a fund drive announces that it has raised 4376 which is 20% of its goal. How much more must be raised?

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Given: g ∥ h and ∠2 ≅ ∠3

    Statements                               Reasons

1. g || h                               1. given

2. ∠1 ≅ ∠2                               2.corresponding angles theorem

3. ∠2 ≅ ∠3                               3. given

4. ∠1 ≅ ∠3                                4. transitive property

5. e || f                                      5. Converse alternate interior angles.

As we know that if alternate angles are equal then two lines would be parallel using converse alternate interior angles.

Hence, Option 'D' is correct.

Answer:

d. converse alternate interior angles theorem

Step-by-step explanation:

Answer:

the answer is D!

Step-by-step explanation:

Answer:

brain

consciousness

memory

Answer:              

The answer is capitalism.      

Step-by-step explanation:              

Capitalism is friendliest to entrepreneurs and market economies also rely on capitalism. This is because capitalism and free enterprise helps to create a marketplace where producers and consumers are free to sell and buy what they choose.                

In the proportion a/b = c/d, if this is true then the product of the extremes (a*d) is equal to the product of the means (b*c). Any statement that contradicts this property is considered false.

Looking at the given condition, a/b = c/d, it represents a proportion or a statement of equality between two fractions. Within this proportion, `a` and `d` are referred to as the extremes, while `b` and `c` are known as the means.

If the proportion is true, meaning it accurately reflects a relationship of equality between two ratios, several properties become applicable. Importantly, the product of the means equals the product of the extremes. In other words, in a valid proportion, `a*d` is equal to `b*c`.

Consequently, if any statement contradicts these properties, it is false. So, without knowing the specific statements to analyze here, we cannot accurately decide on the false one. Always remember, you need to comply with the stated properties of a proportion in mathematical contexts.

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The mean of the combined group is 71.78.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.

Let the total sum of the scores of the first class of 36 students be ∑x.

Here, the mean is 75.2 .

⇒  ∑x/36 = 75.2

⇒ ∑x = (75.2)(36)

⇒ ∑x = 2707.2

Also, let the total sum of the scores of the second class of 28 students be ∑y.

Here, the mean is 67.4.

⇒ ∑y/28 = 67.4

⇒ ∑y = (67.4)(28)

⇒ ∑y = 1887.2

The total students in combined group = 36+28 =64

The sum of their scores =  ∑x + ∑y = 2707.2  + 1887.2 = 4594.4

The mean of the combined group = (∑x + ∑y)/64

The mean of the combined group = 4594.4/64 = 71.78

Learn more about the arithmetic means here:

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To find the mean of the combined group of two classes, calculate the total sum of scores of each class, combine them, and then divide by the total number of students. The mean of the combined group is approximately 71.8.

To calculate the mean of the combined groups of students, you can use the total sum of scores from both classes divided by the total number of students. The first class has 36 students with a mean score of 75.2, and the second class has 28 students with a mean score of 67.4.

First, find the total sum of scores for each class:

Next, combine the total sums and the number of students:

Finally, divide the combined total sum by the combined number of students to find the mean:

Mean of combined group = 4594.4 / 64 = 71.7875

Therefore, the mean of the combined group is approximately 71.8.

To solve the given equation [tex] P=hr(1-d) [/tex]

By using the distributive property "a(b+c)=ab+ac"

[tex] P=hr-hrd [/tex]

[tex] hrd=hr-P [/tex]

[tex] d=\frac{hr-P}{hr} [/tex]

[tex] d=1-\frac{P}{hr} [/tex]

Therefore, [tex] d=1-\frac{P}{hr} [/tex] is the value of 'd'.

Final answer:

To provide 275 balloons when they are sold in packs of 2, the clown will need to purchase 138 packs, which will include one extra balloon as you cannot buy half a pack.

Explanation:

The clown needs 275 balloons for a party and they come in packs of 2. To find out how many packs of balloons the clown needs to buy, one must divide the total number of balloons by the number in each pack.

The calculation is as follows:

Since packs cannot be purchased in halves, the clown will need to buy 138 packs to have enough balloons, understanding that this means having one extra balloon.

Answer:

5+3.7⋅d=42

Welcome!

A ship's navigator can keep the ship in safe waters by staying outside the 300-degree arc between two lighthouses and using the beams as navigational guides. Additionally, in areas with water breaks, navigators should account for wave diffraction to determine the safest angles for mooring.

To navigate safely and avoid the unsafe waters near the coastline marked by the 300-degree arc between two lighthouses at points A and B, a ship's navigator should use both lighthouses as reference points for establishing a safe navigational path. Typically, lighthouses are equipped with rotating beams, which can serve as a guide to determine a ship's position relative to hazardous areas. If the ship maintains a course outside of the direct line of sight between the two lighthouses, it can stay within the safe waters.

The navigator should also consider wave action when near a coastline or harbor entrance. If any breakwater structure or water break exists, such as a rock barrier with an opening, the navigator would need to be mindful of the wave patterns. As waves enter the opening, they diffract, and boats are generally safest at angles where the wave intensity is minimized.

The farmer originally planted 15 apple trees.

Let's denote the original number of rows as [tex]\( r \)[/tex] and the original number of columns as [tex]\( c \).[/tex]

In the original arrangement, the total number of trees is [tex]\( r \times c \).[/tex]

If 5 more rows and 3 fewer columns are added, the new number of rows becomes [tex]\( r + 5 \)[/tex] and the new number of columns becomes [tex]\( c - 3 \).[/tex]

According to the given information, the new arrangement has 25 more trees than the original arrangement. So, we can set up the equation:

[tex]\[ (r + 5) \times (c - 3) = r \times c + 25 \][/tex]

Expanding the left side:

[tex]\[ r \times c + 5r - 3c - 15 = r \times c + 25 \][/tex]

Now, let's simplify:

[tex]\[ 5r - 3c - 15 = 25 \][/tex]

[tex]\[ 5r - 3c = 40 \][/tex]

Now, let's solve this equation to find the relationship between [tex]\( r \)[/tex] and [tex]\( c \).[/tex]

Given the information, let's make some assumptions about the number of rows and columns to fit the situation realistically.

Let's start with 1 row and 3 columns ( [tex]\( r = 1, c = 3 \)[/tex] ):

[tex]\[ 5(1) - 3(3) = 5 - 9 = -4 \][/tex]

It doesn't satisfy the condition.

Next, let's try 2 rows and 4 columns ( [tex]\( r = 2, c = 4 \)[/tex] ):

[tex]\[ 5(2) - 3(4) = 10 - 12 = -2 \][/tex]

Still doesn't satisfy the condition.

Next, let's try 3 rows and 5 columns ( [tex]\( r = 3, c = 5 \)[/tex] ):

[tex]\[ 5(3) - 3(5) = 15 - 15 = 0 \][/tex]

This satisfies the condition.

So, the original arrangement had 3 rows and 5 columns, and the total number of trees is [tex]\( 3 \times 5 = 15 \)[/tex].

ANSWER

[tex] (x + 6)(x - 6)[/tex]

EXPLANATION

The given expression is

[tex] {x}^{2} - 36[/tex]

We write to obtain;

[tex] {x}^{2} - {6}^{2} [/tex]

Recall that;

[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]

We apply this difference of squares formula to get;

[tex]{x}^{2} - {6}^{2} = (x - 6)(x + 6)[/tex]

The correct choice is A

Answer:

(x+6)(x-6)

Step-by-step explanation:

Answer:

D. b+b+3c and 2b+3c

Step-by-step explanation:

The question wants us to find out expressions is equivalent for any variable value greater than zero. So let's analyse all the possible answers to find the correct one.

A. (x+3) and 3x+ 2

If x = 1 , we have:

Both of the two sides are not equivalent

B. 4d+2e and 8d+e

If e=1 and d=1, we have:

Both of the two sides are not equivalent

C. f+f+f+g and 3fg

If f=1 and g=1, we have:

Both of the two sides are not equivalent

D. b+b+3c and 2b+3c

If b=1 and c=1, we have:

Both of the two sides are  equivalent

Or we will simplify the left side: b+b+3c = 2b+3c, hence 2b+3c = 2b+3c are apparent

So we choose D.

Answer:

Step 3 is wrong, he used the wrong circle

Step-by-step explanation:

To determine the minimum number of employees, solve the inequality 2/3 x > 36 to find x > 54. In Miguel's cookie choice, the events are dependent. According to the law of large numbers, probabilities stabilize as the number of trials increases.

The question involves solving and graphing an inequality to find the minimum number of employees in an office based on their preferences for soft cookies. Since two thirds prefer soft cookies and more than 36 employees stated their preference, we can write this as an inequality where x represents the total number of employees: 2/3 x > 36. To solve for x, we multiply both sides of the inequality by 3/2, giving us x > 54. This tells us that there must be more than 54 employees in the office.

To graph the inequality, we would draw a number line, plot a point just above 54, and shade to the right to indicate all the numbers that are greater than 54. The question of dependent probabilities relates to Miguel's cookie selection where each choice affects the next; the events are not independent. Finally, the law of large numbers indicates that as the number of trials n increases, the experimental probabilities tend to get closer to the theoretical probabilities.