Quadrilateral ABCD has vertices AC-3.6), B(6,0), C(9. -9), and D(0, -3). Prove that ABCD is a) a parallelogram
Answers
9514 1404 393
Explanation:
The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.
A + C = (-3, 6) +(9, -9) = (6, -3)
B + D = (6, 0) +(0, -3) = (6, -3)
Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.
___
The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).
Related Questions
Beth is making fruit saladShe adds 5 grapes for every strawberriesshe uses 12 strawberries, how many grapes will use? Please help me!!
Answers
Answer:
She will use 60.
Step-by-step explanation:
12 x 5 = 60
Hope this helps ⭐
Answer:
Hello! Answer: 60
Step-by-step explanation:
If she is using 5 grapes per strawberries then we would do 12 x 5 = 60 and 60 is our answer.
How do you solve this proof?
Answers
Answer:
Angle = A
A7 = A4 (Alternate interior angles)
A14 = A11 (Vertically opposite angles)
A11 = A6(Corresponding angles)
A4 = A14 (Given)
From this, we can get A6 = A4
A6 and A4 are alternate angles and are equal. So c and d are parallel.
A7 + A10 = 180 (Linear pair of angles) - ( 1 )
A13 = A10(Alternate interior angles)
Putting A13 in place of A10 in ( 1 ),
A7 + A13 = 180
Hence proved
Ask doubts if any
answer for brainilest and 15 points
Answers
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
3 ^ −2
= 1 / 9
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4 ^ -3
= 1 /64
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
21 ^ -1
= 1 / 21
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
5^ 2 / 5 ^ 3
= 1 / 5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
9 ^ 3
= 1 / 729
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Brainlist?
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What is the distance between -25 and -12 on a number line? Pls help im literally so bad at math and i cant get another one wrong
Answers
Answer:
it would be 13
Just do 25 -12
Consider marking brainliest
Answer:
13
Step-by-step explanation:
1) use the formula of distance:
|-25-(-12)|
2) remember that - * - = +
|-25+12|
3) solve the operation
|-13|
4) remember that a distance can’t be negative
13
angle relationships. please help me. i will give you brainlist. if you are right though.
Answers
Step-by-step explanation:
12x+15+69= 180
12x = 96 X =8
x+137 + 50 = 180
x = - 7
80= 20x
x = 4
You roll a number cube. What is the probability you roll a multiple of 2 or a 5?
Answers
Answer:
d
Step-by-step explanation:
Trust
Help I got a little confuse here!
Answers
Answer:
its 3a12/25568
Step-by-step explanation:
becuse i want to
= 3 • 2^8
= 768
helpppp meeee plsssssss
Answers
Answer:
Step-by-step explanation:
2 3/4 - 2 1/4
2/4 or 1/2 or 0.5 whichever you want to go with
Answer:
[tex]range = 2 \frac{1}{2} - 2 \frac{3}{4} \\ = \frac{5}{2} - \frac{11}{4} \\ = - \frac{1}{4} \\ = 7 - 1 \\ = 6[/tex]
Solve. 4x + 3 = -13
A. x = -4
B. x = 4
C. x = 64
D. x = -64
Answers
Answer:
4x=-16
x=-4 is your answer
Answer:A) x = -4
Additive inverse -3 to both sides 4x=-16
The divide both sides by 4, x=-4
Step-by-step explanation:
(-18, -17)
(18,-17)
(18 , 17)
(-18 , 17)
Answers
Answer:
(-18, -17) in 3rd Quadrant
(18, -17) in 4th Quadrant
(18, 17) in 1st Quadrant
(-18, 17) in 2nd Quadrant
-TheUnknownScientist
Plis only answer correctly
Answers
Answer:
d
Step-by-step explanation:
d
dkimiunuhbubhwswdqwduoewdWEC W vcuuhdcosv
Because it’s the most likely
State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS
Answers
Answer:
C) ASA
Step-by-step explanation:
angles are indicated equal and they share the common diagonal between those angles, so ASA
The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given triangles are given in the figure.
We can see that there are two angles that are the same and one side is the same.
According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
So, we conclude that the given two triangles are congruent.
Hence, the given two triangles are congruent due to the ASA postulate.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
Due tonight.. *no links*
Answers
Answer:
angle z= 96°
angle x = 33
I hope it's helps you
Answer:
z = 96
x = 33
Step-by-step explanation:
Given that g and h are parallel, we can assume that 84 and z will be equal to 180.
[tex]84 + z=180\\z= 96[/tex]
Then we make the , simple algebra work!
[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]
It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.
Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range
Answers
Answer:
mean: 34/15=2.27
median: 2
range: highest-lowest...... 6-0=6
mid range: high + low divided by 2
6+0=6/2=3
Answer:
Mean: 2.27
Median: 2
Range: 6
Mid-range: 3
Step-by-step explanation:
The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.
2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34
There are 15 numbers in this data set.
34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)
2.27 is the mean.
-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The median is 2.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The range is the smallest number subtracted from the largest number.
6 - 0 = 6
6 is the range.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The formula for mid-range is:
Maximum value + largest value ÷ 2.
The largest value is 6.
The minimum value is 0.
6 + 0 = 6
6 ÷ 2 = 3.
The mid-range is 3.
The ratio of the number of chickens to the number ducks is 7:2. The ratio of the number of ducks to the number of pigs is 5:9 There are 36 pigs on the farm.
Workout the number of chickens on the farm
Help plzz.
Answers
Answer: 70 chickens
Step-by-step explanation:
7:2
Chickens to ducks
5:9
Ducks to pigs.
There are 36 pigs. 9 is the ratio of pigs.
5 : 9
? : 36
9 x 4= 36
So multiply 5x4 to find the total ducks
=20 ducks
7 : 2
? : 20
So, 2x10 is 20 (ducks)
So 7x10 to find the chickens
(You have to balence out the sides and keep it equal
So if one side is multiplied by 10, the other is too)
7x10
= 70 chickens
The number of chickens in the farm is 70 chickens
The ratio of chickens to ducks is
7:2
The ratio of ducks to pigs is
5:9
There are 36 pigs in the farm
The first step is to calculate the total number of ducks
9-5
= 4
= 5×4
= 20 ducks
The next step is to calculate the number of chickens
= 7×10
= 70 chickens
Hence there are 70 chickens in the farm
Please see the ink below for more information
https://brainly.com/question/847212?referrer=searchResults
2y - 6 = 2
What value of y makes the following true
Answers
Answer:
y = 4
Step-by-step explanation:
2y - 6 = 2
add 6 to each side of the equation:
2y = 8
divide both sides by 2:
y = 4
Brian built 3 wooden toys. Each toy had a mass of 5/7 kilograms. What was the total mass of the toys that he built
Answers
Answer:
2 1/7 kg
Step-by-step explanation:
Multiply 5/7 kg by 3, obtaining 15/7 kg, or 2 1/7 kg
Lots of points and brainliest!!!
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.
Answers
Answer:
The toy falls at a rate of at least a Negative one-half meter per second.
Step-by-step explanation:
Answer:
the awnser is a or the pool is 1 meter deep
Step-by-step explanation:
i am smart and i got it right when i did it
9 (4 + 2c) = ?
THANK YOUUUUU
Answers
Answer:
18c + 36
Step-by-step explanation:
Rearrange Terms:
9 (4 + 2c) =
9 (2c + 4) =
18c + 36
Hope this helps! :)
a) If there were 3 elephants at the zoo, how many hippos would there be?
Answers
Answer:
3 as well lol?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
write the number in word form .0001
Answers
Answer:
0.0001 in word form is ten thousandth
what is equivalent (2 - 6) cubed
Answers
Answer:
solution given:
equivalent (2 - 6) cubed=(-4)³=-64
help please ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answers
Answer:
A , 10 unit square
B , 13 unit square
C , 9 unit square
D , 25 unit square
Step-by-step explanation:
I HOPE IT HELPS:))) !!!!
Which shows [tex]4^{6}[/tex]÷[tex]4^{5}[/tex] in standard form?
A. 0
B. 1
C. 4
D.16
Answers
The
Answer:
is
Step-by-step explanation:
C. 4
Exponents first
Hi! Answer this please!
Answers
15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5
A. y = 3x
B. y = [tex]\frac{10}{x}[/tex]
C. x = [tex]\frac{y}{3}[/tex]
D. y = [tex]\frac{x}{10}[/tex]
Answers
Answer:
y=10/x
Step-by-step explanation:
Y=k/x
Y=2 & x=5 implies k=10
Hence, y=10/x is the desired equation of the hyperbola
...................................................................................................................................................
Answer:
The equation is and y = 2 , x = 5 the value of k is 10 .
Step-by-step explanation:
As given
y varies inversely with x.
Where k is the constant of proportionality .
Thus the equation for the inverse variation .
As given
y = 2 when x = 5
Put all the values in the equation .
k = 2 × 5
k = 10
Thus the constant of variation is 10 .
Therefore the equation is and when y = 2 , x = 5 value of k is 10 .
...............................................................................................................................................
y
=
10
x
Explanation:
y
varies inversely with
x
⇒
y
∝
1
x
∴
y
=
k
x
y
=
2
,
x
=
5
gives
2
=
k
5
⇒
k
=
2
×
5
=
10
y
=
10
x
Answer link
...............................................................................................................................................
Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for any x
...............................................................................................................................................
The answer is y=10/x
What is (x-7)(x-4) ????????
Answers
Answer:
x^2 -11x+28
Step-by-step explanation:
See Image below. I hoped this helped :)
Which of the following is a solution to the equation2/3 x + 16 = -14?
Answers
Answer:
x= -45
Step-by-step explanation:
Combine like terms to determine which expression with 2 terms is equivalent to 5x + 16y + 8x + 2y.
Answers
Answer:
you look for the same variables with the same powers
y: 16y +8y = 24y
x: 8x - 7x = x
y^2: 2y^2
and sum it all together at the end
Step-by-step explanation:
PLEASE HELP!!! What is the value of x?
A. 4
B. 4√3
C. 8
D. 8√3
Answers
Answer:
65
Step-by-step explanation: