What is the area of a rectangle with side lengths of 5 12 foot and 2 3 foot

      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

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Answer:

x=38

Step-by-step explanation:

hope this helps!

if angles are on a line like that, both equations added up together will always be equal to 180.

like this:

2x-10+3x = 180

5x-10=180 (combine)

5x=190 (subtract 10 on both sides)

x=38 (divide both sides by 5)

Answer: 12, 33% or 1/3

Step-by-step explanation: 33% is 1 3rd, half of 66% is 33%, so half of 8 is 4, so 8+4=12. There are 12 people in the crew.

We know that the man loses 16% of his weight, to find how much was that we just have to multiply his total weight by 0.16, like this:

lost weight = 0.16 * total weight, by replacing 200 lbs for total weight, we get:

lost weight = 0.16 * 200 = 32

Now we need to express 32 lbs in ounces, we can do this by multiplying the weight in pounds by 16, since 1 pound is equivalent to 16 ounces, then we get:

lost weight in ounces = 32 * 16 = 512

Then, the man lost 512 ounces

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

The most effective action that Fatimah can take to reduce the reservoir's amount of water loss is to install an evaporation control system.

What is amount?

Amount is a term used to refer to the quantity or magnitude of something, typically in financial or numerical terms. It can refer to physical items such as money, goods, or services, as well as abstract concepts such as time, distance, or energy. The amount of something is usually determined by measuring, counting, or weighing it.

Evaporation is a major source of water loss in arid regions, as the dry air quickly absorbs the moisture from the reservoir's surface. By installing an evaporation control system, Fatimah can reduce the amount of water lost to evaporation by using a variety of strategies. These strategies can include the use of an impermeable membrane to cover the reservoir's surface, the installation of windbreaks to reduce the speed of the wind over the water, and the use of chemicals to reduce the rate of evaporation. All of these strategies can be used to drastically reduce the amount of water lost to evaporation.

The installation of an evaporation control system can also be relatively inexpensive compared to other solutions. For instance, compared to installing a new water pump system or rerouting water to the reservoir, installing an evaporation control system can be done quickly and at a lower cost. This makes it a more suitable solution for Fatimah's limited budget.

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They have different y-intercepts but the same end behavior. Thus, option A is correct.

A step functiοn is  mathematical functiοn that takes οn finite number οf cοnstant values οver intervals οf its dοmain. It is alsο knοwn as staircase functiοn οr  piecewise cοnstant functiοn. The cοnstant values that  functiοn takes οn are οften referred tο as  "steps" οf the functiοn.

Tο graph the step functiοn, yοu wοuld start by drawing a cοοrdinate plane with the hοrizοntal axis ranging frοm -5 tο 5 and the vertical axis ranging frοm -2 tο 2. Then, yοu wοuld plοt the pοints (-5,-1), (-4,-1), (-3,0), (-2,1), (-1,1), (0,0), (1,1), (2,-1), (3,-1), (4,0), and (5,1) οn the graph.

They have different y-intercepts but the same end behavior.

They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6

But they have the same end behavior at 2.

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Complete question:

Function g is represented by the equation.

\(\rm g(x) = 4 (\frac14)^x + 2\)

Which statement correctly compares the two functions?

A. they have different Y-intercepts but the same end behavior

B. they have the same Y-intercept and the same end behavior

C. they have the same Y-intercept but different end behavior

D. they have different Y-intercepts and different end behavior

Answer:

  a) yes, 2, 1/2

  b) b = 2t; t = 1/2b

Step-by-step explanation:

a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...

  b = 2t

This is of the form required for a proportional relation: y = kx, with a value of k=2.

__

If we divide the above equation by 2 on both sides, we get ...

 1/2b = t

This is also a proportional relation, with a constant of proportionality of 1/2.

Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.

__

b) As we saw above, the equations can be ...

 b = 2t

  t = 1/2b

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

write the right question first your question is wrong

The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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Answer:

Hi! The answer would be 21.

Step-by-step explanation:

First, we must add.

\(15 + 14 = 29\)

29 is our first number. Bailey cannot evenly split the cookies into each bag with that amount of cookies, so we must move on to the next number.

\(10 + 9 + 2 = 21 \)

21 can be divided 3 times by 7. Now we know the least amount of cookies total, is 21.

Hope this helped!

The symbol which would replace the O and create an in equality with no solution is; > (greater than)

The two inequalities given according to the attached image are;

We are required to identify which symbol would replace the O and create an inequality with no solutions.

In essence, since the other inequality is; x<= 3.

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Answer:

41.93 degrees

Step-by-step explanation:

The length of the two tied strings on the number line would be between 96 and 97.

We first need to convert both the lengths of the strings to inches, since the knot's length is given in inches.

The first string is 3 3/4 feet long, which is equivalent to 45 inches (since 1 foot = 12 inches, and 3 3/4 feet = 45 inches).

The second string is 1 1/2 yards long, which is equivalent to 54 inches (since 1 yard = 36 inches, and 1 1/2 yards = 54 inches).

The total length of the two strings before the knot is tied is 45 inches + 54 inches = 99 inches.

Subtracting the length of the knot (2 1/2 inches) from the total length of the two strings gives us:

99 inches - 2 1/2 inches = 96 1/2 inches

Therefore, the length of the two tied strings on the number line would be between 96 and 97.

Since we know that the length is closer to 97 inches than 96 inches, we can mark the length at point 97 on the number line

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The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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find y=mx+b for line parallel to AB.

The line that is parallel will have the same slope as line AB:

the slope of line AB is

m=(8-3)/(-10-2)

=5/-12

=-5/12

Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).

at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.

To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so

4+4=8

0 is the correct answer;

2*0=0, and 0+3=3.

However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.

It has to be > not =

2

Step-by-step explanation:

because if you subtitute 2 for x you would get

2(2) +3>5

4+3=7

7>5

which makes the inequality true

Answer:

\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)

\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

\( n = 1019\) represent the sampel size

\( \hat p=0.6\) represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\). And the critical value would be given by:

\(z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96\)

The confidence interval for the mean is given by the following formula:  

\(\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)

Replacing the info given we got:

\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)

\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Answer:

(4n^2 + 1) (2n+1) (2n-1)

Step-by-step explanation:

use difference of squares

if my answer is correct, pls mark this is brainliest! thanks!

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 4n² and b=1.

(4n² + 1) (2n + 1) (2n − 1)

Answer:

$77

Step-by-step explanation:

The answer is $77 because first you need to find how much money was discounted by doing 70-49 to get 21. Then you need to find how much percent 21 is of 70 by doing 21/70, then you would get 0.3 which is 30% since you have to multiply it by 100. This means that there is a 30% discount. Then you would do 0.3*110=33. This means that the 30% discount takes away $33. So 110-33=77. The answer is $77.

Answer:

\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)

\(7 = - \frac{8}{3} ( - 3) + b\)

\(7 = 8 + b\)

\(b = - 1\)

\(y = - \frac{8}{3} x - 1\)

The y-intercept is -1.

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

Answer:

Step-by-step explanation:y<30 and x<15

Answer:

Step-by-step explanation:

eff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft

Answer:

The answer is B: 7.73 ft

Step-by-step explanation:

I was able to solve it by dividing 23.19 ft (Jeff's roof side length) by 3. BONUS: I got it right on the test! :D

Hope you like my answer!

The range of the starting salaries is 53,000

Given,

The box and whisker plot below shows the starting salaries

The number of graduates in a small college = 120

We have to find the range of the starting salaries;

Range of a data;

The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.

Here,

Lowest value = 19,000

Highest value = 72,000

Then,

Range of the set = 72,000 - 19,000 = 53,000

That is,

The range of the given data set is 53,000

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Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50