In the following image, segment BD bisects segment AC, and three triangles are similar: AABC~ AADB~ ABDC. Complete the two-column
proof of the Pythagorean theorem.

3: A. (AC)DC) + (AC)(CD) = (AC)AC) + (BC)BC)

B. (AC)(CD) + (AC)(AD) = (BC)BC) + (AB)AB)

C. (AB)(CB) + (AD)CD) = (AC)AC) + (BC)BC)

D. (AC)BC) = (AC)(AC) + (BC)BC)





5: A.angle bisector postulate
B. triangles
C. common line segment
D. segment addition postulate

The mean, mean deviation mode, median standard deviation, and coefficients of variation, CV, are as follows;

1. The mean deviation about the mean, median mode are;

2.653, 3.709, and 3.709, respectively

The coefficients of variation are;

0.364, 0.337, 0.337, respectively

The variance is about 9.462

The standard deviation is about 3.076

2. Section A has a higher relative dispersion than section B

3. City 2

4. a. Mean ≈ 43.85

b. Mode 40 - 54 inches

c. Median ≈ 45.16

The variance ≈ 125.8056

Standard deviation ≈ 11.216

Coefficient of variation ≈ 0.268

The coefficient of variation of a data quantifies or is a measure of the variability of the values in the set of data.

The mean for the data can be calculated as follows;

Mean  = (3×10 + 6×15 + 11×25 + 2×6 + 4×4 + 10×3 + 5×2 + 7×8 + 8×9 + 9×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 7.29

The median is the 86/2 value = 43rd value

10 + 15 + 25 = 50

Therefore, the median is in the class with a frequency of 25, which is 11

The mode of the data, which is the value with the highest frequency in the data set is 11

The mean deviation from the mean is therefore;

(|3 - 7.29|×10 + |6 - 7.29|×15 + |11 - 7.29| ×25 + |2 - 7.29| ×6 + |4 - 7.29| ×4 + |10 - 7.29| ×3 + |5 - 7.29| ×2 + |7 - 7.29|×8 + |8 - 7.29| ×9 + |9 - 7.29| ×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 2.653

The coefficient for the mean deviation about the mean is therefore; 2.653/7.29 ≈ 0.364

The mean deviation about the median is therefore;

(|3 - 11|×10 + |6 - 11|×15 + |11 - 11| ×25 + |2 - 11| ×6 + |4 - 11| ×4 + |10 - 11| ×3 + |5 - 11| ×2 + |7 - 11|×8 + |8 - 11| ×9 + |9 - 11| ×4)/(10+15+25+6+4+3+2+8+9+4)

The mean deviation about the median = 319/86 ≈ 3.709

The coefficient ≈ 3.709/11 ≈ 0.337

The median = The mean deviation about the mode ≈ 3.709

The coefficient is about 0.337

The variance = (10×(3 - 7.29)² + 15×(6 - 7.29)² + 25×(11 - 7.29)² + 6×(2 - 7.29)² + 4×(4 - 7.29)² + 3×(10 - 7.29)² + 2×(5 - 7.29)² + 8×(7 - 7.29)² + 9×(8 - 7.29)² + 4×(9 - 7.29)²)/(10+15+25+6+4+3+2+8+9+4) ≈ 9.462

The standard deviation, s ≈ √(9.462) ≈ 3.076

2. The coefficient of variation, CV, can be used to compare the variability of the datasets comprising of different scales as follows;

CV = Standard deviation/( The mean of the data)

Therefore; CV for section A = 23/79 ≈ 0.2911

CV for section B = 11/64 ≈ 0.172

The higher CV value for section A indicates that the scores of section A have a higher relative dispersion than the scores for the section B

3. The consistency values can be obtained by finding the standard deviation for the values in the data for each city, using a web based tool as follows;

City 1; Mean = 23

Variance = 50/4

Standard deviation, City 1 = (√(50))/2 = 5·√2/2

City 2; Mean = 21.8

Sample variance = 2.2

Standard deviation, City 2 = √(2.2) ≈ 1.483

City 3; Mean = 29.2

Sample variance = 18.7

Standard deviation, City 3 = √(18.7) ≈ 4.324

The standard deviation of city 2, which is the smallest compared tom the other cities, indicates that the City 2, has the most consistent temperature

4. The mean of the data obtained from the data using the midpoint of the data, is; Mean = ∑fx/∑f

Therefore; The mean obtained using an online tool is; 43.85

The mode is the data that occurs most frequently, which is the data with the value; 40 - 54 inches

The median is the value at the middle of the data set, which is the value with a frequency of 53, and in the interval 40 - 54 inches

The median is; 39.5 + (54.5 - 39.5) × (50 - 30)/53 ≈ 45.16

The standard deviation found for the grouped data, using an online tool is as follows;

Variance, σ² ≈125.8056

The standard deviation, σ ≈ √(125.8056) ≈ 11.216

The coefficient of variation is; 11.216/41.83 ≈ 0.268

Learn more on the standard deviation of a data set here: https://brainly.com/question/30414406

#SPJ1

The average T2, T7, T6, T4, and T10 in Processor 1

T8, T9, T3, T1, and T5 on Processor 2.

Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

1) ident. prop. of mult.

2) add. prop. of add.

Step-by-step explanation:

have a good day!

The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

As per option (B),

Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.

Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.

Sarah rides her bike = 3/4 × 8/9

Therefore, this problem can be solved by performing the above multiplication.

Hence, the correct answer would be an option (B).

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ1

Answer: its a taco

Step-by-step explanation: taco

Answer: neither

Step-by-step explanation:

sandwich is a sandwich, a taco is a taco.

Answer:

D ko alam hahahahhahaahahahahahahahahahahahahahahahaaha

Answer:20 minutes

Step-by-step explanation:

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

The independent variable in this situation is C. area of the prism.

In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are studied in an experiment under the assumption or demand that they are dependent, by some law or rule, on the values of other variables.

The term "independent variable" means exactly what it sounds like. It is a variable that is independent of the other variables you are attempting to measure. For example, age could be an independent variable.

In this case, the area doesn't change in relation to others. It's independent.

Learn more about variables on:

https://brainly.com/question/82796

#SPJ1

The explanation for the reason why the graph is not a function is: It is not a function because the graph has two different y-values for a single x-value.

A graph is a function when there are exactly one y-value for every x-value that is plotted on the graph.

This implies that, no single x-value can have two different y-values in a graph that represents a function. If there are two different y-values for a single x-value, then the graph is not a function.

In the graph given below, the x-value, 4, has two different y-values, -2 and 4. This makes the graph not a function.

Therefore, the explanation for the reason why the graph is not a function is: It is not a function because the graph has two different y-values for a single x-value.

Learn more about function graph on:

https://brainly.com/question/10439235

#SPJ1

Answer:

Step-by-step explanation:

It is not a function because there are two different y-values for a single x-value.

0.75

I don't know how to explain but that's 5% of 15 (sorry if this doesn't help D:)

Answer: they both go up in cents by 5s.  they may not be only five but five's.  Therefore, they are adding by 5s and that is the linear relationship

Step-by-step explanation:

Answer:

f = 8

Step-by-step explanation:

21 + 5f = 61

5f = 61 - 21

f = (61 - 21) / 5

f = 8

Answer:

f = 8

Step-by-step explanation:

"Sum" = addition

"Times" = multiplication

Write an equation to represent this scenario

21 + 5 * f = 61

Multiply 5 by f

21 + 5f = 61

Subtract 21 from both sides of the equation

5f = 40

Divide both sides of the equation by 5

f = 8

Hope this helps :)

\(\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155\)

\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155\)

\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155\)

\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495\)

\(\\ \sf{:}\dashrightarrow 2+2495=2498\)

Answer:

y = \(\frac{3}{4}\) x + \(\frac{1}{2}\)

Step-by-step explanation:

Answer:

8 cans for $9

Step-by-step explanation:

Answer:

6 cans for $5

Step-by-step explanation:

5÷6=.83 making it 83 cents a can

9÷8=1.13 making it $1.13 a can

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-2}x+8\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-2\implies \cfrac{-2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-2}\implies \cfrac{1}{2}}}\)

so, we're really looking for the equation of a line whose slope is 1/2 and that it passes through (6 , -2)

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{6}) \implies y +2= \cfrac{1}{2} (x -6) \\\\\\ y+2=\cfrac{1}{2}x-3\implies \LARGE \begin{array}{llll} y=\cfrac{1}{2}x-5 \end{array}\)

Answer:

I would say it's C

Step-by-step explanation:

trust the process

Answer:

Option 4: 4 is the correct answer

Step-by-step explanation:

The given inequality is:

10- 2y ≥ 4

In order to check which value is not the solution to the inequality we have to put each value in the inequality. If the inequality is true for the value, it is the solution and it is not true then it is not the solution.

Putting y = 1

\(10-2y\geq 4\\10-2(1)\geq 4\\10-2\geq 4\\8\geq 4\)

TRUE

Putting y=2

\(10-2y\geq 4\\10-2(2)\geq 4\\10-4\geq 4\\6\geq 4\)

TRUE

Putting y=3

\(10-2y\geq 4\\10-2(3)\geq 4\\10-6\geq 4\\4\geq 4\)

TRUE

Putting y=4

\(10-2y\geq 4\\10-2(4)\geq 4\\10-8\geq 4\\2\geq 4\)

FALSE

The inequality is not true for y=4.

Hence,

Option 4: 4 is the correct answer

Answer:letra    b

Step-by-step explanation:

A function assigns the values. The decrease in selling price from 700 units sold to 900 units sold is 10. Thus, the correct option is B.

A function assigns the value of each element of one set to the other specific element of another set.

Price of the unit when 900 units were sold,

P=1200-20s

900 = 1200 - 20s

s = 15

Price of the unit when 700 units were sold,

P=1200-20s

700 = 1200 - 20s

s = 25

Now, the difference in the selling price of the units is,

Difference = 25 - 15 = 10

Hence, the decrease in selling price from 700 units sold to 900 units sold is 10. Thus, the correct option is B.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Answer: 4.3125 pounds A is the right answer

Step-by-step explanation:

(((2 pound) + (9 oz)) + (1 pound)) + (12 oz) =4.3125 pounds

Answer:

48(c)

Step-by-step explanation:

Answer:

answer would be 11 yellow starburst.

Step-by-step explanation:

add 8 and 3 which will give you 11. Divide 40 by 11 which will give you 3.64 times this by 3 and

you'll get 10.92 roumd that off and you'll get 11. If you try the 3.64 times 8 you'll get 29. 29 + 11 = 40

Answer:

15 yellow starbursts ( my least favorite candy, too sticky)

Step-by-step explanation:

Ratio red to yellow = 8:3

There are 40 red starbursts

40/8 = 5

5 x 3 = 15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B', then the current coordinates of B' are (3, -2).

As per the question statement, a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B'.

We are required to calculate the coordinates of B'.

To solve this question, we need to know what Translation (a, b) to (x, y) and (-a, -b) to (x, y) means. Translation (a, b) to (x, y) means the abscissa "x" is to be shifted to the right by "a" units while the ordinate "y" is to be shifted to the right by "b" units, i.e., after translation, the new coordinates become [(a + x), (b + x)]. On the other hand, Translation (-a, -b) to (x, y) means the abscissa "x" is to be shifted to the left by "a" units while the ordinate "y" is to be shifted to the left by "b" units, i.e., after translation, the new coordinates become [(a - x), (b - x)].

Here, as per the above mentioned concept, a translation of T (2, -7) if applied to the point B (1, 5), the new point B' will be at \([(1+2), (5+(-7)]=[3, (-2)]\).

To learn more about Translation, click on the link below.

https://brainly.com/question/13007985

#SPJ9

Answer: D (3,-12)

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

The equation for slope is:

\(Slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}}\)

Now we can plug in the given coordinates into the equation:

\(Slope = \frac{-1-4}{-3-(-3)} =\frac{-5}{0}\)

This means the slope is undefined and the line is vertical

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22