* Two parallel lines never
intersect. But, can two lines that
intersect ever be parallel to the
same line?
Lines a and b intersect at point P.
A. Drag the points to rotate line
c so that it is parallel to line b.
Can you rotate line c so that it is
also parallel to line a at the same
time as line b?
Construct Transform

Answer:

(9,11)

(15,17)

(18,20)

Step-by-step explanation:

9-6=3

11-8=3

18-6=12

20-8=12

15-6=9

17-8=9

3*1=3

3*4=12

3*3=9

Answer:

zero

Step-by-step explanation:

What is slope?

Slope is a line that measure's how steep the line is.

How did i get zero as my answer

Since the line is y = 2, that means it is a horizontal line. Slope is defined as rise over run. Since it is horizontal, there is no rise, only a run, which is a constant, 2. Therefore, it is 0.

Hence, the solution to this problem is 0.

Answer:

Step-by-step explanation:

(X=the number)

2x+13=-21

(-21)-13=34

34x2=68

a) The fixed cost for ABC Company in the year 2003 was Br. 600,000.

b) The variable expense at the break-even point for 2003 was Br. 375,000.

The break-even point refers to the sales units or revenue at which the total sales revenue equals the total costs (variable and fixed).

At the break-even point, ABC Company does not generate any profit or incur a loss.

Sales price per unit = Br. 13

Variable cost per unit = Br. 5

Contribution margin per unit = Br. 8 (Br. 13 - Br. 5)

Contribution margin ratio = 0.6154 (Br. 8 ÷ Br. 13)

Sales revenue for 2003 = Br. 1,040,000

Sales units for 2003 = 80,000 units (Br. 1,040,000 ÷ Br. 13)

Break-even units for 2003 = 75,000 units (80,000 - 5,000)

Break-even sales revenue = Br. 975,000 (Br. 13 x 75,000)

Variable expense at the break-even point = Br. 375,000 (Br. 5 x 75,000)

Fixed expenses = Br. 600,000 (Br. 975,000 - Br. 375,000)

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This statement is false:

x - y = y - x

This is equivalent to write

This statement is true:

x - y ≠ y - x

Rearranging:

x + x ≠ y + y

Simplifying:

2x ≠ 2y

Dividing by 2:

x ≠ y

Every pair of different values x, y make the statement above true. So any pair of values of type x,x, or y,y is a good counterexample

x = 2, y=2

x = -1 y = -1

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

264sq feet

Step-by-step explanation:

because you only need to cover the top you multiply 22 x 12 to get 264 sq feet

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Answer:

Step-by-step explanation:

The null hypothesis is described as the default hypothesis while the alternative hypothesis us always tested against this null ie the opposite of the null hypothesis.

In this case study, Let the proportion of houses that have home security be p

Thus, the null hypothesis is proportion of houses that have home security is 45% : p = 45%

The alternative hypothesis is proportion of houses that have home security is different than 45%: p =/ 45%

Given:

When Dora divides the number between 500 and 600 by a 1 digit number gives the remainder 4.

Let x be the one-digit number that divides the number between 500 and 600. It gives the remainder 4.

It gives the remainder 4.

Therefore,

Answer:

Answer:

x = 24°

Step-by-step explanation:

If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.

Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".

∠EFH = 2x

∠JHG = 24°

∠GHF = x

∠EFH = ∠JHF                                  <----- Opposite interior angles are equal

∠EFH = ∠JHG + ∠GHF                   <----- Break ∠JHF into 2 angles

2x = 24 + x                                      <----- Insert values

x = 24                                             <----- Subtract x from both sides

The length of the arc is 1 unit.

The distance that runs through the curved line of the circle making up the arc is known as the arc length.

length of an arc is expressed as;

l = tetha/360 ×2πr

the circumference of circle is expressed as ;

C = 2πr

6 = 2×3.14 × r

r = 6/6.28

r = 0.955 units

Therefore length of the arc

= 60/360 × 6

since 2πr is the circumference,

l = 360/360 = 1 unit

therefore the length of the arc is 1 unit.

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In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x

What do you mean by direct variation?

Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

Given,

In a direct variation, y=9 when x=3.

Formulate an equation based on the conditions stated: y=kx

We put the value of the y and x in this equation

9=k*3

Subtract the coefficient of the variable from both sides of the equation

k= 3

We can write the equation of the function by putting the value of k:  y=3x

Hence the correct answer is y=3x

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The choice that had statements that are all true is (a) Point B = -2 1/2, Point D = 1 3/4 and 1 3/4 > -2 1/2

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The number line

On the number line, we have the following

A = -4

B = -2 1/2

C = 1

D = 1 3/4

When the above values are compared with the list of options, we have

Option (A) = true

This is so because in (a)

Point B = -2 1/2, Point D = 1 3/4 and 1 3/4 > -2 1/2

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0.25

______________________________________

Answer:

Step-by-step explanation:

3 cups of juice divided among 4 people

Using the point-slope form:

⇒ \((y-y0) = m(x-x0)\)

Which require one point (x0,y0) on the line and the slope (m)

Thus let us plug int the value

\((y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2\)

Thus the equation of the line is y = -2

Hope that helps!

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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Answer:

y/x^2=-2x+3

Step-by-step explanation:

Solution:

Given:

The graph of the function is shown;

1) x-intercepts

From the graph of the equation, there is no x-intercept because the curve does not cut the x-axis at any point.

2) Vertical asymptote

The vertical asymptote is the vertical line the curve tends towards but does not touch.

From the graph, the vertical asymptote is at x = 1.

3) Horizontal asymptote

The horizontal asymptote is the horizontal line the curve tends towards but does not touch.

From the graph, the horizontal asymptote is at y = 0.

4) Hole

To get the hole, we get the common factor.

Therefore, there are two holes.

A hole exists at (0,-9) which is where the y-intercept should be because the y-intercept usually exists at the point x = 0. Hence, there is a hole where the y-intercept should be. TRUE

Answer:

0.1492-0.1515= -0.0023

I think it is A... if the original is Red. It is reflected across the x-axis.

I hope this helps !

(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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Answer:

\(x=10\)

Step-by-step explanation:

Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).

Thus, we can set up the following proportion:

\(\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}\)

Answer:

10%

Explanation:

Use future value formula

Future Value =  Present Value ((1+r)^n)

26,600 =  20,000 ((1+r)^3

26,600/20,000 = (1+r)^3

1.33 = (1+r)^3

1.33^1/3 = 1+r

1.0997 = 1+r

1.0997 - 1 = r

r = 0.997 = 9.97% = 10% (rounded of to the nearest whole percentage)

(pls give brainliest)

The area should be 47.5 CM.

Answer:

Step-by-step explanation:

The figure you see here is a trapezoid.

Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm

Answer:

C.) Strong negative correlation

Step-by-step explanation: