The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a
followed by a

Answer:

18.25

Step-by-step explanation:

From the quadratic equation given, the time it will take till the arrow hits the ground is 22.75 seconds

To determine when the arrow hits the ground, we need to find the value of x when the height, f(x), is equal to 0. In other words, we need to solve the equation:

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation

In this case, a = -16, b = 24, and c = 16. Substituting these values into the quadratic formula:

x = (-(24) ± √((24)² - 4(-16)(16))) / (2(-16)).

Simplifying further:

x = (-24 ± √(576 + 1024)) / (-32),

x = (-24 ± √(1600)) / (-32),

x = (-24 ± 40) / (-32).

x = -101/4 or x = 101/4

Since x≠  negative;

x = 101/4 = 22.75 seconds

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Given data:

Population Mean = 346

Standard Deviation = 72

Expected Value of e(x) = population mean = 346

Sample Size = 216

In this case, if many random samples of 216 are taken, then the mean of the sample mean numbers per week is 346. (Option C)

To solve for the variance of x or var(x), we follow the formula below:

In this case, the given standard deviation is 72 and the sample size is 216. Therefore, we have:

One of the properties of the Sampling Distribution of the Mean is that the sampling distribution of the mean is approximately normally distributed so long as the sample size is 30 or higher. Our sample mean here is 346 with a sample standard deviation of √24 or 4.899.

How likely is it to observe a sample mean number of sags per week that exceeds 390?

For this one, we have this formula to use:

Our bar "x" is 390. The "myu" symbol is our population mean which is 346. This σ symbol is the population standard deviation 72 and n is our sample size = 216.

Under a normal curve, the areas defined are between z = -3.5 to z = +3.5. Since our z should exceed > 8.98 and thus far greater than +3.5, then we can say that the probability of having a sample mean that exceeds 390 is zero.

Step-by-step explanation:

the answers is attached

hope it helps

The circumcenter must have equal distance between center and veriter

Adding fractions

To add two fractions, you have to make sure that the numbers in the denominator are the same.

For the fractions

The denominators are different, you have to look for a common factor between 2 and 5, the quickest way is to multiply them, you know that 10 is both a multiple of 2 and of 5.

Multiply 1/2 by 5 to obtain the equivalent expressed in tenths and multiply 2/5 by 2 to obtain the equivalent fraction in tenths

Now that both fractions have the same denominator you can add them

Subtracting Fractions

You must apply the same procedure when subtracting two different fractions. First find a common factor so that the denominator is the same for both fractions:

As before, the common factor is 10, so the equivalent fractions will be:

Dividing fractions

To divide two fractions you have to do the following steps.

1- Invert the fraction that corresponds to the denominator of the division, i.e. the one you want to divide for (the second one).

This is called a reciprocal fraction.

2-Multiply the first fraction, the one you want to divide by the reciprocal fraction.

3-If possible, simplify the result.

1-Invert the denominator of the division

2-Multiply the denominator by the reciprocal fraction

1/2 divided by 2/5 equals 5/4

She spent a total of $21 dollars.

The soda cost $3

Then, she bought 7 candy bars for x dollars

We set x because we don't know the price

3 + 7x = 21

Solve the equation for x

Subtract both sides by 3

3-3 + 7x = 21 -3

7x = 18

Divide both sides by 7

7x/7 = 18/7

x= 2.571

Each candy bar cost 2.57 aprox

Answer:

0.026, 8.062, 8.26, 8.6

Step-by-step explanation:

Hope this helps!

Btw, pls give brainliest, thanks!

Answer:

0.026, 8.062, 8.26, 8.6

Given a table represents the number of eggs that hatched at 3 different temperature:

The total number of eggs = 14 + 11 = 25

There are just 25 eggs in each time to make the experiment

The number of eggs was not hatched at room temperature = 11

so, the percentage will be =

So, the answer will be = 44

Using a system of equations, it is found that Sheldon's number is of 37.

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of the problem.

For this problem, we have to consider that:

The sum of these numbers is given by:

x + x + 1 = 2x + 1 (combining the like terms).

The sum is equals to 75, hence we can solve for the natural number x as follows:

2x + 1 = 75

2x = 74

x =74/2

x = 37. (which is Sheldon's natural number).

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The Sam's rate is 10.35 miles per hours.

What is miles per hour?

In mathematics, miles per hour is the unit for the speed measurement. It is used for the calculation of the speed of the train or people or any another objects. It can be calculated by dividing the distance with time.

According to the question, the given data states that the Sam ran 63,756 feet in 70 minutes.

Distance = 63,756 feet and Time = 70 minutes

And the given conversion is: 5280 feet = 1 miles

Therefore, Sam's rate or speed in miles per hour is as written below:

Speed = Distance/Time

Speed = (63,756/70) x (1/5280) x 60 = 10.35 miles per hours

Hence, the Sam's rate is 10.35 miles per hours.

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The combined length is 9 feet 11 inches

What is length?

Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. Height, sometimes known as vertical length or vertical extent, and width, breadth, or depth are all words used to describe the length of a stationary object. When length is the greatest dimension, width or breadth generally relate to a lesser dimension.

Given, length of a box = 3 feet 5 inches

length of another box = 2 feet 8 inches

length of microwave = 3 feet 10 inches

Total length = 3 feet 5 inches + 2 feet 8 inches + 3 feet 10 inches

                    = 9 feet 11 inches

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Normally, by order of operations, we simplify what's in the parenthesis first. However, since we don't know the value of x, it is already simplified. So we use the distributive property to distribute -4 to the binomial.

-4(x - 2)
(-4 × x) + (-4 x -2)
-4x + 8

Answer:

-4x+8

Step-by-step explanation:

-4×(x)=-4x

-4×-2=8

Answer:

the answer of the question is

y= 2x+6

Explanation:

The total number of students in the algebra class is given below as

The number of girsl who won a graphing calculator is given below as

Concept:

To figure out the probabaility that a randomly chosen student will be a girl and own a graphing calculator, we will use the formula below

By substituting the values, we will have

Hence,

The final answer is

The FOUTH OPTION is the correct answer

1.The outlier affect the Min = 0 for the minimum

2. the outlier affect the median is 2

Q₁ = 0  Q₃ = 3  Maximum Max = 8

The middle value in a sorted data set is known as the median. 

what is more about?

Think of your sorted data as being

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8

1.Min = 0 for the minimum

The median

The middle value in a sorted data set is known as the median. 

2.Since there are 25 items,

the 13th item is the median.

median is 2

3. The median of the data set's lower half is the first quartile, or Q1.

Between 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, the median is 0.

Q₁ = 0

Pretend that your s

4.Third quartile

The top half of the data set's median is Q3.

2, 2, 2, 2, 2, 3, 3, 3, 4, 5, and 8 have a median value of 3 each.

Q₃ = 3

5. Maximum Max = 8

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You have the next diagram:

R=10+5=15

B=5+8=13

R∩B=5

U=49+5+8+10=72

The number of fruits that are not reds is those that are outside of the set R: 57

The number of fruits that are berries is those that are in the set B: 13

The number of fruits that are red berries is those that are in set R and in set B: 5

The number of fruits that are not red and not berries is those that are outside the sets R and outside the set B: 49

ANSWER

D 3/4 = 8/6

EXPLANATION

For the ratios to be proportional, the fraction on the left hand side must be equivalent to the one on the right hand side.

So, for each of them, we will check if the values are the same.

a) 3/4 = 6/8

Simplifying 6/8 by dividing numerator and denominator by 2 yields:

3/4 = 3/4

The ratio is proportional.

b) 3/6 = 4/8

Simplifying both sides yields:

1/2 = 1/2

The ratio is proportional.

c) 4/3 = 8/6

Simplifying 8/6 by dividing numerator and denominator by 2 yields:

4/3 = 4/3

The ratio is proportional.

d) 3/4 = 8/6

Simplifying 8/6 by dividing numerator and denominator by 2 yields:

3/4 = 4/3

Because the two fractions are not equal, the ratio is not proportional.

The answer is D.

In elimination method one equation is multiplied by the negative coefficient of the other

so then in this case y have coefficient 3, the other equation have coefficient y is 1 . Then divide 3/1 = 3 and change sign ,gives -3.

Then the final answer is -3, option c)

The slope is 1

Choose the points (2, -3) and (4, -1)

The slope is:

To find the percent we are looking for we can use the rule of three:

then:

This means that 51 is 85% of 60.

Therefore 51 is 15% less than 60.

To multiply them, we will multiply the coefficient 5 and 6

5 * 6 = 30

for x we will add their power to multiply them

We will multiply 6 by 1/2

6 * 1/2 = 3

Then add the power of x

For this case we have two points given:

(-4, -4) and (-4,4)

The third vertex for this case would be:

(4,-4)

And then the resulting base would be:

d= 4+4 = 8

correct answer:

8 units

Answer:

138 degrees

Explanation:

Two angles are said to be Supplementary if they add up to 180 degrees.

Given that Angles A and B are supplementary and:

Therefore:

Therefore, the measure of angle B will be:

The measure of angle B is 138 degrees.

Using equivalent angles, the correct options are given as follows:

Negative 25 degrees is on the fourth quadrant, with the positive angle measure being given by:

360 - 25 = 335º.

The equivalent angle on the first quadrant is of 360º - 335º = 25º, and the cosine on the first quadrant is positive, just like in the fourth, hence:

cos(-25°) = cos(25º).

The positive angle measure is given as follows:

360 - 136 = 224º.

Which is on the third quadrant, in which both the sine and the cosine are negative.

The equivalent angle on the first quadrant is given as follows:

224º - 180º = 44º.

Hence the expression is:

sin(-136º) = -sin(44º).

The positive angle measure is given as follows:

360 - 212 = 148º.

Which is on the second quadrant, in which the tangent is negative.

The equivalent angle on the first quadrant is given as follows:

180º - 148º = 32º.

Hence the expression is:

tan(-212º) = -tan(32º).

The positive angle is given as follows:

360 - 315 = 45º.

Which is already on the first quadrant, hence the expression is given as follows:

cot(-315º) = cot(45º).

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Given:

The function is,

Explanation:

For x-intercept of the function f(x) = 0. So

Solve the equation for x.

So x-intercept of the function is x = -3.

Answer: x = -3

Option C is correct

It is observed about the segments that the two triangles are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

What is segment?

In mathematics, the line segment is one of the part of the straight line. It has two endpoints which can be used to calculate the length of the respective segment. It is measured in different units called as meter, centimeter, etc.

According to the question, the given data for the line segment is as follows:

DD' = 58.4 cm; EE' = 58.4 cm;  FF' = 58.4 cm

All three segments are equal in length.

In this, the ΔDEF and ΔD'E'F' are equal from angle as well as length sides. And the relationship between two triangles and their vertex state that they are forming two congruent Polygon shapes as well as generating a segment between them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles.

Therefore, it is observed about the segments that connect corresponding vertices that the two triangles are congruent and its corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

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It is given that there are two quantities 978cm and 12 m.

The units are different so convert in same units.

It is known that 1m=100cm

So 12m=1200cm.

Since 1200>978 so it follows

1200cm>978cm.

so 12m>978cm.

Hence 12 meters is greater than 978cm.

Answer: the answer is B or the second option /note b and the second option are the same thing

Step-by-step explanation:

n/a

Answer: The second one

Step-by-step explanation:

You have to go down 3 boxes, and go 6 boxes to the right in order to correlate with the same letter

To solve, we use the order of operations PEMDAS, where

P = Parenthesis

E = Exponets

M = Multiplication

D = Division

A = Addition

S = Subtraction

State the expression to be simplified:

Possibility 1

Expanding the parenthesis:

Multiplying then subtracting,

Therefore, the answer is 204.

Possibility 2

Expanding parenthesis:

Multiplying:

Dividing then subtracting:

Therefore, the answer is -179.998.

Possibility 3

Expanding parenthesis:

Multiplying:

Further expanding the parenthesis then dividing:

Therefore, the answer is 0.0018.

Answer:

[tex]y < \frac{5}{3} x - 3 \\ [/tex]

Step-by-step explanation:

- General linear equation of a line passing through point (x, y) with a gradient m and y-intercept (0, c) is ;

[tex]{ \rm{y = mx + c}}[/tex]

- As finding gradient, m; consider points (0, -3) and (3, 2) from the graph;

[tex]{ \rm{slope \: m = \frac{2 - ( - 3)}{3 - 0} }} \\ \\ { \rm{m = \frac{5}{3} }}[/tex]

- Then our equation becomes y = 5/3x + c

- Consider point (0, -3), relate it with (0, c) hence c is -3;

[tex]{ \rm{y = \frac{5}{3}x - 3 }}[/tex]

- If you see the format of the coordinates, x coordinates are greater than y coordinates, hence y < x

[tex]{ \rm{y < \frac{5}{3}x - 3 }} \\ [/tex]

Answer:

[tex]y < \dfrac{5}{3}x-3[/tex]

Step-by-step explanation:

All given answer options have the same linear equation:

[tex]y=\dfrac{5}{3}x-3[/tex]

Therefore, there is no need to work out the equation of the line for this question as it is already given.

When graphing inequalities:

From inspection of the graph there is:

Therefore, the inequality that is represented by the graph is:

[tex]y < \dfrac{5}{3}x-3[/tex]