Given: Right ∆ABD with vertices A, B, and D; right ∆CBD with vertices C, B, and D
Prove: ∆ABD ≅ ∆CBD
Proof

Find the length if AD-.
AD = √(x₂ − x₁)² + (y₂ − y₁)²
= √(4-0)² + (0-0)²
= √4² = _

Find the length of DC-.
DC = √√(x₂ − x₁)² + (Y₂ − Y₁)²
= √(8 − 4)² + (0 − 0)²
= √4² = _

AD- ≅ DC- by the ______
BD- ≅ BD- by the ______ Property of Congruence
∆ABD ≅∆ DBC by the ______ Congruence Theorem​

Answer:

see below

Step-by-step explanation:

The parallelogram on the left has an area of

A = bh

A = 7*4 = 28 ft^2

The rectangle on the right has an area of

A = bh

A = 8*15 = 120 cm^2

Step-by-step explanation:

For the parallelogram

Area of a parallelogram = b × h

where

b is the base

h is the height

From the question

b = 7 ft

h = 4 ft

So the area is

For the rectangle

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

l = 15 cm

w = 8 cm

So the area is

Hope this helps you

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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Answer: Hello, your answer would be \(2.7x10^-5m^3\)

Step-by-step explanation:

\(30mm\)

\(a=0.03m\)

\(V=a^3=0.03^3=2.7x10^-5m^3\)

(the answer is also in the picture)

Answer:

V≈2.7×10^-5m³

Step-by-step explanation:

a=edge

Unit Conversion:

a=30mm/1000m

a=0.03m

Solution

V= a³= 0.03³

a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³

Answer:

3

Step-by-step explanation:

Amplitude is the absolute value of the number in front

3cos(2x) + 5

Answer:

151 1/8

Step-by-step explanation:

15 1/2: 31/2 9 3/4: 39/4

31/2 X 39/4= 1209/8

1209/8= 151 1/8

Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.

A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages ​​are:

L1, which has exactly one "a" but any number of "bs".

L2, which has an odd number of "as" and an even number of "bs".

L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.

L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".

L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.

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the range is (-8,inf)

The function starts in x=-1 and y(-1)=-8. is a strictly increasing function, so it goes fro (-8,inf)

The correct option is 3

Step-by-step explanation:

Multiple inputs can give the same output, but not vice versa.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

b =-2

Step-by-step explanation:

-3b+7=13

Subtract 7 from each side

-3b+7-7=13-7

-3b = 6

Divide each side by -3

-3b/-3 = 6/-3

b = -2

Answer:

b=-2

Step-by-step explanation:

-3b+7=13

     -7  -7

-3b=6

/-3   /-3

b=-2

Hi, there!

 ______

\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)

(1)

 - The slopes of parallel lines are identical.

{The line \(\sf{y=7x-1}\) has a slope of 7}

Thus,

{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}

(2)

 - The slopes of perpendicular lines are negative inverses of each other.

The negative inverse of 7 is

\(-\dfrac{1}{7}\).

Therefore,

\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                 \(\tiny\boldsymbol{Frozen \ melody}\)

If you do in fact mean \(f(1)=f(6)=0\) (as opposed to one of these being the derivative of \(f\) at some point), then integrating twice gives

\(f''(x) = -\dfrac1{x^2}\)

\(f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1\)

\(f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2\)

From the initial conditions, we find

\(f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0\)

\(f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)\)

Eliminating \(C_2\), we get

\((C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))\)

\(-5C_1 = \ln(6)\)

\(C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)\)

Then

\(\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}\)

The value of x with the given condition is 10

From the question, we have the following parameters that can be used in our computation:

D(7,2), E(1, 9), F(4,8), and G(x, 1),

Also, we have

DE || FG

This means that the lines DE and FG are parallel lines and they have equal slope

The slope is then calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)

Evaluate the difference

-7/6 = -7/(x - 4)

So. we have

x - 4 = 6

Evaluate

x = 10

Hence. the value of x is 10

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Answer:

\((-5)^3 * c^3\)

Step-by-step explanation:

Given

\((-5)(-5)(-5) * c * c * c\)

Required

The exponent form

We have:

\((-5)(-5)(-5) * c * c * c\)

Apply the following law of indices;

\(x * x * x ...... = x^n\)

So, the expression becomes:

\((-5)^3 * c^3\)

Answer:

its c

Step-by-step explanation:

Did it on edge

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:

1.5137 is the right answer.

Answer:

x = 3.5 minutes, or 3 minutes and 30 seconds

Step-by-step explanation:

Use proportions to solve this question.

\(\frac{40 pages}{2minutes} = \frac{70 pages}{x minutes} \\\)

Cross Multiply.

40(x) = (70)(2)

40x = 14

4x = 14

x = 3.5 minutes, or 3 minutes and 30 seconds

Answer:

The area of the triangular section is 12 square units. The area of the entire figure is  60  square units.

Step-by-step explanation:

The area of the triangular section is 12 square units and the area of the entire figure is 60 square units

The dimension of the triangular section is:

Base = 12 - 6 = 6 units

Height = 4 units

So, the area is:

Area = 0.5 * Base * Height

This gives

Area = 0.5 * 6* 4

Area = 12 square units

The area of the entire figure is then calculated as;

Area = Triangle + Rectangle

This gives

Area = 12 + 12 * 4

Evaluate

Area = 60

Hence, the area of the triangular section is 12 square units and the area of the entire figure is 60 square units

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Answer:

230 were sold at the door

170 were sold in advance

Step-by-step explanation:

x=at door y=in advance

x+y=400

3x+2y=1030

y=-x+400

2y=-3x+1030

y=-3/2x+515

-x+400=-3/2x+515

x=230 y=170

You can calculate the hours Juan slept on Friday night by using the next equation:

Answer:

x=2

Step-by-step explanation:

x2

x

+−3=x+x+−5

Multiply all terms by x and cancel:

x2+−3x=xx+xx+−5x

x2−3x=2x2−5x(Simplify both sides of the equation)

x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)

−x2+2x=0

x(−x+2)=0(Factor left side of equation)

x=0 or −x+2=0(Set factors equal to 0)

x=0 or x=2

Check answers. (Plug them in to make sure they work.)

x=0(Doesn't work in original equation)

x=2(Works in original equation)

Answer:

x=2

Answer:

H0 : μ = 38

H 1 : μ < 38

Test statistic = - 1.11

Pvalue = 0.13

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Step-by-step explanation:

H0 : μ = 38

H 1 : μ < 38

The test statistic :

(xbar - μ) ÷ (s / sqrt (n))

(36.1 - 38) ÷ (10.8 / sqrt(40))

-1.9 ÷ 1.7076299

= - 1.113

= - 1.11 ( 2 decimal places)

α = 0.10

Using the value calculator :

P(Z < - 1.113) = 0.13285

Pvalue = 0.13285

Pvalue = 0.13 ( 2 decimal places)

Reject the Null if Pvalue < α

Since; 0.13285 > 0.01 ; We fail to reject the Null

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Total number of the adults are 693

Percentage of adults that show that they erase all of their personal information online is 58%

Geberal expression for the percentage is

We need to find the number of adults that erase all of their personal information online.

Substitute the value

Let x=Number of adults who erase thier personal information

Simplify and solve for, x

Round of the x value

Number of adults who erase thier personal information are 402.

Answer:

15% off

explanation:

take 720-850= 130

then take 130/850= .1529...

then convert to percentage

15%

Step-by-step explanation:

^^

15%

Answer:

15% off is the answer I'm just typing stuff bc it has to be 20 letters

Answer:

Step-by-step explanation:

The required solution is 5+39e.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 5, so we write it as (X+5). The product is four times (X+5), so we write it as 39(X+5). Set it equal to e, as per the question, 5+39e

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a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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