prove that if two sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. (theorem)

When a number is 12 more than another number and twice the sum of two numbers is four. Then two numbers are equals to the 7 and -5.

We have a number is 12 more than another number. Let the two numbers be 'a' and 'b' such that a> b. So, from the question, bigger number, a is 12 more than another number, b. In mathematics form, a = 12 + b --(1)

Also, twice the sum of two numbers is four, that is 2( a + b ) = 4 --(2)

We have to determine the values of two numbers. For this, solve the equation (1) and (2). Using the Substitution method,

Substitute, a = 12 + b from equation (1) to equation(2), 2( a + b ) = 4

=> 2( 12 + b + b) = 4

Simplify the expression

=> 24 + 4b = 4

=> 24 - 4 = -4b

=> 4b = - 20

dividing by 4 both sides

=> b = -5

Plugging the value of b = -5, in equation(1)

=> a = 12 + b = 12 + (-5)

=> a = 12 - 5 = 7

Hence required numbers are 7 and -5.

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Answer:

perdon me sale tu pregunta en ingles y no entiendo

Step-by-step explanation:

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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Answer:

5

Step-by-step explanation:

(125) ^ (1/3)

We can rewrite 125 as 5^3

( 5^3) ^ 1/3

We know that a^b^c =a ^ (b*c)

5 ^(3*1/3)

5^ 1

5

Answer:

5

Step-by-step explanation:

when something is to the power of 1/2, that means you square root it

when it is to the power of a third, that means you cube root it.

for example, if it is 25 to the power of a half, that means \(\sqrt{25} = 5\) because

5 x 5 = 25

this is the same concept

we need to find a number that multiplies itself 3 times and equals to 125

5x5x5 = 125, meaning that

125 to the power of a third, is 5.

The median of the trapezoid is = 17

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It has parallel sides which are known as the bases.

The base of the trapezoid(B1) =14

The base of the trapezoid (B2) = 20

To calculate the median = half the sum of the base of the trapezoid given.

Therefore,

14+20/2

34/2= 17

Therefore, the median of the trapezoid is = 17

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Answer:

[2, ∞)

Explanation:

Given f(x) defined below:

Compare the given quadratic function to the vertex form:

The vertex of the function, (h,k)=(-5,2)

What this means is that the minimum value of f(x) is 2.

Therefore, the range of the quadratic function is:

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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if the level of significance of a hypothesis test is raised from .01 to .05, then  the probability of a Type II error will decrease when the level of significance of a hypothesis test is raised from .01 to .05. (option a)

This change in the level of significance does not directly affect the probability of a Type II error. A Type II error occurs when we fail to reject the null hypothesis, even though it is false. This means that we have concluded that there is no relationship between the variables, even though there actually is one.

The probability of a Type II error depends on several factors, such as the sample size, the effect size, and the level of significance. In general, as the level of significance increases, the probability of a Type II error decreases.

This is because when we are more lenient in rejecting the null hypothesis, we are more likely to detect any real relationship that exists between the variables.

Therefore, the correct answer to your question is (a)

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Answer:

See below.

Step-by-step explanation:

Whatever you divide/multiply the numerator by is what you have to divide/multiply the denominator by.

90/10=9

100/10=10

-hope it helps

In this scenario, we have a uniformly charged thin rod extending along the x-axis from the origin (x = 0) to positive infinity (x = +∞).

The term "uniformly charged" means that the charge is distributed evenly throughout the entire length of the rod.

To analyze this situation, we can consider the following steps: 1. Determine the linear charge density (λ) of the rod. Since the rod is uniformly charged, λ remains constant along its entire length. λ is usually given in units of charge per length (e.g., coulombs per meter).

2. To find the electric field at a particular point along or outside the rod, we can break the rod into infinitesimally small segments (dx) and consider the contribution of the electric field (dE) from each of these segments.

3. Calculate the electric field (dE) produced by each segment at the desired point using Coulomb's equations , considering the linear charge density (λ) and distance between the segment and the point.

4. Integrate the electric field contributions (dE) from all segments along the entire length of the rod (from x = 0 to x = +∞) to find the total electric field (E) at the point of interest.

By following these steps, you can analyze the electric field and related properties of a uniformly charged thin rod extending along the x-axis from x = 0 to x = +∞.

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Answer:

-4/5

Step-by-step explanation:

To find the slope of a line with two points, we do y2-y1/x2-x1.

y2 is 2. y1 is 6.

2-6 = -4

x2 is 8. x1 is 3

8-3 = 5

-4/5 is the answer meaning it is the slope.

Answer:

Slope of this line = -4/5.

Step-by-step explanation:

The formula is

Slope = (y2-y1)/(x2-x1)  where (x1, y1) and (x2, y2)  are  the 2 points.

So here we have:

(6-2)/(3-8)

= -4/5.

The correct option is C

Containing both apples and oranges

A set of items can be divided into subsets in two different ways: combination and permutation. The components of the subset may be arranged in any order when combined. The subset's components are listed in a permutation in a certain order.

The box with the words "apples and oranges" must be opened. By definition, the fruit in the box is the sole type of fruit it contains. Let's say you discovered an apple in the box that had both apples and oranges listed on the label. Since you know it must consequently only contain apples, you draw the conclusion that the box labeled "oranges" cannot contain only oranges because all boxes have allegedly been mislabeled. As a result, the box marked "oranges" must have both apples and oranges while the box marked "apples" can only include oranges.

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I understand that the question you are looking for is:

There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels. Opening just one box, and without looking in the box, you take out one piece of fruit. By looking at the fruit, you can immediately label all of the boxes correctly. Which box did you open?

A. Containing apple

B. Containing oranges

C. Containing both apples and oranges

D. Cannot be determined

Answer:

d

Step-by-step explanation:

Answer:

\(-288\)

Step-by-step explanation:

The sum of the infinite geometric series is defined as:

\(S=\frac{a_1}{1-r}\)

Where \(a_1\) is the first time and \(r\) is the common ratio, where \(r\) lies in the range of:

\(|r|<1\)

\(S=\frac{-144}{1-\frac{1}{2}}=\frac{-144}{\frac{1}{2}}=-288\)

sequence im sure for my answer

Answer:

Yes

Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Answer: it would be 20

Step-by-step explanation: becauseeeeeeeeeeeeeeeee

Answer:

They can chose the best song out or used others opinion.

Step-by-step explanation:

Answer:

(2,3),(4,3),(-2,-3),(-4,-3)

Step-by-step explanation:

A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).

This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.

The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.

A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.

In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:

(5,1),(5,2),(5,3),(5,4)

Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.

The required answer is the probability of getting the marble in any of the four pieces of cake is 4 times that, or about 0.424.

Explanation :

The volume of the cake can be calculated using the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius (half of the diameter) and h is the height. In this case, the diameter of the cake is 9 inches, so the radius is 4.5 inches. The height of the cake is 4 inches. Plugging these values into the formula, we get V = π(4.5)^2(4) = 254.47 cubic inches.
Now, to calculate the probability of getting the marble in one of the four pieces of cake, we need to know the total length of the cake's circumference. The formula for circumference is C = 2πr, so the circumference of the cake is C = 2π(4.5) = 28.27 inches.
Since the arc length of one piece of cake is 3 inches, the probability of getting the marble in one piece of cake is 3/28.27 ≈ 0.106.

Therefore, the probability of getting the marble in any of the four pieces of cake is 4 times that, or about 0.424.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

5(2)+5(7)

Step-by-step explanation:

the first 3 dont add up to 45 which is what the main expression is

Supplementary angles are angles that add up to 180 degrees.

Angle 1 = x

Angle 2 = x + 10

Since they are supplementary, we can set then equal to 180

x + x + 10 = 180

Combine like terms

2x + 10 = 180

Subtract 10 from both sides

2x = 170

Divide both sides by 2

x = 85

Angle 1 = 85 degrees

Angle 2 = 85 + 10 = 95 degrees

Answer:

N = 11

Step-by-step explanation:

\(6n - 4 = 5n + 7 \\ 6n - 5n = 7 + 4 \\ n = 11\)

Answer:

\(n = 11\)

Step-by-step explanation:

First let's write our equation

\(6n - 4 = 5n + 7\)

This due to Vertical angles

Subtract 5n from both sides

\(n - 4 = 7\)

Add four to both sides

\(n = 11\)

Would be our answer

Brainliest please

Answer:

10+2h=T

hope this helps :)

Answer:

-175

Step-by-step explanation:

thats the answer to the question

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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Answer:

value of z is39°.

Step-by-step explanation:

64+68+z+9=180°(sum of triangle)

141+z=180

z=180-141

z=39°

Answer:

22

Step-by-step explanation:

Answer: -1 1/4 - (-1/2) = -3/4

Step-by-step explanation: