is quadrilateral defg a parallelogram? why or why not? question 15 options: a) no, because opposite sides aren't parallel. b) yes, because opposite sides aren't congruent. c) there isn't enough information. d) yes, because opposite sides are parallel.

The equation of the line is 2x - 3y = 19.

The standard form for linear equations is

ax+by = c

From the question, we have

y + 1 = (2/3)(x - 8)

⇒y + 1 = (2/3)x - (16/3)

Multiply by 3 in both sides, we get

⇒3y + 3 = 2x - 16

Subtract 2x from both sides, we get

⇒-2x + 3y + 3 = - 16

⇒-2x + 3y = -16-3

⇒2x - 3y = 19

Linear equations:

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable).

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

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Answer:

(1,0) and (3,0)

Step-by-step explanation:

The roots are always shown where the parabola crosses the x-axis.

In this particular graph, the parabola crosses at (1, 0) and (3, 0). Which means the roots are:

x = 1 and x = 3

a. The width of the gap is 2cm

b. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

Length of A = 3/8 × 64cm

Length of A = 24cm

Given that the volume of B and C is the same, then:

total length of B and C = 64cm - 24cm

total length of B and C = 40cm

length of B = 20cm and length of C = 20cm

a. The width of the gap in the stool is calculated by subtracting the width of B and C from the length of A

24cm - 22cm = 2cm

b. 20 completed stools can be stacked either standing or by it sides, so they can be stacked in two ways.

height of stacking 20 stools standing = 20 × (20 + 11)cm = 620cm

height of stacking 20 stools by its side = 20 × 24cm = 480cm

620cm = 6.2m

480cm = 4.8m

Therefore, the width of the gap is 2cm. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

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In a right triangle, the Pythagorean theorem states that the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). if c^2 is not equal to a^2 + b^2, then a, b, and c cannot form a right triangle.

Given the side lengths a, b, and c, we can determine if they can form the sides of another right triangle. To do so, we need to check if the Pythagorean theorem holds true for any combination of the side lengths. We square the two shorter sides, and if their sum is equal to the square of the longest side, then those side lengths can form a right triangle.

If c^2 = a^2 + b^2, then a, b, and c can be the side lengths of a right triangle. However, if c^2 is not equal to a^2 + b^2, then a, b, and c cannot form a right triangle.

Without specific values for a, b, and c, it is not possible to definitively determine which three numbers can be used as side lengths of another right triangle. It depends on the relationship between the values of a, b, and c and whether the Pythagorean theorem is satisfied.

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100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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Answer:

6x + 12 = 6x + 12

Explanation:

4(x + 3) + 2x

4x + 12 + 2x    Distribute 4.

6x + 12            Combine the like terms.

6(x + 2)          

6x + 12            Distribute 6

Answer:

 6

Explanation:

Given expression:

\(\sf \rightarrow 4 \dfrac{1}{7} \div \dfrac{2}{3}\)

\(\sf \rightarrow 4 \dfrac{1}{7} \times \dfrac{3}{2}\)

\(\sf \rightarrow \dfrac{29}{7} \times \dfrac{3}{2}\)

\(\sf \rightarrow \dfrac{29(3)}{7(2)}\)

\(\sf \rightarrow \dfrac{87}{14}\)

\(\sf \rightarrow 6\dfrac{3}{14}\)

Here the remainder is 3, quotient is 6.

The required quotient is 6.

Given that,
To determine the quotient of 4 and 1 over 7 divided by 2 over 3.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Fraction is defined as the number of compositions that constitute the Whole.

Here,
4 and 1 over 7 divided by 2 over 3
= 4 1/7 ÷ 2 / 3
= 29 / 7 ÷ 2/3
= 29 / 7 * 3 / 2
= 87/14
Transforming the above expression into a mixed fraction
= 6 + 3 / 14 or 6 3 /14

Thus, the required quotient is 6.

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Yes, the line 1 and line 2 are parallel lines as the sum of both given angles is 180°.

Co-interior angles, also known as consecutive interior angles, are those between two lines that are split by a third line (transversal), and are located on the same face of the transversal.

The majority of the time, it comes from the latin word "com-," which often means "along with." Co-interior angles are located on the same face of a transversal as well as between two lines. The significant correlations angles in each diagram are referred to as co-interior angles. Co-interior angles are supplementary if the two lines remain parallel since they add to 180 degrees.

In the given diagram:

= 75 + 105 (co-interior angles)

= 180° (supplementary angles)

So,

line 1 || line 2

Thus, the line 1 and line 2 are parallel lines as the sum of both given angles is 180°.

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Answer:

lol same

Step-by-step explanation:

idek

Answer:

What grade are you in? You aren't supposed to do all your missing work in one day try to get onto your work currently if you have extra time do your missing work. Remember you wanna do good on it you don't wanna finish all and be stressed out because you'll have even more missing work. If you do it just to finish it won't help either. Be focused while doing it but also be free and don't bother yourself. Such as if you played valorant for 5 hours do a missing assignment then keep on playing  (that is if you already finished what you did)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer: d if I’m correct please correct me if I’m wrong

Step-by-step explanation:

The given series Σ (-1)k + (k + 4)7k k = 1 is an alternating series because it alternates between positive and negative terms.

To determine convergence, we can apply the Alternating Series Test. The terms decrease in magnitude as k increases, and the limit as k approaches infinity of the absolute value of the terms is 0. Therefore, the alternating series converges.

The limit lim a n n → 00 is the limit of the nth term of the series as n approaches infinity. The limit can be evaluated by simplifying the expression for a_n and then taking the limit as n approaches infinity. Without the specific expression for a_n, it is not possible to determine the limit.

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43 is the answer

Hoped I help :)

Answer:

the answer to the equation 5+37+1 = ? is 43

Step-by-step explanation:

37+5= 42

42+1= 43

The solution to this system of equations is dependent.

Dependent matrix is a matrix where one or more rows can be expressed as a linear combination of the other rows. This means that the rows are not linearly independent, and there is redundancy in the information they provide.

A dependent matrix has less than full rank, which means that the rank of the matrix is less than the number of rows or columns. In a dependent matrix, one or more variables can be expressed in terms of the other variables, and the system of equations represented by the matrix has infinitely many solutions.

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Answer:

blue=2

green=1

orange=2

red=5

ФФФФФФФФФ↑↑→≅≅≅≅≅≅≅≅≅≅НЧШДЦ

The data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance, concluded with the help of a one-sample t-test.

To test whether the current ozone level is significantly different from the normal level of 5.5 ppm, we can use a one-sample t-test.

The null hypothesis is that the mean ozone level is equal to 5.5 ppm:

H0: mu = 5.5

The alternative theory is that the average ozone level exceeds 5.5 ppm:

Ha: mu > 5.5

The significance threshold will be set at 0.05.

t = (x - mu) / (s / sqrt(n)) is the test statistic for a one-sample t-test.

where x is the sample mean, is the hypothesized population mean, s represents the sample standard deviation, and n represents the sample size.

When we substitute the provided values, we get:

t = (6.0 - 5.5) / (0.9 / sqrt(13)) = 1.936

Using a t-table with 12 degrees of freedom (n-1=13-1=12) and a significance level of 0.05, the critical value is 1.782. Since our calculated t-value (1.936) is greater than the critical value (1.782), we reject the null hypothesis.

Therefore, we can conclude that the data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance.

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Answer:

Step-by-step explanation:

The reflection preserves the side lengths and angles of triangle ABC. The dilation preserves angles but not side lengths.

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.

Answer:

 A is -4 B is 2.5 C is 4 D is -2.5

Step-by-step explanation:

Answer:

In the screenshot

Step-by-step explanation:

not sure about D, The square root of 6 is 2.449 and negative because of the line in front so -2.449? I'm not sure

Answer:

Square root

root

Answer: The square of a natural number is a perfect square.

Step-by-step explanation: for example, squaring 9 would leave you with a perfect square of 3, since 3x3 is 9. It is a perfect square.

Answer: i think its 72. since the triangle is isoseles the other angle is 54. adding both makes 108 then subtract it from 180, then pow, the answer. Apologies if it's not right i didnt understand that section of my class that well

In this scenario, we have two parallelograms, ghlj and gstu. The given information states that gstu is inside of ghlj. We are then asked to determine why angle ∠l is congruent to angle ∠t.

To understand why ∠l is congruent to ∠t, we need to look at the properties of parallelograms. In a parallelogram, opposite angles are congruent. In other words, if two sides of a parallelogram are parallel, then the opposite angles formed by these sides will be equal.

Looking at parallelogram ghlj, we see that side gh is parallel to side sj (given information). This means that angle ∠l and angle ∠t are opposite angles and therefore congruent.

In conclusion, the reason why ∠l is congruent to ∠t is due to the property of parallelograms. Since gstu is inside ghlj, side gh is parallel to side sj. This parallelism leads to the congruence of the opposite angles ∠l and ∠t.

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Using the empirical rule for normal distributions, we can estimate the probability that a randomly selected game for a basketball player results in scoring less than 26 points.

The empirical rule, also known as the 68-95-99.7 rule, provides an approximation for the probabilities within certain ranges in a normal distribution.

For this basketball player's scoring distribution with a mean of 20 points and a standard deviation of 3 points, we can use the empirical rule to estimate the probability of scoring less than 26 points.

According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

In this case, since we want to estimate the probability of scoring less than 26 points, which is one standard deviation above the mean, we can expect the probability to be around 68%.

However, it's important to note that the empirical rule provides an approximation and assumes that the data follows a perfect normal distribution. It may not provide an exact probability, but it gives a good estimate based on the characteristics of the normal distribution.

Therefore, based on the empirical rule, we can estimate that the probability of the player scoring less than 26 points in a randomly selected game is around 68%.

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They rode 15 miles before replacing each horse.

Let's assume that each rider rode a different number of horses, denoted as x, y, and z respectively. Since they used a total of 16 horses, we have the equation x + y + z = 16.

Since they rode the same number of miles on each horse, let's denote the distance traveled by each horse as d. Therefore, the total distance covered by all the horses can be calculated as 16d.

We are given that the three riders rode a total of 240 miles. Therefore, we have the equation xd + yd + z*d = 240.

From the given information, we have two equations:

x + y + z = 16 (Equation 1)

xd + yd + z*d = 240 (Equation 2)

Since we need to find the number of miles they rode before replacing each horse, we need to find the value of d. To solve this system of equations, we can substitute one variable in terms of the others.

Let's assume x = 16 - y - z. Substituting this into Equation 2, we get:

(16 - y - z)d + yd + z*d = 240

Simplifying, we have:

16d - yd - zd + yd + zd = 240

16d = 240

d = 240/16

d = 15

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the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

easy $2,400

Step-by-step explanation:

01.

2x-3y=-24

-3y=-2x-24

3y=2x+24

y=(2x+24)/3

02.

x+(6*2)=18

x=18-12

x=6

Answer: y =  2/ 3 x+8, and x = 6

Step-by-step explanation: 2x−3y+−2x=−24+−2x                                                   −3y /−3  =  −2x−24 /−3                                                                                                     y =  2/ 3 x+8                                                                                                                           x+(6)(2) = 18                                                                                                                          x+12+(-12) = 18+-12                                                                                                                x = 6

Answer:

b

Step-by-step explanation:

I think its b I'm not sure but let me know if its wrong so I can improve