Answer:
Shape A is congruent to shape D and has been translated 2 units to the right
Shape B is congruent to shape E and translated 1 unit to the left.
Step-by-step explanation:
Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The shapes are given in the picture.
From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol ≅.
Form A has been translated into two units to the right and is congruent with shape D.
Form B is translated one unit to the left and congruent to shape E.
Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
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find the cost of of 1/2 litre if if 6 litres cost £7.20
if 6 litres cost £7.20
then 1/2 of it will cost 'x'(algebraic value)
we form equation
[tex] \frac{ 7.2}{6} \times \frac{1}{2}x[/tex]
which is equal to 0.6
Cost of 1/2 liter is £0.6.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
Cost of 6 liters ⇒ £7.20
Cost of 1/2 liter ⇒ X
According to the unitary method
6X = [tex]7.20\times\frac{1}{2}[/tex]
X = [tex]\frac{7.20}{6}\times\frac{1}{2}[/tex]
X = [tex]\frac{3}{5}[/tex]
X = £0.6
Cost of 1/2 liter is £0.6
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PLEASE HELP!!! I will give you brainliest!
Answer:
6
Step-by-step explanation:
The range of the middle 50% is the right side of the box subtracting the left side of the box
14-8
6
Suppose the average yearly salary of an individual whose final degree is a master's is $50 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $124 thousand. Find the average yearly salary of an individual with each of these final degrees.
Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".
According to the information given:
The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:
M = 2B - $50,000
The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:
B + M = $124,000
Now we can solve this system of equations to find the values of B and M.
Substitute the value of M from the first equation into the second equation:
B + (2B - $50,000) = $124,000
3B - $50,000 = $124,000
Now, solve for B:
3B = $174,000
B = $174,000 / 3
B = $58,000
Substitute the value of B back into the first equation to find M:
M = 2B - $50,000
M = 2 * $58,000 - $50,000
M = $116,000 - $50,000
M = $66,000
So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
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A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?
Answer:
Small shirts = 12 shirts
Large shirts = 18 shirts
Step-by-step explanation:
Given information
There are plans for ordering 24 medium shirts.
For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.
STEP ONE: Find how many groups of [4 medium shirts] are ordered.
24 / 4 = 6
There should be 6 groups of 4-medium-shirts orders.
STEP TWO: Find the number of small shirts.
6 × 2 = 12 shirts
STEP THREE: Find the number of large shirts.
6 × 3 = 18 shirts
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
someone pls explain how to get the answer pls..
Answer:
B
Step-by-step explanation:
For example, if i gave u 28
The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28
Each spot has it own name
For example if i gave u the number 12345
5 is in the first spot, therefore 5 x 1 =5
4 is in the tenth spot, therefor 4 x 10 = 40
3 is in the hundred spot, therefore 3 x 100 =300
2 is in the thousand spot, therefore 2 x 1000=2000
1 is in the ten thousand spot, therefore 1 x 10000
=100000
So if u add all these numbers together u will get
12345
OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600
The 3 in 74139 is in the ten spot, so 3 x 10=30
So the product is to multiply them together
600 x 30 =18000
(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)
Answer:
105
Step-by-step explanation:
219+(-114)=219-114=105
i dont know how to solve this
Answer:
x° = 43°x° = 51°x° = 86°Step-by-step explanation:
Given,
x + ( x + 8) + 2x = 180° [Since angle sum property of triangle]
=> x + x + 8 + 2x = 180
=> 4x + 8 = 180
=> 4x = 180 - 8
=> 4x = 172
[tex] = > x = \frac{172}{4} [/tex]
=> x = 43
As,
We got value of x as 43 so,
x° = 43°
x° = 43 + 8 = 51°
x° = 2 × 43 = 86°
Answer:
180
Step-by-step explanation:
Which of the following is not true about the number given below?
-6.7
a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.
PLEASE HELP ME!
Answer:
b. The opposite of the number is negative
Step-by-step explanation:
the opposite of -6.7 would be 6.7 not a negative
The largest moth is the Atlas moth. The Atlas moth is
11.8 inches long Which of the following is the lenghth
of the Atlas moth written as a mixed number
A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.
Answer:
95kg
Step-by-step explanation:
Mass÷Volume=Density
Therefore, Mass = Volume × Density
Mass = 1500 × 95
Mass = 95,000g
Since we were asked to find the mass in kg:
1000g = 1kg
Therefore, 95,000g = 95kg
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system is shown represents this equation. x + y = 24 3x + 5y = 100
X=10
Y=14
Step-by-step explanation:
Solve simultaneously using substitution method as shown in the image
express x²+4x-2 in the form of (x+a)²+b
Answer:
(x+2)^2-6
Step-by-step explanation:
(x+2)^2 = x^2 + 4x + 4
x^2 + 4x + 4 -6 = x²+4x-2
Answer:
(x + 2)² - 6
Step-by-step explanation:
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 4x
x² + 2(2)x + 4 - 4 - 2
= (x + 2)² - 6
Ok guys i need HELP so im new to this school, and there is this boy he is rlly FINE, and i rlly like him, i think he likes me back, but i dont know. so far, i caught him staring at me in class, he complimented my waterbottle, and he trys to keep a coversation going. I play softball, he plays baseball, and he thinks thats cool i play softball, oh and he always begs me to pick him to be on my team for pe class. do u think he likes me? if so how can i make him like me more. and how do i tell him i like him?
Answer:
girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.
Step-by-step explanation:
the dance club is selling tickets to the next showcase adult tickets cost $5 and children's tickets cost $2 they sell twice as many adult tickets as children's tickets and it seemed made $700 total write an equation to represent the total ticket sales
Hey there! I'm happy to help!
Let's have the adult tickets be a and the children tickets be c.
a=2c (twice as many adult tickets as child tickets)
5a+2c=700 (dollar value of each ticket)
Have a wonderful day! I hope that the helps! :D
Alyssa bought 2 packs of football cards for $4.52 each, and a deck of Digimon Cards
for $11.47 with two $20 bills. Alyssa found $7.72 in her pocket. How much change
did Alyssa get?
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
change this recurring decimal into fraction
Answer:
[tex] \frac{3393939}{10000000} [/tex]
Step-by-step explanation:
[tex]0.(3)3(9) = \frac{3393939}{10000000} [/tex]
Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Someone plz help giving brainliest
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
Is -√15 irrational or rational
m²+16m=4 give the number that must be added to both side
this is correct solution thank you
For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know that you walk 0.05 miles per minute and jog 0.1 per minute how much time were you walking. Jogging.
Please write the equation and solve it. Thank you
First person to answer will get brainliest
Let the time spent in walking = x minutes
And the time spent in jogging = y minutes
If I walk with the speed = 0.05 miles per minute
Distance covered in walking = Speed × Time
= 0.05x miles
If I jog with the speed = 0.1 miles per minute
Distance covered in jogging = Speed × Time
= 0.1y miles
Since, screen displays the distance covered in walking and jogging = 2.5 miles
Equation for the situation will be,
0.05x + 0.1y = 2.5
5x + 10y = 250
x + 2y = 50 -------(1)
Total time spent in walking and jogging = 30 minutes
Therefore, equation for the situation will be,
x + y = 30 ----- (2)
By subtracting equation (2) from equation (1),
(x + 2y) - (x + y) = 50 - 30
y = 20 minutes
By substituting the value of y in equation (2),
x + 20 = 30
x = 10 minutes
Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.
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Find the supplement of 122 degrees 45'
Answer:
Step-by-step explanation:
Supplement angle is 57degree 15'
The distance from Tallahassee, Florida, to London, England, is 4.368 x 103 miles. The distance from
London, England, to Tokyo, Japan, is 6.424 x 103 miles. If you were to fly from Tallahassee to London
and then to Tokyo, how many miles would you have traveled?
A. 2.056 x 103
B. 28.06 x 103
C. 1.0792 x 104
D. 10.792 x 106
A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?
Answer:
10
Step-by-step explanation:
[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]
[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]
[tex]\\ \rm\longmapsto Speed=80km/h[/tex]
Time=14h[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]
[tex]\\ \rm\longmapsto Distance=80(14)[/tex]
[tex]\\ \rm\longmapsto Distance=1120km[/tex]
how do you solve sin(x) + cos(x) * tan(x)
Step-by-step explanation:
[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]
Step-by-step explanation:
sin(x) + cos(x) = sin x ÷cos x
sin(x) + cos(x) sin(x) ÷ cos (x)
join cos x and sin x
sin x + sin x
cancel cos x with cos x
The answer is 2 sin x
What is the coefficient of y? – 5x + 6y
Answer:
Five and six is the coefficient
2. Write each of these expressions in the form (+)!+, where and are constants.
a)6!+12−3
b)−18+3!+4
Step-by-step explanation:
a)6!+12-3
=6!+9
b)-18+3!+4
=3!-14
=3!+(-14)
both are in the form if (+)!+constant.
Note:if you need to know any question about it please let me know.
12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
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can we add 4x and 3y? why?
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
no we cannot add them, though we can multiply or divide them. You cannot add them because they have different variables, we need the same variables to add or subtract those.
Step-by-step explanation:
Hope it helps
keep smiling :)
In a sample of 600 college students, 87.2% said they graduated from high school. How many of the students graduated from high school?
Answer:
523.2 students
Step-by-step explanation:
87.2%×600=523.2 students
Answer:
523.2
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
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