If the measure of angle DBC = (12x - 3), the measure of angle DBE = (5x + 12), and the measure of angle EBC = (3x + 13), find the measure of angle EBC.

Answer: 3x + 2) 12x� + 20x� + 11x + 2

Divide the first term 12x� by 3x: %2812x%5E3%29%2F%283x%29=4x%5E2

and write 4x� above the 20x�:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

Multiply the 4x� by the (3x + 2) getting 4x%5E2%283x%2B2%29=12x%5E3%2B8x%5E2 and

write it under the first two terms and draw a line underneath:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�  

Subtract %2812x%5E3%2B20x%5E2%29-%2812x%5E3%2B8x%5E2%29=12x%5E3%2B20x%5E2-12x%5E3-8x%5E2=12x%5E2,

and write 12x� under the line under 8x�, like this:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x�

Now bring down the next term + llx and write in next to the 12x�

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Divide the first term on the bottom 12x� by 3x: %2812x%5E2%29%2F%283x%29=4x

and write + 4x above the 11x at the top, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Multiply the 4x by the (3x + 2) getting 4x%283x%2B2%29=12x%5E2%2B8x and

write it under the first two terms and draw a line underneath:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

Subtract %2812x%5E2%2B11x%29-%2812x%5E2%2B8x%29=12x%5E2%2B11x-12x%5E2-8x=3x,

and write 3x under the line under 8x, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x

Now bring down the last term + 2 and write in next to the 3x

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Divide the first term on the bottom 3x by the 3x at the left:

%283x%29%2F%283x%29=1 and write + 1 above the + 2 at the top,

like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Multiply the + 1 by the (3x + 2) getting 1%283x%2B2%29=3x%2B2 and

write it under the two terms at the bottom and draw a line

underneath:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

Subtract %283x%2B2%29-%283x%2B2%29=3x-3x=0,

and write 0 under the line under 2, like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

                           0

Now you are done and the answer is 4x%5E2%2B4x%2B1 and

since the remainder is 0 you do not have to put it over

the divisor 3x+%2B+2 and add it on like you do when

the remainder is not 0.

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

5x-5-3x=-19

2x-5=-19

2x=-14

x=-7

The modelled John's height with an equation is x = 41 - 6 × 2.5.

Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.

We need to model John's height with an equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let John's initial height be x.

Now, an equation = x = 41 - 6 × 2.5

Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.

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Answer:

There should be a table with the values of x  to find Y or vice versa, it depends.

Step-by-step explanation:

it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?

for example, if you are given x as 2 then, to find Y will be:

Y =2(2) + 3

Y = 7

Answer:

money

Step-by-step explanation:

m

Answer:

C 35

Step-by-step explanation:

Brainliest

Answer:

how to do what? there is no question attached

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9x20=180

Answer:

First answer (question 7) -18 (question 8) -13 (question 9) -3 (question 10) -2

Step-by-step explanation:

Answer:

#3:8n-4

Step-by-step explanation:

combine like terms

3n+n=4n

-7+5=-2

4n-2

multiply that by 2 to get the perimeter, which is 8n-4

Answer:

1/2 * 5/4

Step-by-step explanation:

when dividing fractions, you change the symbol to a multiplication sign and use the reciprocal of the second fraction

Answer:

C. 1/2 * 5/4

Step-by-step explanation:

Reciprocals

Note: It seems you have asked the exact same type of questions again and again. So, I will solve the first question. The rest of the questions is the carbon copy of the same concept and solution method. Hopefully, it would get your concept clear.

Answer:

The distance between the points (3, 6) and (8, -1)

Step-by-step explanation:

Given the points

Finding the distance between the points (3, 6) and (8, -1)

(x₁, y₁) = (3, 6)

(x₂, y₂) = (8, -1)

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

  [tex]=\sqrt{\left(8-3\right)^2+\left(-1-6\right)^2}[/tex]

  [tex]=\sqrt{5^2+7^2}[/tex]

  [tex]=\sqrt{25+49}[/tex]

  [tex]=\sqrt{74}[/tex]

[tex]d=8.6[/tex]  

Thus, the distance between the points (3, 6) and (8, -1)

NOTE: All the remaning questions have the same method of solution.

Answer:

26.29 cu. in.

Step-by-step explanation:

Answer: 62

Step-by-step explanation:

Every triangle’s angles add up to 180. since it’s a right triangle one of the angles is 90 degrees and the other is 28 degrees. so then you have to find the other angle which would made it add up to 180. which is 62.

28+90=118

180-118=62

Answer:

[tex] Formula\: v =\frac{s}{t} \\\\

v = 60\: mph[/tex]

Step-by-step explanation:

Formula:

[tex]v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph[/tex]

Answer:

see explanation

Step-by-step explanation:

The formula for v is

v = [tex]\frac{s}{t}[/tex]

When t = 3 and s = 180 , then

v = [tex]\frac{180}{3}[/tex] = 60 mph

Answer:

All 4 are solutions to the inequality.

Step-by-step explanation:

What we know:

The inequality requires that 48/f is less than or equal to 46.

Plug in each of the choices to see if that will work

48/12 ≤ 46

4 ≤ 46, so f = 12 will work.

48/-12 ≤ 46

-4 ≤ 46, so f = -12 will also work.

48/-3 ≤ 46

-16 ≤ 46, so f = -3 will work as well.

48/8 ≤ 46

6 ≤ 46, so f = 8 will work as well.

Since all 4 work, that means you should check all 4 choices on the question.

Answer:

C

Step-by-step explanation:

Answer:

D (The one on the very bottom)

Step-by-step explanation:

If he started with 22 and went fifteen up, the arrow should be pointing to the right to show an increase in the amount of money Max has.

22+15=37

Answer:

4.

Step-by-step explanation:

22 + 15 = 37

hope it helps

x=[tex]3[/tex]

[tex]3^{2} +x^{2} =[/tex][tex]18[/tex]

⇒[tex]x^{2} =18-3^{2}[/tex]

⇒[tex]x^{2}[/tex]=[tex]18-9[/tex]

⇒[tex]x^{2}[/tex]=[tex]9[/tex]

⇒[tex]x[/tex]=√[tex]9[/tex]

⇒[tex]x=3[/tex]

Data defines a claim that has been verified, examined, and backed up by numerous pieces of evidence.

Data is information that has been transformed into a format that is useful for transfer or processing in computing. Information that has been converted into binary digital form for usage with contemporary computers and communication channels is referred to as data.

As the volume of data being collected and stored increases, so do the units used to measure it. For instance, the relatively new concept of a "brontobyte" refers to a unit of data storage that is 10 to the 27th power of bytes.

File formats can be used to store data, such as ISAM and VSAM in mainframe systems. Another file format for storing, converting, and processing data is comma-separated values.

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The dimensions of pool 25.5m width, 76.5m length.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

let x=  Width

formula of area of rectangle = Length x Width

Given;

[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]

We can substrate [tex]3x^{2}[/tex] and 4 from both sides.

8x = 204

x = 25.5m width, 76.5m length.

(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]

(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]

The difference is 208[tex]m^{2}[/tex]

The dimensions of pool 25.5m width, 76.5m length .

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Answer:

[tex]\frac{24}{d}[/tex]

Step-by-step explanation:

the quotient is the result of dividing 24 by d , that is

quotient = [tex]\frac{24}{d}[/tex]

Answer:

7/3 mph

Step-by-step explanation:

knowing that:

distance traveled = velocity * time - velocity of the water * time

4 = v1 * 1.5 + v2 * 1.5

4 = v1 * 2 - v2 * 2

solve the system in any way you want,

v1 = 7/3 miles per hour

v2 = 1/3 miles per hour

p(x) = x³ - x² + x + 1

i ) p(-1) = (-1)³ - ( -1 )² + ( -1 ) + 1

= -1 - 1 - 1 + 1

= -2

ii ) p( 1 ) = 1³ - 1² + 1 + 1

= 1 - 1 + 1 + 1

= 2

Now ,

[ p(-1) + p(1) ]/2

= [ -2 + 2 ]/2

= 0

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The amount of cups that Lola uses to make the rice pudding for dessert is 3 3/4 cups.

How many cups were used to make rice pudding?

A fraction is a number that is made up of numerator and denominator. An example of a fraction is 3/4.

Number of cups were used to make rice pudding = number of cups Ola has - number of cups used to make sushi rolls

4 1/2 - 3/4

4 4 2-3/4  = 3 3/4 cups

What is fraction ?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

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Answer:

4/7 divided by 15 is 4/105. so no its not an improper fraction

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

when you carry the 6 to y=6y then you divide the number by two