In the following diagram \overline{DE} \parallel \overline{FG}
DE
∥
FG
start overline, D, E, end overline, \parallel, start overline, F, G, end overline and \overline{KL} \perp \overline{FG}
KL
⊥
FG
start overline, K, L, end overline, \perp, start overline, F, G, end overline.
What is the measure of \greenD{\angle x}∠xstart color #1fab54, angle, x, end color #1fab54?
Angles are not necessarily drawn to scale.Given the following:

Answer:

The slope in this equation is 2x, so answer is 2.

Step-by-step explanation:

8x-4y-9=0

-8x -8x

-4y-9 = -8x

+9 +9

-4y = -8x+9

Divide by 4 on both side to have y by itself and you get

y = 2x - 9/4

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

The percentage of data items that lie below the z-score of 3 is 99.87%.

In a normal distribution, the z-score represents the number of standard deviations a particular data point is away from the mean. The table provided gives the percentiles corresponding to different z-scores.

To find the percentage of data items that lie below a z-score of 3, we can look up the corresponding percentile in the table. In this case, the percentile for a z-score of 3 is given as 99.87%.

This means that approximately 99.87% of the data items in a normal distribution are below a z-score of 3.

Similarly, to find the percentage of data items that lie above a z-score of 3, we can subtract the percentage below the z-score from 100%. In this case, it would be 100% - 99.87% = 0.13%.

This means that approximately 0.13% of the data items in a normal distribution are above a z-score of 3.

Thus, these percentages indicate the relative position of the data points within the distribution. It provides a measure of how extreme or rare a particular value is in comparison to the rest of the distribution.

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Answer:

20?

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:

\(2x + \frac{x}{2}=10\\\\\boxed{x=4}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Setting up an Equation...}}\\\\\text{"The sum of twice a number..."}} \rightarrow 2x+\\\\\text{"And half the number..."}\rightarrow \frac{x}{2}\\\\\text{"is 10"}\rightarrow = 10\\\\\\2x +\frac{x}{2}=10\)

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'x'...}}\\\\2x + \frac{x}{2}=10\\----------------------\\\rightarrow (2x + \frac{x}{2})2=10*2\\\\\rightarrow 4x + 2 = 20\\\\\rightarrow 5x = 20\\\\\rightarrow \frac{5x=20}{5}\\\\\boxed{x=4}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

half flyfkycoyfkgflycj hrxhrhddzg

Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

Answer: A. Linear

Step-by-step explanation:

check the slope between the moving points

slope between (–6, 4) & (–4, 0) = 1

slope between (-4, 0) & (–3, 4) = 1

slope between (-3, 4) & (-1, -7) = 1

the points are collinear and make an angle of 45 degrees with the x-axis

we can have an equation of a line passing through (-6, 4) and slope 1 as

(y + 1) = 1(x + 6)

y = x + 5 is your linear model mostly

2M + 12 = 3M - 31

Solving for M:

2m+12=3m-31------------------------------->given

12 = m -31----------------------------------->Subtraction POC

43 = m ---------------------------------------> addition POC

m = 43--------------------------------------> symmetric POC

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

c...........................

so we need to find D

By using the Trignometry function for the diagram

opp = 3 Adj = 2

QUESTION 2

To solve for AD

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Answer:

64 pounds of the $8.10 Mexican Shade Grown

36 pounds of the $14.10 Tanzanian

Step-by-step explanation:

8.1x + 14.1(100 - x) = 10.26(100)

Distribute

8.1x + 1410 - 14.1x = 1026

Combine like terms

1410 - 6x = 1026

Subtract 1410 from both sides

-6x = -384

Divide both sides by -6

x = 64 pounds of the $8.10

100 - x = 36 pounds of the $14.10

Answer:

11

Step-by-step explanation:

32.50-7.50=25

225/25=11

Answer:

its b

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

x + 12 ≤ 2x − 3 that's the answer

Answer:

Wheres the picture so show the measurements

Step-by-step explanation:

According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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The required change in the price is equal to 0.75 cents.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that, Isabel made the following graph to show the daily share

price for Company XYZ.

The price on Monday = 0.75

The price on Friday = 1.50

We need to find the change in price from Monday to Friday. It can be calculated as follows;

Change = 0.75 - 1.50

Change = 0.75 cents

therefore, the required change in the price is equal to 0.75 cents.

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Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer:

Δ\(=(-m)^2-4\) \(\bullet\left(-11\right) > 0\)\(\ ,the\ number\ of\ intersection:\) \(2,intersection:\) \(\left(\frac{m}{2}+\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m+\sqrt{44+m^2}\right)}{2}\right)\)\(,\left(\frac{m}{2}-\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m-\sqrt{44+m^2}\right)}{2}\right)\)

Step-by-step explanation:

\(Analyze\ the\ intersection\ of\ y=5-mx\ and\\)
\(x^2+y=16:\)

\(\downarrow\)

Δ\(=(-m)^2-4\bullet\left(-11\right) > 0\ ,the\ number\ of\)
\(intersection:\ 2,intersection:\)
\(\left(\frac{m}{2}+\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m+\sqrt{44+m^2}\right)}{2}\right),\)

\(\left(\frac{m}{2}-\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m-\sqrt{44+m^2}\right)}{2}\right)\)

I hope this helps you

:)

Answer:

21/7 and 72/12

Step-by-step explanation:

As the "?" are both at the numerator we just multiply by the denominator of the question mark (that is 1) so they remain the same.

The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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The average rate of change between t = 0 and t = 2 is 16 feet/second and the average rate of change between t = 1 and t = 2 is 8 feet/second.

The correct answer choice is option A and C respectively.

The average rate of change between t = 0 and t = 2

At t = 0

h(t) = -16t² + 40t + 6

= -16(0)² + 40(0) + 6

= 0 + 0 + 6

= 6 feet/second

At t = 2

h(t) = -16t² + 40t + 6

= -16(2)² + 40(2) + 6

= -16(4) + 80 + 6

= -64 + 80 + 6

= 22 feet/second

The average rate of change between t = 0 and t = 2 is

22 feet - 6 feet

= 16 feet/second

At t = 1

h(t) = -16t² + 40t + 6

= -16(1)² + 40(1) + 6

= -16 + 40 + 6

= 30 feet/second

Therefore,

The average rate of change between t = 1 and t = 2 is

30 feet - 22 feet

= 8 feet

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Answer:

hope they do help. in case of any questions feel free to ask.

Answer:

2.013  to 3 DP's.

Step-by-step explanation:

f(4.04)  will be very close to the tangent line.

Equation of tangent line

is y - 4 = m(x - 10)

m = (4-2) / (10-4) = 1/3

y - 4 = 1/3(x - 10)

y = 1/3x - 10/3 + 4

y = 1/3x + 2/3

So the require estimate of f(4.04)

= 1/3(4.04) + 2/3

= 2.013333

Answer:

He vaulted 170 inches

Step-by-step explanation:

To get the answer you take 14 and multiple by 12 because there are 12 inches in every foot when you multiple you get 168 then you add 2 because it says 2 inches then you are left with 170 inches

Hope this helped