Describe how to map figure J onto
Figure L, complete the statement

Answer:

x = 10.25

Step-by-step explanation:

congruent angles are equal , then

18x - 34 = 10x + 48 ( subtract 10x from both sides )

8x - 34 = 48 ( add 34 to both sides )

8x = 82 ( divide both sides by 8 )

x = 10.25

The measure of angle KYC, considering the concept of vertical angles, is given as follows:

m < KYC = 69º.

Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.

The vertical angles for this problem are given as follows:

<KYC and 69º.

As they are opposite by the vertex at the crossing of the two diagonal segments for this problem.

Hence the measure of angle KYC is given as follows:

m < KYC = 69º.

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If Lindsay he mows the lawn in 10 hours and with his brother Grant he does it in 2 hours, Grant would mow the lawn alone in 2.5 hours.

To find out how long it would take Grant to mow the lawn alone, we can use the formula for combined work:

1/t₁ + 1/t₂ = 1/ttotal

Where t₁ is the time it takes Lindsay to mow the lawn alone, t₂ is the time it takes Grant to mow the lawn alone, and ttotal is the time it takes both of them to mow the lawn together.

Plugging in the given values:

1/10 + 1/t₂ = 1/2

Multiplying both sides by 20t₂ to clear the fractions:

2t₂ + 20 = 10t₂

Rearranging and simplifying:
8t₂ = 20
t₂ = 20/8
t₂ = 2.5

So it would take Grant 2.5 hours to mow the lawn alone.

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The final expression after multiplying each term by the LCD is (A+B+C)x^3 - (4A+3B+4C)x^2 + (12A+3BC)x - 12AC.

To multiply each term by the LCD, we need to first find the LCD of the given expression. The LCD of the expression is the product of the denominators, which is x(x-4)(x-3).

Now, we can multiply each term by the LCD to get rid of the denominators:

A[x(x-4)(x-3)]/(x) * x(x-4)(x-3) = A(x-4)(x-3)

B[x(x-4)(x-3)]/((x-4)) * x(x-4)(x-3) = B(x)(x-3)

C[x(x-4)(x-3)]/((x-3)) * x(x-4)(x-3) = C(x)(x-4)

Now, we can combine the terms to get the final expression:

A(x-4)(x-3) + B(x)(x-3) + C(x)(x-4) = (A+B+C)x^3 - (4A+3B+4C)x^2 + (12A+3BC)x - 12AC

So, the final expression after multiplying each term by the LCD is (A+B+C)x^3 - (4A+3B+4C)x^2 + (12A+3BC)x - 12AC.

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Answer: 12.124355653

Step-by-step explanation: I did the math on a calculator

The area of the circle is 63.62 square meters

To work out the area of a circle, we need to use the formula A = πr^2, where A is the area of the circle, π is a mathematical constant approximately equal to 3.142, and r is the radius of the circle.

In this problem, we are given the diameter of the circle, which is the distance across the circle passing through its center. The radius is half of the diameter, so we can find it by dividing the diameter by 2.

In this case, the diameter is 9 meters, so the radius is 9/2 = 4.5 meters. We then substitute this value into the formula:

A = πr^2

A = 3.142 x (4.5)^2

A = 3.142 x 20.25

A = 63.6175

A ≈ 63.62 square meters

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The given question is incomplete, the complete question is:

Work out the area of the circle where diameter is 9 meter

Take π it to be 3.142 and give your answer to 2 decimal places.

If you put your hand on a hot stove and got burnt, it is a natural response to remove your hand from the stove to prevent further injury. However, if you choose to repeatedly put your hand back on the stove even after being burnt, you will continue to experience pain and potentially cause further damage to your skin and tissues.

Repeatedly exposing yourself to the source of the burn will not change the fact that it is hot and causing damage to your skin. In fact, each time you touch the hot surface, you are likely to make the burn worse, as the heat will continue to damage your skin and tissues.

Additionally, repeated exposure to the hot stove may lead to nerve damage, which can result in a loss of sensation in your hand, making it harder to recognize when you are in danger of burning yourself in the future.

It is important to listen to your body's natural responses to pain and remove yourself from harmful situations. In the case of a burn, it is best to seek immediate medical attention and follow proper first aid procedures to minimize damage and promote healing.

The answer of this question is -4,298,008. We solve this question by taking the LCM of denominators.

The smallest multiple that two or more numbers share is known as the least common multiple. Least Common Multiple short form is LCM.

We can find LCM of these number by taking least common multiple.

LCM of 3, 3, 17, 13 is 663 .

(a) [tex]-\frac{22}{3} *663 = -22*221[/tex]

[tex]= -4862[/tex]

(b) [tex]\frac{4}{3} * 663 = 4 * 221[/tex]

[tex]= 884[/tex]

(c) [tex]\frac{6}{17} *663 = 6 * 17[/tex]

[tex]= 102[/tex]

(d) [tex]\frac{2}{13}*663 = 2*51[/tex]

[tex]=102[/tex]

So, the answer is -4,298,008 .

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According to the Census Bureau, of the people 21 to 64 years old, 12.3% are not high school graduates, 27.8% have graduated high school, 30.6% have some college, 16.9% have a bachelor's degree, and 8.8% have an advanced degree. The words that look like different answers to one question are "not high school graduates," "graduated high school," "some college," "bachelor's degree," and "advanced degree."

These words all describe different levels of education and could be potential answers to a question about a person's education level. The paragraph describes the educational attainment of people between the ages of 21 and 64. The different percentages represent the proportion of individuals in each education category.

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Answer:

-24x^8y^6+32x^2y^5

Step-by-step explanation:

The perimeter of the base is 32 cm.

The area of the base is 48 cm².

The total surface area of the triangular prism is 1184 cm².

The diagram above is a triangular prism. Therefore, let's find the perimeter of the base, area of the base and surface area of the triangular prism.

Hence,

perimeter of the base = 10 + 10 + 12

perimeter of the base = 20 + 12

perimeter of the base = 32 cm

Area of the base = 1 / 2 bh

where

Therefore,

Area of the base = 1 / 2 × 12 × 8

Area of the base = 48 cm²

Hence,

total surface area of the triangular prism = bh + l(s₁ + s₂ + s₃)

total surface area of the triangular prism = 12(8) + 34(10 + 10 + 12)

total surface area of the triangular prism = 96 + 34(32)

total surface area of the triangular prism =96 + 1088

total surface area of the triangular prism = 1184 cm²

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I is convergent.

The Comparison Theorem is an important tool in the study of Probability and Statistics, as it allows us to determine the convergence or divergence of improper integrals without directly evaluating them. In this case, we are asked to determine the convergence or divergence of the improper integral I=∫ 2 [infinity] ​ e −x 2 dx using the Comparison Theorem.

1. To justify the inequality e −2x ≥e −x 2 for all x≥2, we can take the natural logarithm of both sides of the inequality to get -2x ≥ -x^2. Since x≥2, we can divide both sides of the inequality by -x to get 2 ≤ x, which is true for all x≥2. Therefore, the inequality e −2x ≥e −x 2 is true for all x≥2.

2. To evaluate ∫ 2 [infinity] ​ e −2x dx, we can use the substitution u=-2x, du=-2dx. This gives us ∫ 2 [infinity] ​ e −2x dx = ∫ -4 [-infinity] ​ (1/2)e^u du = (1/2)(-e^u)|-4 [-infinity] = (1/2)(-e^-4 + e^[infinity]) = (1/2)(-e^-4 + 0) = (1/2)e^-4.

3. To determine if I is convergent or divergent, we can use the Comparison Theorem. Since e −2x ≥e −x 2 for all x≥2, and ∫ 2 [infinity] ​ e −2x dx is convergent, then ∫ 2 [infinity] ​ e −x 2 dx is also convergent by the Comparison Theorem. Therefore, I is convergent.

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Exponent laws The abbreviated formula is -2x7y.

This leads to another exponent rule called the Power Rule for Exponents. A power of a power can be made simpler by multiplying the exponents while leaving the base fixed. In this instance, (23)5 equals 215. For any positive number x and integers a and b, (xa)b=xa b holds true.

Exponent laws comprise: Rule of the product of powers: Add the powers together when multiplying like bases. Take off the powers when separating like bases according to the quotient of powers rule. Rule of the power of powers: Add all the powers together when raising a power by another exponent.

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Complete question:

Find the Exponent law of the given formula [tex][(-2xyx^2)x^3]x^2[/tex] .

Answer:

We know that cot A = adjacent side / opposite side = 21/20.

Let x be the length of the adjacent side and y be the length of the opposite side.

Using the Pythagorean theorem, we have:

x^2 + y^2 = (20k)^2, where k is some positive constant.

Since angle A is in Quadrant I, x is positive and y is positive. Thus, we can take the square root of both sides to get:

x + y = 20k.

Now, we can use the fact that cot A = adjacent side / opposite side = 21/20 to get:

x/y = 21/20.

Multiplying both sides by y, we get:

x = (21/20)y.

Substituting this into x + y = 20k, we get:

(21/20)y + y = 20k

Simplifying, we get:

(41/20)y = 20k

y = (20k)/(41/20) = (400k)/41

Now, we can use the Pythagorean theorem to find x:

x^2 + y^2 = (20k)^2

(21/20)y^2 + y^2 = (20k)^2

(441/400)y^2 = (20k)^2

y^2 = (400/441)(20k)^2

y = (20k/441)sqrt(441 x 20)

y = (20k/21)sqrt(20)

Therefore, angle A in simplest radical form using a rational denominator is given by:

tan A = y/x = [(20k/21)sqrt(20)] / [(21/20)y] = sqrt(20)/21

A = arctan(sqrt(20)/21)

Answer is: AC= 9[tex]\sqrt{3}[/tex] Units, AB = 18 units.

Triangles have three interior angles that add up to 180 degrees, and they can be classified based on the lengths of their sides and the measures of their angles.

In ΔABC, angle C is right angle,

so the triangle is right angle triangle;

tan30° = BC/AC

[tex]\frac{1}{\sqrt{3} }[/tex] = 9/AC

AC= 9[tex]\sqrt{3}[/tex] Units

and

Sin 30° = BC/AB

1/2 = 9/AB

AB = 18 units

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Answer: yes

Step-by-step explanation:

yes because it is less than or equal to seeing that the dominoes reach the whole room

The graph of the system of inequalities is a circle with center (0,0) and radius of 100 units for the regular version and 2000/21.95 units for the deluxe version.

Inequality in math is a mathematical statement that states two expressions are not equal. It can be written using symbols such as <, >, or ≠. Inequality statements are used to compare values or expressions and to describe ranges of values that satisfy certain conditions.

The salesperson must sell at least 100 units of either the regular or deluxe version and their total sales must be at least $2000 in order to receive the bonus.

The company offers a bonus to salespeople who can meet certain sales goals. This encourages salespeople to be more motivated to sell the product and to increase their overall sales. It also helps the company increase their profits by providing incentives for salespeople to increase their sales. By offering the bonus, the company is able to attract more salespeople who are willing to work hard and reach their sales goals in order to receive the bonus. This allows the company to increase their market share and their profits.

The bonus also helps to retain existing salespeople who might otherwise be tempted to leave the company. By offering the bonus, the company is able to reward loyal salespeople who have consistently performed well and have contributed to the company's success. This helps the company to maintain a stable and productive sales team, which is beneficial for the company's long-term success.

Overall, offering a bonus to salespeople who meet certain sales goals is a beneficial strategy for the company. It encourages salespeople to be more motivated and increase their sales, while also helping the company to attract and retain quality salespeople. This helps the company to grow and increase their profits in the long run.

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The velocity of the bird is approximately 40.04 km/hour.

What is velocity ?

Velocity is a measure of the rate at which an object changes its position in a particular direction. It is a vector quantity, which means that it has both a magnitude (speed) and a direction.

To find the velocity of the bird, we can use the formula:

velocity = distance/time

Given that the bird flies 961 km in 24 hours, we can substitute these values into the formula:\

velocity = 961 km / 24 hours

Simplifying this expression, we get:

velocity = 40.04 km/hour (rounded to two decimal places)

Therefore, the velocity of the bird is approximately 40.04 km/hour.

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The option that best describes the value 1.5 in the linear equation; u = 0.75·t + 1.5 is option D

D. y-intercept and the initial amount of rain, in inches at midnight

A linear equation is an equation of the form; y = m·x + c, where, m is the slope, and c is the y-intercept of the graph of the equation.

The time at which the analysis of the rainstorm by the meteorologist starts = 10 p. m.

The linear model for the accumulation of rain is; u = 0.75·t + 1.5

The number of hours, t after midnight where; t > 0

The model for the accumulation of rain, indicates that the coefficient of t, which is 0.75 is the rate at which the rain accumulates in inches per hour, therefore, the rain accumulates at a rate of 0.75 inches per hour

The constant term in the linear equation, u = 0.75·t + 1.5, which is the constant, 1.5, is the y-intercept of the graph of the equation.

The y-intercept is the value of the equation, when the input value, the time, t = 0, which is the time at midnight

The 1.5 therefore, indicates that the y-intercept, and the level of the accumulated rain at midnight, when the time, t = 0, which is the initial amount of rain at midnight is 1.5 inches.

The correct option is therefore;

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The distribution of Sn + Tm is a binomial distribution with parameters (n+m, p).

This can be proved using the fact that the sum of independent binomial random variables follows a binomial distribution with the sum of the number of trials and the same probability of success.



Let X ~ Binomial(n, p) and Y ~ Binomial(m, p) be independent random variables representing the number of heads in the first n coin tosses and the last m coin tosses, respectively.

Then, the sum of X and Y, Z = X + Y, follows a binomial distribution with parameters (n+m, p).

The probability mass function of Z can be written as:

P(Z = k) = P(X + Y = k) = ∑ P(X = i) * P(Y = k-i) for i = 0 to k

Since X and Y are independent, we can write:

P(Z = k) = ∑ P(X = i) * P(Y = k-i) = ∑ (n choose i) * p^i * (1-p)^(n-i) * (m choose k-i) * p^(k-i) * (1-p)^(m-k+i)

Simplifying the above equation, we get:

P(Z = k) = (n+m choose k) * p^k * (1-p)^(n+m-k)

Therefore, Z ~ Binomial(n+m, p).

As a result, the distribution of Sn + Tm has the parameters (n+m, p) of a binomial distribution.

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The simplified expression is 45°, which is closest to option a. 38°.

Lines are one-dimensional geometrical objects that extend infinitely in both directions. Angles are formed when two lines intersect, and they measure the amount of rotation between the lines.

We can use the formula:

arctan(x) + arctan(y) = arctan[(x + y) / (1 - xy)]

to simplify the expression.

Setting x = 1/3 and y = 2/3, we have:

arctan(1/3) + arctan(2/3) = arctan[(1/3) + (2/3) / (1 - (1/3)(2/3))]

= arctan(1)

= 45°

Therefore, the simplified expression is 45°, which is closest to option

a. 38°.

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Answer:

A) 59°

Step-by-step explanation:

m<ADC is a right angle, therefore it is 90°

so that means you can now subtract the angle that you already know [31°] from it to get the angle that is left over, m<ADB

90°-31°= 59° (subtracting m<ADC [90°] from m<BDC [31°] leaves your remaining angle m<ADB [59°]

Answer:

The answer to your problem is, 1130

Step-by-step explanation:

Calculation of work:

discount=40% of 2500

=40/100 x 2500

=1000

discount price=1000

VAT = 13% of 1000

How to find /\:

Percetage graph:

=13/100*1000

=130

price=1000+130

=1130.

Thus, the answer to your problem is, 1130.

Cristiano is said to have racked up around 300 assists in his third year in power.

This estimate is based on the fact that Cristiano has been a prolific passer in his whole career and has frequently improved every season. Assuming he's maintained similar level of assists in his third season and Cristiano has improved season after season, his tally assists in his third year is likely higher than his average of 251 per season.

That's why it is safe to assume that Cristiano completed around 300 passes in his third year, a significant improvement over the previous 2 years. It increase in assists is likely due to Cristiano's increased confidence and comfort in the team, as well as learning more about the club and their plan. All of this together would allow Cristiano to make more passes and become a more efficient player overall.

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Answer:

28 are red

Step-by-step explanation:

(1/5) are blue.  The rest are red, which would be 4/5 of the total.  (1/5)+(4/5) = 1 or 100%

(1/5)*(35) = 7 are blue

(4/5)*(35 = 28 are red

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

Total = 35 cars

The minimum value is 24

To find the minimum value of z=7x+3y, we must use the given constraints to determine the values of x and y.

First, solve 4x + 6y ≥ 24. Rearrange the equation to solve for x: x ≥ (24 - 6y) / 4.

Next, solve x + 6y ≥ 12. Rearrange the equation to solve for y: y ≥ (12 - x) / 6.

Using the two equations, determine the possible values of x and y:
If y = 0, then x = 6
If x = 0, then y = 2

Substitute the possible values of x and y into the equation z = 7x + 3y and find the minimum value:
z = 7(6) + 3(0) = 42
z = 7(0) + 3(2) = 24

Therefore, the minimum value of z is 24.

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