In the diagram, bisects ABC. Find mABD and mDBC

In The Diagram, Bisects ABC. Find MABD And MDBC

Answers

Answer 1

Answer:

Angle ABD =  45 degrees

Angle DBC =  45 degrees

Step-by-step explanation:

If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:

angle ABD = Angle DBC

9 x + 9 = 12 x - 3

solve for x by subtracting 9x from both sides,

9 = 3 x - 3

and adding 3 to both sides:

9 + 3 = 3 x

12 = 3 x

divide both side by 3 to isolate "x":

12/3 = x

x = 4

And now we can find the value of each angle:

Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees

Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees


Related Questions

What is the slope of the line shown below? (-4, 3) and (3, 1)

Answers

Answer:

did u attach a pic of the graph or smth?

Answer:

Step-by-step explanation:

slope of line passing through (-4,3) (3,1)

= (3-1)/(-4-3)

= -2/7

Carson's pool is leaking at a rate of 18 gallon of water every 14 hour. If the leak continues at the same rate, how much water will have leaked from Carson's pool after 1 hour?

Answers

1.285 gallons of water

Answer:

1 gallon water has leaked

Step-by-step explanation:

if $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in 3 years ?

Answers

Answer:

154.44

Step-by-step explanation:

What is 13% of 396?

Y is 13% of 396

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 13% * 396

Converting percent to decimal:

p = 13%/100 = 0.13

Y = 0.13 * 396  

Y = 51.48

Now multiply by 3 (amount of continuous years)

51.48 * 3

=154.44

Hope it helps!

Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend

Answers

answer:

Juanita spent 1 1/2 times as much as Jared, how much did she spend?

$63

explanation:

one and a half of 42 is: 63

so,

the answer is Juanita spent $63!

Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.

What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

How are mixed fractions written?

Follow these procedures to convert an incorrect fraction to a mixed number:

Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.

Given: Jared spent $42 on a cell phone.

We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.

So,

42(3/2) = $63

Therefore, Juanita spent $63 which is  3/2 amount spent by Jared in buying the cell phone.

Learn more about mixed fraction here:

https://brainly.com/question/414559

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5.7% interest on $375 18 month loan

Answers

The first interest payment will be $1.66

1.Find the product of 419 and 321. ​

Answers

Answer:

134499

Step-by-step explanation:

When someone asks for the product of something they are saying multiply the two values.

So,

419 x 321 = 134,499

Answer:

$134,499

Step-by-step explanation:

The product is the result of two numbers that are multiplied. In this case 419 and 321.

419 x 321 = 134,499

Im dumb help its for a math asighnme t i keep gettinh wrong ignore my spelling this
Laggy

Answers

Answer:

B

Step-by-step explanation:

40-30= 10

10/40 = 1/4 or 25%.

I think 1/4, i have to write 20 characters so ya

point slope equation slope=8 point on line is (5,6)​

Answers

Answer:

c

Step-by-step explanation:

Answer:

y=8x-34

Step-by-step explanation:

3x-(-54x)=45= whats the sum

Answers

Answer:

x= 15/19 = 0.789

Step-by-step explanation:

Answer: 0.789 is the correct answer plz brainliest big brother

A stack of books is 62 inches high. How high is it in feet and inches?

Answers

Answer:

5 feet and .16667 inches

Step-by-step explanation:

if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2

A researcher is conducting research on using technology in teaching. The researcher has two groups. The first group receives instruction via a PowerPoint presentation that is online. The second group attends a class and receives instruction from a teacher face to face. The researcher classifies the students based on when they volunteer for the study. The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher. With respect to this study, we could identify that:

Answers

Answer:

This study is good because we have minimized sampling error.

Step-by-step explanation:

We are given that . The researcher has two groups.

The researcher classifies the students based on when they volunteer for the study.

The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.

A. This study is poor because the researcher did not use random sampling.

B. This study is poor because the researcher did used random sampling.

C. This study is good because we have minimized sampling error.

D. This study is good due to the equal sample size in each group.

Option C is true : This study is good because we have minimized sampling error.

Let f(x)=8^x

Which function represents a transformation of f(x) by a vertical stretch with factor 2?

A. g(x) = 8^2x
B. g(x) = 1/2 • 8^x
C. g(x) = 2 • 8^x
D. g(x) = 8^1/2x​

Answers

The correct answer is probably C

Compute the mean, median, and mode for the following three sets of scores saved.

Score 1 Score 2 Score 3

3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123

Answers

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

Could someone give me an answer to this please ! :)

Answers

Answer:

8units

Step-by-step explanation:

Given parameters:

  Area of triangle  = 32units²

   Base  = 8units

   

Unknown:

height x of the triangle = ?

Solution:

The area of a triangle is given as;

    Area = [tex]\frac{1}{2}[/tex] x base x height

 Input the parameters and solve for the height;

     32  = [tex]\frac{1}{2}[/tex] x 8 x h

     32 = 4h

      h = 8

height of the triangle is 8units

Jada wants to know how fast the water comes out of her faucet. what information would she need to know to be able to determine that​

Answers

Answer:

Time, and Amount

Step-by-step explanation:

Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.

The information that Jada needs to know how fast the water comes out of her faucet include time and the amount of water.

Since Jada needs to know how fast the water comes out of her faucet include time and the amount of water. For example, let's say the amount of water coming out is 20 liters in 4 hours.

Therefore, this means the amount of water coming out per hour will be:

= 20 liters / 4 hours

= 5 liters per hour.

The main information needed is the time and the amount of water.

Read related link on:

https://brainly.com/question/17908987

Which figure shows the net of a rectangular pyramid?

Answers

Answer:

d

Step-by-step explanation:

. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.

Answer:

D

Step-by-step explanation:

The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.

The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?

Answers

Answer:

There are 4 small apples in 1 lb of apples.

Step-by-step explanation:

From the information given, you know that a bushel of small apples contains twice as many apples as a bushel of large apples. So, in order to know the amount of apples in a bushel of small apples you have to multiply the number of apples in a bushel of large apples by two:

84*2=168

Now, you can use a rule of three to find the number of small apples in 1 lb of apples given that you know that each bushel of apples that has 168 small apples weighs 42 lbs:

168 apples → 42 lbs

       x         ←    1 lb

x=(168*1)/42= 4

According to this, the answer is that there are 4 small apples in 1 lb of apples.

Answer:

4 small apples in 1lb of apples I think

Step-by-step explanation:

Choose all the lines that are parallel to the line pictured in the graph bellow.

Answers

Answer:

a. y = -½x

b. y = -½x + 3

c. 2y = -x - 4

e. x + 2y = 8

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.

First, find the slope of the line on the graph:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)

[tex] m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2} [/tex]

Slope of the line on the graph is -½.

Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.

Slope-intercept form is given as y = mx + b, where, m = slope.

Option 1: y = -½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 2: y = -½x + 3

The slope of this line is also -½, therefore it is parallel to the line on the graph.

Option 3: 2y = -x - 4

Rewrite in slope-intercept form.

y = -x/2 - 4/2

y = -½x - 2

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 4: y = 2x - 5.

The slope of this line is 2, therefore it is NOT parallel to the line on the graph.

Option 5: x + 2y = 8

Rewrite in slope-intercept form.

2y = 8 - x

y = 8/2 - x/2

y = 4 - ½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

Lauren can wash a
car in 20 minutes.
How long will it take,
in hours, for her to
wash 60 cars?

Answers

Answer:

The answer is 20 hours

Step-by-step explanation:

20x60=1200

1200÷60=20

Answer:   20 hours

=========================================

One way to solve

1 car = 20 minutes

3*(1 car) = 3*(20 minutes) multiply both sides by 3

3 cars = 60 minutes

3 cars = 1 hour

20*(3 cars) = 20*(1 hour) ... multiply both sides by 20

60 cars = 20 hours

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

Another way to solve

(1 car)/(20 minutes) = (60 cars)/(x minutes)

1/20 = 60/x

1*x = 20*60 ... cross multiply

x = 1200 minutes

x = (1200 min)*( (1 hr)/(60 min) )

x = (1200/60) hr

x = 20 hours

Solve by substitution: y = 3x + 4 and y = -2x – 1.

Answers

Answer:

x = -1

y = 1

Step-by-step explanation:

y = 3x+4

y = -2x-1

-2x-1 = 3x+4

-5x - 1 = 4

-5x = 5

x = -1

Substitute this x value into 1 of the equations given in the problem:

y = 3(-1)+4

y = -3+4

y = 1

Answer: the answer to x= -1 and y= 1

how do i find the values for mean and standard deviation

Answers

Answer:

1/ Mean: find the average of the numbers by add up all the numbers then divide by how many numbers there are.

2/ Standard Deviation: First, for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. Take the square root of that and we are done!

Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a week

She gives her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person

at each of these speeches. Her average expenses for each presentation, including renting the auditorium, are about $15,000. The

cost of meals, motels, jet travel, and support personnel total $75,000 per week. How many weeks will Ms Watts need to travel if she

wants to earn $1,400,000 per year?

Answers

Answer:

5 weeks

Step-by-step explanation:

We are told that the auditorium holds an average of 1000 people each.

And that she charges $40 each.

Thus;

Total income for each speech is;

1000 × 40 = $40000

Since she gives an average of 10 presentations each week.

Total income per week = 10 × 40000 = $400,000

Now,the expenses she makes for each speech weekly is;

Renting auditorium = $15000

Motel, jet expenses, support personnel = $75000

Thus,

Total expenses per week = 15000 + 75000 = $90000

Now, total profit per week is;

P_weekly = Total income per week - Total expenses per week

P_weekly = $400000 - $90000

P_weekly = $310000

There are 52 weeks in a year, thus, profit in a year is;

P_yearly = 52 × 310000 = $16120000

Now, we want to find out how long it took her to make $1,400,000 a year.

We know that;

$16120000 was achieved in 52 weeks

Thus;$1,400,000 will be achieved in;

(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.

One company sells a 4 gallon jug of lemonade sells for $24 dollars another sells 8 pack of 1 quart bottles for $16, which one is cheaper?

Answers

Answer:

the 4 gallon jug of 24$ is cheaper

Answer:

The company that sells 4 gallon jug of lemonade for $24 is cheaper

Step-by-step explanation:

The second company sells 8 packs of 1 quart bottles for $16 which basically means 8 quarts for $16.

There are 4 quarts in a gallon so if there are 8 quarts,  it would equal 2 gallons.

Now we know that the second company sells 2 gallons of lemonade for $16. So to find how much they will sell for 4 gallons, we just need to multiply by 2 for gallons and the price.

The second company sells 4 gallons of lemonade for $32.

This means that the first company is cheaper.

Hope this helps and pls do mark me brainliest if you can:)

what is 1,557 divided by 34

Answers

if you have to round it, it’s about ≈45.8

Answer:

45.7941176471

Step-by-step explanation:

It is very important that you
and avoid errors to happen.
Review
Instruction:
Factor each of the following quadratic expression.
1. x² + x
2. 5x2 - 25x
3. x2 - 16
4. x² + 4x + 4
5. x2 - 5x + 6

Answers

Step-by-step explanation:

Given expressions:

1. x² + x

2. 5x² - 25x

3. x² - 16

4. x² + 4x + 4

5. x² - 5x + 6

   Problem: Factor each of the quadratic expression

Solution:

A quadratic expression is an expression whose highest power is two.

1. x² + x

     For this expression:

       x² + x

    Factorizing x since  it is a common term;

       x(x + 1)          

   

2. 5x² - 25x

    For this expression;

   Factorize 5x since it common to both of them;

      5x(x - 5)

3. x² - 16

    For this expression;

  Apply the differences of two squares;

     x² - 16

     x² - 4²;

    Note;  x² - y²  = (x-y)(x+y)

So, x² - 4² = (x-4)(x + 4)

4. x² + 4x + 4

   To solve this,

     Find two numbers whose product will be 4 and sum also 4;

  x² + 4x + 4 = x² + 2x + 2x + 4

                    = x(x + 2) + 2(x + 2)

                     = (x + 2)(x + 2)

5. x² - 5x + 6

    To factorize this expression, simply find two numbers whose sum is -5 and product is 6;

            x² - 5x + 6 = x² - 3x - 2x + 6

                              = x (x - 3) -2(x - 3)  

                              = (x -2)(x-3)

find a function r(t) that describess the curve where the following surfaces intersect. answere are not unique x^2 y^2

Answers

Complete Question

find a vector function that represents the curve of intersection of the two surfaces. The cylinder  [tex]x^2+y^2= 36[/tex] an the surface [tex]z=xy[/tex]

Answer:

The function is  [tex]r(t) =  6cos(t) \ i + 6sin (t) \ j +  36costsint \ k[/tex]

Step-by-step explanation:

From the question we are told that

   The equation of the cylinder is  [tex]x^2+y^2= 36[/tex]

   The equation of the surface is  z = xy

Generally the general form of this  function is  

      [tex]r(t) =  x(t)i + y(t)j +  z(t) k[/tex]

Generally to confirm the RHS and the LHS of the equation for the cylinder

Let take x (t) =  6cos(t)

and        y(t) = 6sin (t)

So

        [tex]x^2  +  y^2  = [ 6cos(t)]^2 + [6 sin (t)]^2[/tex]

=>     [tex]x^2  +  y^2  = 6^2 cos^2t + 6^2 sin ^2t[/tex]

=>      [tex]x^2  +  y^2  = 6^2 [cos^2t +  sin ^2t] [/tex]    

Generally  [tex]cos^2t +  sin ^2t = 1[/tex]

So

        [tex]x^2  +  y^2  = 36[/tex]  

So at  x (t) =  6cos(t) and  y(t) = 6sin (t) the RHS is equal to LHS

  So

   [tex]z(t) = x(t) *  y(t)[/tex]

    [tex]z(t) = (6 cos(t)) *  (6 sin(t))[/tex]

=>     [tex]z(t) =36costsint[/tex]

So the function is  

     [tex]r(t) =  6cos(t) i + 6sin (t) j +  36costsint k[/tex]

   

you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *

y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4

Answers

Answer:

y=2x-4

Step-by-step explanation:

Parallel lines have the same gradient.

The gradient of this line is 1/2.

All the equation the have a gradient of 1/2 accept for the last one.

10
-25 please answer​

Answers

Answer:

(-15)

Step-by-step explanation:

10-25 = (-15)

Please follow me and mark as brainliest

Please someone explain how to solve for x.

Answers

Answer:

x =30

Step-by-step explanation:

We can use ratios to solve

18            20

--------- = ----------

18+27      20+x

Simplify

18            20

--------- = ----------

45         20+x

Using cross products

18 *(20+x) = 20*45

18 ( 20+x) = 900

Divide each side by 18

18 /18*(20+x) = 900/18

20+x =50

Subtract 20 from each side

20+x-20 = 50-20

x=30

Answer:

30

Step-by-step explanation:

to solve this type of problem you need to cross multiply.So you get the pairs which are 18 and 20 and 27 and x so the equation looks like 18/20=27/x so 18 times x is 18x and 20 times 27 is 540 so the equation is now 18c=540 then you divide both sides by 18 so x will be isolated which means x will be by itself so 18x divided by 18 is x and 540 divided by 18 is 30 so the equation is now x=30

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