Which statement best explains whether △PQR is congruent to △XYZ?
△PQR is congruent to △XYZ because △PQR can be mapped to △XYZ by a rotation of 180° about the origin.
△PQR is congruent to △XYZ because △PQR can be mapped to △XYZ by a translation 5 units down followed by a reflection across the y-axis.
△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.
△PQR is congruent to △XYZ because △PQR can be mapped to △XYZ by a reflection across the y-axis followed by a reflection across the x-axis.
Answer:
△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.
Step-by-step explanation:
We can see from the diagram that XYZ is not the same size as PQR. This means there is no series of rigid motions, which preserve segment length, that maps PQR to XYZ.
Answer:
△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.
Step-by-step explanation:
How to get to standard form from slope intercept?
What is 781,407 rounded to the nearest ten thousand What is 781,407 rounded to the nearest ten thousand?
Which of the following is NOT equivalent to the ratio: 12/4 A.6/2 B. 36/12 C.24/16 D.240/80
What does it mean if the determinant of a matrix is 0?
Final answer:
The determinant of a matrix is 0 means the matrix is singular, indicating no unique solution for the corresponding system of equations, or in geometry, that space is compressed to a lower dimension.
Explanation:
When the determinant of a matrix is 0, it signals that the matrix does not have an inverse and is considered singular. In practical terms, this means that the system of equations that corresponds to the matrix does not have a unique solution. For instance, in a square matrix, if the determinant is zero, it may indicate that the rows or columns are linearly dependent, meaning that at least one row or column is a scalar multiple of another, resulting in redundant information. In geometry, if we're dealing with transformation matrices, a determinant of zero implies that the transformation compresses the space into a lower dimension, effectively 'flattening' it, and thus, the original geometrical figure loses its volume.
Jason started a hat-making business. He spent $750 to purchase supplies to get started and he uses about $3.50 worth of supplies per hat made. Jason charges $15 for each hat. Let h represent the number of hats.
What is the minimum number of hats Jason will need to sell to make a profit?
A. 15h>750+3.5h
B. 3.5h≥750+15h
C. 3.5h>750+15h
D. 15h<750+3.5h
n2-14n+49 what’s the answer
50 POINTS!!
Please show all of your work! Thanks.
vertical angles equal each other so you have
angle E = angle F
9x+12 = 3x +24
subtract 12 from each side
9x = 3x +12
subtract 3x from each other
6x =12
divide both sides by 6
x = 12/6 = 2
x = 2
Please help! 20 points!
12/3 = 4
it was dilated with a scale factor of 4
Ronny read for 2.75 hours yesterday. His older brother read for 1.18 hours and his younger brother read for 0.43 hours. How much longer did Ronny read than his two brothers combined? 1.14 hours 1.57 hours 1.61 hours 2.32 hours
The time they read together, is the sum of their individual study time.
Ronny read 1.14 hours longer than her brothers combined
The given parameters are:
[tex]\mathbf{Ronny = 2.75\ hours}[/tex]
[tex]\mathbf{Older\ Brother= 1.18\ hours}[/tex]
[tex]\mathbf{Younger\ Brother= 0.43\ hours}[/tex]
The combined time her brothers studied is:
[tex]\mathbf{Both = Older + Younger}[/tex]
Substitute known values
[tex]\mathbf{Both = 1.18\ hours + 0.43\ hours}[/tex]
Evaluate like terms
[tex]\mathbf{Both = 1.61 \ hours}[/tex]
The time Ronny read longer is calculated as follows:
[tex]\mathbf{Time = Ronny- Both}[/tex]
Substitute known values
[tex]\mathbf{Time = 2.75\ hours - 1.61\ hours}[/tex]
Evaluate like terms
[tex]\mathbf{Time = 1.14\ hours}[/tex]
Hence, Ronny read 1.14 hours longer than her brothers combined
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What is the scale factor use to create this dilation?
Evaluate the expression
-8 X 7 + 33 ÷ (-11)
PLEASE HELP ME ASAP
thanks
Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss it at least two more times to obtain the first head
Final answer:
The probability that at least two more coin tosses are required to get the first head, after ten tails in a row with a balanced coin, is 50%.
Explanation:
The student is asking about the probability of a specific outcome in a sequence of coin tosses. Given that we have already tossed a balanced coin ten times and obtained zero heads, we want to calculate the probability of having to toss the coin at least two more times to get the first head. The probability of getting a head on any given coin toss is 0.5. To get the first head in at least two more tosses means we need a tail (T) on the next toss and then any outcome (H or T) after that. Therefore, we calculate the probability as follows:
The probability of getting a tail on the first toss is 0.5.The probability of getting any outcome on the second toss is 1 (since it can be either head or tail).The combined probability is the product of the two individual probabilities, which is 0.5 * 1 = 0.5 or 50%. Hence, the probability that we must toss the coin at least two more times to obtain the first head is 50%.
solve for y: 7/9y = 42
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers? n; n - 4; 4n n; 4 - n; n + 4 n; n/4; n + 4
Answer:
Numbers: 11, 7 and 44
Expressions: n, n - 4, 4n
Step-by-step explanation:
We have that A + B + C = 62, where A, B and C represent numbers.
We know that the 2nd number (B) is equal to the first number (A), diminished by 4. This means B = A - 4
We also know that the 3rd number (C) is four times the first (A), that is to say 4*A. This means C = 4*A
If we replace this information in the first expression, we have
A + B + C = A + (A - 4) + (4*A) = 62
We change an equation of 3 variables to an equation of just one. Now we solve it putting together the terms that have the variable A:
A + A - 4 + 4*A = 62
2A + 4A - 4 + 4 = 62 + 4
6A = 66
A = 11
Our first number is 11, now we find B and C:
B = A - 4 = 11 - 4 = 7
C = 4A = 4*11 = 44
So, the numbers are 11, 7 and 44
If we change the A for a "n", the expressions that represent the numbers are n, n - 4 and 4n
vector is flying his helicopter at 200 miles per hour. how long has he been flying if he has traveled 1,200 miles? A. 2 hours B. 60 hours C. 6 hours D. 10 hours??? please help
If the difference of two numbers is 7 and their product is 60, what are they?
A graphic designer charges an hourly rate. In July, the only expense is for advertising. The function graphed models the designer's net income, y, for July for x hours of work.
Select True or False to describe each statement.
The x-intercept represents the amount the designer charges for 1 h of work.
The difference between 0 and the y-intercept represents the amount the designer spent on advertising.
The slope represents the designer's hourly rate.
write a word phrase for each algebraic expression
1. 100 - 5n
2. 25r + 6
BRAINLIESTTTTTTTTTTT!!
1. For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?
2x + y = 8
−x − 3y = −12
3y + 12
−3y + 12
3y − 12
−3y − 12
2. please check my answer for the picture question
What is the multiplicative inverse of 23/47?
On what interval(s) is the graph decreasing? - use interval notation
On what interval(s) is the graph decreasing? - use interval notation
Identify any local maximums values and minimum values. - Algebra 2
The three angles of a triangle are in the ratio 3:3:4. What information can you give about the triangle?
A line goes through the point (6,–2) and has a slope of –3.
What is the value of a if the point (a,7) lies on the line?
The value of a in the point (a, 7) is 3
The slope intercept equation is as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
Let's find b using (6, -2)
m = -3
y = -3x + b
-2 = -3(6) + b
-2 = -18 + b
b = -2 + 18
b = 16
Therefore,
y = -3x + 16
let's find the value of a in (a, 7)
7 = -3x + 16
7 - 16 = -3x
-9 = -3x
x = -9 / -3
x = 3
Therefore,
a = 3
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what number would you add to both sides of x^2-20x=5 to complete the square
Translate this sentence into an equation.
The sum of 14 and holly's age is 55.
Use the variable h to represent holly's age.
Final answer:
The sentence 'The sum of 14 and Holly's age is 55' can be translated into the equation 14 + h = 55, where h represents Holly's age.
Explanation:
To translate the sentence into an equation, we identify the mathematical operations described by the sentence. The sentence 'The sum of 14 and Holly's age is 55' indicates an addition operation involving Holly's age and the number 14. Using the variable h for Holly's age, we form the equation 14 + h = 55. This is a simple linear equation where h represents an unknown value that can be solved for.
How do you find the median of these numbers $17.49, $11.29, $16.89, $11.79?
Please help! Identify the minimum value of the function y=3x^2-12x+10.
A) -2
B) 46
C) 10
D) 2
The minimum value of the function y=3x^2-12x+10 is found using the vertex form, and it is -2. This value corresponds to the y-coordinate of the vertex of the parabola.
To find the minimum value of the function y=3x^2-12x+10, we can use the vertex form of a quadratic equation, or complete the square method. We also know that a quadratic function with a positive coefficient for the x^2 term opens upwards and has a minimum value at its vertex. To get the vertex form, we complete the square:
y = 3(x^2 - 4x) + 10
y = 3(x^2 - 4x + 4 - 4) + 10
y = 3((x-2)^2 - 4) + 10
y = 3(x-2)^2 -12 + 10
y = 3(x-2)^2 - 2
Now, the vertex of this parabola is at (2, -2). As this is the vertex of a parabola that opens upwards, the y-coordinate of this point gives us the minimum value of the function, which is -2.
I want to know the answer of this question
In a certain school,course grade range from 0 to 100. Adriana took 4 courses and her average course grade was 90. Roberto took 5 courses. If both students have the same sum of course grade, what was Roberto's
average
The total sum of Adriana’s grades are:
sum of grades = 4 * 90
sum of grades = 360
If Adriana and Roberto has similar total sum, therefore the average of Roberto’s grades is:
Roberto average = 360 / 5 = 72
Answer:
72