Which pairs of triangles are similar? check all that apply. â–³abc ~ â–³def â–³def ~ â–³ghi â–³ghi ~ â–³abc â–³ghi ~ â–³jkl â–³jkl ~ â–³abc

Time taken to eat all = 549.5 minutes.

What is unitary method?

acc to our question-

Hence,Time taken to eat all = 549.5 minutes.

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Out of 60 donuts there are 36 chocolate-glazed donuts.

What is donuts?

A leavened, fried dough product is known as a doughnut or donut. It is a common sweet snack that can be made at home or bought in bakeries, supermarkets, food stands, and franchised specialty retailers. It is produced in a variety of ways.

Given: Megan bought 60 donuts for study club.

She told the worker at the donut shop that she wanted 60% of the donuts to be chocolate glazed.

Let the total donuts are 60.

And the 60% of 60 are,

60 x 0.6 = 36

Therefore, 36 donuts are chocolate - glazed.

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Answer:

[tex]y = \frac{1}{3} {x}^{3} + 6x - \frac{9}{x} - 4[/tex]

Step-by-step explanation:

explanation shown in picture ^^

The percentage of students expected to pass the course is 66.8%

The given data represents;

In a recent survey in a statistics class, it was determined that only 60% of the students attend class on Fridays. from past data, it was noted that 98% of those who went to class on Fridays passed the course, while only 20% of those who did not go to class on Fridays passed the course.

We need to find the percentage of students who are expected to pass the course.

Let 'A' be the event of passing,

     'B' be the event of attending on Fridays.

P (A I B) = 0.98 * P (A I B') = 0.2

P (B) = 0.6

Then, P (B') = 1 - 0.6

                  = 0.4

→ P (A ∩ B) = P (A I B) * P (B)

                 = 0.98 * 0.6

                 = 0.588

→ P (A ∩ B') = P (A I B') * P (B)

                  = 0.2 * 0.4

                  = 0.08

∴ P(A) = P (A ∩ B) + P (A ∩ B')

          = 0.588 + 0.08

          = 0.668

Hence, the percentage of students expected to pass the course is 66.8%

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Answer:

a

Step-by-step explanation:

The value of x will be; x = 14,000

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that  the equation 750 +0.05x = 1,100+ 0.025x

Here, we need to solve for x;

750 +0.05x = 1,100+ 0.025x

combine the like terms;

750 - 1,100= -0.05x + 0.025x

-350 = - 0.025x

x = 14,000

Therefore, the solution will be as;

x = 14,000

The value of x will be; x = 14,000

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Answer:

y = 12

Step-by-step explanation:

We'll use the form of an equation of a straight line of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

We are told the slope, m, is -2.

That leads to:  y = -2x + b

y = -2x + b

B, the y-intercept, can be found by using the given point (3,28) in the equation (it falls on the line, so must be a valid solution to the equation.  Use the given x and y in the equation and solve for b:

            y = -2x + b

           28  = -2*(3) + b

           28  = -6 + b

b = 34

The equation is y = -2x + 34

Use this to find y when x = 11:

  y = -2(11) + 34

  y = -22 + 34

  y = 12

y is 12 when x is 11

     See the attached graph.

Answer:

37=18q+1

subtract 1 on both sides

then divide both sides by 18

q=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sf 37=18q+1[/tex]

[tex]\sf 18q+1=37[/tex]

Subtract 1 from both sides:-

[tex]\sf 18q+1-1=37-1[/tex]

Simplify:-

[tex]\sf 18q=36[/tex]

Divide both sides by 18:-

[tex]\sf \cfrac{18q}{18}=\cfrac{36}{18}[/tex]

[tex]\sf q=2[/tex]

_____________________

Hope this helps!

Have a great day!

The value of KM in triangle  ΔKLM is 110.

Similarity of a triangle is the ratio of their corresponding sides or angles which are equal .

In the given triangle ΔHIJ,

HI=13, HJ=25,

And in triangle ΔKLM,

KL=57, KM=?

triangle ΔHIJ is similar to ΔKLM,

By the property of similarity,  HI/HJ=KL/KM

Substitute the values here,

13/25=57/KM

KM=25×57/13

KM=109.6

The value of KM=110.

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The solutions for the given equation is (6, -6). The graph for the given  equation is plotted below.

The given equation is x²-36=0.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

We need to graph the given equation

x²-36=0

⇒ x²=36

⇒ x=±√36

⇒ x=±6

So, solution is (6, -6)

The graph for equation x²-36=0 is given below

The solutions for the given equation is (6, -6). The graph for the given  equation is plotted below.

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The domain of the given function y = 2√(x - 6)

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

This ultimately implies that, a domain is the set of all possible input numerical values or numbers (x-values) to a function and the domain of a graph comprises all the input numerical values which are located on the x-coordinate.

In order to determine the domain of this function, we would equate the x-value to zero and then evaluate as follows:

x - 6 ≥ 0

x ≥ 6

Therefore, the domain of this function in interval notation is [6, ∞] as shown in the graph attached below.

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Complete Question:

What is the domain of the function y = 2√(x - 6)?

0 ≤ x < ∞

6 ≤ x < ∞

By using the concept of straight angle, the value of x obtained is 17°

What is straight angle?

At first it is important to know about angle

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle

Straight angle is the angle whose measure is 180°

Here,

[tex]m\angle 1 =(4x +2)\\m\angle 2 = 110\\[/tex]

[tex]\angle 1 \ and \ \angle 2[/tex] forms a straight angle

[tex]m\angle 1 + m\angle 2 = 180[/tex] [Angle on a straight line]
[tex]4x + 2 + 110 = 180\\4x +112 = 180\\4x =180-112\\4x = 68\\x = \frac{68}{4}\\x = 17[/tex]

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The value of f(8) is 3.

What is logarithm?

The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to obtain a number x is hence the logarithm of a number x to the base b. For instance, since 1000 = 103, log10 of 1000 is 3, or [tex]log_1_0=3[/tex].

Let, [tex]f(x) = log_2(x)[/tex]

We have to find the value of f(8).

Plug x = 8 in the above equation.

[tex]f(8) =log_2(8)[/tex]

Here 8 = 2 x 2 x 2 = 2^3

So, replace 8 with 2^3 in the above equation.

[tex]f(8) = log_2(2^3)[/tex]

Using the log rule: [tex]log_a(a^b) = b[/tex]

Here a = 2, b = 3

So, [tex]log_2(2^3) = 3[/tex]

Hence, f(8) = 3.

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Cost will be $180 and so will be the revenue.

 Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.

Cost: C=72+6s, where s is the number of shirts sold

Revenue: R=10s

Break-even is where they are equal

72 + 6s = 10s

72/4 = s

s = 18 shirt s

Cost will be $180 and so will be the revenue.

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Part 1: The total length of the rectangle; 20 + x (Expression).

Part 2: The total width of the rectangle; 16 + x (Expression).

Part 3: The total area of the pool along with walkway; (20 + x)(16 + x).

The data for the question is given as-

The expressions for the given cases are-

Part 1: The total length of the rectangle;

The total length of the rectangle = 10 + 10 + x

The total length of the rectangle = 20 + x (Expression)

Considering; 10 + 10 > 8 + 8

Part 2: The total width of the rectangle;

The total width of the rectangle = 8 + 8 + x

The total width of the rectangle = 16 + x (Expression)

Part 3: The total area of the pool along with walkway.

Area = length x breadth

Area = (20 + x)(16 + x).

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m= (6- 3)/ (-5 -1)

2x - y + 11= 0

Answer:

It line splits the graph of a quadratic equation into two mirror image, or basically means every point on the parabola on one side of the axis will be a mirror image of the other side of the parabola.

np :d

Step-by-step explanation:

Angel side angle rule (ASA)

Answer:

do the answer is 532 ft.

u should be careful not to count the area of the ceiling and the floor of the room!

Answer:

-------------------------

Perimeter of the room:

Area of the four walls:

In order to a breakpoint or the total cost = total investment company must need to sell 100 grams of links.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's suppose the number of links that are needed to solve for a breakpoint is x.

Cost of x number of links with the rate of $2/gram = 2x

Total cost = total selling

100 + 2x = 3x

3x - 2x = 100

x = $100

Hence "In order to break even point or the total cost = total investment company must need to sell 100 grams of links".

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For a single game, the mean and the standard deviation of the number of hits is given as follows:

For 25 games, the mean and the standard deviation are:

For 50 games, the mean and the standard deviation are:

This shows that as the number of trials increase, the standard error reduces.

The mean is given by the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 0 x 0.1666 + 1 x 0.3275 + 2 x 0.2875 + 3 x 0.1489 + 4 x 0.0382 + 5 x 0.0313 = 1.659 hits.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values, hence:

S(X) = sqrt((0-1.659)² x 0.1666 + (1-1.659)² x 0.3275 + (2-1.659)² x 0.2875 + (3-1.659)² x 0.1489 + (4-1.659)² x 0.0382 + (5-1.659)² x 0.0313) = 1.209.

For the repetition of n experiments, we have that the mean remains constant, while the standard deviation is given as follows:

s = S(X)/sqrt(n).

Meaning that it is divided by the square root of the sample size.

Hence, for 25 games, the standard deviation is:

S(X) = 1.209/sqrt(25) = 0.242.

For 50 games, the standard deviation is:

S(X) = 1.209/sqrt(50) = 0.171.

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A block exerts a force of 9 N on the ground.

Calculate the pressure the block exerts on the ground, in N/m², when it is

a) 225N/m^2

b) 600N/m^2

Define pressure.

Force applied per unit area is the definition of pressure. P=FA, where F is the force acting perpendicular to the surface area A, is the formula used to calculate pressure mathematically. Having only magnitude and no directional vector properties, pressure is a scalar quantity. The pascal (Pa), or one newton per square meter (N/m 2), is the industry standard for measuring pressure.

Solution Explained:

Given, Force = 9N

For each part of the question we will use the formula

Pressure = Force / Area           (Since, Force = Pressure X Area)

a) Here, Area = 0.04m^2

So using the formula, we have

P = 9/0.04 = 225N/m^2

b) Here, Area = 0.015m^2

So using the formula, we have

P = 9/0.015 = 600N/m^2

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The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the parallel lines will be equal.

The equations are given below.

5x − 3y = 2             ...1

5x − 3y = 8            ...2

The slope of line 1 is given as,

5x − 3y = 2

y = (5/3)x − 2/3

The slope of line 1 is 5/3.

The slope of line 2 is given as,

5x − 3y = 8

y = (5/3)x − 8/3

The slope of line 2 is 5/3.

The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.

The graph is given below.

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Answer:

[tex] \frac{3}{4 - x} [/tex]

Answer:

SA = 148 cm²

Step-by-step explanation:

the opposite faces of the cuboid are congruent , then

SA = 2(6 × 5) + 2(4 × 5) + 2(6 × 4)

     = 2(30) + 2(20) + 2(24)

     = 60 + 40 + 48

     = 148 cm²

Answer:

36

Step-by-step explanation:

The perimeter of ABCDE is equal to AB + BC + CD + DE + AE.

AB = 10 - 2 = 8 (The x values of A and B are the same, therefore the distance between them is the difference between their y values.)

BC = 7 - 4 = 3 (The y values of B and C are the same, therefore the distance between them is the difference between their x values.)

CD =  [tex]\sqrt{(X_D - X_C)^2 + (Y_D - Y_c)^2} = \sqrt{(15 - 7)^2 + (4 - 10)^2} = \sqrt{8^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]

DE = [tex]\sqrt{(X_E - X_D)^2 + (Y_E - Y_D)^2} = \sqrt{(7 - 15)^2 + (-2 - 4)^2} = \sqrt{(-8)^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]

AE =

[tex]\sqrt{(X_E - X_A)^2 + (Y_E - Y_A)^2} = \sqrt{(7 - 4)^2 + (-2 - 2)^2} = \sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

[tex]\Delta \text{ABCDE} = \text{AB} + \text{BC} + \text{CD} + \text{DE} + \text{AE} = 8 + 3 + 10 + 10 + 5 = 36[/tex]

The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).

Given that:

Enrique predicts that he can make additional money from sales of accessories and services for computer products sold by his store.

The store makes x dollars selling computer products, Enrique predicts the store will make 0.05x dollars ($0.05) from selling accessories.

The following steps can be used in order to determine the equation that represents the predicted amount y:

Step 1 - According to the given data, the store makes x dollars selling computer products.

Step 2 - It is also given that, in January and February of this year, the store made $2,500 from sales of accessories and services.

Step 3 - So, the linear equation that represents the given situation is:

y = 0.05x + 2500

Hence the answer is The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).

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Answer:6, 6, 12

Step-by-step explanation

2 sides must be equal which means 6 and 6 points  are moving towards each other and 12 is the length

The solutions for the equations in each of the questions given are as follows;

It follows from the task content that the solution for all of the given word problems are to be determined.

25. If a number, n, divided by 8 equals 2.5, what is n?

The algebraic representation is; n/8 = 2.5.

Hence, the value of n is; n = 8 × 2.5 = 20.

26. The sum of a number, n, and 6.05 is 12.4. What is n?

The algebraic representation is; n + 6.05 = 12.4.

Hence, the value of n is; n = 12.4 - 6.05 = 6.35.

27. Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?

The algebraic representation is; 36/4 = n.

Hence, Stacy's age, n is; n = 9.

28. One-third of a painting job takes 24 hours. How long will it take to finish the entire job?

The algebraic representation is; n/3 = 24.

Hence, the value of n is; n = 3 × 24 = 72 hours.

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