What additional information could be used to prove that the triangles are congruent using AAS?
Select two options

Given the following quadratic functions

[] y^2 + 12y - 36

[] x^2 + 121

[] x^2 - 6x + 9

[] y^2 - 64

[] 9x^2 - 121

[] 4y^2 + 20y + 25

We need to categorize them as perfect square trinomial, difference of squares, or neither

For the quadratic function y^2 + 12y - 36, 9x^2 - 121, 4y^2 + 20y + 25, and x^2 + 121, they are neither since there are no factors

For the function x^2 - 6x + 9

x^2 - 6x + 9

x^2 - 3x - 3+ 9

x(x-3)-3(x -3)

(x-3)(x-3)

(x-3)^2

This is  a perfect Square Trinomial

For the function y^2 - 64

y^2 - 8^2

(y-8)*(y+8)

This is a difference of squares.

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Step-by-step explanation:

A.C

B.2w + 2(w + 3) = 72

2w + 2w + 6 = 72

4w + 6 = 72

4w = 72 - 6

4w = 66

w = 16.5

The width is 11 feet.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter of rectangle= 72 feet

let the width be x.

So, length = 2x + 3

Now, Perimeter of rectangle = 2 ( l + w)

72 = 2( 2x + 3 + x)

36 = 3x + 3

3x = 33

x = 11

Hence, the width is 11 feet.

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please see analysis

\(\left\{\right.{ \triangle}\ RST\cong { \triangle}\ DE\)F

\((SSS\ Congruence\ Postulate)\)

\(2.\ { \triangle\ CAT\cong { \triangle\ BED\ \left\{\right.Given\left.\ \right\}\)

\(\bar{AT}\cong\bar{ED}\)

\(\overline{AT}=20\)

\(so\ \overline{ED}=20\)

\(DE=3x-7=20\rightarrow\ x=9\)

I hope this helps you:)

Answer:

your answer is right -2/3

Step-by-step explanation:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} \)

The given expression is simplified to obtain as (-2.5x - 2).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is (-5x - 4) ÷ (-3 + 5)

It can be simplified as follows,

(-5x - 4) ÷ (-3 + 5)

= (-5x - 4) ÷ 2

Divide each term of -5x - 4 by 2 as below,

(-5x/2 - 4/2)

= (-2.5x - 2)

Hence, the simplification of the given expression is obtained as (-2.5x - 2).

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Answer:6.50$

Step-by-step explanation:

Based on the given conditions, formulate 3+2 × 1.75

calculate the first two terms 3+3.5

calculate the first two terms 6.5

Answer: 6.5

Answer:

1

Step-by-step explanation:

The length of w is 7.863 cm.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

As, per the Sine law

a/ sin A = b / sin B

So, 7.8 / sin 78 = w / sin 76

7.8 / 0.9702 = w / 0.9781

8.0395 = w / 0.9781

w = 7.863 cm

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Identity properties of addition are known to commutative in nature.

Given A and B, A and B are commutative or possess identity property of addition if;

A+B = B+A

For identity property, the two integers you are summing must include zero. For exmaple, a+0 = 0+a = a

The answer must always give the non-zero integer. Let us use 8 and 0 for example. This two possess the identity property of addition because;

8+0 = 0+8 = 8 (identity property of addition)

Answer:

Step-by-step explanation:

A,B or C, depends on the garden length.

The distance after 79 minutes is 11 miles.

We know that the distance can be modeled with a linear equation like:

y = ax + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know the points (39, 45) and (61, 26.3)

Then we can write:

a = (26.3 - 45)/(61 - 39) = -0.85

So we can write:

y = -0.85*x + b

To find the value of b we can replace the values of one of the points, i will use (39, 45) to get.

45 = -0.85*39 + b

45 + 0.85*39 = b

78.15 = b

So the line is:

y =  -0.85*x + 78.15

The distance after 79 minutes is.

y =  -0.85*79 + 78.15

y = 11

The distance left is 11 miles.

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There is no significance difference in the variation in the listening times for men and women.

In this study conducted by Arbitron Media Research Incorporated, the iPod listening habits of men and women were examined. One aspect of the study focused on the mean listening time for both genders. The objective is to determine if there is a significant difference in the variation of listening times between men and women. To do so, statistical analysis will be conducted using the given data.

To determine if there is a significant difference in the variation of listening times between men and women, we can perform a hypothesis test. Let's denote the mean listening time for men as μ₁, the mean listening time for women as μ₂, the standard deviation for men as σ1, and the standard deviation for women as σ₂.

Null Hypothesis (H₀): There is no difference in the variation of listening times between men and women. In mathematical terms, H₀ : σ₁ = σ₂.

Alternative Hypothesis (H₁): There is a difference in the variation of listening times between men and women. In mathematical terms, H₁ : σ₁ ≠ σ₂.

We will use a significance level of 0.10, which indicates that we are willing to accept a 10% chance of rejecting the null hypothesis when it is true.

To test this hypothesis, we can use the F-test for comparing variances. The F-test compares the ratio of the variances between two independent samples. In this case, the samples are the listening times of men and women. The F-test statistic is calculated as follows:

F = (s₁²) / (s₂²)

where s₁ and s₂ are the sample variances. In this case, the sample variances are the square of the standard deviations provided.

Let's calculate the F-test statistic using the given data:

For men:

Sample size (n₁) = 8

Sample standard deviation (s₁) = 12 minutes/day

Sample variance (s₁²) = (12²) = 144 minutes²/day²

For women:

Sample size (n₂) = 10

Sample standard deviation (s₂) = 16 minutes/day

Sample variance (s₂²) = (16²) = 256 minutes²/day²

Calculating the F-test statistic:

F = (s₁²) / (s₂²) = 144 / 256 ≈ 0.5625

Next, we need to determine the critical value for the F-test statistic at a significance level of 0.10. This critical value can be found in the F-distribution table. Since the sample size is small, we will use the F-distribution table.

With a sample size of 8 for men and 10 for women, the degrees of freedom for the numerator (df₁) is 7 (n₁ - 1) and the degrees of freedom for the denominator (df₂) is 9 (n₂ - 1).

Looking up the critical value from the F-distribution table with df₁ = 7 and df₂ = 9, at a significance level of 0.10, we find the critical value to be approximately 2.76.

Now, we compare the calculated F-test statistic with the critical value. If the calculated F-test statistic is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated F-test statistic (0.5625) is less than the critical value (2.76). Therefore, we fail to reject the null hypothesis. This means that there is no enough evidence to conclude that there is a significant difference in the variation of listening times between men and women at the 0.10 significance level.

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Find the slope of the given line

If we put the line 2x - 5y = 35 into the y = mx + c form, the coefficient of x (m) is the slope.

                           since     2x - 5y = 35

                               ⇒              5y = 2x - 35

                                                   y = ²/₅ x - 7

                  ∴      the slope of the line is ²/₅

Identify the slope of the parallel line

When two lines are parallel, they have the same slope.

              ∴ the slope of the parallel is also ²/₅  

Determine the equation of the parallel line

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line where (x₁ , y₁) is (5,−2) :    

                             y - (-2)  =  ²/₅   (x - 5)

                              y + 2 = ²/₅   (x - 5)

If we were to write the equation in the same form as the line that was given:

                                 since  y + 2 = ²/₅   (x - 5)

                                                  y =  ²/₅  x - 2 - 2

                                      y -  ²/₅  x  = - 4      [multiply through by 5]

                                         5y - 2x = -20

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

4.2 has a greater value

since 4.2 is greater than 3.6

Step-by-step explanation:

Since neither numbers are negative, the absolute value around the numbers do not change the values. So nothing changes and we know 4.2 is greater than 3.6

The value of x is 3√2/2.

A triangle with one angle being a right angle is called a right-angled triangle.

Given a right-angled triangle, with both acute angles equal to 45°

Since, acute angles = 45°

Therefore, both the legs of the triangle are equal.

Applying Pythagoras theorem,

x²+x² = 3²

2x² = 9

x² = 9/2

x = 3/√2

Rationalizing the denominator,

x = 3√2/√2x√2

x = 3√2/2

Hence, The value of x is 3√2/2.

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The resulting graph should look like a downward-sloping straight line because as the market price decreases, the daily total revenue also decreases.

A firm's revenue is the total amount of money it earns from the sale of a product or service. Revenue is determined by multiplying the number of units sold by the price per unit. When the market price of bippitybop is at different levels like $90, $80, $70, $60, $50, $40, $30, and $20, we can calculate the daily total revenue of the firm as follows:

Daily total revenue = market price x quantity sold

The given market prices are: $90, $80, $70, $60, $50, $40, $30, and $20.

Let's assume that the quantity sold is constant and is equal to 2000 bippitybops.Using the given market price and the formula above, we can calculate the daily total revenue for each price level as follows:

When the market price is $90 per bippitybop, the daily total revenue is: $90 x 2000 = $180,000

When the market price is $80 per bippitybop, the daily total revenue is: $80 x 2000 = $160,000

When the market price is $70 per bippitybop, the daily total revenue is: $70 x 2000 = $140,000

When the market price is $60 per bippitybop, the daily total revenue is: $60 x 2000 = $120,000

When the market price is $50 per bippitybop, the daily total revenue is: $50 x 2000 = $100,000

When the market price is $40 per bippitybop, the daily total revenue is: $40 x 2000 = $80,000

When the market price is $30 per bippitybop, the daily total revenue is: $30 x 2000 = $60,000

When the market price is $20 per bippitybop, the daily total revenue is: $20 x 2000 = $40,000

So, the daily total revenue for each of the market prices is $180,000, $160,000, $140,000, $120,000, $100,000, $80,000, $60,000, and $40,000 respectively.Now, we can plot these revenue values using the green point (triangle symbol). We can use a graph paper to plot the points. On the x-axis, we can label the market prices and on the y-axis, we can label the daily total revenue. Then, we can plot the points and connect them using a straight line to show the relationship between the market price and the daily total revenue. The resulting graph should look like a downward-sloping straight line because as the market price decreases, the daily total revenue also decreases.

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1. Statement: True

Inverse: True

Contrapositive: True

Converse: True

2. Statement: True

Inverse: True

Contrapositive: True

Converse: True

3. Statement: True

Inverse: True

Contrapositive: True

Converse: True

(i)

Statement: If the difference x - y is even, then x and y are also even.

Inverse: If x and y are not even, then the difference x - y is not even.

Contrapositive: If x and y are not even, then the difference x - y is not even.

Converse: If x and y are even, then the difference x - y is even.

Statement: If a divides b or a divides c, then a divides bc.

Inverse: If a does not divide b and a does not divide c, then a does not divide bc.

Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.

Converse: If a divides bc, then a divides b or a divides c.

Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.

Inverse: If x^2 < 100 or x < 0, then x < 10.

Contrapositive: If x^2 < 100 or x < 0, then x < 10.

Converse: If x ≥ 10, then x^2 ≥ 100.

(ii)

For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

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Answer:

When solving an inequality:  you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

you can add subtract multiply and divide the quantity to each side

But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed

3 x -8> 29

3 x -8 < 29

Answer:

$113

Step-by-step explanation:

Since he had $13 and now he is $100 in debt:

First, he withdrew $13 to get $0 in his bank account.

He then withdrew $100 to get -$100 in his bank account.

13 + 100 = 113

Answer:

Timmy withdrew $113

Step-by-step explanation:

The following equation represents that situation:

$13 - m = -$100

Adding m to both sides, we get:

$13 = m - $100

Combining like thers, we get m = $113

Timmy withdrew $113

However, in some cases, the default location of the click point may be set by default to the top-left corner of the screen or window, which would correspond to the coordinate (0, 0) in a Cartesian coordinate system.

If no coordinates have been assigned to the cursor, the default location of the click point will depend on the program or application being used. In most cases, the default location will be the center or starting position of the screen or window in which the program is running, which could be any location on the screen. Therefore, none of the options provided is necessarily correct.

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Answer:

K=1/5 or in decimal form 0.2

Step-by-step explanation:

The best measure to determine the variability is mean which is equal to 69.48

We are given the data:

48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86​

The best measure to determine the variability is mean.

Total number of observations = 26

Sum of observations (S) will be:

S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86​

S = 1809

Mean = Sum / total

Mean = 1809 / 26

Mean = 69.58

Therefore, the best measure to determine the variability is mean which is equal to 69.48

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The simplified expression is -(V⁹/W⁶).

How to simplify the expression?

For simplify combine the exponents of V in the numerator and denominator using the quotient rule of exponents which states that

\( \frac{V^(a)}{V^(b)} = V^{(a-b)}\)

.Some more important formulas are

\({x}^{0} = 1 \\ {x}^{1} = x \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ {y}^{a} } = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{a} \times {y}^{a} = {(xy)}^{a}\)

We know,

\( \frac{W^{(a)}}{W^{(b)}} = W^{(a-b)}\)

Thus,

\( \frac{(V^3W^{(-3))}}{(-V^{(-6)}W^3)}\)

\(= \frac{{ (V^{(3-(-6))} W^{(-3-3))}}} { (-1)}\)

\(= -V^9W^{(-6)} \\ = (-1) \frac{V^9}{W^6} \\ = -{V^9}{W^6}\)

Therefore, the simplified expression is -(V⁹/W⁶).

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Answer:

see explanation

Step-by-step explanation:

there is a common ratio between consecutive terms, that is

12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 96 ÷ 48 = 2

this indicates the sequence is geometric

the nth term of a geometric sequence is

f(n) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

here a₁ = 6 and r = 2 , then

f(n) = 6 \((2)^{n-1}\)

Given the subtotal of $55.97, apply taxes as shown below (remember that 6.75%=6.75/100=0.0675)

Now, apply the discount (20%=20/100=0.20)

The answer is approximately $47.8 (taxes first, then discount)

Both statements are false

A scatter plot is a diagram or chart that is used to show the association and the correlation between two variables

From the given plot, we have the following highlights

The above highlights mean that:

Hence, both statements are false

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Answer:

PROOF THAT THIS PERSON IS RIGHT

Answer:

1. D just find all the surface

2.F same here

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed in a mathematical expression. An order of operations worksheet is a practice tool for students to test their understanding of the order of operations, and helps them develop their ability to solve mathematical expressions accurately and consistently.

Order of operations ensures that mathematical expressions are solved consistently and accurately. It typically consists of a series of mathematical expressions that the student must solve, following the order of operations. The order of operations is often remembered by the acronym "PEMDAS", which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). The main purpose of an order of operations worksheet is to help students develop their understanding of the order of operations, so they can solve mathematical expressions accurately and consistently.

It's important to note that the order of operations is a fundamental concept in mathematics and is used in many other areas of mathematics, including algebra and calculus. Therefore, it's crucial that students master the order of operations early on in their mathematical studies. An order of operations worksheet can be a valuable tool for helping students do just that.

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Answer: All values/solutions of P must be greater than 2 to be true to the inequality 10p-8>12

Step-by-step explanation:

When solving inequalities, we treat it like an equation, solving for the variable, in this case, p.

10p - 8 > 12

Lets isolate p

10p - 8 > 12

       +8   +8

10p > 20

/10     /10

p > 2

After solving, we now know that all values of P must be greater than 2.