Triangle DEF is similar to triangle ABC.


What is the measure, in degrees, of ∠F? Explain how you know.

28 is the product of all three numbers .

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. The multiplied value before the variable is the coefficient.

3rd = x

2 nd = 7x

1 st = 4(x + 7x ) = 32x.

x + 7x + 32x = 20

x = 1/2.

we are looking for product = x*7x*32x = 1/2 * 7 * 1/2 * 32*1/2 = 1/2 * 1/2 * 1/2 * 32 * 7 = 28.

28 is the product of all three numbers

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Answer:

No because the determinant of A is 0 .

Step-by-step explanation:

A starts the a -85 so n32 -24 = A- because 540i.7 is a so 0 so a is 0

Answer:

Step-by-step explanation:

Let the number of refills be x.

Then the Silver Cup will cost:

The cost of the Gold Cup is $25.

If we need the Gold Cup a better value, then required inequality is:

Solve it for x:

Answer:

Inequality = 10 + 0.25x < 25

The value of x = x < 60

Step-by-step explanation:

Now we have to,

→ find inequality used to solve for x.

Then the inequality will be,

→ $10 + 0.25x < $25

→ 10 + 0.25x < 25

Required value of x will be,

→ 10 + 0.25x < 25

→ 0.25x < 25 - 10

→ x < 15/0.25

→ [ x < 60 ]

Hence, the value of x < 60.

Answer:

the first equation

Step-by-step explanation:

The 6 is the same amount no matter the weight of the dog.  .5x represents 50 for each pound.

If a dog weight 20 pounds, it would cost 6 + .5(20)  

If a dog weight 30 points it would cost 6 + .5(30) and so on.

The value of x is 1.94 units approximately.

Since the triangle is equilateral and each side is [tex]\sqrt{10}[/tex].

we know that, in equilateral triangle base is bisected by the perpendicular drawn from the opposite vertex.

So here for one small triangle by Pythagoras theorem,

[tex]x^2+(\frac{\sqrt{10}}{2})^2=(\sqrt{10})^2\\x^2+\frac{10}{4}=10\\x^2=10-\frac{10}{4}=\frac{30}{4}=\frac{15}{2}\\x=\frac{\sqrt{15}}{2}\approx1.94[/tex]

Hence the value of x is 1.94 units approximately.

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The equivalent value to the expression 18.9 x [(2 x 2.7) - 4.6] - 2² is given by the following option:

C. 11.12.

The equivalent value to an expression is given by the solution to the expression.

The expression in this problem is given as follows:

18.9 x [(2 x 2.7) - 4.6] - 2²

The brackets take precedence, hence the first operation to be solved is of:

(2 x 2.7) - 4.6

The parenthesis take precedence relative to the subtraction, hence:

(2 x 2.7) - 4.6 = 5.4 - 4.6 = 0.8.

Then the expression is given by:

18.9 x [(2 x 2.7) - 4.6] - 2² = 18.9 x 0.8 - 2².

The square takes precedence, hence:

18.9 x 0.8 - 4.

Then the multiplication takes precedence, which means that the equivalent result is of:

18.9 x 0.8 - 4 = 15.12 - 4 = 11.12.

Given by option C.

The problem is given by the image shown at the end of the answer.

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Points C and D are 13.82 meters apart.

What is the point in math?

Given : Flag AB, with point B , C ,D lying on ground.

BD = 24 m . AB = 42 m

To find; CD

In triangle ABD, with angle of elevation from D to top of flag pole is 48 degrees.

   Tanθ = perpendicular/base

     tan 48° = AB/BD

     1.1106 = 42/BD

      BD= 42/1.1106  = 37.82 m

From the figure:

BD = BC + CD

37.82 m = 24 m + CD

CD = 37.82 m - 24 m = 13.82 m

Points C and D are 13.82 meters apart.

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The measure of angle P as well as angle Q is 76.825. Hence, option D is correct.

When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.

Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.

As per the given data from the question,

Angle P and Q are congruent and,

Angle, ∠R = 26.35°

Suppose ∠P = a

The sum of all the three angles of a triangle is 180°.

x + x + 26.35° = 180°

2x = 180° - 26.35°

x = 76.825°.

Therefore, ∠P will be equal to 76.825°.

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Answer: -2.00

Step-by-step explanation:

The parent function for linear functions is y=mx +b.

First, find the slope using the slope formula (y2-y1)/(x2-x1)

(30-10)/(8-3) = 20/5 = 4

Now, plug in known values to solve for "b", which is the y-intercept:

10 = 4(3) + b

10 = 12 + b

10 - 12 = b

-2 = b

The graphed function's rate of change is the same, however

a lesser base line.

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and do well in mathematics. They must also be able to understand and write expressions.

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By the equations, he should make 70 whole wheat bread that would earn a profit of $105 that is maximum he can earn with the given amount of flour and egg.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution. A group of two or more equations that share the same variables is known as a system of equations. A set of values for a variable that simultaneously satisfy each equation is the solution to a system of equations. When there are multiple unknowns and there is sufficient data to set up equations in those unknowns, systems of equations are used to solve applications. In general, we need sufficient information to construct equations in the n unknowns.

Here,

Let x be light whole wheat and y be the regular whole wheat.

given,

A loaf of light whole wheat bread requires 2 cups of flour and 1 egg.

A loaf of regular whole wheat bread requires 3 cups of flour and 2 eggs.

The bakery has 90 cups of flour and 80 eggs on hand.

So the system of equation will be,

2x+3y=90

x+2y=80

multiply the second equation by 2,

2x+4y=160

2x+3y=90

subtract the equations,

y=70

by this,

x=-60

So by this he should make 70 whole wheat bread that will make him earn a profit of,

=70*1.5

=$105

According to the calculations, he should produce 70 loaves of whole wheat bread for a profit of $105; this is the most he can make with the supplied quantities of flour and egg.

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Option C is correct. Since the digit in the thousands place is 5 or greater than 5.

Given that in option C:

Since the digit in the thousandth place is greater than or equal to 5, increase the digit in the hundredth place by 1. Then drop the digit in the thousandth place.

Also, 213.709 is given in the question in which we have to round off these digits.

The digit which is just after the decimal is called tenths and just after that is hundredths and just after that is called thousandths.

Seeing the value in option C is correct as it tells the value of thousandths is greater than or equal to 5 is correct as 9 is in thousandths place and is greater than 5.

Increasing the value in the hundredth which is zero to one and dropping the digit in the thousandth place is correct as it makes the value 213.71.

All the other options don't satisfy the round of the value 213.709.

Hence, 213.71 can be rounded as per the statement written in option C.

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Answer: It would be 1.7 × 10^2.

Step-by-step explanation:

Sally will get a total of 72 servings for her Thanksgiving dinner.

In this problem we knows that Sally has 36 guests for Thanksgiving dinner, one third of which, that is, 12 guests, brought a dessert and each dessert could serve 6 guests. The total number of servings (r) is equal to the number of desserts (n) and the expected quantity of guests per dessert (q), that is:

r = n · q

r = 12 · 6

r = 72

There are a total of 72 servings.

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A summary measure that is computed to describe a characteristic of an entire population is called a parameter.

Descriptive statistics are those approaches that collect, present, and characterize a set of data in order to accurately describe the different properties of that set of data. A population characteristic can be estimated or a population decision can be made based solely on sample results, according to the definition of inferential statistics.

The totality of the items or things being considered constitutes a population.

The portion of the population that has been chosen for analysis is known as a sample.

A parameter is a summary measure that is computed to describe a characteristic of an entire population.

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According to the given  frequency distribution table the values are as follows:

Frequency of 6 is 3

Frequency of 7 is 4

Frequency of 8 is 4

Frequency of 9 is 3

Frequency of 10 is 2

Statistics is the field concerned with collecting, organizing, analyzing, interpreting and presenting data to draw conclusions by analyzing it.

In Mathematics, statistics is the branch which is  concerned with collecting, analyzing, interpreting, and presenting large amounts of numerical or quantitative data.

It is the number of times a data or figure occurs in a set of given or collected data.

In order to make the provided data more meaningful and understandable, it can be organized using a frequency distribution table. There are two or three columns in a frequency distribution table. All of the results are represented as individual values or as class intervals in the first column.

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Answer:

B 2020 on edge

Step-by-step explanation:

The given observations suggest that the increase in population is directly proportional to the number of children born and the number of surviving children.

According to the question,

We have the following information:

An article in the New York times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children.

It means if the number of children born and the number of surviving children is more then the population will also increase.

In other words, it can be said population is directly proportional.

Hence, the given observations suggest that the increase in the population is directly proportional to the number of children born and the number of surviving children.

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Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.

Given that, Haywood collects 85 signatures each day for a petition.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of signatures Haywood collected in 15 days is

85×15=1275

Since, Haywood said has collected 1,250 signatures in 15 days

So, Haywood is wrong

Therefore, Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.

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An equation to model the situation: h = 30000 - 2000t

the altitude of the plane after 5 minutes is  20000 feet

In this question, an airplane 30,000 feet above the ground.

It begins descending at a rate of 2,000 feet per minute.

We need to write an equation to model the situation. Also, we need to find

the altitude of the plane after 5 minutes.

Let h be the altitude of plane after t hours.

So, we get an equation,

h = 30000 - 2000t

For t = 5 minutes,

h = 30000 - 2000(5)

h = 30000 - 10000

h = 20000 feet

Therefore, an equation to model the situation: h = 30000 - 2000t

the altitude of the plane after 5 minutes is  20000 feet

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Answer:

yes your answer is correct

Answer:

A: y=3x-1

Step-by-step explanation:

we can use slope formula to get the rate of change

y2-y1/x2-1

3-1/1-0

2/1

2 is the rate of change

so A has the rate of change of 3 so it’s the only one with the greater one

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Answer:

x=-21

Step-by-step explanation:

x+5x-7(2+x)=7 so 6x-14-7x=7

-x=21 so x=-21

Answer:

{-4, -3, 2, 4}

Step-by-step explanation:

range are he y values so, find the y values of the points on the graph

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Answer:

25.4 L

Step-by-step explanation:

Charles's Law

[tex]\sf \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\quad \textsf{(when pressure is constant and temperature is in kelvin)}[/tex]

where:

Given:

Convert Celsius to kelvin.

Kelvin = Celsius + 273.15

[tex]\implies \sf T_1= 25 + 273.15 = 298.15 \;K[/tex]

[tex]\implies \sf T_2 = 30 + 273.15 = 303.15\; K[/tex]

Substitute the given values into the formula:

[tex]\implies \sf \dfrac{25}{298.15}=\dfrac{V_2}{303.15}[/tex]

[tex]\implies \sf V_2 =303.15 \cdot \dfrac{25}{298.15}[/tex]

[tex]\implies \sf V_2 =\dfrac{7478.75}{298.15}[/tex]

[tex]\implies \sf V_2 =25.41925205...L[/tex]

Therefore, the volume of air in the tire if the temperature increases to 30.0 °C is 25.4 L (nearest tenth).

The result of the given expression is 2.5.

We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.

E = (45 / 6) % 5

We need to simplify the expression and find its value. First of all, we will solve the brackets.

E = (7.5) % 5

Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.

E = 2.5

Hence, the value of the expression is 2.5.

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Answer:

yes

Step-by-step explanation:

as A increases w increases

The value of x is in the range (-∝,-9)∪(-5,∝)

Given inequalities :

2x + 7 < -11 or -3x -2 < 13

⇒ 2x < -11 -7 or -3x < 13+2

⇒ 2x < -18 or -3x < 15

⇒ x < -9 or -x < 5

⇒ x < -9 or x > -5

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