The production of congruent figures involves stiff rigid transformation Even if you could imagine them as forms that "appear exactly the same," congruent figures.
Rigid transformation: what is it?During accurate modification of a geometric object, distance between each point pair is maintained. In other words, precise transformations maintain an object's size and shape. For instance, the angles and lengths of a triangle are preserved throughout a rigid transformation. Imagine a stiff shape, such as one made of cardboard, distorting. Even when the shape is rotated, mirrored, and moved left and right, nothing changes.
Here,
When I used putty to create a mold, it was the opposite. After that, users can stretch and twist the objects.
These ratios are not exact though. The distance between every pair of points is altered when the shape is stretched.
Applying rotations, reflection, and translations—three different forms of transformations—can result in congruent shapes.
In reality, by mixing any or all of these three transformations, any congruent shape pairs can be matched to one another.
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The complete question is " Do rigid transformations make congruent figures?"
Larry and Donna bought a sofa at the sale price of $1,152. The original price of the sofa was $1,920.
Find the amount of discount in dollars.
Answer:
$768 would be the discounted amount in dollars
Step-by-step explanation:
1920 - 1152= 768
Put the numbers in each category to which they belong.
f(x) = √(x + 7), g(x) = √(x - 7)
Find the domain of f.
Answer:
[tex]x\ge -7[/tex]
Step-by-step explanation:
Square Root Function:The square root function has a domain consisting of numbers greater than or equal to zero. This excludes negative numbers since the square root of a number, when multiplied by the same square root of a number results in the original number: [tex]y=\sqrt{x}\implies y*y=x[/tex]. If we wanted the square root of a negative number, we would need a number which multiplies by it self to get a negative number, but as you may recall, if we square a real number, we always get a positive. So negative numbers are not included in the domain (although there are imaginary solutions)
So we just need the inside of the square root to be greater than or equal to zero. Thus we can derive: [tex]x+7\ge 0[/tex] and then just subtract 7 from both sides to simplify: [tex]x\ge -7[/tex] and now we have our domain in interval notation.
These polygons are congruent. That means all their corresponding parts are equal in measure. Solve for x.
The measures of x and y in the congruent polygons are:
x = 7
y = 8
What are Congruent Polygons?Congruent polygons are two or more polygons with the same number of sides and the same length for each side. In other words, they are polygons that have the same shape and size.
Two polygons are congruent if and only if it is possible to superimpose one polygon over the other by using a combination of translation, rotation and reflection. Congruent polygons have the same area and perimeter.
Therefore:
m<E = m<A
Substitute the values:
4y - 4 = 28
4y = 28 + 4
4y = 32
4y/4 = 32/4
y = 8
m<F = m<B
Substitute:
10x + 65 = 135
10x = 135 - 65
10x = 70
10x/10 = 70/10
x = 7
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Analyze the diagram below and complete the instructions that follow.
Find the unknown side length, x. Write your answer in simplest radical form.
A.24
B.4// 37
C.2 // 154
D.5 // 117 I posted the pictures below
The value of unknown side length x in simplest radical form is 4√37.
Option B is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Two right triangles.
Applying the Pythagorean theorem in the bigger triangle.
We get,
25² = 7² + Length²
25² = 49 + Length²
Length² = 625 - 49
Length² = 576
Length = √576
Length = 24
Now,
Applying the Pythagorean theorem in the smaller triangle.
We get,
x² = 4² + 24²
x² = 16 + 576
x² = 592
x² = 16 x 37
x = √(16 x 37)
x = √(4² x 37)
x = 4√37
Thus,
The value of x is 4√37.
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1. (5 + 3i)(2 - 2i)
2. (3 + 2i)2
Solve for x:
3. x2 = 36
4. 2x2 - 80 = 120
Pls help with showing work
For all problems
A spherical water tank has a radius of 25 feet. Can it hold enough water to fill a swimming pool 50 meters long, 25 meters wide with a constant depth of 2 meters?
Show your work by comparing each cubic feet
The spherical water tank can not hold enough water to fill up the swimming pool, given the length, width, and constant depth of the water.
How to find the amount of water ?The amount of water that the spherical tank can hold is the volume of the spherical tank. This volume can be found by the formula:
= 4 / 3 x Pi x radius ³
The volume of this spherical tank is therefore :
= 4 / 3 x Pi x 25 feet
= 65, 450 feet ³
Then, to see if it can hold enough water for a swimming pool 50 meters long, 25 meters wide with a constant depth of 2 meters, find the volume of the swimming pool as:
= Length x Width x Depth
= 50 x 25 x 2
= 2, 500 meters ³
1 m³ to feet ³ is 35.3147 so the volume in feet is:
= 2, 500 x 35.3147
= 88, 287 feet ³
The water tank can not hold enough water for the swimming pool.
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By what percentage does your current volume need to increase to meet your goal of 50% of the market share for Category A?
Answer: To determine this percentage, we would need to know the current market share for Category A and the desired market share goal of 50%. With this information, we could calculate the difference between the current market share and the desired market share and express that difference as a percentage of the current market share. Without this information, I am unable to provide an exact percentage.
Step-by-step explanation:
A savings account has four hundred dollars in it. Then x number of dollars is added. What is the total balance of the savings account, y? 1. Identify important information 2. I need to find 3. What is the Equation? 4. Is the equation additive or multiplicative? 5. I know my answer is correct because
Answer:
Step-by-step explanation:
1. Important information: The original balance of the savings account is 400 dollars, x is the number of dollars added, and y is the total balance of the savings account.
2. I need to find: The total balance of the savings account (y).
3. What is the equation: y = 400 + x
4. Is the equation additive or multiplicative: Additive
5. I know my answer is correct because: I can use the equation y = 400 + x to calculate the total balance and then double-check my answer using mental math or by subtracting 400 from the total balance to find the amount added (x).
differentiate with respect to z = (xy²z)². x²yz³ + (x²yz³)³.(xyz)²
In order to differentiate between objects, one must first recognise their distinctions.
What does the term "difference" mean?In order to differentiate between objects, one must first recognise their distinctions. The difference between the chocolate sauce and the spicy bean dip, for instance, could be difficult to see if the party lighting is low. It is possible to distinguish between various.
To distinguish between objects being compared, to demonstrate, or to discover: On the basis of colour, religion, or country of origin, we do not make distinctions amongst our personnel. The majority of customers can easily distinguish between the cereal from our brand and that of our main rival.
-(x²yz³)³.(xyz)²+z = (xy²z)². x²yz³ + (x²yz³)³.(xyz)².
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The derivative of the expression, x²yz³ + (x²yz³)³ with respect to z = (xy²z)² is:
d/dz (x²yz³ + (x²yz³)³) = d/dz (x²yz³) + d/dz ((x²yz³)³)
= 3x²y²z³ + 2x³yz⁴ + 3 * (x²yz³)² * (3x²y²z³ + 2x³yz⁴)
How to find derivative?The derivative of the first term, x²yz³, with respect to z = (xy²z)² can be found using the chain rule:
d/dz (x²yz³) = d/dy (x²yz³) * dy/dz + d/dx (x²yz³) * dx/dz
= 3x²yz² * yz + 2x¹yz³ * xy²z
= 3x²y²z³ + 2x³yz⁴
The derivative of the second term, (x²yz³)³, with respect to z = (xy²z)² can be found using the chain rule and the power rule:
d/dz ((x²yz³)³) = d/dy (x²yz³)³ * dy/dz + d/dx (x²yz³)³ * dx/dz
= 3 * (x²yz³)² * (3x²yz² * yz + 2x¹yz³ * xy²z)
= 3 * (x²yz³)² * (3x²y²z³ + 2x³yz⁴)
Finally, the derivative of the expression, x²yz³ + (x²yz³)³ with respect to z = (xy²z)² is:
d/dz (x²yz³ + (x²yz³)³) = d/dz (x²yz³) + d/dz ((x²yz³)³)
= 3x²y²z³ + 2x³yz⁴ + 3 * (x²yz³)² * (3x²y²z³ + 2x³yz⁴)
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Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
Football player A has a mass of 87 kg and is running at 7.15 m/sec. Football player B is on path to chop Football Player A. Player B has a mass of 78 kg and is running at 9.2 m/sec. Which player is going to get knocked out?
According to the information, the player which is going to be knocked out is player A because he has less momentum.
How to calculate which player is going to get knocked out?To calculate witch player is going to get knocked out we have to use the following formula:
Momentum formula:
P = mvm: massv: velocitySo, the player which has less momentum will get knocked out. Accoding to this information, we have to replace values and calculate:
Player A
P = 87 * 7.15 P = 622,05Player B
P = 78 * 9.2
P = 717.6
According to the above, the player which will be knocked out is player A, because player B has more momentum.
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5
A squad of 14 players is selected for a mixed football tournament.
The rules state that the ratio of boys to girls per squad must be no greater than 3:2
What is the maximum number of boys that can be selected for the squad?
Answer:
Step-by-step explanation:
The ratio of boys to girls in the squad must be no greater than 3:2. This means that for every 3 boys, there must be at least 2 girls.
Since the total number of players in the squad is 14, we can set up the following equation:
3x + 2y = 14
Where x is the number of boys in the squad, and y is the number of girls in the squad.
To find the maximum number of boys that can be selected for the squad, we need to find the highest possible value of x while still satisfying the equation.
We know that x, the number of boys, is a whole number, so we can start testing values of x by subtracting 2 from both sides and then dividing by 3
x = (14 - 2y)/3
If we start testing values for y and substituting it back into the equation, we'll find that the maximum value for y is 6, and the corresponding value for x is 5.
35 + 26 = 15 = 14
Therefore, the maximum number of boys that can be selected for the squad is 5.
A mother gives birth to a 7-pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.
y =___________________
Answer:
y = 2/3 x + 7
Step-by-step explanation:
At birth represents the beginning of time for the baby. Lets call this month zero. So here are your coordinates.
x = 0 y = 7 ----> at birth
x = 3 y = 9
x = 6 y = 11
x = 9 y = 13
Now we find the slope between each point. Since the common difference of y is 2 and the common difference in x is 3 , the slope will be
slope = y / x = 2 / 3
Therefore, the equation of the line that represents this relationship is
y = (2/3) x + 7
PLS HELP ME
Select ALL!!!!!!! of the inequalities represented by the graph
The inequality that is represented on the given graph is;
y ≥ -2x + c
How to Interpret Inequality Graphs?The general formula for equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, in this question, the coordinate of the y-intercept is (c, 0) and as such, the y-intercept is c.
Ths slope is gotten from two coordinates (2, -3) and (4, -7)
Slope = (-7 - (-3))/(4 - 2)
Slope = -4/2
Slope = -2
Now, the Inequalities that use < or > symbols are plotted with a dashed line to indicate that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to indicate that the line is included in the region.
Also, when we shade above the line, it is greater than and in this case it will be greater than or equal to since the line is a solid line to give the equation; y ≥ -2x + c
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They will invest $30,000 for
10 years in an account that
pays 2.5% annual interest. PLS HELP
The required simple interest would be the amount of $7500 if invest $30,000 for 10 years in an account that pays 2.5%.
We have been given data:
Principal (P) = $30,000
Rate of Interest (R) = 2.5% = 2.5/100 = 0.025
Time (T) = 10 years
⇒ Simple interest = P × R × T
Substitute the value of P, R, and T in the above formula,
⇒ Simple interest = 30,000 × 2.5% × 10
⇒ Simple interest = 30,000 × 2.5/100 × 10
⇒ Simple interest = 30,000 × 0.025 × 10
Apply the multiplication operation, and we get
⇒ Simple interest = $7,500
Therefore, the required simple interest would be the amount of $7500.
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Answer:
Simply interest = $750.00.
Step-by-step explanation:
From the question
Principal = $30,000
Time = 10 years
Rate = 2.5%.
Sample interest = ?
Simple interest is give by the formula
= Principal × Rate ×Time
100
= 30,000 × 2.5 × 10
100
=3000 × 2.5 × 1
Note: hundred use it two zero to cancel one zero of 30,000 and one zero of 10 living 3000 and 1
Simple interest = $750.00
a boat traveled 90 miles each way downstream and back. the tip downstream took 5 hours. the trip back took 15 hours. find the speed of the boat in still water and the speed of the current.
The speed of the boat in still water is 12mikes per hour and the speed of the current is 6milesper hour
What is speed?Speed is defined as, the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
speed = distance /time
speed with downstream = 90/5 = 18miles per hour
speed against down stream = 90/15 = 6 miles per hour
represent the speed of the boat in still water by x and the speed of the downstream by y
therefore x+y = 18 equation 1
x-y = 6 equation 2
subtract equation 2 from 1
2y = 12
y = 12/2 = 6miles/hour
substitute 6 for x in equation 1
x + 6 = 18
x = 18-6 = 12 miles/hour
therefore the speed of the boat with in still water is 12miles per hour and the speed of the current is 6 miles per hour
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Convert 5% to a fraction in lowest terms.
Answer:
Step-by-step explanation:
The 5% can be converted to a least-squares fraction by dividing the numerator by the denominator and simplifying. The 5% can be expressed as:
5/100
The fraction can be simplified by dividing the numerator and denominator by their common factor, which in this case is 5.
5/100 simplified is 1/20
In summary, 5% is equivalent to the fraction 1/20 in least terms.
Answer:
yellow and blue makes green
graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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See the photo below and answer which pairs of rectangles are similar polygons.
Answer:
A and B
Step-by-step explanation:
A: 100/150 = 2/3
B: 72/108 = 2/3
C: 80/132 = 20/33
answer for 10 pionts
Answer:
x = 84
Step-by-step explanation:
x-(27+39)=18
x-(66)=18
x=66+18
x=84
You have two different saving accounts.for A, the interest earned after 18 months is 12.00. For account B, the interest earned after 27 months is 27.00 Which account earned you the most interest in the first year? Explain your answer
Account A earned the most interest in the first year, since it earned 12.00 in 18 months compared to the 27.00 earned by Account B in 27 months.
Which account earned you the most interest in the first year?This means that Account A earned 12.00 in 1 year, while Account B only earned 9.00 in the same time period.The account that earned you the most interest in the first year depends on the interest rate for each individual account.To find out which account earned you the most in the first year, we can use the equation A = P(1+r/n)^nt. In this equation, A stands for the amount of money in the account, P stands for the principal amount, r stands for the interest rate, n stands for the number of times the interest is compounded per year, and t stands for the number of years. For account A, plugging in the numbers given, we get A = P(1+12/18)^18. In this equation, P represents the principal amount in account A after the first year.For account B, plugging in the numbers given, we get A = P(1+27/27)^27. In this equation, P represents the principal amount in account B after the first year. By comparing the two equations, we can determine which account earned you the most interest in the first year.If we compare the two equations, we find that account B earned you more interest than account A in the first year because the interest rate for account B was higher than the interest rate for account A. Therefore, account B earned you the most interest in the first year.To learn more about earning interest at different rates refer to:
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❗️HELP ASAP WILL GIVE BRAINLIEST ❗️
How many solutions does the system of linear equations represented in the graph have?
-5 -4
♡
-2
One solution at (-2, 0)
No solution
One solution at (0, -2)
O Infinitely many solutions
S
2
1
-1 0
-1
1₂
?
7
-5
1
2 3
4
Answer:
Infinitely many solutions
Step-by-step explanation:
Davis has $5.40 in his bank account on his fourth birthday. If his parents add $0.40 to his bank account every week, when will he have enough to buy the new Smokin' Derby race car set which retails for $24.99
Answer:
49 weeks
Step-by-step explanation:
y = mx + b
y is the total amount saved
x is the number of weeks
24.99 = .4x + 5.40 Solve for the number of months Subtract 5.40 from both sides
24.99 - 5.40 = .4x + 5.40 -5.40
19.59 = .4x Divide both sides by .4
[tex]\frac{15.99}{.4}[/tex] = [tex]\frac{.4x}{.4}[/tex]
48.975 = x
We cannot have 48.975 week, so at 49 weeks Davis will have enough money.
Answer:
49
Step-by-step explanation:
Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
[tex]\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}[/tex]
How does an angle complementary to acuate angle A compare with an angle supplementary to angle A?
The angle complementary to an acute angle A is always acute and smaller than 90 degrees, while the angle supplementary to angle A is always larger than 90 degrees, they cannot be equal since they are adding up to 90 degrees and 180 degrees respectively.
What is Complementary AngleA complementary angle is a pair of angles that add up to 90 degrees. Two angles are said to be complementary if the sum of their measures is 90 degrees. The two angles are called complementary angles because they "complete" a right angle.
An angle is considered acute if it measures less than 90 degrees. A complementary angle is an angle that, when added to another angle, will sum up to 90 degrees. So, if angle A is acute, then its complement angle will also be acute.
On the other hand, an angle supplementary to angle A is an angle that, when added to angle A, will sum up to 180 degrees.
So, an angle complementary to an acute angle A is always acute and smaller than 90 degrees, while an angle supplementary to angle A will always be larger than 90 degrees. They can't be equal since they are adding up to 90 degrees and 180 degrees respectively.
For example, if angle A measures 60 degrees, its complementary angle will measure 30 degrees (90 - 60 = 30) and its supplementary angle will measure 120 degrees (180 - 60 = 120).
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Suppose a parabola has an axis of symmetry at x = 6, a maximum height of 6 and also passes through the point (7, 5). Write the equation of the parabola in vertex form.
The equation of the parabola, in vertex-form, is given as follows:
y = -(x - 6)² + 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:
y = a(x - h)² + k
In which the parameters of the equation are given as follows:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The axis of symmetry is at x = 6, hence:
h = 6.
The maximum height if of 6, hence:
k = 6.
Thus:
y = a(x - 6)² + 6.
The parabola passes through the point (7,5), meaning that when x = 7, y = 5, and thus the leading coefficient a is obtained as follows:
5 = a(7 - 6)² + 6.
a = -1.
Hence the parabola is defined as follows:
y = -(x - 6)² + 6.
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The distance between the centres of two villages is 8 km.
A map on which they are shown has a scale of 1:50000.
Calculate the distance between the centres of the two villages on the map. Give your answer in centimetres.
The distance between the centres of the two villages on the map is 16cm. The solution is obtained using the concept of unit conversion.
What is unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles. Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.
Now, we are given the scale of a map as 1 : 50000 and that two villages are 8km apart on the map.
The scale of a map is given as 1 : 50000.
=> 1 cm on map = 50,000 cm on actual
We know that 1 km = 1,00,000cm
So,
=> 8km = 8,00,000 cm
So, The distance on the map is
800000 / 50000
= 80/5
= 16 cm
Hence, the actual distance between them is 16cm.
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Nine times the difference of 5 and y
Answer:
9(5 - y)
Step-by-step explanation:
9(?) → Nine times(? - ?) → the differenceNine times the difference of → 9(? - ?)The difference of 5 and y → (5 - y)Nine times the difference of 5 and y → 9(5 - y)- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Required answer:
9(5 - y)
Detailed explanation:
If we have the difference of two numbers, then we're subtracting these numbers. In this case, the numbers are 5 and y:
[tex]\sf{5-y}[/tex]
Next, we multiply 9 times the difference, so we put 5 - y in parentheses:
[tex]\sf{9(5-y)}[/tex]
[tex]\hrulefill[/tex]
Have a wonderful day!
Find LQ in parallelogram LMNQ.
LQ= ?
explain your reasonings
Answer:
lq= 8
Step-by-step explanation:
because MN is 8 units, lq must also be 8 units.
