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
CITY |. Temperature (°F) St. Louis | 32 Montreal |. -18 Buffalo. | -8 Orlando. |. 68 Juneau. |. -26 By noon, the temperature In Buffalo had risen by 14 °F. What was the temperature there at noon? How much higher was the 6 a.M. Temperature in St. Louis than Juneau?
Answers
Answer:
6°F
58°F
Step-by-step explanation:
From the data Given :
Temperature rise in Buffalo by noon time = 14°F
The initial temperature at Buffalo = - 8°F
Rise in temperature = 14°F
Therefore, temperature at noon = (-8 + 14)°F = 6°F
B.)
Temperature at 6am in St. Louis = 32°F
Temperature at 6am in Juneau = - 26°F
Temperature difference :
(32 - (-26))°F
32 + 26
= 58°F
Temperature in St. Louis is 58°F higher
what is the slope of (-2,8) and (9,6) ?
Answers
= 6 - 8 / 9 - (-2)
= -2 / 11
= -0.18
Shirlee cleans house as a side job, this weekend she made $425. If she puts 15% towards her savings how much will she put in her savings account?
Answers
Answer:
$63.75
Step-by-step explanation:
Find how much she will put in her savings account by finding 15% of 425
Multiply 425 by 0.15:
425(0.15)
= 63.75
So, Shirlee will put $63.75
Answer:
$63.75
Step-by-step explanation:
Since percent is out of 100. 15% divided by 100%, multiplied by 425.
5x+10 resultado cuál es?
Answers
Answer:
What is x? I will tell you the answer in the comments!! Thank you!!
A. Their rates of change differ by 2. B. Their rates of change differ by 4. C. Function M has a greater rate of change than Function P. D. Function M and Function P have the same rate of change.
Answers
Answer:
(a) Their rates of change differ by 2
Step-by-step explanation:
Given
See attachment for functions M and P
Required
Determine what is true about the rates of M and P
First, we calculate the slope (i.e. rate) of both functions.
Slope is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
From the table of M, we have:
[tex](x_1,y_1) = (-2,-9)[/tex]
[tex](x_2,y_2) = (2,11)[/tex]
So, the slope is:
[tex]m_M = \frac{11 --9}{2--2}[/tex]
[tex]m_M = \frac{20}{4}[/tex]
[tex]m_M = 5[/tex]
For function P, we have:
[tex]y = 7x + 9[/tex]
A function is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m = slope[/tex]
So, by comparison:
[tex]m_P = 7[/tex]
At this point, we have:
[tex]m_M = 5[/tex] --- Slope of M
[tex]m_P = 7[/tex] --- Slope of P
Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2
Other options are not true
A car uses 10 liters of gasoline every 180 km. How many km. will it travel with 48 liters?
Answers
Answer:
864 km
Step-by-step explanation:
Hope this helps! (I would appreciate brainliest, if not that's okay!!)
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form
Answers
Answer:
Step-by-step explanation:
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form
3m + 2n + 4;
m = 2 and N =4
D2 + 9k; d = 10 and k =9
3m + 4y x 2 m = 7, y = 10
Answers
Answer:
1. 18
2. 181
3. 101
Step-by-step explanation:
They want you to take each equation, and replace the letter with the number they give you after the equation.
3m + 2n + 4; m = 2, n = 4
This becomes
3(2) + 2(4) + 4
We multiply before we add, according to the order of operations. So next, the equation becomes:
6 + 8 + 4
= 18
———-
D^2 + 9k ; D = 10, k = 9
Numbers squared are numbers multiplied by themselves.
(10)(10) + 9(9)
= 100 + 81 = 181
——————-
3m + 4y x 2 ; m = 7, y = 10
3(7) + 4(10) x 2
21 + 40 x 2
Remember, multiplication always comes before addition.
21 + 80 = 101
Please let me know if you have questions on this.
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answers
Answer:
D
Step-by-step explanation:
They're not similar because the angle lengths are different.
Susan has 12 pizzas that she needs to divide equally among 7 classrooms.
Which fraction shows how many pizzas each classroom should get?
Answers
Answer:
1 5/7
Step-by-step explanation:
12 ÷ 7 = 1R5, therefore, we have 1 whole and 5/7
Hope I helped
The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 37. What is the age of the person who entered the room?
Answers
Mean is the average,
The total ages with 5 people would be 5 x 33 = 165
the total ages with the 6th person is 6 x 37 = 222
The age of the 6th person is 222 - 165 = 57 years old.
My little brother spent $5 on comic books and magazines. He bought 4 items. If comic books
cost $1 and magazines cost $2, how many of each item did my brother buy?
comic books
magazines
No links please!
Thank you
Answers
Answer: He bought 1 magazine and 3 comic books.
Step-by-step explanation: If comic books cost $1 and magazines cost $3, the equation for the problem should look like this: 2(m) + 1(c) = 5, since you know that the brother spent $5 in total. "m" represents the number of magazines purchased while "c" represents the number of comic books purchased. If you plug in 1 for "m" and 3 for "c", the equation would be true and would equal a total of $5. Also, 1 magazine and 3 comic books would mean that the little brother did, in fact, purchase 4 items.
Hello, can you please help me solve for the y intercept?
Answers
Answer:
The y-intercept is when the X is 0 And the y is whatever number it is. So in order to do that we need to find the pattern first and to do that we need to find the slope.
The slope here is 2/ 2 or 1.
So you add 1 to each side to find the next ordered pairs.
-5, -7
-4, -6
-3, -5
-2, -4
-1, -3
0, -2
So the y-intercept is -2.
PLZZZ HELP ME!!!
Find the volume of the pyramid.
An oblique rectangular pyramid with a base length of 3 centimeters and a width of 1 centimeter. The pyramid has an altitude of 7 centimeters.
Answers
V=lwh/3
=3*1*7/3
=21/3
=7
Hope you like my answer.
Answer:
V=7 (Volume)
Step-by-step explanation:
V=lwh/3=3*1*7/3=7
Noah’s soccer team played 12 games and won 10 of these. The ratio is 10:2 what is the percentage of the game won?
Answers
Given P(A) 0.3, P(B) = 0.43 and P(ANB) = 0.249, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.
Answers
Answer:
0.481
Step-by-step explanation:
P(A U B) = P(A) + P(B) - P(A∩B)
= 0.3 + 0.43 - 0.249
= 0.73 - 0.249
= 0.481
ANSWER FOR BRAINLIEST:
The low temperatures for the last five days are: Low Temperatures: 62, 46, 50, 52, 55.
Find the MEAN ABSOLUTE DEVIATION (MAD) of the temperatures
Answers
Answer:
4.4
Step-by-step explanation:
The mean absolute deviation is 4.4, and you can just search "mean absolute deviation calculator ".
a dress is regulary price a $45 thedress is marked down 30 percent what is sale price of the dress
Answers
Answer:
$31.50
Step-by-step explanation:
So first thing, it's necessary to figure out what 30% of 45 is.
You can set this up as an algebraic expression or your can multiple 45 by 3/10 to find out what that 30% is.
The algebraic expression would be 30% of 45 is x.
Using one of these two options; we would discover that 30% of 45 is 13.5.
However, this is not the answer, yet.
The question is looking for the price of the dress after the 13.5 is taken away.
Therefore, you would subtract.
45 - 13.5 = 31.5
Sooooo... your answer is "The sale price of the dress is $31.50."
Find the surface area of the figure.
22 m
12 m
5 m
Answers
Answer:
Step-by-step explanation:
5*12=60
60*22=1320
Which graph shows equivalent ratios?
Answers
Answer:
The first graph........
Find the value of x. Pls answer asap
Answers
Answer:20=x i played around with the angles a bit untill it all fit in 360 (the angles all together equal up to 360 in a polygon)
Step-by-step explanation:
which of the following could represent the unit side lengths of a right triangle
F 10, 24, 26
H 7, 11, 13
G 3, 6, 7
J 5, 10, 15
Answers
Answer:
F
Step-by-step explanation:
10^2+24^2=676
26^2=676
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21
Answers
Answer:
B and C
Step-by-step explanation:
3rd Question can someone help???
Answers
Answer:
7/8
Step-by-step explanation:
7/8*2/5<2/5
To make orange juice the directions call for a can of orange juice concentrate to be mixed with three cans of water. What is the volume of orange juice that you make?
Answers
Answer:
volume of orange juice = 4 cans
Step-by-step explanation:
Recipe for orange juice
Orange juice concentrate = 1 can
Water = 3 cans
What is the volume of orange juice that you make?
volume of orange juice = Orange juice concentrate + water
= 1 can + 3 cans
= 4 cans
volume of orange juice = 4 cans
A die is rolled twice. What is the probability of getting two even numbers?
Answers
Answer:
1/2
Step-by-step explanation:
Parallel Lines E and Fare cut by transversal b What is the value of Y
Answers
Answer:
the value of y is, 130,
Step-by-step explanation:
hope it helps
FOLLOW MY ACCOUNT PLS PLS
Isaac has three types of coins in his pocket. There are two more quarters than dimes, and as many nickels as quarters and dimes together. The coins total $3.75. How many quarters, dimes, and nickels are in Isaac's pocket?
Answers
Answer:
There are 16 nickels, 7 dimes, and 9 quarters.
Step-by-step explanation:
Aight, so lets set dimes as "x". Since there are 2 more quarters than dimes, quarters is "x+2". And since nickels is equal to dimes plus quarters, nickels takes the role of "(x+2)+x". We can simplify this by adding x and x together, so nickels is "2x+2" In this example, I'm converting these variables to cents, since it's easier than converting to dollars. Since a dime is 10 cents, 10 times x is"10x". Quarters are worth 25, so first we do x times 25 (25x) and then 2 times 25 (50). Then nickels. 2x+2 times 5 is 10x + 10. Alright, so now we have our cent values. $3.75 is 375 cents, so now we can make an equation:
10x + 25x + 50 + 10x + 10 = 375 cents.
I'm guessing you already know how to solve an equation, first combine like terms, then figure out how many times the variable goes into the numerical value. You should end up with 7, which is dimes. If we go back to our problem, we see that there are 2 more quarters, so 7+2= 9 quarters. As for nickels (9+7) there are 16 nickels.
There's probably a more efficient way to do this, but since I'm so... uh... inefficient, this is the best explanation I can do :p
Answer:
16 nickels 7 dimes 9 quarters
Step-by-step explanation:
im just that smarttttttt lol!! hope this helped
Alexton the Skeleton borrowed $4000 or 5 years
at a 6% simple interest rate to pay for his band
equipment. How much interest is that?
Answers
Answer: $1,200
Step-by-step explanation:
If you use the simple interest formula, I = (p)(r)(t), you’ll replace it with I = 4,000 x 0.06 x 5 it’ll give you $1,200 :)
–6z^2− 8z + 8 = 0
sole using the quadratic formula
Answers
Answer:
Simplifying
6z2 + -8z + 1 = 0
Reorder the terms:
1 + -8z + 6z2 = 0
Solving
1 + -8z + 6z2 = 0
Step-by-step explanation: