Gina read 120 pages in 4 days. Which reading rate is equivalent?

By HL congruence,  triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider the given triangles as ABC and DEF.

From the given triangles,

AC=DF=14 in.

BC=EF=20 in.

∠A=∠D=90°

The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By HL congruence, ΔABC ≅ ΔDEF

Therefore, option D is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

Answer: It would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

Step-by-step explanation: To calculate the break-even point, we need to determine the point at which the savings from the lower premium on Option 2 offset the higher deductible.

Option 1:

Annual Premium = $775

Deductible = $500

Option 2:

Annual Premium = $650

Deductible = $1000

Let x be the number of years without a claim.

For Option 1, the total cost over x years would be:

Total Cost = $775x + $500

For Option 2, the total cost over x years would be:

Total Cost = $650x + $1000

To find when the two options break even, we need to set these two equations equal to each other and solve for x:

775x + 500 = 650x + 1000

125x = 500

x = 4

Therefore, it would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

A producers can maximize their profit if:

By decreasing their marginal cost, producers can lower the amount it costs to produce each additional unit of their product which increases their profit margin. Keeping marginal revenues above marginal costs ensures they generate enough revenue to cover their costs and earning a profit.

While raising prices may increase marginal revenue in short term, it may lead to a decrease in demand which can lower profits. So, it is important for producers to find the right balance between cost and revenue management to maximize their profits.

Read more about profit maximization

brainly.com/question/28253283

#SPJ1

Answer:

She will have 12 pounds of cheese left

Step-by-step explanation:

Tina starts with 24 pounds , and uses 12 pounds .   24-12=12

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

3x + 2y = 5y + 2x -11

-3x                 -3x

2y = 5y -x -11

-5y   -5y

-3y = - x - 11 (divide by -3)

y = - x - 11/3

Answer:

19

Step-by-step explanation:

5%= 1

95%=19

The water is 95% of the total weight of watermelon. Multiply 95% by the total weight to get the weight of the water.

water = 95% × 20

water = 0.95 × 20

water = 19

The weight of the water is 19 lbs

The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.

We have,

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

As we know in the parallelogram, the diagonals bisect each other.

Then,

432 = 3x²

x² = 144

x = √144

x = 12

In the parallelogram, the adjacent opposite angles are the same.

∠C+∠B = 240°

= 360 - 240

∠A + ∠D = 120°

∠A = ∠D = 120°/2 = 60

∠D/2 = 60/2 = 3y + 60

3y + 60 = 30

3y = -30

y = -10

From the definition of the parallelogram, the provided figure is a parallelogram.

Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ1

complete question:

1. i dentify if the following figure is an examle of a parallelogram. show your solution.

2. is this given figure on the side a parallelogram of Not?(prove using the properties of parallelogram)​

Step-by-step explanation:

With the packaging of 8

48 cookies = 48 ÷ 8 = 6 boxes

With the packaging of 24

48 cookies = 48 ÷ 24 = 2 boxes

Answer:Hence the required probability is 3/8. Example 2: In an experiment, three coins are tossed simultaneously at random 250 times. It was found that three heads appeared 70 times, two heads appeared 55 times, one head appeared 75 times and no head appeared 50 times. find the probability of:

Step-by-step explanation:

Answer:

416.87, you subtract all from gross pay.

Step-by-step explanation:

546.54-66-21.86-33.89-7.92=416.87

Answer:

A. |12| > √80

B. √53 > |-5.3|

Step-by-step explanation:

A.  |12| > √80

The absolute value of 12 is 12, and the square root of 80 is 8.9442. This means the number sentence is true because it states that the absolute value of 12 is greater than the square root of 8.

B. √53 > |-5.3|

The square root of 53 is 7.2801 and the absolute value of -5.3 is 5.3. This means the number sentence is true because is states that the square root of 53 is greater than the absolute value of -5.3

have a nice day!

Answer:250

Step-by-step explanation:

Answer:

Line m and m is a straight line

Answer:

I might be wrong, but most likely diameter

Answer: The answer is the second one. Therefore, is RADIUS.

Answer:

Step-by-step explanation:

The quotient function for this problem is given as follows:

B. \(\left(\frac{f}{g}\right)(x) = \frac{\sqrt[3]{4x}}{6x + 1}, x \neq -\frac{1}{6}\)

The functions for this problem are given as follows:

For the quotient function, we just divide the two functions, hence:

\(\left(\frac{f}{g}\right)(x) = \frac{\sqrt[3]{4x}}{6x + 1}\)

The denominator cannot be zero, hence the value outside the domain in this problem is given as follows:

6x + 1 = 0

6x = -1

x = -1/6.

Hence option B is the correct option for this problem.

More can be learned about functions at https://brainly.com/question/10687170

#SPJ1

Answer: 0.14 is the answer

Step-by-step explanation:

At 356 degree Fahrenheit should Martha set her oven to make the cookies as per the recipe.

Given,

Cooking time of French cookie as per the recipe = 14 to 18 minutes

Temperature for baking French cookie in oven = 180 degree Celsius

Martha’s oven is of Fahrenheit.

So, we have to covert the temperature in Celsius to Fahrenheit.

Conversion of degree Celsius to degree Fahrenheit is:

(x° c × 9/5) + 32

x is the temperature in degree Celsius.

Here,

(180 x 9/5) + 32

= (180 x 1.8) + 32

= 324 + 32

= 356

That is, 180 degree Celsius is equal to 356 degree Fahrenheit.

So,

Martha should set her oven to make the cookies as per the recipe at 356 degree Fahrenheit.

Learn more about temperature here:

https://brainly.com/question/21451472

#SPJ1

The critical values for a 95% confidence interval using the chi-square distribution with 15 degrees of freedom are roughly 21.02 and 32.36.

The critical value for the 95% confidence interval using the 15 degrees of freedom chi-square distribution is the value that divides the distribution into two;

lower tail and upper tail. These values ​​are calculated such that the area under the curve of the chi-square distribution between the critical values ​​represents 95% of the total area under the curve.

To find critical values, you can use a chi-square table or a computer program that calculates critical values ​​for a given confidence level and degree of freedom.

In this case, the critical value for the 95% confidence interval with 15 degrees of freedom can be determined as follows:

Lower critical value:

The lower critical value is the value corresponding to the area under the chi-square distribution curve to the left of the value, equal to 2.5% (half of 5% not included in the confidence interval). Using a chi-square table or computer program, we can find that the lower critical value for the 95% confidence interval with 15 degrees of freedom is approximately 21.02. Upper critical value:

The upper critical value is the value corresponding to the area under the chi-square distribution curve to the right of the value, equal to 2.5% (half of 5% is not included in the confidence interval).

Read more about confidence interval on brainly.com/question/13850334

#SPJ4

Answer:

4294967296 Kilograms

Step-by-step explanation:

Great Pyramid has 2^21 blocks

2^21 = 2097152, so

2097152 blocks

Blocks weigh 2^11 each

2^11 - 2048, so

2048 kg per block

2097152(number of blocks) x 2048(weight in kilograms per block) = The Great Pyramid in Egypt weighs 4294967296 Kilograms

Step-by-step explanation:

More than 2,300,000 limestone and granite blocks were pushed, pulled, and dragged into place on the Great Pyramid. The average weight of a block is about 2.3 metric tons (2.5 tons).

How much is that? Well, you can think of it in terms of refrigerators. An average refrigerator weighs about 91 kg. If 1 metric ton = 1,000 kg, how many refrigerators equal a 2.3-metric ton block?

A 25 refrigerators

B 5 refrigerators

C 90 refrigerators

(hope this helps!)

To calculate the expected value of playing this game, we need to multiply the value of each possible outcome by its probability of occurring and then add these values together. In this case, there are 3 gold marbles, 7 silver marbles, and 28 black marbles in the bag, for a total of 38 marbles. So, the probability of selecting a gold marble is 3/38, the probability of selecting a silver marble is 7/38, and the probability of selecting a black marble is 28/38. The value of winning $3 if a gold marble is selected is $3 * (3/38) = $0.21. The value of winning $2 if a silver marble is selected is $2 * (7/38) = $0.37. And the value of losing $1 if a black marble is selected is -$1 * (28/38) = -$0.74. Adding these values together, we get $0.21 + $0.37 - $0.74 = -$0.16. Therefore, the expected value of playing this game is approximately -$0.16.

Answer:

24 ft

Step-by-step explanation:

to find the perimeter of rug is you have to add 9+9+3+3= 24

Answer:

= y + x - 4 = 0

Step-by-step explanation:

a slope or -1

The point = (0,4).

the equation =

\( \frac{y - y1}{x - x1} = m\)

y - 4 = -1

x - 0

note: Perform close multiplication

remember every whole number is over 1

y - 4 = - ( x - 0)

y - 4 = - x + 0

y + x - 4 = 0.

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)