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.

Answers

Answer 1

Consider the below figure attached with the question.

Given:

m∠DBC = (12x - 3), m∠DBE = (5x + 12), m∠EBC = (3x + 13).

To find:

The measure of ∠EBC.

Solution:

From the figure, it is clear that,

[tex]m\angle DBC-m\angle DBE=m\angle EBC[/tex]

Putting the given values, we get

[tex](12x-3)-(5x+12)=(3x+13)[/tex]

[tex]12x-3-5x-12=3x+13[/tex]

[tex]7x-15=3x+13[/tex]

[tex]7x-3x=15+13[/tex]

[tex]4x=28[/tex]

Divide both sides by 4.

[tex]x=7[/tex]

Now,

[tex]m\angle EBC=(3x+13)^\circ[/tex]

[tex]m\angle EBC=(3(7)+13)^\circ[/tex]

[tex]m\angle EBC=(21+13)^\circ[/tex]

[tex]m\angle EBC=34^\circ[/tex]

Therefore, the measure of angle EBC is 34 degrees.

If The Measure Of Angle DBC = (12x - 3), The Measure Of Angle DBE = (5x + 12), And The Measure Of Angle

Related Questions

4/7 Divided by 15 in a improper fraction

Answers

Answer:

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

Step-by-step explanation:

4/105 sorry I’m helping as many ppl as I can so I’m trying to answer fast

Is the equation proportional?
y = 2x + 6

Answers

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

if the measure of angle 6 is 28⁰ then the measure of angle 3 is​

Answers

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

complete the table for values y= 2x+ 3

Answers

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

can you help me please? ( I didn't mean to pick a answer)​

Answers

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

Does anybody know how to do that

Answers

Answer:

how to do what? there is no question attached

Step-by-step explanation:

there is no question attached


Help needed! Plz A graph of a linear inequality in two variables is shown below:

Answers

Answer:

C

Step-by-step explanation:

Your answer is D) y>2x-3

Let me know if you want an explanation!

If p (x)is equals to x cube minus x square + X + 1 find value of P (- 1)+ p(1) / 2

Answers

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

https://brainly.in/question/7358377

Can someone help me please

Answers

Here’s the the answer and an explanation of how to get it :)

I’m new and I need help with this question.

Answers

Answer:

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

Step-by-step explanation:

a rectangular pool is 3 times as long as it is wide. a redwood walkway 2m wide with an area of 208 m borders the pol. what are the dimensions of the pool

Answers

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 .

To Learn more about area of rectangle: brainly.com/question/20693059

#SPJ4

Use the distance formula to find the distance between the points (3, 6) and (8, -1). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (14, -2) and (8, -9). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (-5, -7) and (-14, -12) Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (10, 5) and (4, 9)Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (5, 13) and (9, -21). Round your answer to the nearest tenth place.

PLEASE HELP ASAP!! a

Answers

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)

[tex]d=8.6[/tex]  

Step-by-step explanation:

Given the points

(3, 6)(8, -1)

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)

[tex]d=8.6[/tex]  

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

The average growth for 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. Model
Johns height with an equation.

Answers

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.

What is 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.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

ola has 4
1
2
cups of rice. She uses
3
4
of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?

Answers

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.

To learn more about subtraction of fractions, please check: brainly.com/question/915789

#SPJ9

5(x -1) - 3x = -19
solve for x​

Answers

Answer:

-7

Step-by-step explanation:

5x-5-3x=-19

2x-5=-19

2x=-14

x=-7

plss help
math work
bleh

Answers

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.

A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!

Answers

Answer:

B

Step-by-step explanation:

9x20=180

What is the measure of angle x? (1 point)
1) 35 degrees
O2) 40 degrees
3) 45 degrees
4) 50 degrees

Answers

40° is right I believe so

A boat travels 4 miles downstream in half an hour, and the same distance upstream in 2 hours. What is the speed of the boat in still water?

Answers

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

10°
55°
x х
Solve for y in the figure above.

Answers

y=145
Explanation:
A triangle’s angles add up to a total of 180 so you would subtract 55 from 180 and then subtract 90 because of the right angle, then you would end with x=35. Since x and y are supplementary they add to 180...so then you subtract 35 from 180 and then you get y=145.

4.
The quotient of 24 and d

Answers

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]

Find the value of x in this figure. Explain your reasoning.

Answers

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]

Max had $22. His mother gave him $15 more. How much does Max have
now? Click on the number line that shows the right answer.

Answers

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

PLEASE help. I will mark as brainliest

Answers

Answer:

C 35

Step-by-step explanation:

Brainliest

The answer is 35! If you follow the pattern by moving over one and up one, then you’ll get to 35 after 7 hours.

What is the diameter of a sphere with a volume of 9409 in, to the nearest tenth of an inch?​

Answers

Answer:

26.29 cu. in.

Step-by-step explanation:

can anyone please help me ASAP?I have included a picture.

Answers

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

y
2010
2000
1990
1980
1970
1960
1950
Х
20 30 30 45 40 40 60

Answers

Answer:

money

Step-by-step explanation:

m

what the answer giving brainliest !!!!!!

Answers

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

What is the result when 12x3 + 20x2 + 11x + 2 is divided by 3x + 2?

Answers

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:

which word describes a statement that has been accepted, tested, and supported by multiple sets of evidence? theory theory hypothesis hypothesis procedure procedure data

Answers

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

What do you mean by data?

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.

To learn more about data, visit:

https://brainly.com/question/20523497

#SPJ4

Other Questions
Fr3e points cause I am generous plz help i will report if your not trying to answer at one of george washington's parties, each man shook hands with everyone except his spouse, and no handshakes took place between women. if 1313 married couples attended, how many handshakes were there among these 2626 people? the driver should wait at the limit line at first and then ease out into the intersection before completing the turn. Mrs. Farnam is getting new carpet in her class! Her classroom is 12 meters long and 22 meters wide. How many square meters of carpet does she need? What appears flush right in the header on every page?Last NameAbbreviated TitlePage NumberNothing .A card that connects directly to the motherboard of the computer and has external sockets so that the computer can be connected to a network via cables is called To manufacture scooters, the manufacturer has a fixed cost of 34,400$$ plus a variable cost of n $$ per scooter. Find 100$$, the number of scooters that need to be produced so that the average cost per scooter is 180$$. can i please have some help The adaptive traits that allowed for plant transition to land includeSelect one:O A. ability to photosynthesizeO B. waxy cuticle with stomatanO C. chlorophyll1O D. pollen grain46 Why do you think the founding in the First Bank came after the revolution? Which of the following underlined portions from the lines below show consonance? a. I will die Before My Timeb. when my heart can beat no morec. I have come 2 grips with the possibilityd. Because I feel the shadows Depth Which statement about dancing in ancient Egypt is correct?A: Music performances would often have dancers. It was important for the dancers to be completely quite as to not distract from the musicB: Music performances would often have dancers who sometimes added to the music with clapping, stomping, and wearing jewelry that would rattle as they moved.C: Music and dance were both important but were always done separately.D: Dancing was againist the law at time. 4 (-6) =please write the answer as a fraction According to the Declaration of Independence, from where do governments derive the right to govern? Themselves The Creator Their family The governed Which part of speech should you analyze to identify the narrator? What are the solutions of the quadratic equation?3x? - 23x + 40 = 0 Could anybody help me with this i will cashapp u $5 if its right Which is the BEST goal to use when creating a marketing strategy?Oraise awareness of the brandincrease sales by 5 percentget more customers to visit the websiteadd teenagers to the target market Cassette tape is an example of ____ memory