HELP ME PLEASE,IM DOING A FINAL.

Applying the alternate exterior angles theorem, the value of x is: 22.

Angles that are formed outside of two parallel lines that are crossed by a transversal are said to be alternate exterior angles. Each lie alternatively along the transversal that intersects the two parallel lines.

According to the alternate exterior angles theorem any two angles that are alternate exterior angles have angle measures that are equal or congruent to each other.

The angles from the diagram, (5x - 5)° and (6x - 27)°, are alternate exterior angles.

Therefore:

(5x - 5)° = (6x - 27)° [alternate exterior angles theorem]

Solve for x

5x - 5 = 6x - 27

Add 5 to both sides

5x - 5 + 5 = 6x - 27 + 5 [addition property of equality]

5x = 6x - 22

Subtract 6x from both sides

5x - 6x = 6x - 22 - 6x [subtraction property of equality]

-x = -22

-x/-1 = -22/-1 [division property of equality]

x = 22

Therefore, applying the alternate exterior angles theorem, the value of x is: 22.

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9514 1404 393

Answer:

  29 1/8 yards

Step-by-step explanation:

If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.

Hence the total ...

  d + 41 3/4 + d

will be the length of the field between goal lines, 100 yards.

  2d +41 3/4 = 100

  2d = 58 1/4 . . . . . . subtract 41 3/4

  d = 29 1/8 . . . . . . . divide by 2

The referee was 29 1/8 yards from the nearest goal line.

Answer:

29 1/8

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

Answer:

slope = -3

Step-by-step explanation:

the slope is -3. This is because the equation of slope intercept form is y=mx+b, with m, being the slope. Thus, the slope of in the equation y=-3x+5 is -3.  

If you feel like it, would like if you can give brainliest :)

The number of unique cookout trays possible are 5,000.

Given data:

To calculate the number of unique cookout trays, consider the combinations of main items, sides, and drinks.

There are 10 options for the main item.

For the two sides, we have 10 options for the first side and 10 options for the second side.

For the drink, there are 5 options.

To find the total number of unique cookout trays, multiply the number of options for each category:

Total number of unique cookout trays = 10 (main items) * 10 (first side) * 10 (second side) * 5 (drinks)

= 5,000

Hence, there are 5,000 unique cookout trays possible with the given options for the main item, sides, and drinks.

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Answer:

B.(4,20)

Step-by-step explanation:

Given: \(x^2 -24x = -80\)

To solve the quadratic equation by completing the square, we follow these steps.

Step 1: Divide the coefficient of x by 2

\(-\dfrac{24}{2}=-12\)

Step 2: Square your result fro Step 1

\((-12)^2\)

Step 3: Add the result form step 2 to both sides of the equation

\(x^2 -24x+(-12)^2 = -80+(-12)^2\)

Step 4: Rewrite the Left hand side in the form \((x+k)^2\)

\((x-12)^2=-80+144\\(x-12)^2=64\)

Step 5: Take square roots of both sides

\(x-12=\pm \sqrt{64}\)

Step 6: Solve for x

\(x=12\pm \sqrt{64}\\=12\pm8\\x=12+8$ or x=12-8\\x=20 or x=4.\)

Therefore, the solution set of the equation is (4,20).

Answer:

1/3

Step-by-step explanation:

The numbers are 1, 2, 3, 4, 5, and 6.

Both 3 and 6 are multiples of 3.

So, 2/6 is the probability since there is an equal change that the arrow will land on each section.

This simplifies to 1/3.

Brainliest, please :)

Answer:

P (multiple of 3) =  \(\bf \frac{1}{3}\)

Step-by-step explanation:

Numbers on the spinner, ξ = {1, 2, 3, 4, 5, 6}    (6 elements)

Multiples of 3 = {3, 6}   (2 elements)

P (multiple of 3) = no. of multiples of 3 / total no. of numbers on spinner

                          =  \(\frac{2}{6}\)

                          =  \(\bf \frac{1}{3}\)

Answer:

x = 15,  45 degree angle

Step-by-step explanation:

2x + 15 and 6x - 45 adds up to 90 degrees

(2x + 15) + (6x - 45) = 90

combine like terms:

2x + 6x = 8x

15 + (-45) = -30

8x - 30 = 90

8x - 30 + 30 = 90 + 30

8x = 120

8x / 8 = 120 / 8

x = 15

2(15) + 15

30 + 15 = 45 degree angle

6(15) - 45

90 - 45 = 45

Answer:

x = 15.

Step-by-step explanation:

The figure is a square so opposite sides are congruent and parallel.

The 2 angles marked are interior alternate angles, so they are congruent.

Therefore:

2x + 15 = 6x - 45

15 + 45 = 6x - 2x

4x = 60

x = 15.

First, let us calculate the forecast for week 7. The naïve method (most recent value) is used to make the forecast. The most recent value is 15, so the forecast for the next week, which is week 7, is 15.

Using the naïve method as the forecast for the next week, the following measures of forecast accuracy are calculated.The given data is as follows:

Week 1 2 3 4 5 6Value 19 13 16 10 18 15.

Now we will calculate the Mean absolute error:

Mae = (19-13)+(13-16)+(16-10)+(10-18)+(18-15) / 5=6+3+6+8+3 / 5=6.4.

Therefore, the Mean absolute error is 6.4.

Mean squared error can be calculated as follows:

Mse = [(19-13)²+(13-16)²+(16-10)²+(10-18)²+(18-15)²] / 5=196 / 5=39.2.

Therefore, the Mean squared error is 39.2.

Now let us calculate Mean absolute percentage error:

Map = [ (6/19) + (3/13) + (6/16) + (8/10) + (3/18) ] / 5= 0.962.

Therefore, the Mean absolute percentage error is 0.96.

The forecast for week 7 is 15. Mean absolute error is 6.4. Mean squared error is 39.2. Mean absolute percentage error is 0.96.

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ANSWER:

A. 1

STEP-BY-STEP EXPLANATION:

A linear function is a polynomial function of the first degree, that is, a function of a variable, which can be written as follows:

Therefore, the correct answer would be:

Answer:

x= -6

Step-by-step explanation:

Answer:

m∠Y = 50°

Step-by-step explanation:

let 'm' = m∠Y

m∠S + m∠Y = 90 (complementary)

5m - 210 + m = 90

6m = 300

m = 50

Answer:

500 goats

Step-by-step explanation:

We know that 50 goats were marked.  If they were the only goats in the countryside, there would be a 100% chance that any goats found would be marked.  If a total of 100 goats were hanging around, we'd expect a 50% chance (50/100) of counting a marked goat.

But only 15 out of 150 goats were found.  Rephrased, 10% of the goats spotted were marked (15/150).  The total population must be a number such that the 50 marked goats have a 10% chance of being spotted.  A total of 500 goats (50/10%, or 50/0.1) must be present to account for the 10% rate.

Answer:

idon know the first point

Given:

a.) If the price of admission was $10, the attendance was about 1150 customers per day.

b.) When the price of admission was dropped to $6, attendance increased to about 1900 per day.

Let's generate the linear equation where:

x, y = p, A

m = slope

b = the y-intercept

We get,

Step 1: Let's determine the slope.

Step 2: Let's determine the y-intercept (b). Substitute p, A = 10, 1150 and m = -375/2 in A = mp + b

Step 3: Let's complete the equation. Substitute m = -375/2 and b = 3025 in A = mp + b

Therefore, the linear equation for the attendance in terms of the price, p, is:

Answer:

the length of RS to the nearest tenth of a foot is 240.6ft

Answer:

240.6

Step-by-step explanation:

Explanation:

We are asked to get the slope of the graph

To do so, we have to make use of the relationship:

From the graph given

We have the following points:

So we can obtain the slope as follow

Thus, the slope

Answer:

60°

Step-by-step explanation:

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The required formula for given transformation is  2√(x - 4) - 3.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

The formula for the function g(x) can be found by applying the transformations to f(x):

Shift down 3 units: g(x) = f(x) - 3

Shift left 4 units: g(x - 4) = f(x) - 3

So, the formula for g(x) is:

g(x) = f(x - 4) - 3

= 2√(x - 4) - 3.

Thus, required formula is 2√(x - 4) - 3.

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Answer:

10

Step-by-step explanation:

-3 = 7 - x

Add x to both sides

x -3 = 7 - x +x

x - 3 = 7

Now, add 3 to both sides

x - 3 + 3 = 7 + 3

x = 10

Answer:

\(\boxed{10}\)

Step-by-step explanation:

\(-3=7- \sf BLANK\)

\(\sf Subtract \ 7 \ from \ sides.\)

\(-3-7=-7+7- \sf BLANK\)

\(-10=- \sf BLANK\)

\(\sf Multiply \ both \ sides \ by \ -1.\)

\(-10(-1)=(-1)- \sf BLANK\)

\(10= \sf BLANK\)

Answer:  Yes, you can ignore the four on this one.  Since the shape is irregular, you have the separate them. The bigger box will be 54.  

Length(6) × Width(3) × Height(3)

Do the same for the smaller box = 3 × 1 × 2

The volume of this irregular shape will be 60.

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

The given system of equations is given as,z + 5x = 243x + 2z + 3y = 7-x + 2y = -9

To solve the given system of equations by using the Cramer's rule, we have to first represent the given system in matrix format.

             Matrix format: ⎡1 0 5⎤ ⎡x⎤ ⎡24⎤ ⎢0 3 2⎥ ⎢y⎥=⎢7⎥ ⎣-1 2 0⎦ ⎣z⎦ ⎣-9⎦

Using the formula for Cramer's rule, we know that,

                       x = Dx / D, y = Dy / D, z = Dz / D, whereD is the determinant of the coefficient matrix, Dx is the determinant of the matrix obtained by replacing the x column with the constant matrix, Dy is the determinant of the matrix obtained by replacing the y column with the constant matrix, and Dz is the determinant of the matrix obtained by replacing the z column with the constant matrix.

       Calculation of D: D = | A | = ⎡1 0 5⎤ ⎡0 3 2⎥ ⎣-1 2 0⎦

Applying the Laplace expansion along the first column, D = 1 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦| D = 6 Calculation of Dx: Dx = ⎡24 0 5⎤ ⎡3 2⎤ ⎢7 3 2⎥ ⎢-1 2⎥ ⎣-9 2 0⎦ ⎣2 0⎦

Applying the Laplace expansion along the first column, Dx = 24 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-9 2⎤| |⎣3 2⎦| |⎣3 2⎦| |⎣3 2⎦|

                          Dx = -18

Calculation of Dy: Dy = ⎡1 24 5⎤ ⎡0 2 2⎤ ⎢0 7 2⎥ ⎢-1 -1 0⎥ ⎣-1 -9 0⎦ ⎣2 0 0⎦

Applying the Laplace expansion along the second column, Dy = 0 |⎡1 5⎤| - 24 |⎡0 2⎤| + 5 |⎡0 2⎤| |⎣-1 0⎦| |⎣-1 0⎦| |⎣-1 0⎦|

                            Dy = 10

Calculation of Dz: Dz = ⎡1 0 24⎤ ⎡0 3 2⎥ ⎢0 3 7⎥ ⎢-1 2 -1⎥ ⎣-1 2 -9⎦ ⎣3 2 0⎦

Applying the Laplace expansion along the third column,

                              Dz = 24 |⎡3 2⎤| - 10 |⎡-1 2⎤| + 0 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦|

                         Dz = -24

Now we have the values of D, Dx, Dy and Dz.

Therefore, x = Dx / D, y = Dy / D, z = Dz / D,x = -18/6 = -3 y = 10/6 = 5/3 z = -24/6 = -4

Hence, the value of x, y, and z is (-3, 5/3, -4) respectively.

Therefore, the solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

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Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

0.0445L

Step-by-step explanation:

1L = 1000ml

so 44.5ml =44.5/1000 =0.0445L

Answer:

I think B

Step-by-step explanation:

I think

Answer:

The equation has no solution.

Step-by-step explanation:

\(2(3x - 8) = 8x - 2x - 8 \\ \\ 2 \times 3x - 2 \times 8 = 6x - 8 \\ \\ 6x - 16 = 6x - 8 \\ \\ 6x - 6x = 16 - 8 \\ \\ 0 = 8 \: (which \: is \: absurd) \\ \\ the \: equation \: has \: no \: solution \\ \)

The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned at the normal earning rate can be calculated thus :

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

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The total pay Tom earn for working 11 hours is £185

Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.

Given that he works for 11 hours, hence:

Pay for the first 7 hours = £15 × 7 hours = £105

Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80

Total pay = £80 + £105 = £185

Hence the total pay Tom earn for working 11 hours is £185

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The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

26d+70,000=m

Step-by-step explanation:

you're using a y=mx+b format

so the slope is 26 because she drives 26 miles every day (d), and she already has 70,000 miles on her car