Answer:
two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.
(instead of translations/rotations we could write transformations, but there are transformations that also change the size of the figure, so I think that writing translations/rotations is more precise)
Step-by-step explanation:
Two figures are congruent if they have the same shape and size.
So for example, if we have one triangle, and we reflect that triangle along some line, those bot images will have the same shape and size (but maybe different orientations) so the triangles are still congruent.
Also, we could translate the image, or simply rotate it along some point, and the resulting image will be congruent to the initial image.
Then two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.
The composition that maps one polygon to the other polygon to make both congruent is called; Similarity transformation.
In transformations in mathematics, it could involve dilation, translation, rotation e.t.cNow, we are told that there has to be a composition that will map one polygon to another one. This means that the two polygons must have the same shape after transformation.
The only method of transformation that can achieve mapping of one polygon to another is called similarity transformation.Read more about Similarity transformations at;
https://brainly.com/question/15500010
pls helppp! tysmmmm!!
Need help with exponential functions for a test!!!!!
The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?
1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
3. C(t)=10(1.986)^t
4. C(t)= 240(1.986)^t/24
Given:
The function is:
[tex]C(t)=10(1.029)^{24t}[/tex]
Where, C(t) is the total number of cells after t hours.
To find:
The function that is approximately equivalent to C(t).
Solution:
We have,
[tex]C(t)=10(1.029)^{24t}[/tex]
It can be rewritten as:
[tex]C(t)=10(1.029^{24})^{t}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]C(t)\approx 10(1.986)^{t}[/tex] [tex][\because 1.029^{24}\approx 1.986][/tex]
The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).
Therefore, the correct option is 3.
Answer:
c
Step-by-step explanation:
Help me frl :( I don't understand and this is worth 25 point I'm willing to do that
omg I do not understand this
Answer:
missing length is 8
Step-by-step explanation:
17^2 - 15^2 = 64
square root of 64 is 8
Answer:
8 inches
Step-by-step explanation:
Use the Pythagorean Theorem:
a²+b²=c²
15²+b²=17²
225+b²=289
b²=64
b=8
Therefore, the missing side is 8 inches long.
Hi, can someone please help me find the answer? There should be more than one and I would really appreciate it!
Answer:
A B C and F
Step-by-step explanation:
When one is over an exponent that means the exponent is negative. so then you find two exponents that equal -6 :)
PLEASE PLEASE PLEASE TELL ME HELP HELP
Answer:
78%
Step-by-step explanation:
Ok to solve this we can write this as
80 = [tex]\frac{73+82+85+83+x}{5}[/tex]
We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%
Your grade is the average of all of your scores hence the divided by 5
We next multiply both sides of the equation by 5 to get
400 = 72+82+85+83+x
400= 322+ x
78 = x
He must get a 78% minimum on his next test to get 80%
Hope that helps!
930-7.94*101+7.94
With Steps
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{930-7.94\times101+7.94}[/tex]
[tex]\mathsf{-7.94\times101 = \bf -801.94}[/tex]
[tex]\mathsf{= 930-801.94+7.94}[/tex]
[tex]\mathsf{930 - 801.94= \bf 128.06}[/tex]
[tex]\mathsf{= 128.06+7.94}[/tex]
[tex]\mathsf{= \bf 136}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 136}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The range of a data set is 14. If the smallest number in the set is 24.
What is the largest number?
rename the mixed number as an improper faction
a. 3/5
b. 12/5
c. 2/6
d 7/5
Answer:
no
Step-by-step explanation:
Find the measure of the central angle of the circle if the Area of the sector is 120 square cm. and the radius is 6 cm.
a . ) 135
b . ) 120
c . ) 105
d . ) 85
explanations would be super
appreciated too
Sonny has $75 to spend the night the new Nintendo switch game that he wants to buy requires $93 his parents had they will lend him the money if he can figure out how much he needs which integer below represents how much more money does he need to borrow
-18
+168
+18
+75
Answer:
he needs 18 more dollars from his parents
Step-by-step explanation:
93-75=18 therefore he is missing 18 dollars
if (1x2y6z) is a number divisible by 9 , then what os the least value of x+ y+z ?
Given:
Number 1X2Y6Z is divisible by 9.
To find:
The least value of X+Y+Z = ?
Solution:
First of all, let us learn the divisibility rule of 9.
A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.
For example:
Let us consider a number 923463.
The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27
27 is divisible by 9 so the number 923463 will also be divisible by 9.
Let us consider another example 8972.
Sum of digits = 26
26 is not divisible by 9 so the number 8972 will also be not divisible by 9.
Now, we are given the number 1X2Y6Z.
Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z
The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.
The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9
which will make the number 1X2Y6Z divisible by 9.
So, the answer is:
Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.
9514 1404 393
Answer:
0
Step-by-step explanation:
For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.
The least value of x+y+z is 0.
_____
102060/9 = 11340
split 50 into the ratio 9:1 what is the answer
Answer:
46
Step-by-step explanation:
The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.
To split the number 50 into a specific ratio, 9:1. This means we need to divide 50 into two parts, where one part is nine times larger than the other part.
To split 50 into the ratio 9:1, we need to divide the number 50 into two parts, let's call them "x" and "y." The ratio 9:1 tells us that one part is nine times larger than the other. So, we can express this relationship mathematically as:
x = 9y
Now, we know that the sum of the two parts, x and y, should add up to 50:
x + y = 50
Since we have an expression for "x" in terms of "y," we can substitute it into the second equation:
9y + y = 50
Now, let's combine the y terms:
10y = 50
Next, we isolate "y" by dividing both sides of the equation by 10:
y = 50 / 10
y = 5
Now that we've found the value of "y," we can use it to find "x" using the first equation:
x = 9 * 5
x = 45
So, the two parts are x = 45 and y = 5. We can verify that the ratio is indeed 9:1:
x / y = 45 / 5 = 9
And the sum of the two parts is:
45 + 5 = 50
The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.
In summary, to divide 50 into the ratio 9:1, we found that one part (x) is 45, and the other part (y) is 5. This satisfies the condition that one part is nine times larger than the other, and their sum is 50.
To know more about Ratio here
https://brainly.com/question/70116
#SPJ2
What is the value of x in the figure shown
URGENT PLS
Answer:
x is 19
Hope it helps!!!
Step-by-step explanation:
HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)
Answer:
should be A sorry if I'm wrong
12 + 6x > 18
HELPPppp
Answer:
I used math-way, solved for x and got this
x>1
Step-by-step explanation:
Mai went to a store and brought 4 items. Each item cost the same. She spent $32. How much did each item cost?
Answer:8
Step-by-step explanation:devide 32 by 4
HELP PLEASE!!!!
what is the midpoint of (-5,-5) and (-1, -1)
Answer:
(-3,-3)
Step-by-step explanation:
6(x+4)+1= What is the answer to this great math problem
Answer:
6x+25
Step-by-step explanation:
Answer:
The simplified equation is 6x+25
Step-by-step explanation:
First, you open parentheses or in other words, use distributive property: 6*x+6*4+1. If you simplify that, you get 6x+24+1 which is basically 6x+25. So 6x+25 is your final answer.
Lines L and M are parallel find : m<2
Answer:
38 I believe let me know if I'm right
Step-by-step explanation:
...
11.
Given that sin θ= √3 / 2, we want to find the value of cos θ.
First, find the value of θ.
See attachment for reply and answer.
solve: log3(x)+log3(x-2)=log3(x+10)
log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )
log3 ( x )( x - 2 ) = log3( x + 10 )
log3 ( x^2 - 2x ) = log3( x + 10 )
x^2 - 2x = x + 10
x^2 - 3x - 10 = 0
( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2
Please help me,.........
Answer
19?
Step-by-step explanation:
Find the value of x.
10
11
12
13
Answer:
11=x
Step-by-step explanation:
This quote came from _________. "He brought the cup to his lips and drank off the poison"
Answer:
Socrates
Step-by-step explanation:
A triangle has three angles that measure 25 degrees, 75 degrees
(7x + 10). What is the value of x?
Answer:
x=10
Step-by-step explanation:
Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
y=x+6
y=-2x+8
y=-2x+4
y=1/2x+4
Answer:
ehhehrjrh4h4hehejejru4u4u
Need help with this question
2 + (4h- 1) = 13h
Need All Steps Plz
Answer and Step-by-step explanation:
For this equation, we are solving for h.
We are given the equation:
2 + 4h - 1 = 13h
First, we need to Simplify the equation.
2 - 1 + 4h = 13h
1 + 4h = 13h
Now, we need to Subtract 4h from both sides of the equation.
1 + 4h - 4h = 13h - 4h
1 = 9h
Finally, we Divide both sides by 9 to get h.
[tex]\frac{1}{9} = h[/tex]
h is equal to [tex]\frac{1}{9}[/tex].
To check your answer, we plug [tex]\frac{1}{9}[/tex] back into the given equation.
[tex]2 + 4(\frac{1}{9} ) - 1 = 13(\frac{1}{9} )\\\\\\\\2 + \frac{4}{9} -1 = \frac{13}{9} \\\\\\1 = \frac{9}{9} \\\\1 = 1[/tex]
I hope this helps!
#teamtrees #PAW (Plant And Water)
Help with #10 I’ll give brainleist.
Answer:
Step-by-step explanation:
A looks like the only good answer
The account is not decaying... or going down, it's going up at about 4.5% per year. so the 5,000 is what is the initial investment, and the 1.045 is the amount it's going up by, where the exponent of 't' is how many times it's going up
James has a board that is 3/4 foot long he wants to cut the board into pieces that are each 1/8 foot long long division
Answer:
6 pieces can be cut out of the board
Step-by-step explanation:
The complete question is
James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can James cut from the board?
Solution
Given,
The total length of the board is equal to [tex]\frac{3}{4}[/tex] feet
Total number of pieces to made = X
Size of each piece that is cut from the board is [tex]\frac{1}{8}[/tex] feet long
Total number of pieces that can be cut from the board is equal to total size of board divided by size of each sub part
[tex]X = \frac{\frac{3}{4} }{\frac{1}{8} } \\X = \frac{3}{4} * \frac{8}{1} \\X = 3 * 2 \\X = 6[/tex]
Hence, 6 pieces can be cut out of the board