Find the area of the shaded region

The correct expression to represent the similarity of these two triangles is,

21/35 = x/30.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two triangles are similar if the ratio of their corresponding sides is equal.

Therefore, The correct way to represent the similarity is,

21/35 = x/30.

We can solve for x here,

35x = 21×30.

5x = 3×30.

x = 3×6.

x = 18.

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[tex]-7x < 35[/tex]

Divide both sides by -7:

[tex]\dfrac{-7x}{-7} < \dfrac{35}{-7}[/tex]

Since we are dividing by a negative number, the sign will reverse.

[tex]\fbox{x} > \fbox{-5}[/tex]

The solution to the given inequality is x > -5 which represents a set of all real numbers x that are greater than -5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

-7x < 35

To solve the inequality -7x < 35, we first need to isolate the variable (x) on one side of the inequality.

We will divide both sides of the inequality by -7 (since -7 is being multiplied by x on the left side).

However, when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality symbol. So the inequality becomes:

x > -5

This inequality can be read as "x is greater than -5." It is the solution set of all real numbers x that is greater than -5.

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Really sorry, misunderstood the equation. This is the answer though.

Answer:

24

Step-by-step explanation:

We have our function g(x) = [tex]x^{3}[/tex] - x

Now, we will substitute 3 in for x, giving us:

[tex]3^{3} - 3[/tex]

Now, we will simplify our exponent, giving us:

27 - 3 = 24

So your answer is 24.

Hope this helped!

The difference in ages of Marcelle and Megan is 95/12 as an improper fraction and as a mixed number is 7 whole number and the fraction 11/12.

We shall convert the fractions to have similar denominators and simply apply subtraction for the numerators as follows:

Marcelle's age = 15 whole number, 1/2

Marcelle's age = 31/2

Megan's age = 7 whole number, 7/12

Megan's age = 91/12

LCM of 2 and 12 is 12 so;

Marcelle's age = 31/2 × 12/12

Marcelle's age = 186/12

difference in their age (186 - 91)/12

difference in their age = 95/12

Therefore, the difference in the ages of Marcelle and Megan is the fraction 95/12 or as a mixed number is 7 whole number and the fraction 11/12

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If you solve the equation and get the same number as yourself, there are infinite solutions, and if you get the wrong equation, there is no solution.

You can see that both slopes are the same (-3). This shows that the lines are parallel without creating a graph. Therefore, the system of equations cannot be solved.

What distinguishes infinitely many solutions from zero? If the equation is wrong, the system has no solution. If the equation statement is true, there are infinitely many solutions.

A linear algebra problem is a linear system of n equations with n unknown variables. A system may have one solution, no solution, or an infinite number of solutions.

solution - all linear equations intersect or intersect at some point in space

No Solution - System is inconsistent and not all linear equations intersect or intersect.

Infinitely many solutions - some linear equations are the same line in space, some variables are unbounded.

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Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Area = length x breadth.

Here,

Given : A triangle land which has

height = 2miles

and base = 1.5+ 1.5 = 3 miles

Thus,

To find the area of triangle :

=> Area = 1/2*b*h

=>Area = 3*2/2

=> Area = 3 miles square

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

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Answer:

1,520 pounds

Step-by-step explanation:

40x 38 = 1520

The goal of elimination is to remove one of the variables by combining the equations together.

Let's say we have an equation with 3 variables:

a + b + c = 0

The goal of elimination is to remove one of the variables by combining the equations together.

Multiply the first equation by a number, n, such that nb + nc = 0

For example:

Let n = -2

-2b + -2c = 0

Add the two equations:

a + b + c = 0

-2b + -2c = 0

a - b = 0

Solve for b:

a - b = 0

b = a

Therefore, the final equation is:

a + a + c = 0

2a + c = 0

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Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms include 2, 5, and 8. Some sequences can be made endlessly long by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the series. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it has pieces (also called elements or terms). The total, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more objects in a logical order.

given

Δ DOG AND ΔCAT

According to Chanel, the series of transformations that maps triangle ABC onto triangle DEF is as follows:

Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.

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The upper bound and lower bound of a using the equation will result to

upper bound value 136015.499

lower bound value 136014.500

Evaluating the given expression a = b + 2c

where

b = 15 to 2 significant figures

c = 68 000 to 2 significant figures

solving for a

a = b + 2c

a = 15 + 2(68000)

a = 136015

The bound values

upper bond value is the largest possible vale of a

upper bond value = 136015.499

lower bound value is the lowest possible value of a

lower bound value = 136014.500

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In Python an operator -= is subtracts the value on its right to the variable and assigns the result to the variable on its left.

As we know an operator is nothing but a symbol that represents a mathematical or logical process.

We know that in Python the operator -= provides a way to subtract a value to an existing variable and assign the new value back to the same variable.

If m -= n

This means,  the variable m the left side is getting added to the value on the right side (n), and the result is then reassigned to the variable on the left.

i.e., m = m - n

-= is an assignment operator.

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If Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned. The number of cookies that were left after the bake sale is: 8.

Number of cookies  sold:

Number of cookies  sold = 0.90 × [(1+.25)×64]

Number of cookies  sold = 0.90 × [(1.25)×64]

Number of cookies  sold = 0.90 × 80

Number of cookies  sold = 72

Number of cookies left:

Number of cookies left = 80 - 72

Numbers of cookies left  = 8

Therefore the number of cookies left is 8 cookies.

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Answer:

Yes

Step-by-step explanation:

If there was 200 hundred dollars just subtract 50 dollars if there is still money then yes.

Answer: yes

Step-by-step explanation:

200-50=159

Answer:  A

Step-by-step explanation:  They both go up but they have diffrent patterns

hopes this helps any

Answer:

A.

Step-by-step explanation:

the 'x' slot is going up two and the 'y' slot is going up one every change.

Area of quadrilateral is 24 units and it is known as parallelogram.

A point in the plane is one-to-one connected to an ordered pair of real numbers (x, y) using point plotting. The 2-dimensional Cartesian coordinate system is as a result obtained.

A parallelogram results from plotting the four points.

the lower side is between (-6,-3) and (-2,-3)

0 to 3 is at the top (4,3)

As a result, the base length is 4 because the distance

between (-6,-3) and (-2,-3) = 4

the separation between (0,3) and (4,3)

The sides are the lines that connect (0,3) to (-6,-3)

along with (4,3) to (-2,-3).

Vertical height ranges from -3 to 3 or 6.

The parallelogram's area is given by base*height = 4(6) = 24.

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Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

Answer: 2.4

Step-by-step explanation:

we start from the right most digit, that is 8. Since 8 is greater than 5, we add 1 in the number before 8, that is 3. When we add 3 and 1 we get 4. This way, we get our answer 2.4 , which is correct to 2 significant figures.

hope that helps...

Multiplying the  second equation by -4 eliminates the x terms when adding the first equation.The second equation is 4x + 5y = -8

In order to eliminate the x terms when adding the first equation, you need to multiply the second equation by -4. The formula and calculation steps are as follows:

Formula:

Equation 1 + (-4 x Equation 2)

4x + 5y = -8

-4(4x + 5y) = -4(-8)

-16x -20y = 32

Adding the two equations together gives:

0x + 25y = 24

Therefore, multiplying the second equation by -4 eliminates the x terms when adding the first equation.

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The mean of the walleye 'W' for the given number of walleye and its probability to represent that 30% chances are of walleye is equal to 1.4.

As given in the question,

Let 'W' is the random variable represents the number of walleye.

'P(W)' represents its probability

The values are given as follow:

W      :        0                        1                       2

P(W)  :        0.09                0.42                  0.49

Mean of the walleye 'W' is given by :

= W₁P(W₁) + W₂P(W₂) + W₃P(W₃)

= ( 0 ×  0.09 )  + ( 1 × 0.42 ) + ( 2 × 0.49 )

= 0 + 0.42 + 0.98

= 1.4

Therefore, the mean of the walleye 'W' for the given number of walleye and its probability is given by 1.4.

The above question is incomplete , the complete question is :

Eva loves to go fishing. Each time she catches a fish, there is a 70% chance that it is a northern pike and a 30% chance it is a walleye. Let W be the random variable that represents the number of walleye Eva gets

if she catches 2 fish.

W      :        0                        1                       2

P(W)  :        0.09                0.42                  0.49

Calculate the mean of W.

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Answer:

0.28

Step-by-step explanation:

1% = 0.01

0.01 × 28 = 0.28

Therefore, Becky must combine 25.6 grams of the second ingredient (25 percentage protein) with 2.4 grams of the first ingredient (50 percent protein) to create 28 grams of

A percentage (%) is a number that can alternatively be written as a decimal or fraction and represents a quantity as a proportion of 100. You can change a percentage to a fraction by putting 100 in the numerator and also the percentage number in the numerator.

Here,

Becky will need to blend several substances to obtain the necessary level of protein in order to generate 28 grams of a material that is 30% protein.

Let's name the first ingredient's percentage of protein (50%) "x" and the second ingredient's percentage of protein (25%) "y".

That which we are aware of is

28 grams of the combination are present in total.

It has 30% protein.

50% of the first component is protein.

25% protein makes up the second component.

To express the issue, we can build up the following equations:

x + y = 28 (the total amount of the mixture is 28 grams) (the total amount of the mixture is 28 grams)

(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)

Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:

y = 28 - x

We can substitute this into the second equation:

(0.50)x + (0.25)y = 0.30(28) (28) (30% of the mixture is protein)

We may now solve for one variable in terms of the other using the first equation. If we figure out y, we obtain:

y = 28 - x

This can be used as a substitution in the second equation:

(0.50)x + (0.25)(28-x) = 0.30(28) (28)

which results in:

0.50x + 7 - 0.25x = 8.4

And simplifying even more

0.25x = 0.6

x = 2.4

We now know that 2.4 grams of the combination are made up of the first component, which is 50% protein. Using this knowledge, we can calculate the quantity of the second ingredient:

y=28 - x=28 - 2.4=25.6 grams

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Answer:

right triangle m=5

Step-by-step explanation:

because it has a 90 degree angle

The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.

As given in the question,

Total amount with Phyllis is equal to $10,500

Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate

Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year

Total interest earned by the investment = $352.50

0.035x + 0.03( 10,500 - x ) = $352.50

⇒0.035x + 315 - 0.03x = 352.50

⇒0.005x = 352.50 - 315

⇒0.005x = 37.5

⇒x = $7500

and $( 10,500 - x ) = $( 10,500 - 7500 )

                              = $ 3,000

Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.

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x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

Two or more expressions with an Equal sign is called as Equation.

Given that Mr. Spears was purchasing supplies for his math classroom.

He had $25 to spend.

Mechanical pencils and erasers come in bundles of 10

Let x represents the Mechanical pencils

y represents the erasers

x+y=10

y=10-x

Each eraser costs $0.50

ax+0.50y=25

a is the cost of the each mechanical pencil.

Hence, x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

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The degree of polynomial in 5x³ 4x² 7x is 3, since the highest power of variable is 3.

The degree of polynomials, which determines the maximum number of solutions a function could have and how frequently a function will cross the x-axis on a graph, is one of the key ideas in mathematics. Polynomials are also important because they help us understand how functions can be represented mathematically. In the equation involving polynomials, it has the highest exponential power.

In a polynomial equation, a variable's greatest power is its degree. Only the terms with variables are taken into consideration when calculating a polynomial function's degree. The polynomials degree can be determined by looking at the variable term's highest exponential power.

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Answer:

Step-by-step explanation:

In 12 hours, the train will travel 487.5 miles

8/325=40.625

40.625 x 12 = 487.5

The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is 3 and the y-intercept is 5, the equation of the line is y = 3x + 5.

The equation of a line is a mathematical expression of the form y = mx + b, where m is the slope and b is the y-intercept. This equation can be used to describe the relationship between the x-coordinate and y-coordinate of points on a line. In this specific equation, the slope is 3 and the y-intercept is 5, which means that the line passes through the point (0, 5) and has a slope of 3. Substituting 3 for m and 5 for b in the equation, we get y = 3x + 5, which is the equation of the line with a slope of 3 and a y-intercept of 5. We can use this equation to determine the y-coordinate of any given point on the line, provided we know the x-coordinate of the point. It is important to note that this equation is only applicable to straight lines, and not curves.

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Answer:

it looks like a reflection or translation but my gut is saying translation

The actual length of the car based on the model will be 350 inches.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the ratio of the model car was 2:35. If the model is 20 inches long, the actual length of the car will be:

= 20 ÷ 2/35

= 20 × 35/2

= 350 inches.

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Complete question

The ratio of the model car was 2:35. If the model is 20 inches long. then what would be the actual length of the car??

The numbers in the arrangement can be represented by x, y, z, a, b, c and d, where x is at the top and d is at the bottom. The relationship between the numbers is as follows:

x = y - z

y = a - b

z = c - d

We can use this information to find the values of z, c, and d in terms of x, y, and a:

z = y - x

c = z + d

d = z - c

Since we are looking for the four greatest distinct possible values for z, we can assume that x, y, and a are as small as possible (i.e. 0) and c and d are as large as possible.

Thus, the four greatest distinct possible values for z are:

z = y - x = 0 - 0 = 0

z = a - y = 0 - 0 = 0

z = c - d = c

z = c - d = d

The sum of these four values is 0 + 0 + c + d = c+d.

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