I need help with this problem 3/4x+17-1/4x-19

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

8x-14=10-4x

4x+8x

12x-14=10

10+14

12x=24

24/12

x=2

The syllogism is invalid because it commits the fallacy of affirming the consequent. The rule that is broken is that the conclusion of a valid syllogism must follow necessarily from the premises.

In this case, the conclusion "all inventors are eccentrics" does not necessarily follow from the premises "all inventors are people who see new patterns in familiar things" and "all eccentrics are people who see new patterns in familiar things."

This is because there could be people who see new patterns in familiar things who are not inventors, and there could be eccentrics who do not see new patterns in familiar things. Therefore, the argument is unsound and illogical.

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So, here we are to factor the polynomials :

\(\\ 1. \sf \qquad5a^2b^2 + 10ab +25a\\ \\\)

\( \longrightarrow\sf \qquad5a(ab^2 + 2b +5)\\ \\\)

\(\\ 2. \sf \qquad 8m^2n^2 - 24mn^3 +16mn\\ \\\)

\( \longrightarrow\sf \qquad 8mn(mn - 3n^2 +2)\\ \\\)

\(\\ 3. \sf \qquad 9xz^3 + 18yz^2 + 24z^2\\ \\\)

\(\longrightarrow \sf \qquad 3z(3xz^2 + 6yz+ 8z)\\ \\\)

\(\\ 4. \sf \qquad 16x^6y + 16x^2y^4 + 32x^3y^2\\ \\\)

\( \longrightarrow \sf \qquad 16 {x}^{2} y(x^4 + y^3 + 2xy)\\ \\\)

Some points to know :

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

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

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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The Hungarian algorithm, we can find the optimal assignment that minimizes the overall cost, ensuring all jobs are completed and each worker is assigned to a job.

The transportation model for the allocation problem with r workers and o jobs, we can use the transportation problem framework. We can represent the problem as a cost matrix C, where C[i][j] represents the cost of worker i doing job j.

The objective is to minimize the total cost, considering that each worker must be assigned to exactly one job and each job must be done by exactly one worker.

By applying the transportation problem algorithms, such as the minimum-cost network flow or the Hungarian algorithm, we can find the optimal assignment that minimizes the overall cost, ensuring all jobs are completed and each worker is assigned to a job.

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The base, lateral area and surface area is B = 96 cm², L = 499.2 cm²,S = 691.2 cm²

The lateral area for the triangular prism is the sum of all three areas. Thus, the formula for lateral area of triangular prism, Lateral surface area of triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h.

To find the lateral area (L) of this solid, we need to calculate the area of the four rectangles that make up the sides of the solid. Since each rectangle has a height of 10.4 cm and a width of 12 cm, the area of one rectangle is:

A = 10.4 cm * 12 cm = 124.8 cm²

Since there are four rectangles, the total lateral area is:

L = 4 * A = 4 * 124.8 cm² = 499.2 cm²

To find the surface area (S) of the solid, we need to add the lateral area to the area of the two circular bases. The base area is given as 96 cm², so the area of both bases is:

A = 2 * 96 cm² = 192 cm²

Therefore, the total surface area is:

S = L + A = 499.2 cm² + 192 cm² = 691.2 cm²

Rounding to the nearest tenth, we have:

B = 96 cm²

L = 499.2 cm²

S = 691.2 cm²

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Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image

Answer:

7.706081948 lowecase10uppercase16

Step-by-step explanation:

I hope it helps u.

Answer:

Triangle : 1/5x 1/5y

The middle: 3/4x 3/4y

The last one: I do not know...

Step-by-step explanation:

Answer:

2803

 2 8 0 3

3 5 6 7 | 1 0 .      

7 . 1 3 4  

2 . 8 6 6 0  

2 . 8 5 3 6  

1 2 4 0 0

1 0 7 0 1

1 6 9 9

Answer:

0.00280347631

Step-by-step or something like that:

Why would you ask though? Lol

Given, Height of the cliff = 20 m Distance of the car from the foot of the cliff = 10 m.

The time taken by the car to fall from the cliff can be found using the formula:

\(`h = (1/2) g t^2`\)

Where h is the height of the cliff, g is the acceleration due to gravity and t is the time taken by the car to fall from the cliff.

Substituting the given values,`20 = (1/2) × 9.8 × t^2`

Solving for t, `t = sqrt(20/4.9)` = 2.02 s

Let the initial velocity of the car be V0 and the time taken for the car to come to rest after applying brakes be t1.

Distance covered by the car before coming to rest can be found using the formula: `\(s = V0t1 + (1/2) (-5) t1^2\)`

Where s is the distance covered by the car before coming to rest.

Simplifying the above equation,\(`2.5 = V0 t1 - (5/2) t1^2`\)

Substituting the given values,`5 = V0 - 5 t1`

Solving the above two equations,\(`V0 = 32.5/2 t1`\)

Simplifying the above equation,`V0 = 16.25 t1`

Substituting the value o\(f t1,`V0 = 16.25 × 2` = 32.5 m/s\)

Therefore, the speed of the car before the start of braking is 32.5 m/s.

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Answer:

-3, -2.5, -3/4, 0.8, 2.5, 6 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 = 0.5

6 = 6

6 + 0.5 = 6.5

----------------------------------------------------------------------------------------------------------------

1/4 = 0.25

-1/4 = -0.25

-3/4 = -0.75

----------------------------------------------------------------------------------------------------------------

Hope this helps! <3

Answer:

x = 54°

Step-by-step explanation:

(5-2)·180° = 540°, which is the total amount of degrees inside a pentagon

if it's regular then each angle is equal so m∡B = 540/5 or 108°

∠DBC ≅ ∠CDB because ΔCBD is isosceles

half of 108 is 54°

Answer:

a  ≤  b  +  5

a  +  b  ≥  40  

2.5 a  +  1.5 b  ≤  105

Step-by-step explanation:

Answer:

  B.  (3, 17)

Step-by-step explanation:

You want to solve this system of equations by substitution:

We are given an expression for y. Substituting that into the first equation gives ...

  x + (3x +8) = 20

  4x = 12 . . . . . subtract 8

  x = 3 . . . . . . divide by 4

  y = 3(3) +8 = 17

The solution is (x, y) = (3, 17).

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Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

The correct answer is "half the width of the confidence interval."

The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

In a confidence interval, the width represents the range between the upper and lower bounds of the interval. The margin of error indicates the maximum amount by which the sample estimate can deviate from the true population parameter.

To calculate the margin of error, you divide the width of the confidence interval by 2. This is because the margin of error represents the distance from the sample estimate to the upper or lower bound of the interval. By dividing the width by 2, we determine the maximum amount of deviation from the estimate allowed on either side.

Therefore, the correct answer is "half the width of the confidence interval."

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Answer:

In this case, the displacement vector is <10 - 3, 6 - 2> = <7, 4>.
Therefore, the vector with initial point p and terminal point q can be expressed in component form as <7, 4>.

Step-by-step explanation:

Alternatively, you can express the vector as <x, y>, where x and y are the differences in the x- and y-coordinates, respectively. In this case, x = 10 - 3 = 7 and y = 6 - 2 = 4, so the vector can be expressed as <7, 4>.

Answer:

5280 cubic inches

Step-by-step explanation:

V= l * w * h

V= 18 * 12 * 20

V= 4320 cubic inches

Then do the first measurement subtracted by the second one because it wants to know the difference.

9600 - 4320 = 5280 cubic inches

Full page? In exchange for something i'll do it all.

1.

5:15

7: 21

9: 27

11: 33

2.

1: 20

2: 40

3: 60

80:160

3.

0: -25

1: -23

2: -21

3: -19

4. x = -(1/3)

5. x = 0

6. y = 16

7. y = -17

Y is a random variable on (Ω, F, P).

To show that y is a random variable on (Ω, F, P), we need to show that the pre-image of any Borel set B in R under y is an event in F. In other words, we need to show that {w : y(w) ∈ B} is in F for any Borel set B in R.

Let y be any real-valued function on Ω. Then, for any Borel set B in R,

{w : y(w) ∈ B} = y^{-1}(B),

where y^{-1}(B) denotes the pre-image of B under y. Since y is measurable, we have y^{-1}(B) ∈ F for any Borel set B in R. Therefore, y is a random variable on (Ω, F, P).

Alternatively, we can use the definition of a random variable to show that y is a random variable. Let y be any real-valued function on Ω. Then, for any Borel set B in R,

{w : y(w) ∈ B} = {w : y(w) ≤ x} ∩ {w : y(w) ≥ x},

where x is any real number such that B = (-∞, x] ∪ (x, ∞). Since y is measurable, {w : y(w) ≤ x} and {w : y(w) ≥ x} are events in F for any real number x, and hence their intersection {w : y(w) ∈ B} is also an event in F. Therefore, y is a random variable on (Ω, F, P).

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Answer:

Robie made an image but I'll give you points to plot in case you are confused.

Step-by-step explanation:

(0,-2)

(1,0)

(2,2)

etc.

(x goes up by 1, y goes up by 2 start from -2 y)

Answer:

5.6 days

Step-by-step explanation:

We are given;

Initial Mass; N_o = 25 g

Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)

k = 0.1229

Formula is given as;

N_t = N_o•e^(-kt)

Plugging in the relevant values;

12.5 = 25 × e^(-0.1229t)

e^(-0.1229t) = 12.5/25

e^(-0.1229t) = 0.5

(-0.1229t) = In 0.5

-0.1229t = -0.6931

t = -0.6931/-0.1229

t = 5.6 days

The density of horses in royale stables would be 5.78 horses/sq.km  

How to find the population density?

To calculate the population density, you will divide the population by the size of the area. Thus, Population Density = Number of People/Land Area. The unit of land area should be square miles or square kilometers.

Given that there are 4564 horses in royale stables. and the stables have an area of 789 sq.km

So by using the formula for population density, we can find the population density of horses in royale stables as

Population density of horses in royale stables = number of horses in royale stables/ Area of Royale stables

                                                             = 4564 / 789

                                                             = 5.78 horses/sq.km        

Hence, the density of horses in royale stables would be 5.78 horses/sq.km  

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Answer:

x = -11

Step-by-step explanation:

\(x + 4 = -7\)

subtract 4 from both sides of the equation

\(x = -11\)

Answer:

X= -11

Step-by-step explanation:

X+4-4 = -7-4

Then simplify.

Answer:32000 - 25000 =7000 increase percentage = increase amount

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

Hey There!

A line that has a negative slope will be going from left to right downwards if that makes sense

Thus meaning that option 4 has a negative slope

Answer:

8

Step-by-step explanation:

Answer:

It is 2

Step-by-step explanation:

The greatest common factor is 2 because 2×16=32

also works for 24 because 2×24=48

then yes it works again for 2×12=24

division is also very helpful