MATHEMATICS HIGH SCHOOL

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.Polygon ABCD is to create parallelogram A′B′C′D′.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Polygon ABCD is to create parallelogram A″B″C″D″.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Answers

Answer 1

Answer:

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

Given that

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.

According to the question

1. Polygon ABCD is________ to create parallelogram A′B′C′D′.

The quadrilateral ABCD draws the counterclockwise rotation of 270 degrees centered at the origin.

Suppose point A is attached to the arrow in red from the center (0,0). The arrow is now moved 270 counterclockwise. the new position of A marked A'. A' will also be "on" the axis as A was or is "on" the axis.

Rotation of 270 degrees on Coordinate Axes

Centered at origin

(x, y) → (y, -x )

(2, 3) → (3, -2)

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

2. Polygon ABCD is________ to create parallelogram A″B″C″D″.

Rotation of 90 degrees on Coordinate Axes

(3, -2) -> (2, 3)

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

To know more about Rotation click the link given below.

brainly.com/question/3511113

Answer 2

Answer: Parallelogram ABCD is reflected across the x-axis to create parallelogram A'B'C'D'. Parallelogram A'B'C'D' maintains the same distance from the x-axis for all points. Parallelogram ABCD has positive x-values and positive y-values, and parallelogram A'B'C'D' has positive x-values and negative y-values, which also define this transition.

Parallelogram ABCD has positive x-values and positive y-values. Parallelogram A''B''C''D'' has negative x-values and positive y-values. If we look at point B in both parallelograms, point B in ABCD is located at point (2,3), and point B in A''B''C''D'' is located at point (-3, 2). This means that parallelogram A'B'C'D' was rotated about the origin 270 degrees clockwise, or 90 degrees counter-clockwise, due to the flipping of x and y values and the change in the x-value's sign.

Related Questions

Joel opened a checking account. His bank charges him a service fee of $4.95each month. Assume y = total cost of having the account and x = number of months.
Given f(x)=x^2-8 and g(x)=x+1/x, find (g o f)(1)[Hint:(g o f)(-4)=(g(f(-4))]a.)8/7 b.)8 c.)6/7 d.)-8
Can someone help me with question 10?
PLEASE HELP, THIS IS DUE TODAY
What is the standard error of the proportion if 80% of the 1,200 respondents in a yes/no survey answered "no"?

Math Help

Explain when is a rational expression restricted.

Answers

basically, domain is all real numbers that cause an not allowed
some things that aren't allowed are dividing by zero and taking the square root of a number less than zero, restrict all values that make thos things hapen

exapmle

a/b, b can not be zero

(3+x)/(4-x)
x cannot be 4 since that would be dividing by zero

another example
√(x-3)
x cannot be less than 3 because that would make a sqrt of a negative

basiccally restrictions are not allowed becasue we don't understnad what happens when we break them

(2a2 + a + 3) ÷ (a - 1)

Answers

Final answer is: 5a+3/a-1

Answer: 5a+3/a-1

Key: “/“ is a fraction bar
Key: 5a+3 is the numerator
Key: a-1 is the denominator

Hope this helps! <3

Order these numbers from least to greatest. −10.7 , −113 , 10710 , −12011

Answers

When dealing with negative numbers, the higher the number, the less it is. So, the lowest number is -12,011. Then, it would be -113, -10.7, and finally 10,710 because it is the only positive number. The final order is:

-12,011, -113, -10.7, 10,710

Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65. To illustrate the importance of outliers, suppose the 65-year old walks away from the party. Remaining at the party are the five people who are 30 years old, three people that are 32, and one person that is 31.
Determine the mean age and standard deviation, to the nearest tenth, of the people who remain at the party.
A. The mean age of the remaining people at the party is a0
B. The standard deviation is:

Answers

Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old

We need to arrange the ages in order from least to greatest.

30, 30, 30, 30, 30, 31, 32, 32, 32, 65
65 is the outlier.

A.) mean age without the outlier. count of the numbers : 9
5 x 30 = 150
1 x 31 = 31
3 x 32 = 96
total age 277
÷ # of pax 9
mean 30.77 round to the nearest tenth 30.80

b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 = 0.20 ⇒ 0.20² = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 = 1.20 ⇒ 1.20² = 1.44 * 3 pax = 4.32

Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84

Standard deviation is simply the square root of the variance.

Standard deviation = √0.84 = 0.916

0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90

Frank swims laps during swim practice. His coach tells him to swim a certain number of meters (total) each week. Here's a formula for this scenario:n=t/p

t= total number of meters
p= length of a lap (in meters)
n= number of laps frank swims

Rewrite the formula to determine the length of a lap

Answers

n = t/p

t = total number of meters
p = length of a lap (in meters)
n = number of laps frank swims

Determine the length of a lap, p.

n = t/p

1) remove p as a denominator by multiplying both side w/ p.
p*n = p(t/p)
pn = t

2) remove n by dividing both sides with n.
pn / n = t/n

*numerator n and denominator n cancels each other out.

p = t/n

Answer:

$p=(t)/(n)$

Step-by-step explanation:

Factor completely 5a2 + b.Prime

a(5a + b)

b(5a2)

ab(5a + 1)

Answers

$\sf {5a^2+b~is~\boxed{\bf{prime}}}$

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

$\left[\begin{array}{ccc}Prime\end{array}\right]$ is the correct answer.

Other Questions

1. Given two parallel lines cut by a transversal, which sets of angles created are congruent?A. alternate interior anglesB. adjacent anglesC. interior angles on the same side of the transversalD. supplementary angles 2. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 8 and 6?A. complementary anglesB. alternate interior anglesC. corresponding anglesD. vertical angles3. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 3 and 7?A. complementary anglesB. alternate interior anglesC. corresponding anglesD. vertical angles4. Which of the following is a characteristic of corresponding angles formed by two parallel lines and a transversal? (1 point)A. Their measures are equal.B. They are complementary.C. Their measures are different.D. They are supplementary.5. Which of the following is a characteristic of alternate interior angles formed by two parallel lines and a transversal?A. Their measures are different.B. Their are complementary.C. They are always supplementary.D. Their measures are equal.

Angela pays $393 in advance on her account at the athletic club. Each time she uses the club, $5 is deducted from the account. Write and equation in her account after x visits to the club. Find the value remaining in the account after 18 visits.

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Can you guys please help me!!