Answer:
Rigid Motion and Congruence Two figures are congruent if and only if there exists one, or more, rigid motions which will map one figure onto the other. (thus maintaining the conditions for the figures to be congruent).
Step-by-step explanation:
Two figures are congruent if and only if one or more rigid movements can map one figure onto the other, according to the link between rigid motion and congruence.
Rigid motions and congruence are closely related concepts in geometry.
Rigid motions are transformations that preserve the shape and size of a geometric figure.
They include translations, rotations, and reflections.
Congruence, on the other hand, refers to the relationship between two geometric figures that have the same shape and size.
When two figures are congruent, it means that they can be transformed into each other using a combination of translations, rotations, and reflections, which are all types of rigid motions.
In other words, if two figures are congruent, it implies that there exists a sequence of rigid motions that can be applied to one figure to transform it into the other figure.
Conversely, if two figures can be transformed into each other through rigid motions, then they are congruent.
The key idea is that rigid motions preserve the length of segments, the measure of angles, and the overall shape of figures.
By using rigid motions, we can establish congruence between geometric figures.
This concept is fundamental in geometry as it allows us to compare and analyze shapes and their properties.
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Please hurry for a grade!!
Answer:
It is the first answer choice i believe.
Step-by-step explanation:
There is no way for the bottom line y to be the same as the other side. It has to be smaller since the angles are not the same.
What do I do 900m = 2.700
Step-by-step explanation:
given
900m = 2.700
m = 2.700 / 900
m = 0.003
Hope it will help :)
Please please help I will mark brainliest explain your answer
Answer:
BE congruent to AD
Step-by-step explanation:
not sure
Answer:
ba
Step-by-step explanation:
Jeff took his son to Great Clips to get his hair cut. His hair cut cost $9 with tax
included. Jeff left a 20% tip. How much was his total?
Answer:
$10.80
Step-by-step explanation:
That’s the answer
PLS HELPPPP GRADES DUE!
Answer:
Step-by-step explanation:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2
Answer:
Yea wut she said ._. above me...
Step-by-step explanation:
Find the solution of the system of equation 2x+2y=2 5x+4y=2
Answer:
(-2,3)
Step-by-step explanation:
What is the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm?
Answer:
29
Step-by-step explanation:
20^2 times 3.14= 1256
21^2 times 3.14= 1384.74
the sum of those two is 2640.74
the square root of that is 29
The radius of the circle is 29 cm.
We have the circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm.
We have to find the radius of the circle.
Suppose you have to find the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are r and R. How will you approach it?Let the radius of the circle be x.
We know that the area of the circle is [tex]\pi r^{2}[/tex]. Then -
[tex]\pi x^{2} =\pi r^{2} +\pi R^{2} \\x=\sqrt{r^{2} + R^{2}} \\[/tex]
Now, in the question given to us -
r = 20cm and R = 21cm and 'x' denotes the radius of the circle we have to find.
Substituting the values in the above formula, we get -
x = [tex]\sqrt{400+441}[/tex]
x =29 cm
Hence, the radius of the circle is 29 cm.
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Which expression represents “two less than the product of three and a number”?
Step-by-step explanation:
it says two less which means that you would be subtracting 2 from 3 and a number wich is 3x - 2
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The expression that represents the statement
“two less than the product of three and a number” is
3M - 2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x - 4 + 5 is an expression.
3x = 5 + 4 is an expression.
We have,
“two less than the product of three and a number”
Let the number be = M
This can be written as,
3 x M - 2
= 3M - 2
Thus,
The expression that represents the statement
“two less than the product of three and a number” is
3M - 2.
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I need help! I would appreciate if you show me the work! Thank you !
Answer:
-11 for the first one and 0 for the second one
Step-by-step explanation:
U are suppose to find out what they did wrong in the first box. Then in the secon box show the correct way. Help me and if u don’t know don’t answer
Answer is 3
Step-by-step explanation:
first what you do is you rearrange the numbers so the eqaution is -2x+4=-2
SO what you do is (4) - 4 to cancel it out then you do the same thing on the other side so (-2)-4=-6 so the equation now is -2x=-6 then you divide -2 to cancel it out and you do the same thing -6 divide by -2 is 3 so the answer is 3
it is 212.5°C outside when the temperature starts increasing by 2.5°C each hour. How long will it take for the temperature to reach 25°C?
Answer: 75 hours
Step-by-step explanation:
Assuming you meant decreasing... you find out the span between 212.5 and 25 which is 187.5 and then divide it by 2.5 (which is the change)
When would you use the vertical line test?
A. to test whether a graph is linear
B. to test whether a graph has an x-intercept
C. to test whether a graph is continuous
D. to test whether a graph represents a function
Answer:
D. to test whether a graph represents a function
Step-by-step explanation:
The vertical line test is used to determine if a graph of a relationship is a function or not.If you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Answer:
D. to test whether a graph represents a function
Step-by-step explanation:
I got it right on my test
I hope this helps :)
The expression (x^13)(x^6) is equivalent to x^p. What is the value of p?
Answer:
p=19
Step-by-step explanation:
since the instructions say that ([tex]x^{13}[/tex])([tex]x^{6}[/tex]) is equivalent to [tex]x^{p}[/tex], we can make the equation:
([tex]x^{13}[/tex])([tex]x^{6}[/tex])=[tex]x^{p}[/tex]
now, apply the laws of exponents; [tex]a^{m} * a^{n} =a^{m+n}[/tex]
in that case, since we're multiplying x to the 13th power by x to the 6th, the result is [tex]x^{13+6}[/tex], which is [tex]x^{19}[/tex]
the equation now:
[tex]x^{19}[/tex]=[tex]x^{p}[/tex]
since the exponents are at the same base, we can solve the equation
19=p
so p is 19
hope this helps :)
Fernando built a robot to filter air and water efficiently. He expects the robot to filter more than 512 liters
of air and water while using less than 9 Joules of energy.
A represents the number of minutes the robot filters air, and W represents the number of minutes the
robot filters water.
21A + 14W > 512 represents the number of minutes the robot filters air and water to filter more than
512 liters of air and water.
0.36 A + 0.6W < 9 represents the number of minutes the robot filters air and water while using less
than 9 Joules of energy.
Does the robot meet both of Fernando's expectations by filtering air for 15 minutes and filtering water for
5 minutes?
The robot does not meet both of Fernando's expectations.
A represents the number of minutes the robot filters air.
W represents the number of minutes the robot filters water.
What is inequality?Inequality is a statement stating two expressions are not equal.
Expectation 1:
21A + 14W > 512
Given A=15 minutes
W=5 minutes
So, 21A + 14W =21*15 +14*5 =370
370<512
So, the robot does not meet Fernando's first expectation.
Expectation 2:
0.36 A + 0.6W < 9
A=15 minutes
W=5 minutes
So, 0.36 A + 0.6W =0.36*15+0.6*5 = 8.4
8.4<9
So, the robot meets Fernando's second expectation.
Hence, the robot does not meet both of Fernando's expectations.
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Which values from the set {-6, -4,-3,-1,0, 2} satisfy this inequality? 1 X +3 > 5 2
Answer:
[tex]if \: the \: inequality \: is \: (1x + 3 > 52) \\ so \: there \: is \: not \: any \: value \: satisfy \: it \: \\ \\ but \: i \: think \: there \: is \: some \: errors \: in \: the \: form \: of \: it \: \\ if \: that \: is \: right \: \\ can \: you \: send \: the \: correct \: form \: below \: in \: comment \: please[/tex]
plz answer only if you know it's correct. willl give brainliest to best answer
Answer:
i believe is is 3/2
Step-by-step explanation:
as y goes up 30 x goes over 20
30/20 simplified is 3/2
Answer: slope = 3/2
brainliest plz
Step-by-step explanation:
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?
Answer:
Step-by-step explanation:
4+3+5= 12 marbles
3/12 * 2/11 = 6/132 = 4.5%
The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
Answer:
8 units²
Step-by-step explanation:
The area (A) of the shaded part (right triangle ) is calculated as
A = [tex]\frac{1}{2}[/tex] × area of rectangle
= 0,5 × 4 × 4 = 0.5 × 16 = 8 units²
Answer:
8 units ^2 are shaded
Step-by-step explanation:
The total area of the square is 4 * 4 = 16
1/2 of the square is shaded so
1/2 * 16 = 8
8 units ^2 are shaded
Help. 100 more points. 1. Consider the surface area of the following pyramid.
(a) Calculate the total surface area of the pyramid. Show your work.
(b) Calculate the lateral surface area of the pyramid. Show your work.
Answer:
(by the way, a and b are not ANSWERS. if you answer with a or b i will find you and flick your head.)
Answer:
275 52.2 there you go um im not sure how to help you on the show your work but i hope this helps
Answer: The lateral area of a right pyramid can be calculated by multiplying half of the perimeter of the base by the slant height. This is summarized by the formula: LA 5 Ps. We can relate this formula to the square pyramid below and its net. The side length of the base of the pyramid is b, and the slant height is s.
Sketch a cylinder with radius 8 feet and height 3 feet, then find the volume.
Answer: 339.29ft^3
Step-by-step explanation:
The formula for a cylinder is πr^2h
In your scenario, r=8 and h=3 so put those into the equation -
π8^2(3) and just solve!
3a.) Today, everything at a store is on sale. The store offers a 20% discount. 1 poin
The regular price of a T-shirt is $18. What is the discount price? *
Your answer
Answer:
14.40
Step-by-step explanation:
100%-> 18
100-20=80
80%-> 14.40
What is the factored form of 49x2 - 56x + 16
(7x-4)2
(7x + 4)(7x-4)
(7x +4)2
O (7x-8)2
Answer:
(7x-4)^2
Step-by-step explanation:
A person invest $3000 in a bank the bank pays 6.75% interest compounded semi annually to the nearest 10th of a year how long must a person leave the money in the bank until it reaches $6700
Answer:
It would take 12.1 years.
Step-by-step explanation:
We are given with $3000 invested in bank pays 6.75% interest compounded semi annually to the nearest 10th. We are asked to find the number of years the bank reaches $6700.
Let's use the compound interest formula.
[tex]A= P(1+\frac{r}{n}) ^{nt}[/tex]
We know A=6700
P=3000
r =0.0675
n=2(because compounded semiannually)
t =?( we need to find it)
Plug in the known values into the formula.
[tex]6700=3000(1+\frac{0.0675}{2}) ^{2*t}[/tex]
Simplify and solve for 't'
Divide both sides by 3000
[tex]2.23333= (1.03375)^{2t}[/tex]
Take log on both sides
[tex]log(2.23333) = 2t log(1.03375)[/tex]
Divide both sides by log(1.03375)
24.2067=2t
Divide both sides by 2.
t=12.10...
To round to nearest 10th, we get t=12.1 years.
Find the slope of the line that passes through (2, 12) and (6, 7).
Answer:
m=[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Gladly!
To find the slope, we need to find the change between point a and point b
With the difference between x1 and x2 being 4, and the difference between y1 and y2 being 1, we get a fraction that looks like this,
[tex]\frac{1}{4}[/tex]
This right here is the slope of the line. Hope this helps!
PLEASE HELP ASAP!!!
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
Answer:
should be 2 excluding the start (origin)
Step-by-step explanation:
A square has a perimeter of 62 inches what is the length of each side
Answer:
15.5 in
Step-by-step explanation:
perimeter = all way round
62 / 4 (sides) = 15.5
I need help with these questions. Please show workings.
Answer:
see explanation
Step-by-step explanation:
∠ AOB = 360° - 264° = 96°
The altitude OM bisects ∠ AOB and the base AB
(a)
∠ MOB = 0.5 × 96° = 48°
Using the cosine ratio in right triangle MOB
cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )
Multiply both sides by r
r × cos48° = 18 ( divide both sides by cos48° )
r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )
(b)
Using the tangent ratio in the right triangle MOB
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )
18 × tan48° = MB then
AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )
find the slope
y=-2x+4
Answer:
srry i need the points so i can go to sleep because i have to fish my work
Step-by-step explanation:
Plz help me I need in today
Answer:
Part b.
Step-by-step explanation:
Ok, so I think what you can do for part b. is pretty simple. You know that $820 is for 4 weeks of work. 820/4 = 205. So he gets $205 per week. If 820 = 100%, then 205*3 = 75%. So the answer would be he will recieve 75% of his usual pay, and that will be $615.
Pls helpppp I don’t know how to do this
Answer is 53911
Step-by-step explanation:
Just multiply to get the answer
Answer:
The answer is 526.5
Step-by-step explanation:
First, I separated the shapes. Then, I found the area of each shape. The area of the triangle was 149.5, and the area of the rectangle was 377. Finally, I added them together and got 526.5.
HOPE THIS HELPED!!! PLEASE VOTE BRAINLIEST!!