Let AB // ED , AB = 10 units, AC = 12 units, and DE = 5 units. What is the length of AD?​

37000 + 37000\(0.09)

is the answer.

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

for a rectangle to be called a square with 4 sides must be equal

for rectangle to be called a square its four angles must be equal.

Answer:

all parallel sides are the same lengths

all angles are 90°

Step-by-step explanation:

We know that the square has the definition of an object or plane that has all the four sides of equal length,

And all the angles related to the sides are also same. (all angles are 90°)

Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.

In an analysis of variance (ANOVA), the F-ratio is used to determine whether there are significant differences between the means of two or more groups.

When the null hypothesis is true, it means that there are no significant differences between the group means, and any observed differences are due to random chance.

In this scenario, the F-ratio is balanced in such a way that the numerator and the denominator both measure the same sources of variance.

The F-ratio is calculated by dividing the variability between the group means (numerator) by the variability within the groups (denominator).

When the null hypothesis is true, both the numerator and the denominator represent the same underlying variation.

This ensures that the F-ratio is balanced and close to 1.0, indicating that the group means are similar and any observed differences are likely due to chance.

The balanced F-ratio is a crucial aspect of ANOVA as it allows researchers to assess the significance of group differences accurately.

If the F-ratio deviates significantly from 1.0, it suggests that the observed differences between the group means are unlikely to be due to random chance alone, and the null hypothesis is rejected in favor of the alternative hypothesis.

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Given:

Correct answer is

Final options are:

The first term should be positive.

She did not distribute the -4 properly.

Answer:

The price after the discount is $600

The amount discounted off is $200

Step-by-step explanation:

Based on the given data, there is not significant evidence at the 5% level to prove that Sweatin to the Oldies is better than Tae Bo in terms of weight loss.

To determine if there is a significant difference between the two programs, we can conduct a hypothesis test using the two-proportion z-test. The null hypothesis (H0) would be that there is no difference in the proportion of weight loss between Sweatin to the Oldies and Tae Bo, while the alternative hypothesis (Ha) would be that there is a significant difference.

Using the given data, we can calculate the sample proportions for weight loss in each program:

- Sweatin to the Oldies: 1280/2340 ≈ 0.547

- Tae Bo: 1180/2006 ≈ 0.588

We can then calculate the test statistic and compare it to the critical value at the 5% level of significance. If the test statistic falls in the critical region, we reject the null hypothesis and conclude that there is a significant difference. Otherwise, if the test statistic falls outside the critical region, we fail to reject the null hypothesis.

However, the critical values for the two-proportion z-test depend on the specific test being conducted (one-tailed or two-tailed) and the desired level of significance. Without this information, we cannot provide a conclusive answer.

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Answer:

-6

Step-by-step explanation:

because the roots are the x values of where the function crosses the x axis

so thats at -2 and 3

and product is multiplication

so -2×3= -6

Answer:

The roots/zeroes are where the x-values where the graph touches or passes through the x-axis..They are at -1 and 3. So your answer would be a) -1

Step-by-step explanation:

Answer:

I think the second answer

Step-by-step explanation:

I'm late but it's the second answer!

Answer:

Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.

Step-by-step explanation:

\( \red { \green {\boxed {\boxed{Answer}}}}\)

\(x + 3 > 10\)

\(x > 10 - 3\)

\(x > 7\)

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∠GML ≅ ∠HMJ by the Vertical Angles Congruence Theorem.

∠GMH ≅ ∠LMJ by the Vertical Angles Congruence Theorem.

∠GMK ≅ ∠JMK by the Right Angles Congruence Theorem. They form a linear pair which means they are supplementary by the Linear pair Postulate and because one is a right angle so is the other by the Subtraction Property of Equality.

According to the congruence theorem of vertical angles or angles that are vertically opposing, two opposing vertical angles that are created when two lines intersect one other are always equal.

So from the figure, we can determine the vertically opposite angles,

∠GML ≅ ∠HMJ

Similarly, ∠GMH ≅ ∠LMJ

The angles ∠GMK and ∠JMK form a linear pair and are supplementary by the linear pair postulate which states that the two angles in the linear pair add up to 180°.

We know that all right angles are congruent from the Right Angle Congruence Theorem.

Hence,∠GMK ≅ ∠JMK

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

A raccoon consumes 500 calories of food. Of those calories, 50 are transformed into biomass. In other words, 50 calories of energy are stored In Its body. So, option D is correct.

When a raccoon eats 500 calories of food, some of those calories go towards its daily needs for warmth, movement, and reproduction. The raccoon's body does not store this energy; instead, it is transformed into other forms, including heat and movement. In addition, a portion of the energy in meals is expelled as waste rather of being absorbed. Nonetheless, 50 calories of the food's energy are transformed into biomass, which is then stored as fat or tissue in the raccoon's body. Thus, the right response is D) Its body stores 50 calories of energy.

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The actual question is:

A raccoon consumes 500 calories of food. Of those calories, 50 are transformed into biomass. In other words:

A) 50 calories turn into plant matter.

B) 50 calories leave the raccoon's body as waste.

C) In order to stay warm, reproduce, and move around, it needs 50 calories of energy.

D) 50 calories of energy are stored In Its body

The graph of the function y = 2x + 5 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = √(x - 2)

The above function is a square root that has been transformed as follows

Shifted right by 2 units

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The coordinates of the point in polar form are (r, θ).

In polar coordinates, a point is represented by its distance from the origin (r) and the angle it forms with the positive x-axis (θ). The given conditions specify that r must be greater than 0 and θ must be between 0 and 2π (or 0 and 360 degrees).

The distance from the origin (r) represents the magnitude or length of the vector from the origin to the point. Since r is greater than 0, it ensures that the point lies at a positive distance from the origin.

The angle (θ) specifies the direction or orientation of the point. The condition 0 < θ < 2π ensures that the angle lies within a complete revolution around the origin.

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a) The probability that the same product is discounted exactly 10 days from now is 1/10. As the website randomly selects among 10 products to discount each day, the probability that the colour printer will be discounted exactly 10 days from now will be the same as the probability of any other product being discounted exactly 10 days from now, which is 1/10.

b) Let X be the number of days until this product is again discounted. X is a geometric random variable with parameter p = 1/10. Hence, E(X) = 1/p = 10 days.

c) The probability that it is discounted for the third time in 5 days from now can be calculated using the negative binomial distribution. Let Y be the number of days until the product is discounted for the third time, with Y = k on the kth day. Then we have P(Y = 5) = (3-1) C (5-1) * (1/10)^3 * (9/10)^4 = 0.00576 or 0.576%.d)

For the next five days, the probability that it is discounted in three days can be calculated using the binomial distribution with n = 5 and p = 1/10. Hence, P(X = 3) = (5 C 3) * (1/10)^3 * (9/10)^2 = 0.0081 or 0.81%.

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We have that, based on the probability of a website, randomly selecting between 10 products to discount each day, we are going to obtain the following:

a) The probability that the color printer will have an exact discount in 10 days is 1/10

b) The expected number of days until the product is discounted again is 10 days

c) The probability that the color printer will be discounted for the third time within 5 days is 1/1000.

d) The probability that the color printer will be discounted in three days is 81/1000

a) To find the probability that the color printer will be on sale exactly 10 days from now, we must assume that there are 10 products and only 1 is on sale each day. The probability of selecting the color printer is 1/10. Since the selection is random each day, the probability that it will be discounted again in exactly 10 days is also 1/10.

b) The expected number of days until the product is discounted again can be calculated using the geometric distribution. For a geometric distribution with probability p, the expected value is given by E(X) = 1/p. In this case, p = 1/10, so the expected number of days is E(X) = 1/(1/10) = 10 days.

c) To find the probability that the color printer will be discounted for the third time within 5 days, we must consider three independent discounts. The probability of selecting the color printer each day is 1/10. Since the selection is random and independent each day, we need to multiply the probabilities: (1/10) * (1/10) * (1/10) = 1/1000.

d) For the next five days, the probability that the color printer will be discounted in three days can be found by finding the probability that the third day is discounted and the first two days are not discounted. The probability of not being discounted is 9/10. Therefore, the probability that the color printer will be discounted on the third day after not discounting the first two days is: (9/10) * (9/10) * (1/10) = 81/1000.

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Answer:

x=16

Step-by-step explanation:

1/2 ( x - 4 ) = 1/3 ( x + 2)

distribute both sides

1 /2 (x−4)= 1/ 3 (x+2)

( 1 /2 )(x) + ( 1/ 2 )(−4) =( 1 /3 ) (x)+( 1/3 )(2)(Distribute)

1 /2 x+−2= 1 /3 x+ 2 /3

1 /2 x+−2= 1 /3 x+ 2 /3

Step 2: Subtract 1/3x from both sides.

1/2x -2 -1/3 x

x= 1 /3 x + 2/3  − 1/ 3 x

1 /6  x−2= 2/ 3

Step 3: Add 2 to both sides.

1 /6 x −2+2= 2/ 3  +2

1 /6 x = 8 /3

Step 4: Multiply both sides by 6.

6*( 1/6 x) =6*( 8 /3 )

x=16

Answer:

Value of x = 5°

Value of y = 4°

Step-by-step explanation:

Given:

ABCD is a parallelogram

Find:

Value of x and y

Computation:

12x = 60°

x = 5°

7y = 28°

y = 4°

Value of x = 5°

Value of y = 4°

The function 8x f(x) = x² + 3 is a polynomial function, which means it is continuous on the entire real number line, that is, it has no holes, jumps, or vertical asymptotes in its graph

Polynomial functions, in general, are continuous on the entire real number line. The definition of a continuous function is one that can be drawn without lifting your pencil from the paper. The polynomial function is a function of x of the form: f(x) = a₀ + a₁x + a₂x² + … + anxn, where a₀, a₁, a₂, …, an are real numbers and n is a non-negative integer. The polynomial function can be written in factored form as: f(x) = a (x – r₁) (x – r₂) … (x – rn), where r₁, r₂, …, rn are the roots or zeros of the function and a is the leading coefficient. In this case, the function f(x) = x² + 3 is a polynomial function of degree 2.

Since all polynomial functions are continuous on the entire real number line, the given function is also continuous on the entire real number line. Thus, we can conclude that the function f(x) = x² + 3 is continuous on the entire real number line.\

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The proper way to report the groups' mean and standard deviation of independent sample t test is  

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

The APA style guide provides detailed instructions for referencing statistical test results, so in addition to following the basic format correctly, you must pay attention to details like punctuation, bracket placement, italicization, and other formatting elements.

Given, that the independent samples t test is conducted, where we have two groups.

Group 1- mean= 11.6 and SD=3.1

Group 2- mean=19 and SD=2.9

We have to write the values in the APA format for a report.

The APA formatting to represent the mean and SD of two groups is as follows, Mean and standard deviation are denoted by the letters M and SD, respectively.

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

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The free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

What is a fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, or three-quarters.

To rank the free throw accuracy of these players from lowest to highest, we need to compare the fraction of free throws made to the total number of free throws taken by each player.

The fraction of free throws made to the total number of free throws taken is called the free throw percentage.

The free throw percentage for each player can be calculated by dividing the number of free throws made by the number of free throws taken and expressing the result as a decimal.

For example, the free throw percentage for Smith can be calculated as follows:

Free throw percentage = 13/19 = 0.68

We can use this same method to calculate the free throw percentage for the other players:

Haller: Free throw percentage = 12/20 = 0.6

Dennis: Free throw percentage = 14/17 = 0.82

Ballard: Free throw percentage = 17/22 = 0.77

Based on these calculations, the free throw accuracy of these players can be ranked from lowest to highest as follows:

Haller: Free throw percentage = 0.6

Smith: Free throw percentage = 0.68

Ballard: Free throw percentage = 0.77

Dennis: Free throw percentage = 0.82

Hence, the free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

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Answer: I do not have enough information to solve this equation

Step-by-step explanation:

I do not have enough information to solve this equation

Answer:

3x√5 + 6√10x + 5√3x + 10√6

Step-by-step explanation:

(√3x + √5)(√15x + 2√30)

The above expression can be evaluated as follow:

(√3x + √5)(√15x + 2√30)

Expand

√3x (√15x + 2√30) + √5(√15x + 2√30)

x√45 + 2√90x + √75x + 2√150

Express in the best possible surd form.

x•3√5 + 2•3√10x + 5√3x + 2•5√6

3x√5 + 6√10x + 5√3x + 10√6

We can not simplify further.

Therefore,

(√3x + √5)(√15x + 2√30) =

3x√5 + 6√10x + 5√3x + 10√6

Answer:

\(x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}\)

Step-by-step explanation:

simplify \(\frac{-3}{x-2}\) by putting the negative sign on the outside. \(\frac{2x}{x-1}-\frac{2x-5}{x^2-3x+2}=-\frac{3}{x-2}\)

find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:

\(\frac{2x}{x-1}\left(x-1\right)\left(x-2\right)-\frac{2x-5}{x^2-3x+2}\left(x-1\right)\left(x-2\right)=-\frac{3}{x-2}\left(x-1\right)\left(x-2\right)\)

Simplify:

\(2x\left(x-2\right)-\left(2x-5\right)=-3\left(x-1\right)\)

solve: \(x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}\)

Answer:

All equal 180

Step-by-step explanation:

(i) The sum of all the 3 angles of a triangle is always equal to 180 degrees.

(ii) If we are given 3 angles of a triangle in terms of a variable, then we set up their sum to be 180 degrees and solve for the variable.

(iii) We substitute the value of the variable back into the given angles to find their measurements.

Answer:

The possible values of k are 3 and -3

Step-by-step explanation:

Given

Points: (-3,k) and (2,0)

Distance between them = √34

Required

Determine the value of k

The distance between two points is calculated as thus;

\(Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

Let

\((x_1,y_1) = (-3,k)\)

\((x_2,y_2) = (2,0)\)

Substitute these values in the given formula

\(Distance = \sqrt{(-3 - 2)^2 + (k - 0)^2}\)

Evaluate the brackets

\(Distance = \sqrt{-5^2 + k^2}\)

\(Distance = \sqrt{25 + k^2}\)

Recall that Distance = √34

So; we have

\(\sqrt{34} = \sqrt{25 + k^2}\)

Take square of both sides

\(34 = 25 + k^2\)

Collect Like Terms

\(k^2 = 34 - 25\)

\(k^2 = 9\)

Take square root of both sides

\(k = \±3\)

Hence, the possible values of k are 3 and -3