The proof that HG ≅ EG is shown.

Given: G is the midpoint of KF

KH ∥ EF

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?

SSS
AAS
SAS
HL

Step-by-step explanation:

To find the height of the rectangular prism, you will need to use the formula for the volume of a rectangular prism, which is:

Volume = Length × Width × Height

In this problem, you have:

Volume = 2,610 cubic inches

Length = 3 inches

Width = 29 inches

You'll need to solve for Height. Using the formula:

2,610 = 3 × 29 × Height

First, multiply the length and width together:

2,610 = 87 × Height

Next, divide both sides by 87 to isolate Height:

Height = 2,610 / 87

Height = 30 inches

So, the height of the rectangular prism is 30 inches.

Answer:

30 inches.

Step-by-step explanation:

Given:
Volume=2610 cubic inches,

length=3 inches

width=29inches

Volume of a rectangular prism is given by.

Volume = length * width * height

We know the volume, length and width. So, we can find the height as follows:

Substituting value

2610=3*29*height

2610=87*height

height=2610/87

height=20 inches

Therefore, the height of the rectangular prism is 30 inches.

Answer:

a lawn is probaly 50m in size

Answer:

y=5

Step-by-step explanation:

4(y-6)=-4

4y-24=-4

+24      +24

4y=20

y=5

Answer:

X=26

Step-by-step explanation:

the answer isn't among the options

Answer:

Quadrants: 1, 3, 4. (See explanation for further details)

Step-by-step explanation:

The graphic of the linear function is included below as attachment. The line covers the following quadrants: 1, 3, 4

Answer:

1, 2, 3

Step-by-step explanation:

Two congruent triangles with the same orientation aligned with one above the other. The transformation is -

Option A: reflection over a horizontal line

What is reflection?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

In the figure it is given that -

Both the triangles are equal and congruent to each other.

There is no change in the shape or size of both the images only the place of the image is changed.

One triangle is placed above the another.

This is done over a horizontal plane.

Therefore, the transformation is reflection over horizontal line.

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The researcher is assessing item equivalence, If a study is in parallel forms of the measurement instrument to the same person. The correct option is C).

When a study introduces parallel forms, the researcher is assessing item equivalence. Item equivalence refers to the extent to which the different forms of the measurement instrument produce similar results for the same individual.

This assessment is crucial in research because it allows researchers to evaluate the consistency and reliability of the measurement instrument across different versions. By administering parallel forms to the same person, any differences in responses can be attributed to individual factors rather than variations in the instrument.

This helps ensure that the instrument is measuring the intended construct consistently and accurately. The correct option is C).

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Answer:

The mean (μ) of the sampling distribution of the sample mean is equal to the population mean, which is 20 pounds.

Step-by-step explanation:

The standard deviation (σ) of the sampling distribution of the sample mean is equal to the population standard deviation divided by the square root of the sample size:

σ = 5 / sqrt(5) ≈ 2.24 pounds (rounded to two decimal places)

Therefore, the mean of the sampling distribution of the sample mean is 20 pounds and the standard deviation is approximately 2.24 pounds when samples of size 5 are taken from the population of watermelons with a mean of 20 pounds and a standard deviation of 5 pounds.

Answer:

might be C

Step-by-step explanation:

Answer:

False, you could not answer this question.

Step-by-step explanation:

Have a good day

Step-by-step explanation:

1. Simplify |-15|∣−15∣ to 1515.

15+|13|

15+∣13∣

2 Simplify.

28

28

Done

2.Simplify |-12|∣−12∣ to 1212.

Simplify |-12|∣−12∣ to 1212.12-|-8|

Simplify |-12|∣−12∣ to 1212.12-|-8|12−∣−8∣

Simplify |-12|∣−12∣ to 1212.12-|-8|12−∣−8∣2 Simplify |-8|∣−8∣ to 88.

Simplify |-12|∣−12∣ to 1212.12-|-8|12−∣−8∣2 Simplify |-8|∣−8∣ to 88.12-8

Simplify |-12|∣−12∣ to 1212.12-|-8|12−∣−8∣2 Simplify |-8|∣−8∣ to 88.12-812−8

Simplify |-12|∣−12∣ to 1212.12-|-8|12−∣−8∣2 Simplify |-8|∣−8∣ to 88.12-812−83 Simplify.

Simplify |-12|∣−12∣ to 1212.12-|-8|12−∣−8∣2 Simplify |-8|∣−8∣ to 88.12-812−83 Simplify.4

Simplify |-12|∣−12∣ to 1212.12-|-8|12−∣−8∣2 Simplify |-8|∣−8∣ to 88.12-812−83 Simplify.44

3. Simplify.

\frac{3}{7.1\times 2}

7.1×2

3

2 Simplify 7.1\times 27.1×2 to 14.214.2.

\frac{3}{14.2}

14.2

3

3 Simplify.

0.211268

0.211268

If you multiplied out 82!, it would end in 19 zeros by factoring out from the product of all integers from 1 to 82.

To determine the number of zeros at the end of 82!, we need to find the number of times 10 can be factored out from the product of all integers from 1 to 82.

This is because a zero is created whenever a factor of 10 is present in a number, which occurs when a multiple of 10 or a multiple of 5 and 2 is present in the product.

We can find the number of multiples of 5 and 2 by dividing 82 by 5 and then by 25, since each multiple of 5 contributes at least one factor of 5 and each multiple of 25 contributes an additional factor of 5.

82 ÷ 5 = 16 with a remainder of 2, so there are 16 multiples of 5 between 1 and 82.

82 ÷ 25 = 3 with a remainder of 7, so there are 3 multiples of 25 between 1 and 82.

Therefore, the total number of factors of 5 in 82! is 16 + 3 = 19. Since every factor of 5 can be paired with a factor of 2, there will always be enough factors of 2 to create a factor of 10. Thus, there are 19 zeros at the end of 82!.

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If two variables are correlated, a change in one must directly produce a change in the other. (False)

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.

False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.

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If the researchers select a sample of 100 participants then the degree of freedom for a one sample t test is 99 .

In the question ,

it is given that ,

the number of participants that researcher select = 100 participants ;

we know that the formula for degree of freedom is = sample - (number of parameter)

Since we have to find degree of freedom for one sample test ,

So , number of parameter is = 1 .

the degree of freedom = 100 - 1

= 99

Therefore , the degree of freedom for a one sample t test is 99 .

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3.749 9.9 24.62 9.798

Okay, so take this with a grain of salt

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Given:

A diagram of a circle O, \(arc(AB)=y^\circ, arc(CD)=(80+y)^\circ\).

To find:

The measure of arc DC.

Solution:

According to the angle of intersecting chords theorem:

Angle at intersection of chords = Half of the sum of intercepted arcs.

Let \(\theta \) be the angle between the intersection of chords AC and BD.

\(\theta +112^\circ=180^\circ\)      (Linear pair)

\(\theta =180^\circ-112^\circ\)

\(\theta =68^\circ\)

Using the angle of intersecting chords theorem, we get

\(\theta=\dfrac{arc(AB)+arc(CD)}{2}\)

\(68^\circ =\dfrac{y^\circ+(80+y)^\circ}{2}\)

\(136^\circ =(80+2y)^\circ\)

On simplification, we get

\(136=80+2y\)

\(136-80=2y\)

\(56=2y\)

Divide both sides by 2.

\(28=y\)

Now,

\(arc(DC)=(80+y)^\circ\)

\(arc(DC)=(80+28)^\circ\)

\(arc(DC)=108^\circ\)

Therefore, the correct option is C.

Answer:

-7 3/4 (or it can be written as -31/4, an improper fraction)

Step-by-step explanation:

Therefore, the answer is -7 3/4 as a mixed number and -31/4 as an improper fraction (they're the same thing).

The x = 85 Degrees The complementary angle is y = 5 degrees.

Let us assume that x is the measure of the angle we are trying to find and y is the measure of the complementary angle. Complementary angles are pairs of angles whose sum is 90 degrees.

As given, The measure of an angle is seventeen times the measure of its complementary angle.

Then the equation becomes;x = 17yWe also know that the sum of the two complementary angles is 90 degrees;

x + y = 90

Substituting x = 17y into x + y = 90;17y + y = 90Simplifying the equation above,18y = 90Dividing both sides by 18,y = 5

Now that we know y, we can substitute it into the first equation to find x;x = 17(5)

Hence, the measure of each angle is 85 degrees and 5 degrees.

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Answer:

x = 7, y = 60

Step-by-step explanation:

Given the 2 equations

50x - 2y = 230 → (1)

50x - 3y = 170 → (2)

Subtract (2) from (1) term by term on both sides

y = 60

Substitute y = 60 into either of the 2 equations and evaluate for x

Substituting into (1)

50x - 2(60) = 230

50x - 120 = 230 ( add 120 to both sides )

50x = 350 ( divide both sides by 50 )

x = 7

Answer:

1.) 5

2.) 14

Step-by-step explanation:

As given,

the expression - 3x + 2

1.)

Evaluate the expression when x is 1

⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5

2.)

Evaluate the expression when x is 4

⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14

The probability of having the sums that would exceed 100 has been calculated to be 0.5

We have the set or the sample space as:{1 , 5 , 10 , 100) It is said that two numbers would be able to be gotten from the set that we have. Given that the total numbers are 4, we would have ⁴C₂ = 6

The two numbers would be gotten from the set of 4 numbers in 6 different ways.

We are to find the numbers which when we add them up would be able to give us a sum that is greater than 100 these values are (100, 1), (100, 5), (100, 10)

Hence three pairs out of the given six that we already have would be able to give us values that are more than 10. We would have to divide through such that 3 / 6 = 1 / 2 = 0.5

Hence the probability that their values when summed would have to be greater than 100 is 0.5

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

The standard form of a linear equation is expressed as

Ax + By = C

The given points that the line passed through are (6, 4) and (- 4, 9)

The first step is to find the slope of the equation. The formula for finding slope is expressed as

slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 6, y1 = 4

x2 = - 4, y2 = 9

m = (9 - 4)/(- 4 - 6) = 5/- 10

m = - 1/2

The eqyation of a line in the slope intercept form is expressed as

y = mx + c

m = slope

c = y intercept

To find c, we would substitute m = - 1/2, x = 1 and y = 4 into the slope intercept equation. It becomes

4 = - 1/2 * 1 + c

4 = - 1/2 + c

c = 4 + 1/2 = 9/2

Thus, we have

y = - x/2 + 9/2

Converting it to standard form, the standard form is

x/2 + y = 9/2

- x + 2y = 9

where

A = - 1, B = 2 and C = 9

Given that the numbers have different signs, we have to subtract them.

Answer:

x = 25

Step-by-step explanation:

\(x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25\)

Answer:

I think it's 6 kids absent

Step-by-step explanation:

Hope this helps

\(1 \times 9 = 9 \: \: \: yes\)

\(0 \times 6 = 1 \: \: \: no \: \: \\ because \: 0 \times 6 = 0\)

\(0 \times 7 = 0 \: \:yes\)

\(1 \times 8 = 1 \: \: no \: \: \\ because \: \: 1 \times 8 = 8\)

\(hope \: \: it \: \: helps \\ ray4918 \: \: \: here\)