Hi! I need this answer very quickly but I don't understand this math problem hope you can help! I need to know if it has no solution or one or two and can you show work with it, please? TYYYYY
7b + 3 - 4b = 3 - 3(b + 4)

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The first five terms of the sequence are 7/2, 5/2, 3/2, 1/2 and -1/2.

The common difference is -1

An Arithmetic Sequence is a sequence of numbers where the successive terms differs from each other by a constant value known as the common difference.

The nth term of an arithmetic sequence is given as:

    • Tn = a + (n - 1)d

Where,

    •  a = first term of the sequence

• n = position of a given term

    •  d = common difference

• Tn = nth term

Given the sequence

\(a_n= \frac{7}{2} - (n-1)\)

(a) To find the first five terms, we will substitute

n = 1, n = 2 , n = 3, n = 4 and n = 5 into the formula for the nth term respectively.

\(a_1= \frac{7}{2} - (1 - 1) = \frac{7}{2}\)

\(a_2= \frac{7}{2} - (2 - 1) = \frac{7}{2} - 1 = \frac{5}{2} \)

\(a_3= \frac{7}{2} - (3- 1) = \frac{7}{2} - 2 = \frac{3}{2} \)

\(a_4= \frac{7}{2} - (4 - 1) = \frac{7}{2} - 3 = \frac{1}{2} \)

\(a_5= \frac{7}{2} - (5- 1) = \frac{7}{2} - 4 = - \frac{1}{2} \)

(b) The common difference, d, is given by:

\(d \: = a_2 -a_1 = a_3 -a_2 \)

\(=\frac{5}{2} - \frac{7}{2} = \frac{3}{2} - \frac{5}{2} = - \frac{2}{2}\)

= - 1

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Answer:

Step-by-step explanation:

my answer is  3 1/9 gallons

Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.

No. of gallons required to spray 2 lawns = x

So, first of all we should divide 3 1/2 with 2 1/4

now this division we should equalise with  x/3

(3 1/2 ÷ 2 1/4)  = x ÷ 2

after doing this we have got the value of x = 28/9  or 3 1/9

hence, 3 1/9 gallons is required to spray 2  lawns.

So . this question is related to capacity.

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Answer:

D) 144π sq. units

Step-by-step explanation:

The formula for finding the surface area of a sphere is 4π

Substitute 6 in for r.  4π = 144π

Answer:

144π sq. units

Step-by-step explanation:

The formula to determine the surface area of a sphere is: 4πr^2

But there’s no digit of pi given. Therefore we will use the formula but ignoring pi:

4πr^2

= 4r^2

= 4(6^2)

= 4(36)

= 144

Surface area is measured in square units.

Therefore the answer is 144π. The answer will be the true answer surface area once we know what π to use. For now, π will be just a variable next to 144 and will be later multiplied to it.

I hope you understand this! Hope I helped!

The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

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Answer:

I’m pretty sure the answer to this would be 11- but it could also be eight so check that but I’m pretttyyyy sure it’s 11. I hope that helps you

Step-by-step explanation:

Answer:

7 17/99

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because there are only two outcomes (winning or losing) this means that

P(winning)+P(losing)=1

if we knowing that P(winning)=.37 we can write

.37+P(losing)=1

1-.37=P(losing)

.63=P(losing)

The direct route distance from the route down North Avenue and up Wolf Road distance to find the difference in distance between the two routes

What is a distance?

Distance is the measure of how far apart two objects or points are, usually measured in units such as meters, kilometers, miles, feet, or yards. It is a scalar quantity, meaning it only has magnitude and no direction. The distance can be calculated using various methods, such as using the Pythagorean theorem in a two-dimensional coordinate plane or using the distance formula in a three-dimensional space. Distance is an important concept in mathematics, physics, engineering, and other sciences, as well as in everyday life

Since we do not have the specific values for the distance between Point A and Point B, we cannot determine the exact answer to this question. However, we can use the Pythagorean theorem to estimate the difference in distance between the direct route from Point A to Point B and the route down North Avenue and up Wolf Road.

Assuming that we have the coordinates of Point A and Point B, we can use the distance formula to find the distance between them. Let's call the coordinates of Point A (x1, y1) and the coordinates of Point B (x2, y2).

Direct route:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Route down North Avenue and up Wolf Road:

Distance = Distance along North Avenue + Distance along Wolf Road

To find the distance along North Avenue and Wolf Road, we can use the distance formula with the coordinates of the two endpoints of each segment.

Once we have both distances, we can subtract the direct route distance from the route down North Avenue and up Wolf Road distance to find the difference in distance between the two routes

hence, The direct route distance from the route down North Avenue and up Wolf Road distance to find the difference in distance between the two routes

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The values of x and y are 1.8 units and 1.2 units respectively.

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

Given that, RT = 15x + 5y, RS = 20x - 5y, WT = 40 and ST=21.

Here, RS=RT+ST

20x-5y=15x+5y+21

5x-10y=21 -------(I)

RT=ST

15x+5y=21 -------(II)

Multiply equation (II) by 2, we get

30x+10y=42 -------(III)

Add equation (I) and (III), we get

5x-10y+30x+10y=21+42

35x=63

x=63/35

x=9/5

x=1.8 units

Substitute x=1.8 in equation (I), we get

5(1.8)-10y=21

y=1.2 units

Therefore, the values of x and y are 1.8 units and 1.2 units respectively.

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No, it is not required to be accurate. The growth rates of the two functions can vary.

It's not necessary for log f(n) to equal log g(n). Depending on the equation's constants and the inputs to the two functions, the growth rates of the two functions may differ. For instance, log f(n) = 2 log n and log

g(n) = 3 log n,

which are not equal, if

f(n) = n2 and g(n) = n3.

In this instance, log f(n) is equal to (log n) and log g(n) to (log n3), indicating that the two functions grow at various rates. Likely not equal are log f(n) and log g(n) if

f(n) = n and g(n) = n2,

respectively. Log f(n) is defined as (log n) and log Therefore, the statement "log f(n) = (log g(n)" is not necessarily true.

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Answer:

35$

Step-by-step explanation:

It will take 10 years and 11 months to payoff the balance. The total interest is $2,574.43

-7ab + 12a

Explanation:

-ab+12a-6ab

Collect like terms:

-ab - 6ab + 12a

-ab is the same as -1ab. Add it to -6ab, you will get negative 7ab

-7ab + 12a

The simplified expression = -7ab + 12a

By the Number line, the true statements are,

⇒ 1 < 3

⇒ - 3 < 1

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

We have to given that;

In Number line, Plot the numbers - 3, 1 and 3.

Now, After plotting the numbers in Number line, we get;

⇒ - 3 < 1 < 3

Thus, The correct statements are,

⇒ 1 < 3 and - 3 < 1

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Answer:

100000000

Solution:

9^4=6561

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

3^6=729

3^7=2187

3^8=6561

6561=(1×3^8)+(0+3^7)+(0×3^6)+(0^3^5)+(0×3^4)+(0×3^3)+(0×3^2)+(0×3^1)+(0×3^0)

100000000 with the base of 3

Answer:

terms-  6  2n  1/2d

coefficients- 2 & 1/2

constants-   6

Step-by-step explanation:

terms = 6, n₂ and (1/2)d

coefficient of d = 1/2

constant = 6

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

A coefficient is the numerical factor of a term containing constant and variables.

A constant is a number that is assumed not to change value in a given mathematical discussion.

Given, expression is

6+n₂+(1/2)d

In the above expression,

there are three terms:

6, n₂ and (1/2)d

there is one coefficient with variable d:

1/2

there is one constant:

6

Hence the given expression has three terms 6, n₂ and (1/2)d in which 6 is constant and 1/2 is coefficient of d.

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Answer:

\(x=-11\)

Step-by-step explanation:

So we have the equation:

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

Let's subtract 5 from both sides:

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

The left side will cancel. Subtract on the right:

\(x-2=-13\)

Now, add 2 to both sides:

\((x-2)+2=(-13)+2\)

Again, the left side will cancel. Add the right:

\(x=-11\)

And we're done!

Answer:

it should be x=5

Step-by-step explanation:

5+(x-2)= -8

3+x=8

-3    -3

answer is x=5

Answer:

g=92°

h=88°

m=89°

k=91°

Step-by-step explanation:

Answer:

h=88 g=92 m=89 k=91

Step-by-step explanation:

180-92=88

180-91=89

I'm not 100% certain about g and k, because I haven't done this in a while, but I'm pretty sure opposite angles equal the same thing. Also, a line is 180 degrees so just subtract the 180 from the number in the angle on the same line.

Answer:

9y+1=32y+1+54

collect like terms, a symbol changes once it crosses the equal to sign =

9y-32y=1+54-1

-23y=54

divide both sides by -23

-23y/-23=54/-23

-23 will cancel -23 to give y

y=54/-23

y=-2.4 or 2 whole number 8/23

Answer: y is -54/23

Step-by-step explanation:

The limit of the sequence is 6/7.

Given sequences are:

6n² + 5n + 6   and   7n² + 9n + 4 / n

As n approaches infinity, the highest exponent in the sequence will dominate the other terms.

We can calculate the limit of the sequence by using the highest power of the sequence.

Hence the limit of the sequence is found by dividing the highest power of the numerator and denominator.

Therefore, let us divide the numerator and denominator by n² in the second sequence.

Limit of the given sequence can be found by applying the ratio of the coefficients of the highest power of n in the numerator and denominator.

Let us find the limit of the sequence:

6n² + 5n + 6 / 7n² + 9n + 4 / n

Using the ratio of coefficients of the highest power of n in the numerator and denominator, we get:

L = 6 / 7

Therefore, the limit of the sequence is 6/7.

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Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

Answer:

C. 8√3

Step-by-step explanation:

Please mark me as brainlest!

Thanks!

48√2 in the simplest form of the expression √192.

Option D is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the √192 by factoring it into its prime factors:

192 = 2 × 2 × 2 × 2 × 2 × 3 × 3

Then, we can group the prime factors into pairs of two:

192 = (2 × 2) × (2 × 2) × (2 × 3) × 3

Simplifying each pair of factors under the square root gives:

\(\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}\)

Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:

\(16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}\)

Therefore,

48√2 in the simplest form of the expression √192.

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Answer:

2c^2

Step-by-step explanation:

8c^3d^2/4cd^2

divide the 8 by 4 to get 2

You subtract the powers so c^3-c=c^2   the d^2 cancel each other out

that leaves 2c^2

Answer:

Right-angled triangle

Step-by-step explanation:

It has a square angle, meaning it is a right angle, which is \(90^{o}\), making it a right angled triangle

Answer:

  x = 9

Step-by-step explanation:

You want the value of x that satisfies 6/40 = x/60.

This equation can be solved in one step: multiply by the inverse of the coefficient of x.

The coefficient of x is 1/60. Its inverse is 60/1 = 60. Multiplying the equation by 60 gives ...

  60(6/40) = 60(x/60)

  360/40 = x

  9 = x

__

Additional comment

Often, you will be advised to "cross multiply" as the first step in solving a proportion. Doing this would give you ...

  6(60) = 40(x)

Now, you would need to divide by the coefficient of x (or multiply by its inverse).

  6(60)/40 = (40x)/40

  360/40 = x = 9

This accomplishes in two steps what we did above in one step.

The greatest amount of gold that can be in the vault is 0 ounces.

To find the greatest amount of gold that can be in the vault, we need to determine the maximum number of 8 ounce tablets that can be stored.

If the total weight of gold and silver is 130 ounces, we can subtract the weight of the silver from the total to get the weight of gold.

Since each silver tablet weighs 5 ounces, the weight of silver can be found by dividing the total weight by 5.

130 ounces ÷ 5 ounces = 26 tablets of silver

Now, to find the maximum number of 8 ounce tablets that can be stored, we divide the weight of gold by 8.

130 ounces - (26 tablets × 5 ounces) = 130 ounces - 130 ounces = 0 ounces of gold

Therefore, the greatest amount of gold that can be in the vault is 0 ounces.

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Answer:

14 hours

Step-by-step explanation:

If you need to take 1 pill every 3.5 hours then this suggest that the effects of 1 pill lasts for 3.5 hours.

Therefore, if you take 4 pills then they will last: 4 x 3.5 = 14 hours

a) No, a single spray of 10 grams of butter would not be enough to entirely cover the area of 4 slices of toast at 2 meters. The area of 4 slices of toast is larger than the area of 1 slice of toast, meaning that it would require more butter than 10 grams to cover the entire area.

b) A single spray of 10 grams of butter would be enough to cover the area of 8 slices of toast at 3 meters.

c) These changes would affect the amount of butter on each piece of toast in that there would be more butter on each piece with a larger rack and further distance from the "butter gun".

d) At 5 meters from the gun, our up-and-coming chef would be able to spray 16 slices of toast with a single burst of 10 grams of butter. Each piece of toast would also have more butter than it would if it was sprayed at a closer distance.

e) To duplicate the original single-slice toast at 5 meters from the gun, the chef would need to reduce the amount of butter being sprayed. He could do this by simply reducing the distance between the gun and the toast rack.

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Complete question :

A harried chef can't keep up with his breakfast orders and decides to automate the process with a "butter gun." The gun provides a 10 gram burst of butter spray with each hit of the trigger. He starts with a rack that holds one piece of toast 1 meter away. The demand again exceeds supply and he realizes he can use the same gun to produce more toast by placing a larger rack at a greater distance. He finds that a four-slice rack works at a distance of 2 meters. Pleased with profits he carries the idea a step further and puts a holder 3 meters away, maintaining a 10 gram spray. See figure below.a) If 1 spray entirely covers the area of a single slice at 1 meter, can it entirely cover the area of 4 slices at 2 meters? Why or why not?b) How many slices can one spray cover with a 3 meter arragnement?c) How do these changes affect the amount of butter on each piece of toastd) Our up-and-coming chef moves the fun back to 5 meters. Predict how much toast he can spray and how much better each piece gets.e) Explain how he could duplicate the original single-slice toast at 5 meters from the gun.