Consider triangles CBD and BDE and answer the questions that follows
2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?​

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

For more such questions on distance visit:

https://brainly.com/question/30395212

#SPJ8

Answer:

x=50 and y=80

Step-by-step explanation:

ATQ, x+50+y=180 and y+2x=180. x=50 and y=80

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

for such more question on length

https://brainly.com/question/20339811

#SPJ8

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

for such more questions on thermometer

https://brainly.com/question/9765708

#SPJ8

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

Learn more about numbers in https://brainly.com/question/24908711

#SPJ1

Answer:

65%

Step-by-step explanation:

formula is (og(original) price - sell price ÷ og price)*100

820-287=533

533÷820=0.65

0.65x100=65

65%

Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

The first of these two events is the number displayed on the cube. The result of the coin toss is the second. There should be two columns in this tree, one for each occurrence.

a list or tree digrams to represnts the sample space in the given below figure . Observe the first column first. Let the number cube's result be. The following six values are possible:. Six branches, one for each outcome, result from that proceed to the following column. Let the result of the coin toss be. There would always be two possible results for, regardless of the number obtained for.

The first of these two events is the number displayed on the cube. The result of the coin toss is the second. There should be two columns in this tree, one for each occurrence.

Observe the first column first. Let N represent the number cube's result. Six values are possible: 1, 2, 3, 4, 5, and 6. Six branches, one for each outcome, result from that. proceed to the following column. Let the result of the coin toss be. There would always be two possible results for, regardless of the number obtained for.

To know more about tree digrams, click the below link

https://brainly.com/question/16827650

#SPJ4

the actual question is :

The number cube is rolled and a coin is tossed . How can you sketch a tree diagram to represent the sample space ?

Considering the situation tested, the alternative hypothesis would be given by:

\(H_a: p \neq \overline{p}\)

At the null hypothesis, we test if our claim is wrong, that is, if the proportion is still the same of \(\overline{p}\):

\(H_0: p = \overline{p}\)

At the alternative hypothesis, it is tested if there is enough evidence that our claim is correct and the proportion has changed, that is:

\(H_a: p \neq \overline{p}\)

More can be learned about an hypothesis test at https://brainly.com/question/26454209

Answer:

Top left one on the attached, must be option A

Step-by-step explanation:

A function has to have unique input values and for each input value has to have an output value.

Analyzing the graphs we can see that only one of them is a function- top left one

All the others have repeat input values, therefore are not functions

All those points marked with red circle

Refer to attached

Answer:

1.  Not true, so (5,2) is not a solution

2. Not true, so (-3,-6) is not a solution.

3. Not true, so (0, \(\frac{2}{3}\)) is not a solution.

Step-by-step explanation:

Substitute 5 for x and 2 for y

1 - y > x - 6

1 - 2 > 5 - 6

-1 > -1

This is not true. -1 is not greater than -1

y < x - 1

Substitute -3 for x and -6 for y

2 - y \(\leq\) 2x

2 - (-6) \(\leq\) 2(-3)

8 \(\leq\) -6  

This is not true. 8 is not less than -6.

y \(\geq\) x

Substitute 0 for x and \(\frac{2}{3}\)

3 - \(\frac{1}{2}\) x + 3y < 8

3 - \(\frac{1}{2}\) (0) + 3(\(\frac{2}{3}\)) < 8

3 - 0 + \(\frac{6}{3}\) < 8

3 + 2 < 8

6 < 8

This is true. 6 is less than  8

y \(\geq\) 1

\(\frac{2}{3}\) \(\geq\) 1

This is not true. \(\frac{2}{3}\) is not greater than or equal to one.  

The ordered pair has to be a solution for both equations for the ordered pair to be a solution for the system.

Helping in the name of Jesus.

The transformation rule is

(x, y) → (2x, 2y+1)

Two tranformation were don

1) Dilation

2) Translation

1) Both coordinates were multiplied by 2, this value represents a dilation factor. It indicates that the figure was enlarged by factor 2. → You'd expect the resulting image to be twice as big as the original one.

2) One unit was added to the y-coordinate.

When you add a determined value "k" to the y-coordinates it translates into a vertical movement up for "k" units.

In this case, the figure was moved up one unit.

So the resulting image will be similar to the original and one unit up. The correct option is A.

Answer:

156.84 (rounded answer like you wanted)

Step-by-step explanation:

23.1+4.77+125.39+3.581

=27.87+125.39+3.581

=153.26+3.581

=156.841

= 156.84 (rounded)

Answer:

5 gallons plz give brainliest

Step-by-step explanation:

Answer:

5 gallons

Step-by-step explanation:20 gallons divided by 4 quarts = 5

20/4=5

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

For more such answers on coordinates

https://brainly.com/question/30227780

#SPJ8

Answer:

Step-by-step explanation:

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

Find out more on scale factors at https://brainly.com/question/2826496

#SPJ1

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Read more about matrix at

https://brainly.com/question/11989522

#SPJ1

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer:

you plus them together then you get 42 out of your number you close during / N which is 3 to get your final answer thank

Answer:

12.78

Step-by-step explanation:

63.65 divided by 5 = 12.7

Answer:

Equation:63.65÷5=12.73

A)$12.73

Step-by-step explanation:

Division is this symbol ÷

Your problem directly states to divide the amount in money by the amount of children

Answer:

THis equation is in slope-intercept form (y=mx+b)

in this equation m represents the slope.

Therefore 1/3 is the slope

1/3

Step-by-step explanation:

Answer: m = 1/3

Step-by-step explanation: Since the equation of this line is written

in slope-intercept or y = mx + b form, its slope or m is represented

by the coefficient of the x term which in this case is 1/3.

Answer:

Lucy did 37 Push-up

Given:

Lucy 12 More than Jeremy

Jeremy 25

Step-by-step explanation:

If Lucy did 12 more than Jeremy that given you that It "Addition"

so 12+ 25 = 37

Therefore, Lucy did 37 Push-up.

Multiplication equations can be modeled using decimal models.

The multiplication equation is: \(\mathbf{0.50 \times 0.90 = 0.45}\)

From Phil model, we have the following highlights

So, the multiplication expression is:

\(\mathbf{\frac{50}{100} \times \frac{90}{100}}\)

Express as decimals

\(\mathbf{0.50 \times 0.90}\)

Multiply

\(\mathbf{0.50 \times 0.90 = 0.45}\)

Hence, the multiplication equation is: \(\mathbf{0.50 \times 0.90 = 0.45}\)

Read more about decimal models at:

https://brainly.com/question/19979966

Answer:

Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to \(0.6155\) radian

Step-by-step explanation:

Please see the attached image for better understanding

Length of OB is equal to

\(\sqrt{19^2 + 19^2 }\)

\(19\sqrt{2}\)

Now the length of OE is equal to

\(\sqrt{19^2 + 19^2 + 19^2 } = 19 \sqrt{3}\)

Now Angle BOE is equal to

\(cos^{-1} (\frac{722}{19\sqrt{2}* 19\sqrt{3} }) = 0.6155\) radians

Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to \(0.6155\) radian

Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Answer:

(xy)^2

Step-by-step explanation: