Quadrilateral ABCD has both reflection and rotation symmetry. What type of quadrilateral could it
be? Show or explain.
Answer:
Rhombus
Step-by-step explanation:
So if |AB| = |BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely \overleftrightarrow{BD}. Quadrilateral ABCD is what is called a kite.
Since ℓ contains two vertices of ABCD the other two must be reflections of one another about ℓ. In the picture ℓ goes through A and C and D=rℓ(B). So rℓ interchanges AD¯¯¯¯¯¯¯¯ and AB¯¯¯¯¯¯¯¯ and also interchanges CB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. So if |AB|=|BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely BD←→. Quadrilateral ABCD is what is called a kite. Note that we have implicitly used the fact that ABCD is convex: without this hypothesis, the vertex C could be reflected over BD←→, giving a non convex quadrilateral with exactly one line of symmetry.
Rectangle has rotational and reflectional symmetry.
What is Quadrilateral?
A quadrilateral is a polygon having four sides, four vertices and four angles.
Given that;
Quadrilateral ABCD has both reflection and rotation symmetry.
Now,
A rectangle ABCD has a reflection symmetry because it has two line of symmetry.
And, Rotational symmetry is defined as the number of times an object is exactly identical to the original object in a complete 360° rotation.
So, Rectangle ABCD has rotational symmetry.
Thus, Rectangle has rotational and reflectional symmetry.
Learn more about the quadrilateral visit:
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Multiply (−7) × (2) × (−2).
−28
−14
28
14
Answer:
Your answer is 28
Answer:
The answer is 28
Step-by-step explanation:
Hope it helps
Kirsty is making a fruit drink for 9 people. How many oranges does she use?
Answer:
9
Step-by-step explanation:
Edgar uses his cell phone all the time, even though it's more expensive between
8 a.m. and 6 p.m. The daytime rate costs 10¢ per minute between 8 a.m. and 6
p.m., while it is 3¢ per minute all other times. If Edgar spent 60 minutes on the
phone at night and 60 minutes during the day, how much would he owe?
Answer:21600
Step-by-step explanation:
Multiply 60 by 2, then by 3. Add 120 and 180 to get 21600.
Consider the matrix.
6 3
5 4
What is the value of |C|?
|C|=
Answer:
e0
Step-by-step explanation:
How many solutions does this nonlinear system of equations have?
A. 1
B. 4
C. 0
D. 2
Answer:
A
Step-by-step explanation:
Answer:
its 2
Step-by-step explanation:
can someone tell me the main idea for both of the story's yeh-shen and cinderella
Answer:
yeh-shen:
The theme in the story is that good things happen to good people and bad things befall on evil people.
cinderella:
Cinderella teaches the morals of kindness towards all, forgiving others for doing wrong, and never letting bad things ruin your heart. The themes of the story are good versus evil and luck changing your life.
Step-by-step explanation:
Jeremy says that 5.676677666777... is a
rational number because it is a decimal that
goes on forever with a pattern. Is he correct?
Why or why not?
Answer:
he is correct bc the pattern correct
Step-by-step explanation:
It took a car 2 days to travel 2274 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)
Answer:
47 mph
Step-by-step explanation:
1 day = 24 hours, so 2 days = 48 hours.
2274/48 (2274 miles per 48 hours, simplify!) This equals 47.375. Round it down to 47 mph.
This is assuming the car took no breaks.
Hope this helps!
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
Answer:
F=36
Step-by-step explanation:
F= 12 times 9 divided 3 = 36
The question requires calculating the objects mass in kilogram (kg)
The mass in kg of the objects is 4 kg
Given:
F = ma
Where,
F = Force (N)
M = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
Read more:
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Which of the following shows a correct estimate for 26% of 78?
Answer:answer is 13
Step-by-step explanation:
So, 26% multiplied by 78 = 2,028 But wait, we have to estimate, means less it.. So, 2,028 = 13 I have reduced 2,028 by dividing it. Answer = 13
A, b, c or d?????? Pls help quick
Answer:
The answer is a
Step-by-step explanation:
have a nice day :)
what is the slope of the line that contains the points (-1,6) and (2,-3)
Answer:
-1,3
Step-by-step explanation:
please help me if you can, thank you!
Answer:
Step-by-step explanation: 3(z-4)= -6
3z-12=-6
3z=6
z=2
What is the equation of the line with a gradient of −2 which passes through the point (3, −5)?
Answer:
y= mx + c
Step-by-step explanation:
y=mx+c
y= -2x+c
-5 = -2(3) +c
-5 = -6 +c
-5 + 6 = c
1 = c
therfore equation is y = -2x + 1
4y²=49 solve the equation
Answer:
y = [tex]\frac{7}{2}[/tex] & y= - [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact form:
[tex]y = \frac{7}{2} , -\frac{7}{2}[/tex]
Decimal form:
[tex]y = 3.5,-3.5[/tex]
Mixed number form:
[tex]y = 3\frac{1}{2} , -3\frac{1}{2}[/tex]
The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.
Answer:ce 6x^2=216
Step-by-step explanation:
since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216
Solve.
6 open parentheses x space minus space 5 close parentheses squared space plus space 1 space equals space 19
Group of answer choices
5 plus-or-minus square root of 3
5 plus-or-minus square root of 10 over 3 end root
13 over 2
Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]
The translation of the problem given is:
[tex](x - 5)^2 + 1 = 19[/tex]
Then, solving:
[tex](x - 5)^2 = 18[/tex]
[tex]x^2 - 10x + 25 = 18[/tex]
[tex]x^2 - 10x + 7 = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:
[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]
[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]
[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]
[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:
[tex]x_1 = 5 + 3\sqrt{2}[/tex]
[tex]x_2 = 5 - 3\sqrt{2}[/tex]
The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]
A similar problem is given at https://brainly.com/question/13094243
simply the following expression
Answer:
[tex] \dfrac{4r^6}{st^8} [/tex]
Step-by-step explanation:
[tex] (4r^{-2}st^4)(r^{-4}st^6)^{-2} = [/tex]
Use laws of exponents to simplify the right set of parentheses.
[tex]= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})[/tex]
Now use the law of exponents for a product of powers with the same base.
[tex] = 4r^6s^{-1}t^{-8} [/tex]
Finally, use the definition of a negative exponent.
[tex] = \dfrac{4r^6}{st^8} [/tex]
triangle
3. The ratio of the angle measures in a triangle is 6: 5:4. Find the angle measures and classify the triangle.
Answer:
12°
Step-by-step explanation:
it is a ratio let represent by x
6x+5x+4x=180
15x=180
x=12°
642 x 115 worked out ?
Answer:
642x115=73830
Step-by-step explanation:
does that help?
Answer:
73,830 is your final answer
Step-by-step explanation:
Need help asap???????
Answer:
sorry man I dont know what it is
Determine the equation of the line.
Answer:
y = 5x -10
Step-by-step explanation:
The y-intercept is -10, as in, the line on the y-axis is at -10
The slope is 5, as in, the line is moving up 5 and right 1. So it should be 5/1x but you don't need the 1. You could use it, but you don't need to. Here's what it would look like if you did use it:
y = 5/1x - 10
eight times the difference of a number and 7. write in algebraic expression.
Answer:
8(n - 7)
Step-by-step explanation:
let the number be n then the difference of n and 7 is n-7
8 times this difference is
8(n - 7)
Answer: 8(n-7)
Step-by-step explanation:
it should be that <3
Find the slope of the line that goes through the given points. (-2,-2) and (0,2)
Answer:
y=mx+b
Step-by-step explanation:
follow this equation
this is algebra 1 id appreciate it if you could help me thx!
Answer:
Option 4: 0
Step-by-step explanation:
Given the function, f(x) = 3x, and the domain. {-3, 1, 4}:
Substitute the values of each domain as inputs into the function:
x = -3f(-3) = 3(-3)
f(-3) = -9
x = 1f( 1 ) = 3( 1 )
f( 1 ) = 3
x = 4f(4) = 3(4)
f(4) = 12
Therefore, the correct answer is option 4) 0, because there is no input value that provides an output of 0. You were only given three domain values that provided its corresponding outputs.
2. Is this graph a function?
A. This is not a function
B. This cannot be determined from graph
C. This is function
Please help!
Geometry.
Proving alternate exterior angles
congruent
answers
A:
-Angle 2 is congruent to angle 3
-Angle 2 is congruent to angle 6
-Angle 3 is congruent to angle 7
-Angle 3 is congruent to angle 6
B:
-Angle 3 is congruent to angle 6 -angle 3 is congruent to angle 7 -angle 6 is congruent to angle 7 -angle 4 congruent to angle 5
Answer:
The answer to A is: "Angle 2 is congruent to angle 3"
The answer to B is: "Angle 3 is congruent to angle 7"
Which rule explains why these triangles are congruent?
Help please, i just need help.
Answer:
Your answer is 28/9 or the last one.
Step-by-step explanation:
28/9 = 3.111111111111.......