2, since you're dividing, you have to subtract the exponents so you get a^2d^-4, but since you shouldn't have the negative you turn it into a^2 / d^4
Hope this helps :)
Find x+y, if: 2x+3y=8 and 3x+5y=13
Answers
the answer can be found using math-way
9x^3- 18x^2 - 4x + 8 : x- 2
Answers
Answer:
Step-by-step explanation:
[tex]9x^3-4x-18x^2+8\\ \\ x(9x^2-4)-2(9x^2-4)\\ \\ (x-2)(9x^2-4)\\ \\ (x-2)(3x+2)(3x-2)\\ \\ \text{If you divide by x-2 you have}\\ \\ (3x+2)(3x-2)[/tex]
Lee performed the best on stage because the other contestant were not as confident as (him, he)
Answers
Answer:
him or he was
Step-by-step explanation:
A man invests 10000 for 3 years at a certain rate of interest, compounded annually. At the
end of one year, it amounts to 11200. Calculate :
(i) the rate of interest per annum;
(ii) the interest accrued in the second year;
(ii) the amount at the end of the third year.
Answers
Step-by-step explanation:
10000, After 1 year amount = 11200 so interest after 1 year = 1200
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%
Interest for the second year = 11200(1+12/100)1 - 11200 = 1344
after 3 years = 10000(1+12/100)3 = 14049.28
Step-by-step explanation:
(I) Principle = Rs 10000, After 1 year amount
= Rs 11200 so interest after 1 year
= Rs 1200
R = 12%
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%——————————————————————————————————————
(Ii)Interest for second year = 11200(1+12/100)1 - 11200 = Rs 1344
(iii)Amount after 3 year = 10000(1+12/100)3 = Rs 14049.28
On Monday Ravi drives for 4 hours.
His average speed is 30 mph.
How far does Ravi drive on Monday?
Answers
Answer:
Step-by-step explanation:
On Monday Ravi drives for 4 hours.
His average speed is 30 mph.
How far does Ravi drive on Monday?
Answer:
120
Step-by-step explanation:
i dont know why they deleted the other person answer,but this IS correct.
Can someone please help me with my math corrections?
Answers
Answer:
Step-by-step explanation:
y = 2x + 3 {y = mx + b}
In Function A, rate of change is 2
Function B:
Rate of change = Change in y÷ change in x
[tex]= \frac{11-7}{0-[-1]}\\\\=\frac{11-7}{0+1}\\\\=\frac{4}{1}\\\\= 4[/tex]
In function B, rate of change is 4
Least: Function A
Greatest: Function B
Do
The radius of each circle is 9.3 m.
What are the width and length of the
rectangle?
W =
m
1 =
m
Answers
Answer:
hi
Step-by-step explanation:
Area of parallelogram = b× h. • Area of triangle = 1. 2 b×h. ×. Fig. 9.3. 15-04-2018 ... Example 5: squares of each side 1 m makes a square of side ... 1. Compare the area of a rectangle with base b and height h with the area of a rectangle with base ... Circumference 'C' of a circle can be found by multiplying diameter. 'd' with.
Can someone please help me out with this
Answers
Answer:
hope it helps
4.
Sasha has 47 fewer makers than Ron. Together they have 247 markers.
Let x = the number of markers Ron has.
Write an equation to solve for x.
Answers
or
x + (x-47)= 247
The diagram shows rectangle ABDE and right angle triangle ABC AC=37cm BC=12cm BC:CD=1:2 work out the area of rectangle ABDE
Answers
can you let me know when you get this answer, i’m doing june 19 2H
Answer:
1260cm^2
Step-by-step explanation:
BC : CD
12 : 24
12 + 24 = 36
h²- a² = b²
37²-12²
1369 - 144 = 1225
√1225 = 35
36 x 35 = 1260cm²
8p - 4=24.8
solve for p
Answers
Answer:
p = 3.6
Step-by-step explanation:
Our goal is to isolate P.
Let's start by adding 4 to each side:
8p = 28.8
Next, we will divide each side by 8:
p = 3.6
Hope this helped! :)
The point (2, 18) is an ordered pair in a proportional relationship. What equations represents this relationship?
y = 1/9x
y = 18x
y = 9x
y = 2x
Answers
Answer:
y = 9x
Step-by-step explanation:
If you plug in the point into each equation, you get:
y = 1/9x
18 = 1/9 * 2
18 = 2/9
not true
y = 18x
18 = 18 * 2
18 = 36
not true
y = 9x
18 = 9 * 2
18 = 18
true, so this is the answer
y = 2x
18 = 2 * 2
18 = 4
not true
Select all the ways you can tell that there is no solution to a system of equations.
A. The equations have different slopes and have the same y-intercepts.
B. The equations have the same slope and have different y-intercepts.
C. The graph of the system shows the same line.
D. The graph of the system shows parallel lines.
E. The graph of the system shows perpendicular lines.
THERE CAN BE MORE THAN ONE ETC ANSWERS
Answers
Answer:
b and d
Step-by-step explanation:
The ways you can tell that there is no solution to a system of equations are:
B. The equations have the same slope and have different y-intercepts.D. The graph of the system shows parallel lines.A linear equation is represented as:
[tex]y = mx+c[/tex]
Where:
m represents the slopec represents the y-interceptWhen the equations in a system of linear equation has the same slope, then the equations are parallel, and they have no solution.
Hence, the true statements are (b) and (d)
Read more about systems of linear equations at:
https://brainly.com/question/14323743
A book store sells used
books.
Paperback books cost $1.00.
Hardback books sell for $5.00.
The store sold 100 books and made $260 from the sale.
How many paperback books did the store sell?
Α. 20
В. 40
C. 60
D. 80
Answers
Answer:
The correct answer is C
Positive
what is the first step to solving 9z-21=60
Answers
Answer:
add 21 to both sides
Step-by-step explanation:
9z-21=60
9z-21+21 =60+21
9z=81
9z/9=81/9
z = 9
PLEASE WILL GIVE BRAINLIEST
Match these men with their accomplishments.
1. the Native American chief who helped Smith Cartier
2. established San Diego La Salle
3. discovered Mississippi River De Bienville
4. founder of New Orleans De Soto
5. first explored the St. Lawrence River Marquette and Joliet
6. founder of Quebec Portola
7. claimed Atlantic coast for England Cabot
8. claimed New York area for the Dutch Powhatan
9. explored parts of the Mississippi for France Hudson
10. sailed the Mississippi to the Gulf of Mexico Champlain
Answers
1. 3rd last option
2. 6th one
3. 4th one
4. 3rd one
5. 1st one
6. Last one
7. 7th one
8. 2nd last option
9. 5th one
10. 2nd one
Sorry i have to write like this. Brainly is not allowing me to write answers. Please mark brainliest
A student is building a parallelogram- shaped deck with a base of (4x + 3) feet and a height of (3x - 2) feet. Which polynomial represents the area of her deck in square feet? (A.108)
F (12x2 + x - 6) square feet
G (7x + 1) square feet
H (12x2 + x - 5) square feet
J (7x2 + x - 6) square feet
Answers
Answer:
F
Step-by-step explanation:
see attached image above
Answer:
Step-by-step explanation:
the area will be
A=(4x+3)(3x-2)
A=12x^2-8x+9x-6
A=12x^2+x-6