4. What other information is needed to prove the two triangles similar? : Please step by step

Answer:

D

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

18-15=3

15-12=3

12-9=3

7

5

3

1

The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.

A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.

Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.

A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.

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The possible triangle orientations are given below -

The relation is that the sum of the two sides of the triangle is greater than the third side. Mathematically -

a + b > c

Given are the sides of a triangle as shown in the triangle.

{ 1 } -

2 yd , 7 yd , 8 yd

7 + 2 > 8

9 > 8    {true}

It forms a triangle.

{ 2 } -

1.5 cm, 2.3 cm, 3.8 cm

2.3 + 1.5 > 3.8

3.8 > 3.8    {false}

It does not form a triangle.

{ 3 } -

3 in. , 4 in. , 5in.

4 + 3 > 5

7 > 5  {true}

It forms a triangle.

{ 4 } -

5 m , 9 m , 14.5 m

9 + 5 > 14.5

14 > 14.5   {false}

It does not form a triangle.

{ 5 } -

14 ft , 15.8 ft , 33 ft

15.8 + 14 > 33

29.8 > 33    {false}

It does not form a triangle.

{ 6 } -

2.8 mm , 7.1 mm , 9.5 mm

7.1 + 2.8 > 9.5

9.9 > 9.5 {true}

It forms a triangle.

Therefore, the possible triangle orientations are given below -

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Answer:

Step-by-step explanation:

For every 4 boys there are 5 girls and 9 students at the school. So that means that 49 of the students are boys. 49 of the total number of students is 120 students:

49×?=120

If 49 the number of students is 120, then 14 of 120 is 19 of the total number of students. In other words, 14×120=30 is 19 the total number of students. Then 9 times this amount will give the total number of students:

9×30=270

So there is a total of 270 students at the school. Note that this is equivalent to finding the answer to the division problem:

120÷49=?

We can see all of this very succinctly by using a tape diagram:

Bar_diagram_67722d3e6005449e4fbe5c57eaad4f3c

There are 4 units of boys and 9 units of students. Therefore 4/9 of the students are boys.

4 units = 120

1 unit = 30

9 units = 270

There are 270 students altogether.

Students can multiply the numbers in the first row by 10 to get the second row, and then double that amount to get the third row. Adding the entries in the second and third row gives the fourth row that has the solution.

Alternatively, since 120÷4=30, students can just multiply the numbers in the first row by 30 to get the values in the fourth row.

In every row, we can see that the fraction of the students that are boys is 49.

looking at the last row, we can see that the total number of students will be 4×30+5×30=120+150=270.

Answer: $4.50

Step-by-step explanation:

6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change

Answer:

Step-by-step explanation:

Since Aiden paid only the admission price not the skate rental price soo..

3.50 for himself and 6*2 =12 for his friends

3.50+12=15.50

20-15.50 = 4.50  in change  :)

Answer:

15mph

Step-by-step explanation:

So to figure this out you have to get the total unit rate by dividing 30 and 2 which in total gives you 15

So congratulations you can ride 15 miles per hour :)

Answer:15 mph

Step-by-step explanation:

Answer:

3/7 chance or a 42.8% chance

Step-by-step explanation:

Answer:

Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.

If this was confusing, I am happy to help further!

Answer: 1620

Step-by-step explanation:

To solve the question, we would.use a geometric progression to solve the question. This is given as;

= ar^n-1

where

a = first term = 60

r = ratio = 180/60 = 3

4th term = ar^n-1 = ar^4-1 = ar^3

= 60 × 3^3

= 60 × 27

= 1620

Not performing qualitative tests in duplicate can introduce certain risks and potential issues:

False positives: Without duplicate testing, there is a higher risk of obtaining false positive results. False positives occur when a test incorrectly indicates the presence of a particular characteristic or condition. Duplicate testing helps verify the accuracy and reliability of the results, reducing the chances of false positives.

False negatives: Similarly, not performing qualitative tests in duplicate increases the risk of false negatives. False negatives occur when a test fails to detect a characteristic or condition that is actually present. Duplicate testing provides an additional opportunity to identify any missed detections and reduces the likelihood of false negatives.

Variability and uncertainty: Qualitative tests can be subject to variability due to factors such as sample preparation, test conditions, or interpretation. Duplicate testing helps assess the consistency and reproducibility of the results, providing a measure of confidence and reducing uncertainty.

Quality control issues: Duplicate testing is an essential component of quality control protocols. It helps ensure the reliability and accuracy of the testing process and minimizes the potential for errors or inconsistencies. Not performing duplicate tests can compromise the overall quality control procedures, leading to compromised data and unreliable conclusions.

Validation and reproducibility: Duplicate testing is often required for validation purposes and to demonstrate the reproducibility of results. It helps establish the robustness and reliability of the testing method. Without duplicate testing, it becomes more challenging to validate and reproduce the results, which can undermine the credibility of the findings.

In summary, not performing qualitative tests in duplicate increases the risks of false positives, false negatives, variability, uncertainty, quality control issues, and challenges in validation and reproducibility. Duplicate testing plays a crucial role in ensuring the accuracy, reliability, and validity of qualitative test results.

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Answer:

2(x+3)

Step-by-step explanation:

hope i help you :)

Answer:

X=3

Step-by-step explanation:

3 times 2 is 6.

The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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Answer:

see below

Step-by-step explanation:

a. Has a slope of 2 and passes through (10,17)

Using the slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation

17 = 2(10)+b

17 = 20+b

Subtract 20 from each side

17-20 =b

-3 =b

y = 2x-3

b. passes through (1,-4) and (2,-5)

First find the slope

m= (y2-y1)/(x2-x1)

   = (-5- -4)/(2-1)

  = (-5+4)/(2-1)

  = -1/1

  = -1

Using the slope intercept form

y = -x+b

Substitute a point into the equation

-4 = -1(1) +b

-4 = -1+b

Add 1 to each side

-3 = b

y = -x+3

He is actually asking for the exterior angle.

The inner angle is 41˚ 180-41=139˚

Answer: 63

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Given the relationship between the radius, r, of a sphere and its surface area, A expressed as;

r = 1/2( A /4 π )

We are to find the radius r when Area A is 64π

Substitute A = 64π  into the expression and get r as shown;

Recall that: r = 1/2( A /4 π )

r = 1/2( 64 π/4 π )

r = 1/2(16)

r = 16/2

r = 8units

Hence the radius of the sphere will be 8 units

Answer:

10.4880885 or 10.5

Step-by-step explanation:

The square root of 110 is a decimal ... 10.4880885

If we round up it will be 10.5

Answer:

10.488 to nearest thousandths

Step-by-step explanation:

If you mean using a calculator, sqrt(110) is approximately 10.488.

If you mean by hand (unlikely), there are methods such as Newton-Raphson method that converge quite quickly (after around 10 iterations it's basically no different than your calculator)

Answer:

C

Step-by-step explanation:

1 km = 100,000 cm

Answer:

1:100,000

Step-by-step explanation:

One km is 1000 times a meter and 100,000 times a cm.

Let's solve the problem step by step.According to the given data;Farmer Jones has x sheepFarmer Smith has 100 more sheep than Farmer Jones. Thus, Farmer Smith has x + 100 sheep.Farmer White has twice as many sheep as Farmer Jones. Thus, Farmer White has 2x sheep.The total number of sheep is 2500. So; x + x + 100 + 2x

= 25004x + 100

= 25004x

= 2500 - 1004x

= 2400x

= 2400/4x

= 600

Therefore, Farmer Jones has 600 sheep. Farmer Smith has 600 + 100 = 700 sheep.

Farmer White has 2(600) = 1200 sheep.

Therefore, there are 600 + 700 + 1200 = 2500 sheep.

The content describes the number of sheep owned by three farmers: Farmer Jones, Farmer Smith, and Farmer White. It provides the following information:

1. Farmer Jones has "x" number of sheep. The exact number of sheep owned by Farmer Jones is not specified.

2. Farmer Smith has 100 more sheep than Farmer Jones. This means Farmer Smith's sheep count is "x + 100."

3. Farmer White has twice as many sheep as Farmer Jones. Therefore, Farmer White's sheep count is "2x."

4. The total number of sheep owned by all three farmers combined is 2500.

So, to summarize:

- Farmer Jones: x sheep

- Farmer Smith: x + 100 sheep

- Farmer White: 2x sheep

- Total sheep count: x + (x + 100) + 2x = 2500

From this information, we can solve for the value of "x" and calculate the number of sheep each farmer owns.

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Considering the given information the number of sheep with the farmers will be:

Farmer Jones has 600 sheep.

Farmer Smith has 700 sheep.

Farmer White has 1200 sheep.

Let's suppose that the number of sheep Farmer Jones has is x

.Therefore, Farmer Smith has 100 more sheep than Farmer Jones has.

The number of sheep Farmer Smith has can be given by the equation:

              x + 100

Farmer White has twice as many sheep as Farmer J has.

Hence, the number of sheep Farmer White has is:

                               2 x

Now, the sum of the sheep Farmer Jones, Farmer Smith and Farmer White have is 2500.

Sheep Farmer Jones has = x

Sheep Farmer Smith has = x + 100

Sheep Farmer White has = 2x

Therefore,

x + x + 100 + 2x = 2500

4x + 100 = 2500

4x = 2500 - 100

4x = 2400

x = 2400/4

x = 600

Therefore, Farmer Jones has 600 sheep. Farmer Smith has 600 + 100 = 700 sheep. Farmer White has 2 * 600 = 1200 sheep.

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Answer:

There are 30 girls

Step-by-step explanation:

The ratio is 3:5 so (3)*(6)= 18 boys , and (5)*(6)=30

30+18=48 members

There were 30 girls in swim team.

We have,

Total Members = 48

Ratio of Boys to Girls= 3:5

So, the number of boys are

= 3/8 x 48

= 3 x 6

= 18

and, the number of girls

= 5/8 x 48

= 5 x 6

= 30

Thus, 30 girls were in swim team.

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Answer:

i dont see a question, sorry

Ghost Whistler has been successful for many years with a 29% share value which the advertiser wants to verify.

The probability that none of the households are tuned to Ghost Whistler is 0.2622. The probability that at least one household is tuned to Ghost Whistler is 0.7378. The probability that at most one household is tuned to Ghost Whistler is 0.4494. It does not appear that the 29% share value is wrong because the occurrence of at most one household tuned to Ghost Whistler is not unusual. The pilot survey sample size is too small to suggest that the 29% share value is wrong.

: Ghost Whistler has been successful for many years with a 29% share value which the advertiser wants to verify.

By conducting its own pilot survey of 14 households who have TV sets, probabilities of none, at least one, and at most one household tuned to Ghost Whistler were determined to be 0.2622, 0.7378, and 0.4494 respectively.

Ghost Whistler has been successful for many years with a 29% share value which the advertiser wants to verify.

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The amount of interest John will get after 12 years given his savings and interest rate is 1,680 Euros

Simple interest is a type of interest rate paid only on principal. It is called by multiplying principal by interest rate by time.

Simple interest = principal × rate × time

= 14,000 × 0.01 × 12

= 1,680 Euros

In conclusion, given John's savings and interest rate, he'll earn 1,680 Euros as interest after 12 years.

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Answer:

$4895

Step-by-step explanation:

P(winning) = 1 / 1000000 = 0.000001

P(not winning) = 1 - 1/1000000 = 0.999999

Winning amount = 4,900,000,000 - 5 = 4899999995

Amount lost = - 5

__ X: - 5 _________ 4899999995

P(X) : 0.999999 ___ 0.000001

Expected value E(x) = Σx * p(x)

E(x) = - 5(0.999999) + 4899999995(0.000001)

E(x) = - 4.999995 + 4899.999995

E(x) = 4895

Hence, expected value is 4895

Answer:

80%

Step-by-step explanation:

Not so sure about the answer, but hopefully it helps.