Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof

the area of the triangle ABC is found by using the formula 1/2 * (base * height). Here, the base is 0 and the height is 1. Thus, the area of the triangle ABC = 0.5.

Let x = 0, y = 1 in 5x2y = 31

31 = 0

Thus, the point B is (0, 0).

The area of the triangle ABC = 1/2 * (0 * 1) + (0 * 1) + (1 * 0) = 0.5.

The equation of line L is given as 5x2y = 31. To find the point B, we need to substitute x = 0 in the equation. Doing so, we get 31 = 0, which means that the point B lies on the y-axis at (0, 0).

Next, since the line M is perpendicular to L and passes through A, we can assume that it is a horizontal line passing through (0, 1). Thus, the point C is the point of intersection of L and M, which is (1, 0).

Finally, the area of the triangle ABC is found by using the formula 1/2 * (base * height). Here, the base is 0 and the height is 1. Thus, the area of the triangle ABC = 0.5.

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for a binomial random variable x, it can only takes on two possible values, 0 or 1 is True

A binomial random variable is a discrete random variable, which means that it can only take on certain values, in this case 0 or 1. This means that the answer to the question is true. A binomial random variable is the sum of two independent Bernoulli random variables, where each Bernoulli random variable has a probability of success equal to the probability of success for the binomial random variable. This means that the binomial random variable is a summation of two Bernoulli random variables, and can only take on values of 0 or 1.

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Answer:

~8.5

Step-by-step explanation:

Knowledge Needed

Pythagorean Theorem:

[tex]a^2+b^2 = c^2[/tex]

Plug in 2 known values to solve.

Question

[tex]a^2+b^2 = c^2\\(8)^2 + (3)^2 = c^2[/tex]

64 + 9 = c^2

c^2 = 73

Find the square root of both sides.

[tex]\sqrt{c^2} = \sqrt{73}[/tex]

c = [tex]\sqrt{73}[/tex]

~8.5

Answer:

c = 8.5

Step-by-step explanation:

The Pythagorean theorem is

[tex]a^{2} +b^{2} =c^{2}[/tex]

Since we know a and be, we simply square them, then add those values together, and take the square root of the final value

[tex]8^{2} = 64[/tex]

[tex]3^{2} = 9[/tex]

[tex]64 + 9 = 73[/tex]

[tex]\sqrt{73} = 8.5[/tex]

c = 8.5

all squares are parallelogram but all parallelogram are not squares

Answer: B

Step-by-step explanation: TRUST

The horizontal component of the force vector is 260 pounds, and the vertical component is 150 pounds. (Option B).

To find the horizontal and vertical components of the force vector, we can use trigonometry. The horizontal component is the force acting in the direction parallel to the ground (x-axis), and the vertical component is the force acting in the direction perpendicular to the ground (y-axis).

Given that the force is 300 pounds and makes a 30° angle with the ground, we can calculate the components as follows:

Horizontal component (F_horizontal) = Force * cos(angle)

Vertical component (F_vertical) = Force * sin(angle)

Inserting in the values:

Horizontal component (F_horizontal) = 300 pounds * cos(30°)

Vertical component (F_vertical) = 300 pounds * sin(30°)

Now, let's calculate:

Horizontal component (F_horizontal) = 300 pounds * 0.866 (rounded to 3 decimal places, cos(30°) ≈ 0.866)

F_horizontal ≈ 259.8 pounds

Vertical component (F_vertical) = 300 pounds * 0.5 (rounded to 3 decimal places, sin(30°) ≈ 0.5)

F_vertical ≈ 150 pounds

Therefore, the required components of the force vector are approximately 260 pounds and 150 pounds.

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Answer:

1) 35.07

2) 123.6

3)3.9

4) 102.83

5)97.5

6)6.93

Answer:

The measure of each interior angle of a regular polygon with 7 sides is about 128.6.

Step-by-step explanation:

hope this helps

Answer:

To have 4 times as many apples as bananas, Amadou could have bought 4 apples for every 1 banana, or 8 apples for every 2 bananas, or 16 apples for every 4 bananas.

4 apples : 1 banana

8 apples : 2 bananas

16 apples : 4 bananas

We can use the fact that the total cost of the apples and bananas was $9 to determine the number of apples and bananas that Amadou bought. Since each apple costs $1, Amadou bought 9 apples if he bought no bananas, or 7 apples if he bought 2 bananas, or 5 apples if he bought 4 bananas.

9 apples : 0 bananas

7 apples : 2 bananas

5 apples : 4 bananas

Therefore, the possible combinations of apples and bananas that Amadou could have bought are 9 apples and 0 bananas, 7 apples and 2 bananas, or 5 apples and 4 bananas.

If the y-intercept is 4, the point version would be written as (0,4).

What is a point?

In classical geometry, a point may be a primitive notion that models a particular location in area, and has no length, width, or thickness. In trendy arithmetic, a point refers additional typically to a part of some set referred to as an area.

Main body:

As the y-intercept is 4 , so x intercept is 0 according to which the point becomes (0,4)

as x  =0 and y = 4.

hence ,  the point version would be written as (0,4).

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Answer:

c 5

Step-by-step explanation:

2=10

1=5

5+5=10

hope this helps by now

Answer:

Blue: 1/5

Step-by-step explanation:

To find the rate of change you use your slope formula which is y2-y1 over x2-x1.

You'd set your equation and you'd get 4-2 over 20-10. You solve and you get 2/10 and because it isn't one of the answer choices you have to simplify it. To simplify it you find the common number they both share and they both share 2 so you divide both by 2. 2 divided by 2 is 1 and 10 divide by 2 is 5. So then the rate of change or slope is 1/5.

To calculate the amount of commission that Nancy Bell earned last month, we can use the following formula:

Commission = Sales * Commission Rate

In this case, the sales are $59,400 and the commission rate is 14%, so the commission is:

Commission = $59,400 * 14% = $8,356

To calculate Nancy's gross pay, we can add her salary to her commission:

Gross Pay = Salary + Commission

Gross Pay = $1,710 + $8,356 = $10,066

Therefore, Nancy earned $8,356 in commission and her gross pay was $10,066.

The midrange for the data items in the given frequency distribution is 30.5.

Generally, To find the midrange for the data items in the given frequency distribution, we need to calculate the midpoint of each score range. The midpoint of a range is calculated by taking the average of the lower and upper bounds of the range.

For the first score range (29-30), the lower bound is 29 and the upper bound is 30, so the midpoint is (29 + 30) / 2 = 29.5.

For the second score range (30-31), the lower bound is 30 and the upper bound is 31, so the midpoint is (30 + 31) / 2 = 30.5.

Therefore, the midrange for the data items in the given frequency distribution is 30.5.

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Answer:

x=-4/3

Step-by-step explanation:

The logical statement [tex]$(a \wedge b) \rightarrow(b \vee c)$[/tex] is a tautology. Hence, Option B is the most appropriate answer to the given question.

A tautology is a logical statement where the conclusion is always equivalent to the premise. No matter what the individual parts are, the result is always a true statement; i.e. a tautology is always true. The opposite of tautology is either a contradiction or a fallacy.

a. let us check the first option.

[tex](a \vee b) \rightarrow(b \wedge c)=(a+b)^{\prime}+b c[/tex]

[tex](a \vee b) \rightarrow(b \wedge c)=a^{\prime} b^{\prime}+b c[/tex]

Therefore, [tex]$(a \vee b) \rightarrow(b \wedge c)$[/tex] is a contingency and not a tautology.

b. let us check the second option.

[tex](a \wedge b) \rightarrow(b \vee c)=a b \rightarrow b+c[/tex]

[tex](a \wedge b) \rightarrow(b \vee c)=(a b)^{\prime}+b+c[/tex]

[tex](a \wedge b) \rightarrow(b \vee c)=a^{\prime}+b^{\prime}+b+c[/tex]

[tex](a \wedge b) \rightarrow(b \vee c)=a^{\prime}+1+c[/tex]   (since, b' + b = 1)

[tex](a \wedge b) \rightarrow(b \vee c)=1.[/tex]

Therefore, [tex]$(a \wedge b) \rightarrow(b \vee c)$[/tex] is a tautology.

c. let us check the third option.

[tex](a \wedge b) \rightarrow(b \rightarrow c)=(a+b) \rightarrow\left(b^{\prime}+c\right)[/tex]

[tex](a \wedge b) \rightarrow(b \rightarrow c)=(a+b)^{\prime}+b^{\prime}+c[/tex]

[tex](a \wedge b) \rightarrow(b \rightarrow c)=a^{\prime} b^{\prime}+b^{\prime}+c[/tex]

[tex](a \wedge b) \rightarrow(b \rightarrow c)=b^{\prime}+c[/tex]

Therefore, [tex]$(a \wedge b) \rightarrow(b \rightarrow c)$[/tex] is contingency but not a tautology.

d. let us check the fourth option.

[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=\left(a^{\prime}+b\right) \rightarrow\left(b^{\prime}+c\right)[/tex]

[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=\left(a^{\prime}+b\right)+b^{\prime}+c[/tex]

[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=a b^{\prime}+b^{\prime}+c[/tex]

[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=b^{\prime}+c[/tex]

Therefore, [tex]$(a \rightarrow b) \rightarrow(b \rightarrow c)$[/tex] is contingency but not a tautology.

Hence, option B is the only example of tautology.

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The equilibrium price is 12 and the equilibrium quantity is 400.

It should be noted that on order to fund equilibrium price and quantity, we've to equate the quantity supplied and demanded. This will be:

Qd = 1060 - 55p

Qs = -200 + 50p

Qd = Qs

1060 - 55p = -200 + 50p

Collect like terms

-55p - 50p = -200 - 1060

-105p = -1260

Divide

p = 1260 / 105

p = 12

The equilibrium price is 12

Equilibrium quantity = -200 + 50p

= -200 + 50(12)

= -200 + 600

= 400

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Using the concept of ratios, there is 15 more blue balls

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

The ratio of white to blue balls is 3:5

The number of white bulbs is 45

let's calculate the number of blue balls to determine the total number of balls.

3 + 5 = 8;

(3 / 8) * x = 45

3x = 45 * 8

3x = 360

x = 360 / 3

x = 120

The total number of balls is 120.

The number of blue balls ;

5/8 * 120 = 75

To change ratio to 1 : 3 in respect to white and blue balls;

1 + 3 = 4

The number of blue balls can be calculated as;

3 /4 * 120 = 90

The number of blue balls now is 90 balls

There will be 90 - 75 =  15 balls

There's 15 more blue balls

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we often predict the probability of an event happening in the future based on how easily we can recall a similar type of event from the past. this is known as the  availability bias

When faced with an instant choice requirement, the availability heuristic enables people to make decisions fast. When you are trying to decide, a lot of connected incidents or circumstances could pop into your head right away. You can conclude that some events are more common or likely than others as a result.

You tend to overestimate the possibility and likelihood of similar situations happening in the future and give this information more weight. When you're attempting to decide or pass judgement on the world around you, this can be useful. Would you argue, for instance, that words in the English language that start with the letter t or with the letter k are more numerous?

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Therefore, in order for them to enjoy a party, they must be rewarded a minimum of 26 extra times.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced. An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

Given: Given: To reward her students for good behavior, Mrs. Morton fills a marble jar with three marbles.

if there are 24 marbles in the jar. When r denotes the quantity of additional rewards for the class, then the necessary equation is 24 + 3r 100.

If we can figure it out, we'll obtain the minimum number of marbles the jar holds—24.

In order to solve the problem, take 24 away from both sides.

=> 3r ≥100 -24

=> 3r  ≥76

=> r  ≥76/3

=> r ≥ 25.33

=> r≈ 26

Therefore, in order for them to enjoy a party, they must be rewarded a minimum of 26 extra times.

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Answer: 2280000000

Step-by-step explanation: Yes, I know it is a long number, but 10 cubed = 10 x 10 x 10, which simplified, would be 100 x 10, which is 1000. So, now you do 2.4 x 1000 to get 2400. Now you take that and multiply that by 9.5. Then, you do 10 to the 5th power, which is 100000. Now, you connect it all together, to get 2280000000. Hopefully, I did it right, if not I am sorry :/

Answer:

−3.5, −0.3, 0.6, 3.3

Step-by-step explanation:

This is because negative numbers are less than positive numbers, and numbers with a smaller absolute value are less than numbers with a larger absolute value. Therefore, the smallest number in the given list is −3.5, followed by −0.3, 0.6, and finally 3.3. When we put the numbers in this order, we get the correct order from least to greatest.

Answer: 27

Step-by-step explanation:

This is a proportion.

a = 5

b = 9

So A must equal 15. In order to get that we multiply by 3. Since we did that to A, we must also do it to B; that way we keep an equal proportion.

9 x 3 = 27

Answer: d = 0

Step-by-step explanation:

     To solve this equation, we will isolate the variable.

7.5d = 2.5d

(7.5d) - 2.5d = (2.5d) - 2.5d

5d = 0

[tex]\frac{5d}{5}[/tex] = [tex]\frac{0}{5}[/tex]

d = 0

     Elena is correct when she subtracts 2.5d from each side. Since subtraction is the inverse operation of addition, we need to subtract. 7.5d and 2.5 are both like terms, so we subtract the coefficents.

What would happen is the result would increase by a factor of 2. The result of dividing the fractions will be 4.

From the question, we are to determine what would happen if we divide by 2/5 instead of 4/5

That is,

We are to carry out the division operation

1 3/5 ÷ 2/5

Evaluating

1 3/5 ÷ 2/5

8/5 ÷ 2/5

8/5 × 5/2

= 8/2

= 4

The answer increased by a factor of 2.

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Answer: If your friends had 16 pizzas, the total amount of pizza sauce needed was 11/3 cups, How many pizzas could you create?

Step-by-step explanation: :D

Under the null hypothesis, the expected number of strongly opposed juniors is 50.

The term null hypothesis refers the typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

Here we have given that suppose we wish to test the null hypothesis that there is no association between student year in school and student opinion.

And we need to find under the null hypothesis, what is the expected number of strongly opposed juniors.

Here let us consider there are 100 students.

Then according to the given statement, there is no association between student year in school and student opinion.

Which refers that half of them are supported and half of them are opposed.

Therefore, the expected value is 50.

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Answer:

804.063 is the answer

Step-by-step explanation:

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There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5. The probability of Hoffman rolling a perfect game is 0.000779.

The probability of Hoffman rolling a perfect game is the sum of the probabilities of him rolling a strike in each of the 10 frames.

There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5.

To calculate the probability of Hoffman rolling a perfect game, we must multiply 0.5 by 10, which is equal to 0.5. This gives us a probability of 0.000779 or 0.000779 rounded to six decimal places.

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