EFGH is a parallelogram. Find the given side length. Please help

Answer:

-88 - 9f

Step-by-step explanation:

9(-9 + -f) + -7 = -81 - 9f - 7 = -88 - 9f

Answer:

The correct answer is -88-9f

Answer:

All

Step-by-step explanation:

The answer is 1, 2, 3

I, II, III

If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be (1,-2), (1,-7), (-3, -6), and (-3, -1).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Parallelogram JKLM has vertices J(2, 1), K(7, 1), L(6, −3), and M(1, −3).

If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be

J(2, 1) → (1, -2)

K(7, 1) → (1, -7)

L(6, −3) → (-3, -6)

M(1, −3) → (-3, -1).

To learn more about Coordinate geometry refer to:

brainly.com/question/1601567

#SPJ1

The statement "All seasons had the same level of variability in game scores" must be false.

To determine which statement must be true based on the mean game scores and standard deviations of four seasons of a football team, we need to analyze the data provided.

Given:

Season 2005: Mean = 193.5, Standard Deviation = 0

Season 2006: Mean = 212.8, Standard Deviation = 0

Season 2007: Mean = 121.0, Standard Deviation = 0

Season 2008: Mean = 94.0, Standard Deviation = 0

From the given data, we observe that all the standard deviations are zero. This indicates that there is no variation or spread in the game scores within each season. However, it is highly unlikely for a football team to have zero variation in game scores across multiple seasons.

Therefore, the statement "All seasons had the same level of variability in game scores" must be false.

Learn more about standard deviations here:

https://brainly.com/question/29115611

#SPJ11

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

Step-by-step explanation:

Store A:

6% of 1,200 is 72

72 + 1,200 = 1,272

Thus, store A has a total of 1,272

Store B:

7% of 1,350 is 94.5

94.5 + 1,350 = 1444.5

Thus, Store B has a total of 1444.5

1444.5 - 1,272 = 172.5

Thus, Store A is cheaper.

Answer:

sales tax- rate×original amount

A- 6/100(1200)=72

B- 7/100(1350)=94.5

After 35 minutes there will be 40 bacteria remaining.

The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.

For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,

\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)

Now, for the second situation,  Nt=40.  We have to find the time at which there will be 40 bacteria remaining. Then,

\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)

The answer is 35 minutes.

To know more about exponential decay:

https://brainly.com/question/27492127

#SPJ4

Answer:

Perimeter=110mm

Area=370mm²

Step-by-step explanation:

In Attached pictures

please give me brainliest if it help you

Answer:

you would do 16000 - 13920 and get 12080 and then dive 12080 by 16000 giving you .755 that would be how much is full and then subtract 1 and .755 to get B

Answer:

5.64 cm

Step-by-step explanation:

Required:How much more rain fell in Dubaku's town than in Elliot's town?

8 centimeters of rain fell in Dubaku's hometown

2.36 centimeters of rain fell in Elliot's hometown

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 cm.

Therefore, 5.64 cm of more rain fell in Dubaku's town than in Elliot's town.

Answer:

5.64

Step-by-step explanation:

Answer:

Given function:

This is a translation right and up:

The probability density function for a normal distribution N(68, 5) reaches its maximum height at x = 68, which is the mean of the distribution. The function does not touch the x-axis at μ±30.

The probability density function (PDF) for a normal distribution is bell-shaped and symmetrical around its mean. In this case, the mean (μ) is 68, and the standard deviation (σ) is 5.

(a) To find the x value at which the PDF reaches a maximum, we look at the mean of the distribution, which is 68. The PDF is highest at the mean, and as we move away from the mean in either direction, the height of the PDF decreases. Therefore, the x value at which f(x) reaches a maximum is x = 68.

(b) The PDF of a normal distribution does not touch the x-axis at μ±30. The x-axis represents the values of x, and the PDF represents the likelihood of those values occurring. In a normal distribution, the PDF is continuous and never touches the x-axis. However, the PDF becomes close to zero as the values move further away from the mean. Therefore, the probability of obtaining values μ±30, which are 38 and 98 in this case, is very low but not zero. So, the PDF does not touch the x-axis at μ±30, but the probability of obtaining values in that range is extremely small.

Learn more about probability density function here: https://brainly.com/question/31039386

#SPJ11

The first rider the displacement is, 17 km.

And the 2nd river the displacement is 20.22 km.

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

It is asked in this problem is who's displacement is greater (not distance) it means that the shortest distance of starting and ending point with direction from start and end.

Here we have two triangle with two arm know for both.

So we have to find the 3rd arm for both triangle.

Now we have for a right triangle

a^2 + b^2 = c^2

For other triangle we know the cosine law of triangle is,

a^2 + b^2 - 2ab cosθ = c^2

θ is the opposite angle of c

For the first rider the displacement is,

c = \(c = \sqrt{a^2 + b^2} = \sqrt{8^2 + 15^2} = 17 km\\\)

For the 2nd river the displacement is

\(c = \sqrt{a^2-b^2 -2abcosheta}\),  θ = 120°

\(c = \sqrt{8^2 + 15^2 - 2ab cos(120)} \\c = \sqrt{289 - 240cos(120)} \\c = \sqrt{289 - (-120)} \\c = \sqrt{289 + 120}\\ c = \sqrt{409} \\c = 20.22km\)

Hence, the first rider the displacement is, 17 km.

And  the 2nd river the displacement is 20.22 km.

To know more about right triangle, click on the link

https://brainly.com/question/2437195

#SPJ1

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

We have,

The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.

Geometrically,

It represents the distance of a point on the number line from point 2.

On the coordinate plane,

The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).

The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.

Thus,

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

When a distribution is bell shaped, the percentage of the data values which will fall within 1 standard deviation of the mean is= 68%  

What does standard deviation mean in plain English?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

                          Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

According to empirical rule, which is also  known as three-sigma rule or 68-95-99.7 rule, it is a rule of statistics which says that all observed data will fall within three standard deviations of the mean or average for a normal distribution.

1.68% falls within first standard deviation .

2.95% falls within the first two standard deviations.

3.99.7% falls within the first three standard deviations.

Therefore,

When a distribution is bell shaped, the percentage of the data values which will fall within 1 standard deviation of the mean is= 68%  

Learn more about standard deviations

brainly.com/question/23907081

#SPJ4

This is equivalent to 0.6 in decimal form

=====================================================

Explanation:

To find the slope, divide the rise over run

In this case, we have:

Therefore,

slope = rise/run = 6/10 = 3/5 = 0.6

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,

m = (- 8 + 2) / (- 3 - 7)

m = 6 / 10

m = 3/5

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ7

Answer: 2=14

Step-by-step explanation: multiply the same amount on both sides, in this case i multiplies by 2

The 4th proportional of the given ratio is 4/3. option C

The range of the data 112, 121, 184, 189, 177, 190 is 78. option A

It follows from the concept of proportions that the ratios can be represented as follows;

21 : 7 = 4 : 3a + 1

21/7 = 4 / (3a + 1)

cross product

21 × (3a + 1) = 4 × 7

63a + 21 = 28

subtract 21 from both sides

63a = 28 - 21

63a = 7

a = 7/63

a = 1/9

So,

3a + 1

= 3(1/9) + 1

= 3/9 + 1

= 1/3 + 1

= 1 ⅓

= 4/3

21 : 7 = 4 : 4/3

Range of the data:

112, 121, 184, 189, 177, 190

Recall, the range of a dataset is the difference between the maximum and minimum data values and hence, we have;

Range = Highest data value - Lowest data value

= 190 - 112

= 78

Therefore, the range of the given set of data is 78.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

Answer:

Step-by-step explanation:

Slope of a line = (y₂ - y₁)/(x₂ - x₁)

K'  = y₂ - y₁  ( for E & F)

L' = x₂ - x₁    ( for E & F)

=> Slope from E to F  = K'/L'

Two triangles are similar

=> K/K'  = L/L'  = DE/EF

=> K/K'  = L/L'

=> K/L = K'/L'

=>  K'/L' = K/L

Triangles are similar

K - L  = K' - L'

Sufficient information is not given but from picture it is clear that slope of line = 1

=> K = L    & K'  = L'

hence K - L = 0  & K' - L' = 0

=> K - L  = K' - L'

Answer: For the last Statement Answer is K/L = K/L

Answer:

Yes, -3 is a solution to the inequality.

Step-by-step explanation:

Plug -3 into the inequality.

3 - 4x ≤ 15

3 - 4(-3) ≤ 15

3 + 12 ≤ 15

15 ≤ 15

The resulting inequality is true, so -3 is a solution.

For conversion of cubic feet to cubic meters, you can use the following conversion factor:

1 cubic meter = 35.3147 cubic feet

So, to convert cubic feet to cubic meters, you can multiply the number of cubic feet by the conversion factor of 0.0283168 (which is the reciprocal of 35.3147):

Cubic meters = Cubic feet x 0.0283168

For example, if you have a volume of 100 cubic feet, you can convert it to cubic meters as follows:

Cubic meters = 100 cubic feet x 0.0283168 = 2.83168 cubic meters

Therefore, 100 cubic feet is equivalent to 2.83168 cubic meters.

Know more about unit conversions here:

https://brainly.com/question/28308386

#SPJ11

The value of the maximum angle opposite the side of length is, 90 degree.

We have to given that;

If the sides of a triangle are 3, 4, 5.

Now, We have;

By using Pythagoras theorem as;

⇒ 5² = 3² + 4²

⇒ 25 = 9 + 16

⇒ 25 = 25

Thus, It satisfy the Pythagoras theorem.

Hence, The value of the maximum angle opposite the side of length is, 90 degree.

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

A rule that makes a particular cell is highlighted in yellow only if the value it contains is less than $5000 is an example of conditional formatting.

This is a special feature that can be found in programs such as excel and allows users to automatically apply specific changes or formatting to cells that meet specific criteria.

There are four main types:

In the case of the formatting described, this can be classified as conditional formatting because all cells that meet the criteria (less than $5000) will be automatically highlighted in yellow. Moreover, the type of formatting is a change in the color of the cell.

Learn more about excel in: https://brainly.com/question/23567635

#SPJ4

The Relative speed is 2 miles per hour (Kelly's speed minus Ava's speed), it will take 3/8 of an hour (or 22.5 minutes) for Ava and Kelly to be 3/4 mile apart.

To determine Ava and Kelly will be 3/4 mile apart, we can set up an equation based on their relative speeds. Since they are running in the same direction, the rate at which they are getting farther apart is the difference between their speeds, which is 8 - 6 = 2 miles per hour.

Let's denote the time it takes for Ava and Kelly to be 3/4 mile apart as t. We can set up the following equation:

2t = 3/4

To solve for t, we divide both sides of the equation by 2:

t = (3/4) / 2

t = 3/8

Therefore, Ava and Kelly will be 3/4 mile apart after 3/8 of an hour, or 22.5 minutes. the relative speed is 2 miles per hour (Kelly's speed minus Ava's speed), it will take 3/8 of an hour (or 22.5 minutes) for Ava and Kelly to be 3/4 mile apart.

To know more about Relative speed.

https://brainly.com/question/19510605

#SPJ11

Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

There are 220 students at Marie's school :)