Please help:
the congruence statements ∆ABC ≅ ∆DEF, ∆ABC ≅ ∆EFD and ∆ABC ≅ ∆FDE all are valid. what must be true about ∆ABC and ∆DEF​

Answer: $309.51

Step-by-step explanation:

100% - 43% = 57%

543 times 0.57 = $309.51

He has a total of $90 in his cafeteria wallet, thus the most lunches he may purchase is 20.

What is division?

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

Amount added=$50

Amount already in wallet=$40

Total amount in wallet=50+40

=$90

Cost of each lunch=$4.5

Number of lunch he can buy,

=90/4.5

=20

The maximum number of lunch he can buy is 20 lunch as he has a total of $90 in his cafeteria wallet.

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Answer:

It is a LINEAR FUNCTION with the form Y = mX + B where m is the slope

Step-by-step explanation:

Answer:

Slope-intercept form

Step-by-step explanation:

Given equation,

→ y = 5x - 4

Now it is in the form of,

→ y = 5x - 4

→ y = mx + b

(Slope-intercept form)

It is Slope-intercept form.

Answer:

she would have at least rs 11

Step-by-step explanation:

since each pen cost rs 3.50 she will probably have

3.50 × 3

= rs 10.5

approximately rs 11

Step-by-step explanation:

then we do the multiplications and compare :

(x - p)² = q

x² - 2px + p² = q

x² - 2px + p² - q = 0

our target is

x² + 4x - 20 = -8

x² + 4x - 12 = 0

now we compare the variable expression with the target.

x² = x² check

4x = -2px

4 = -2p

p = -2

-12 = p² - q = 4 - q

-16 = -q

q = 16

so, we have

(x - -2)² = 16

(x + 2)² = 16

Answer

l-a

ll-d

lll-c

lV-b

don't think it is completely right but I tried

Answer: 4x+6

Step-by-step explanation:

We know that the growth rate is 4 inches every month, so let x represent the number of months, so we have 4x.

We know that it was originally 6 inches, so we have +6

So the equation is 4x+6

If you can, please give me a Brainliest, I only need 2 more to become an Ace, thank you!

If a quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6), the vertex of the function defined as g(x) = f(x +2) - 2 is (2, 4).

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Geometry, the function g(x) = f(x + 2) - 2 simply means shifting a graph of the parent function by 2 units to the left and 2 units down.

In this context, we can reasonably infer and logically deduce that the vertex of the image g(x) is given by;

Vertex = (4 - 2, 6 - 2)

Vertex = (2, 4).

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It is growing exponentially so this is non linear function of squares of given negative numbers.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.

Here,

0²=0

-1²=1

-2²=4

-3²=9

Hence, It is a nonlinear function of the squares of the given negative numbers because it is growing exponentially.

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Answer:

2 hours and 55 minutes

Step-by-step explanation:

1/5+1/7-=1/x

12/35=1/x

cross multiply

12x=35

35/12=2 hr 55 mins

Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value's original equation.

Divide f(x) by x-1 , we get

k-27=R

Divide f(x) by x-2, we get

2k-44=4R

substitute value of R in second equation and solve, we get

k=32

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Answer:

[tex]f=-29[/tex]

Step-by-step explanation:

Multiply both sides by 29.

[tex]-1*29\leq \frac{f}{29}*29[/tex]

Simplify the left side by multiplying −1 by 29.

[tex]-29\leq \frac{f}{29}*29[/tex]

Simplify the right side by canceling the common factor of 29.

[tex]-29\leq f[/tex]

Rewrite so f is on the left side of the inequality.

[tex]f\geq -29[/tex]

Answer:

  {-2, -1, 3}

Step-by-step explanation:

You want the zeros of F(x)=x^3-7x-6.

The signs of the coefficients in order of decreasing degree are +--. There is one sign change, so there is one positive real root.

The rational root theorem tells you any real roots will be divisors of the constant, 6. Hence, we only need to try ±1, ±2, ±3.

The sum of coefficients is 1-7-6 = -12, so x=1 is not a solution. The positive solution is greater than +1.

The sum of coefficients of odd-degree terms is (1 -7) = -6, equal to the sum of coefficients of even-degree terms (0 -6) = -6, so -1 is a root.

The attachment shows F(x) divided by the corresponding factor (x+1) using synthetic division. The quotient is (x² -x -6), so we know the factorization is ...

  F(x) = (x +1)(x² -x -6) = (x +1)(x -3)(x +2)

The zero product rule tells us the roots are ...

  x = {-2, -1, 3}

The graph of the function tells us the same thing.

__

Additional comment

The constants in the binomial factors of x² -x -6 will be factors of the constant term, -6, that sum to the linear term coefficient, -1. These are -3 and +2.

We like a graphing calculator for finding roots of a cubic and higher-degree polynomials. It will show only the real roots, so more steps are required for complex roots.

You'll need 16 parts of milk and sugar.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

Hence, You'll need 16 parts of milk and sugar.

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Answer:

-10x + 15y - 30z + 50

Step-by-step explanation:

apply the distributive property

-10x + 15y - 30z + 50

The conversion of the units is 7 1/2 cup is 112.5 tbsp

From the question, we have the following parameters that can be used in our computation:

convert 7 1/2 cup to tbsp

This can be represented using the following equation

7 1/2 cup = x tbsp

Express as decimal

x tbsp = 7.5 cups

1 cup = 16 tablespoons

So, we have the following representation

x tbsp = 7.5 * 15 tablespoons

Evaluate

x tbsp = 112.5 tablespoons

Hence, the conversion is 112.5 tablespoons

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The value of the expression divide negative 3 and one-sixth ÷ negative 8 and two-fifths is 95 over 252. Option B

A fraction can be defined as the part of a whole item, number or element.

The several types of fractions are;

From the information given, we have that;

-3 1/ 6 ÷ - 8 2/ 5

Turn into improper fractions

-19/ 6 ÷ 42/ 5

Take the inverse of the divisor and multiply

- 19/ 6 × 5/ 42

95/252

Hence, the value is 95/252

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Answer:

Step-by-step explanation:

y= 2x+36

x=36

Answer:

30 tickets

Step-by-step explanation:

A plane ticket cost $30 per ticket max ended up having to spend $900 how many tickets did he buy ?

900/30 = 30 tickets

The common factor, in this case, is a, so the GCF is still a.

What is the greatest common factor (GCF)?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

To find the greatest common factor (GCF) of two or more terms, we need to factor each term and then identify the factors that are common to both terms.

In this case, we have the terms 3a and 5a. To find the GCF, we can factor each term as follows:

3a = 3a

5a = 5a

The only common factor between the two terms is a, so the GCF of 3a and 5a is a.

Alternatively, we could have written the terms as:

3a = 3 * a

5a = 5 * a

Hence, The common factor, in this case, is a, so the GCF is still a.

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The formula for the given condition will be x=14t, where x is the number of books that Tea has and t is the number of books that Joseph has.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Here,

let x be number of books tea have be x,

Joseph has 14 books.

Tea have t times the book joseph have,

x=14t

The expression for the given condition will be x=14t where Tea have t times the book joseph have and x be number of books tea have.

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Answer:

The answer is 70

Step-by-step explanation:

180-40=140

140/2=70

70+70=140

140+40=180

180= the measure of the whole triangle

PS: Hope this helps:)

Answer:

2,802

Hope this helps :)

Step-by-step explanation:

1. Multiply the numbers.

467

× 6

2,802

2. Check.

2,802 ÷ 6 = 467 ✓

Sorting is the process of grouping individuals into sets of two according to how well they do on a certain measure, then randomly assigning one participant from each set to each of the experimental groups. The right response in this case is option D.

Any systematic arrangement process is called sorting, and there are two similar but different definitions of sorting: Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Sorting is the process of placing data in ascending or descending order based on a linear connection between the data pieces. Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Complete question:

When participants are sorted from lowest to highest on a variable, grouped into sets of two, and then one person from each set is assigned at random to each of the experimental groups, this is called

A.)random assignment

B.)matching

C.)biased choice

D.)sorting

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Answer:

-3<2-y<-1

Step-by-step explanation:

1/5 1/y and 1/3 y is

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

In linear equation,2 is the number of cases and the number of additional units.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

13 cases of 6 units each = 78

Additional units = 2

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The complete question is -

80 units needed, 6 units per case. What is the number of cases and the number of additional units?