Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel. please Show All Work! Thanks!!
Answers
Answer:
Here You Go! I'm not really sure about this one but i tried.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To prove this we should first make a little representation to get an idea of how will proceed to work .
To solve it we should use vectors so the first step is to identify this vectors :
we have four points : A/B/C/DA(-2,-4)B(1,2)C(2,10)D(-1,4)VECTOR AB WITH VECTOR DC VECTOR AD WITH VECTOR BCNOW LET'S IDENTIFY THEIR COORDINATES :
VECTOR AB (1-(-2),2-(-4)) VECTOR DC (2-(-1),10-4)VECTOR AD (-1-(-2),4-(-4)) VECTOR BC (2-1,10-2)We get :
VECTOR AB (3,6) VECTOR DC (3,6)VECTOR AD (1,8) VECTOR BC (1,8)We notice that the opposite ones have the same coordinates so the edges are parallel .
If we want to check more we can calculate the lenghts :
AB=[tex]\sqrt{3^{2}+6^{2} }[/tex] DC=[tex]\sqrt{3^{2}+6^{2} }[/tex]So AB=DC
AD=[tex]\sqrt{1^{2}+8^{2} }[/tex] BC=[tex]\sqrt{1^{2}+8^{2} }[/tex]So AD=BC
SO ABCD IS A PARALLELOGRAM
Related Questions
Find the value of x. Give reasons to justify your solution. C ∈ AE
Answers
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)Answer:
11 degrees
Step-by-step explanation:
Ur welcome
Let f(x) = x2 and g(x) = x - 3.
Evaluate (gºf)(-2).
A. -20
B. 20
C. 7
D. 1
Answers
Answer:
D. 1
Step-by-step explanation:
Step 1: Find g of f(x)
g(f(x)) = (x²) - 3
Step 2: Plug in -2 as x
g(f(x))(-2) = (-2)² - 3
g(f(x))(-2) = 4 - 3
g(f(x))(-2) = 1
Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?
Answers
Answer:
54
Step-by-step explanation:
Total pictures in the roll = 36
half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18
Given Paul made 2 prints of each of the half pictures
no. of prints made of half of the pictures = 18*2 = 36
No. of prints left after the half of the roll is printed for two prints= 36-18 = 18
No. of prints made of rest of the pictures 1
Therefore , no of prints made of rest half of pictures = 18*1 = 18
Total prints made = 36 + 18 = 54.
Thus, Paul made 54 prints in all.
Need help solving algebraic expression 3H+20+H=180
Answers
Answer:
H=40
Step-by-step explanation:
3H+20+H=180
4H +20 = 180
4H = 180 - 20
4H = 160
H = 160/4
H = 40
I solved it Step-by-step hoping this helps u to understand it.. Good Luck
180-20=160
4H=160
H=40
these tables of values represent continuous functions. for which function will the y-value be the greatest for very large values of x
Answers
Answer:
Option A.
Step-by-step explanation:
We need to find a table for which the y-value will be the greatest for very large values of x.
From the given table it is clear that the largest value of x in all tables is 5.
In table A, y=64 at x=5.
In table B, y=32 at x=5.
In table C, y=40 at x=5.
In table D, y=13 at x=5.
It is clear that 64 is the greatest value among 64, 32, 40 and 13.
It means table in option A represents the function for which the y-value will be the greatest for very large values of x.
Therefore, the correct option is A.
Answer:
Option A
Step-by-step explanation:
Took the quiz
Help pls!!1!___________
Answers
Answer:
1.08*10^11
Step-by-step explanation:
how many more it means you need to subtract :
in year 1965 : 7.2*10^10
in 1995 :1.8*10^11
(1.8*10^11)-(7.2*10^10)
18*10^10-(7.2*10^10)=
10.8*10^10 or 1.08*10^11
3
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
2
AK (7.2)
1
y =
m
m+
-)(x2 - wa) + v
2 3 4 5 6 7 8 9 10 11 x
-11
-2
-3
-4
-5
-8
0-5
0 0
O 6
ibd
-10
J (1,-10)
Answers
Answer:
0
Step-by-step explanation:
Given the points J (1,-10) and K (7, 2)
From the section formula
[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:
[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.
DistanceIf a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:
[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]
The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.
Find out more on Distance at: https://brainly.com/question/17273444
Please answer this question now
Answers
Answer:
The midpoint is (2.5, 3.5)
Step-by-step explanation:
The midpoint is the average of the coordinates
x = (x1+x2)/2 and y =(y1+y2)/2
x = (2+3)/2 = 5/2 = 2.5
y = (3+4)/2 = 7/2 = 3.5
The midpoint is (2.5, 3.5)
Answer:
(2.5, 3.5)
Step-by-step explanation:
The midpoint is found by taking the average of the x-coordinates and the average of the y-coordinates.
Here, the average of the x-coordinates is (2 + 3)/2 = 5/2 = 2.5.
The average of the x-coordinates is (3 + 4)/2 = 7/2 = 3.5.
The answer is thus (2.5, 3.5).
~ an aesthetics lover
When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?
Answers
Answer:
your number is 18
Step-by-step explanation:
x^2 = (x × 10 ) + 144
x^2 = 10x + 144
x^2 - 10x - 144 = 0
using quadratic method
your answer should be
(x- 18) ( x+8 )
a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike
Answers
Answer:
$162.50
Step-by-step explanation:
Answer:
87.5
You need to take 30 percent from 125 and subtract it to get the wholesale price
Someone please help me it’s 20 points please help!!!
Answers
Answer:
[tex]g(1)=1[/tex]
Step-by-step explanation:
Use just the definition for the appropriate section of the Domain that includes x=1,
that is the third definition:
[tex]g(x)=x^3-x^2+1\\g(1)=(1)^3-(1)^2+1\\g(1)=1[/tex]
Which of the lines in the picture are lines of symmetry of the given figure? Please explain!
Answers
Answer:
n,r,t
Step-by-step explanation:
The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. As you can see above the lines n,r,t are the only lines that give identical halves of the figure
5t - 30t + 50 =0 pls help!!!
Answers
Answer:
t= 2
Step-by-step explanation:
5t - 30t + 50 =0
-50 -50
5t - 30t =-50
-25t = -50
÷-25 ÷-25
t= 2
Answer:
t = 2
Step-by-step explanation:
5t - 30t + 50 = 0
-25t = -50
t = -50/-25
t = 2
Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?
Answers
Answer:
ax² + bx + c
Step-by-step explanation:
The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.
Suppose a quadratic function:
f(x) = 2x² - 8x + 9
Use ( -b/2a , f(-b/2a) ).
-b/2a
a = 2
b = -8
-(-8)/2(2)
8/4
= 2
f(2) = 2(2)² - 8(2) + 9
f(2) = 2(4) - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
The minimum value of this quadratic function is (2, 1).
It represents a minimum value because a > 0.
Answer:
Vertex form
Step-by-step explanation:
There are several forms of the quadratic equation
Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry
Factored form: y = (ax - c)(bx - d) which will give us the zeros
and
Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex
The maximum and minimum would be the value of k
It would be maximum when a >0 and minimum when a<0
What is the completely simplified equivalent of 2 over 5+i? the 'i' is 1! thx for the help!
Answers
Answer:
1/3 ≅ .33333
Step-by-step explanation:
If 'i' is 1, then 5+i is 6. 2 over 6 is 1 over 3. (2/6 = 1/3) 1 over 3 is also .3333... forever repeating.
Hope this helps!
Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 9 meters and hypotenuse of 18 meters.
a.
15.6 m
b.
70.2 m
c.
42.6 m
d.
243 m
Answers
Answer:
b
Step-by-step explanation:
Let's find the area of the adjacent side.
Applying Pythagoras' Theorem,
(adjacent side)²= 18² -9²
adjacent side[tex] = \sqrt{243} [/tex]
adjacent side= 15.588 m (5 s.f.)
Area of triangle= ½ ×base ×height
Area of traingle
[tex] = \frac{1}{2} \times15.588 \times 9 \\ = 70.1m \: (nearest \: tenth)[/tex]
The nearest answer is B.
*If you rounded of to the nearest tenth for the adjacent side first then use the formula for area of traingle, the result would be exactly 70.2 m.
Answer:
The answer above me is correct
Step-by-step explanation:
Please help i will mark brainliest!
Answers
Answer:
A. and C. are true i think :/
Step-by-step explanation:
im not 100% sure though but again, good lucks!
PLS ANSWER I WILL MARK U AS THE BRAINLIEST!!! Correct 36.2598 to
a) decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
Answers
The question is incomplete.
Complete Question
Correct 36.2598 to
a) to one decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
Answer:
a) to one decimal place = 36.3
b) To the nearest hundredth= 36.26
c) to nearest 0.001 = 36.260
d) to the nearest whole number = 36
Step-by-step explanation:
From the question, we are to round up 36.2598 to the following:
a) to one decimal place.
Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,
36.2598 to one decimal place = 36.3
b) To the nearest hundredth:
Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,
36.2598 to the nearest hundredth = 36.26.
c) to nearest 0.001
Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.
This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.
Therefore,
36.2598 to the nearest 0.001 = 36.260
d) to the nearest whole number
Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.
For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.
36.2598 to the nearest whole number = 36.
what is 0.73 as a decimal
Answers
Answer:
0.73
Step-by-step explanation:
The decimal 0.73 is already in decimal form.
Answer:
73/100
Step-by-step explanation:
I put it down as 100
So 73/100 is the answer
Which of the following is a numerical expression that involves addition? x + 8 7 – x 2 + 5 6x
Answers
Answer:
x+8
Step-by-step explanation:
This is because in this answer, there are two terms with an addition sign in between them.
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
Answers
Answer: D
Step-by-step explanation:
y=4√2
This triangle is isosceles. Thus, two of the legs are congruent by A.S. Thm
D is the only choice with y = 4√2.
In a class of c children,2/5 are boys What fraction are girls?
Answers
Hello! :)
________ ☆ ☆______________________
Answer:
3/5
Step-by-step explanation:
Here is the work:
You only have to subtract and you will get your answer.
5/5-2/5=3/5
We know 1 whole equals to 5/5, and there is 2/5 boys
So there will be 3/5 girls
Hope this helps! :)
_________ ☆ ☆________________________
By, BrainlyMember ^-^
✨ Good luck! ✨
Answer: 3/5c
Step-by-step explanation:
2/5 is 40%. 100-40=60. Thus, 60% of c, or 3/5c are girls.
Hope it helps <3
Twice the sum of two numbers is 72 if one number is 20 then the other number is_______
Answers
Answer:
16
Step-by-step explanation:
If you add 16 to 20 then you get 36. twice of 36 is 72
A student was given the following diagram and asked to prove that ac=xc. What would be the reason for the second step in the proof?
Answers
Answer:
Reflexive property
Step-by-step explanation:
WIL GIVE BRAINLIEST IF ANSWER FAST! Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718
Answers
Answer:
224
Step-by-step explanation:
Substitute x = 4 and y = 2 into the expression and evaluate
7x²y = 7 × 4² × 2 = 7 × 16 × 2 = 7 × 32 = 224.
Hope this helped you!
BRAINLIEST!!!! Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?
Answers
Answer:
16 tricycles
Step-by-step explanation:
First, let's make a chart:
Bicycles- x bicycles and 2x wheels
tricycles- y tricycles and 3x wheels
Four wheeled vehicles- 2 bikes (given), 8 wheels
Since the total amout of bikes is 40, that means that x+y+8=40
You can simplify that to x+y=38.
now, we're going to form another equations dealing with the number of wheels.
Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92
Solve the system of equations:
2x+3y=92
x+y=38
y will be 16
An equation is formed of two equal expressions. There are a total of 16 tricycles.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.
The total number of vehicles is 40. Therefore, we can write the equation as,
x + y + 2= 40
x + y = 38
Solving the equation for x,
x = 38-y
Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,
2x + 3y + 2(4) = 100
2x+ 3y = 92
Substitute the value of x from the above equation,
2(38 - y) + 3y = 92
76 - 2y + 3y = 92
y = 16
Hence, there are a total of 16 tricycles.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
Mr. Avogadro started with 5.14x1022 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 1021 atoms of Pa-234. What s the half life of Pa-234?
Answers
Answer:
The half life of Pa-234 is approximately 0.0701656609 days
Step-by-step explanation:
The formula for half life is calculated as:
t½ = t.In(2)/In(No/Nt)
Where:
t½ = Half life of the substance in days
t = Time elapsed in days
No = Beginning amount
Nt = End Amount
In the question,
t = Time elapsed = 10 days
No = Beginning amount = 5.14 × 10²²
Nt = End Amount = 6.43 × 10²¹
t½ = t.In(2)/In(No/Nt)
t½ = 10.In(2)/In(5.14 × 10²²/6.43 × 10²¹)
t½ = 6.9314718056/98.78723754
t½ = 0.0701656609 days
The half life of Pa-234 is approximately 0.0701656609 days
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
a) 8
b) 9
c) 10
d) 11
e) 12
Answers
In my view option D but it can be wrong
How many different 2-digit numbers are there with the following property: it is even and its digits are distinct?
Answers
Answer:
There are 41 different 2-digit numbers with the following properties in the question
Step-by-step explanation:
This may not be easy, but I counted them all:
10
12
14
16
18
20
24
26
28
30
32
34
36
38
40
42
46
48
50
52
54
56
58
60
62
64
68
70
72
74
76
78
80
82
84
86
90
92
94
96
98
I counted them. There were 41 numbers.
In conclusion, there are 41 2-digit numbers with the following properties: it is an even number and its digits are distinct.
Find the value of x.
Answers
Answer:
x = √21.
Step-by-step explanation:
Triangles ADB and BCD are similar.
So their corresponding sides are in the same ratio:
x / 7 = 3 / x
x^2 = 21
x = √21.