Daniela examines the two triangles below and determines Triangle D A C is similar to triangle T R S.

Triangle D A C. Angle D is 57.9 degrees and angle C is 67 degrees.
Triangle T R S. Angle R is 55.1 degrees and angle S is 67 degrees.

Which best describes the accuracy of Daniela’s solution?

Answer:

no...

8s -32 is the distributive property

Step-by-step explanation:

Answer:

∠ Q = 75°

Step-by-step explanation:

Since PR and PQ are equal then the triangle is isosceles, thus

the base angles R andQ are congruent

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 2x + 15 + 2x + 15 = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°

Open-ended questions allow for a wide range of responses and encourage the respondent to provide detailed and unrestricted answers. Closed-ended questions, on the other hand, provide a limited set of predetermined response options for the respondent to choose from.

Open-ended questions: Open-ended questions are designed to gather qualitative data and elicit more in-depth responses. They allow respondents to express their thoughts, opinions, and experiences in their own words. These questions do not limit the possible answers and provide the opportunity for the respondent to provide unique and individualized responses.

What do you think about the current situation of the economy, for instance?

Closed-ended questions: Closed-ended questions provide a fixed set of response options from which the respondent must choose. These questions are typically used to gather quantitative data and provide more structured and easily quantifiable answers. Closed-ended questions are useful when specific information or specific response options are required.

For instance, "Do you agree or disagree that the economy is in a good place right now?" (with response options: Agree/Disagree/Neutral)

In conclusion, open-ended questions allow for more diverse and subjective responses, providing richer qualitative data, while closed-ended questions provide limited response options and are more suitable for gathering quantitative data. The choice between open-ended and closed-ended questions depends on the research objectives, the type of data needed, and the level of flexibility desired in the responses.

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Answer:

y = 2

Step-by-step explanation:

y - 12 = -10

- Add 12 to both sides of the equation.

y = 2

Answer: yes

Step-by-step explanation: pi is 3.14(on and on)

see your answer in Pic

Answer:

A

Step-by-step explanation:

Answer:

Solutions below.

Step-by-step explanation:

This Question involves the concept of Function Substitution.

Function Substitution - As the name suggests, it is about substituting an input value (normally x) to find the value of y , or f(x) which is the range of the value.

Example: f(x) = 98x , f(2) = 98(2) = 196

We are given the following function:

\(p(t) = - 16 {t}^{2} + 1638\)

a) This part is asking us to find the height of the object when t = 2, which is the same as finding the value of P(2).

P(2) =

\( - 16 {(2)}^{2} + 1638 \\ = - 64 + 1638 \\ = 1574\)

Therefore at t = 2 seconds, the object is 1,574m above the river.

b) This part is asking us to find the height of the object when t = 6, which is the same as finding the value of P(6).

P(6) =

\( - 16 {(6)}^{2} + 1638 \\ = - 16(36) + 1638 \\ = - 576 + 1638 \\ = 1062\)

Therefore at t = 6 seconds, the object is 1,062m above the river.

Answer:

1.24 m

Step-by-step explanation:

F ∝ 1/d²

F = k/d²

Use values given to solve for k

0.006 = k/3²

k  = 0.054 (I multiplied both sides by 3² in the equation above)

New equation is F= 0.054/d²

Plug in your numbers so 0.035 = 0.054/d²

0.054/0.035 = d²

You can simplify if you want so d² = 54/35

Square root both sides to solve for d

√54/35 = 1.24 m

Answer:

the answer is B

Step-by-step explanation:

14+24=38

then

7+12=19

19 ×2 =38

Answer:

1

Step-by-step explanation:

Answer:

Fixed:

Rent

Car insurance

Car payment

Step-by-step explanation:

This is because they are not variable in the question and only give one value

The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

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Answer:

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Step-by-step explanation:

8 x (5 - 2) = ( _ x 5) - ( _ x 2)

Distribute

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Answer:

Step-by-step explanation:

Assuming that the giant sugar cube is a perfect cube, we can calculate its volume by using the formula:

Volume = edge length³

To find the edge length, we need to first calculate the amount of wood used per unit of volume, which is given by:

wood per unit volume = 213.5 m³ / 1 unit of volume

We don't know the unit of volume of the sugar cube, but we can use any consistent unit, such as meters, centimeters, or millimeters. Let's use meters for consistency with the given material amount.

Now, we can find the edge length by solving the following equation for x:

wood per unit volume = 213.5 m³ / x³

x³ = 213.5 m³ / wood per unit volume

x³ = 213.5 m³ / (213.5 m³ / 1 unit of volume)

x³ = 1 unit of volume

Therefore, the edge length of the giant sugar cube is 1 meter.

Finally, we can calculate the volume inside the giant sugar cube by using the formula:

Volume = edge length³

Volume = 1³ = 1 cubic meter

Therefore, the volume inside the giant sugar cube is 1 cubic meter.

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Average area of the cross section plane of the solid which lies between the two parallel planes is equal to 197.4square feet.

As given in the question,

Number of parallel planes = 2

Distance between two parallel planes = 22 feet

Volume of the solid is equal to 4343 cubic feet

Let 'x' be the average area of cross section of the solid lies between two parallel planes.

Average area of cross section of the solid lies between two parallel planes  = Volume of the solids / Distance between two parallel planes

⇒ x = 4343/22 square feet

⇒ x = 197.4 square feet

Therefore, the average area of the cross section of the solid lies between two parallel plane is equal to 197.4 square feet.

The complete question is:

A solid lies between two parallel planes 22 feet apart and has a volume of 4343 cubic feet. What is the average area of cross-sections of the solid by planes that lie between the given ones?

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Answer:

4C2 * 6C2 * 5C2

Step-by-step explanation:

White balls = 4

Yellow balls = 6

Red balls = 5

In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :

That means :

2 red balls from 5 red balls = 5C2

2 balls for 6 yellow balls = 6C2

2 balls from 4 white balls = 4C2

To obtain the number of possible combinations, take the product of the three combinations :

4C2 * 6C2 * 5C2

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

permutation is way of selecting and arranging things while combination is way of selecting things .

Given that  bag contains 4 white balls, 6 yellow balls, and 5 red balls

we have to select 6 balls

it's given that there must be 2 balls of each color

So here's how we can select them

2 white balls ,2 yellow balls and 2 red balls

So we have to select 2 white balls out of 4  white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls

so number of ways of selecting

\({4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}\)

\(=6\times15\times10\\\\=900\)

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

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Answer:

x=142

Step-by-step explanation:

so x and 142 equal eachother because they are alternate exterior angles!

set up the equation so we can solve for x

x=142

Answer:

Step-by-step explanation:

Alternate exterior angles are equal.

So, x = 142

option C

PLS MAKE ME AS THE BRAINLIEST ANSWER

Answer:

the answer would be 43 degrees.

Step-by-step explanation:

Answer:

105 inventions

Step-by-step explanation:

Find how many inventions Inventor B had by dividing 630 by 6:

630/6

= 105

So, Inventor B had 105 inventions

Answer:

105

Step-by-step explanation:

15 X 7 =105

105 is the least 3 digit multiple of 7.

12 X 7 = 84

84 + 7 = 91

91 + 7 = 98

98 + 7 = 105

or use multiplication 13 X 7= 91, 14 X 7=98

15 X 7 = 105

This is guess and check until the sum or product is a 3 digit number. It helps if you know the 7 times table at least through 7 X 12 = 84.

Answer:

4. 6.6

1. 9043

2. 0.52

Step-by-step explanation:

3+2.24+1.36=6.6

10000-957

1.3-0.78

Answer:

$270

Step-by-step explanation:

Its simply 45 times 6 months

Answer: 5,15,20,25,45

Step-by-step explanation:

1st is 20, 2nd is 25, 3rd is 15, 4th is 45, 5th is 5

Multiply the binomials (x+2) and (x+3) to find if they are the factors for x^2+3x+4:

Notice that (x+2)(x+3) are not the factors of x^2+3x+4.

Therefore, the answer is:

The number of infected Individuals by the 5th of March.

The general rule to describe the relationship between the dates of spread and the number of people infected with the coronavirus in South Africa is exponential growth. Exponential growth means that the number of infected people increases rapidly over time, with each day's increase being a multiple of the previous day's increase.

In the given table, we can observe that the number of infected people on each date is significantly higher than the previous day. For example, on the 1st of March, there were 10 infected people, and by the 2nd of March, the number jumped to 100. On the 3rd of March, it increased to 1000. Unfortunately, the table does not provide data for the 4th of March, but we can assume that the number of infected people would have continued to rise significantly.

Since the number of infected people is increasing exponentially, it is difficult to determine the exact number of people who could be infected on the 5th of March 2022, as it depends on various factors such as the transmission rate, containment measures, and population behavior. However, based on the trend shown in the table, we can expect a substantial increase in the number of infected individuals by the 5th of March.

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Answer:

23^a + 23^b

Step-by-step explanation:

You can't simplify this further because they are different variables.