AD= 36 cm. Points C, B∈AD, such that AB:BC:CD=2:3:4. Find the distance of midpoints of the segments AB and CD. HELP ASAP PLZ will give brainiest if u get it right!

AD= 36 Cm. Points C, BAD, Such That AB:BC:CD=2:3:4. Find The Distance Of Midpoints Of The Segments AB

Answers

Answer 1

Answer:

Distance of midpoints of the segments AB and CD is 24 cm.

Step-by-step explanation:

Given that

AD = 36 cm

Points C and B are in segment AB.

The ratio of distance AB:BC:CD = 2:3:4

To find:

Distance of midpoints of the segments AB and CD  ?

Solution:

The ratio of distance AB:BC:CD =2:3:4

Let AB = [tex]2x[/tex]

Let BC = [tex]3x[/tex]

Let CD = [tex]4x[/tex]

Now, it is clear that AD = AB + BC + CD

[tex]\Rightarrow 36=2x+3x+4x\\\Rightarrow 36=9x\\\Rightarrow x = 4\ cm[/tex]

Putting the value of x to find AB, BC and CD:

AB = [tex]2\times 4 = 8\ cm[/tex]

BC = [tex]3\times 4 = 12\ cm[/tex]

CD = [tex]4 \times 4 = 16\ cm[/tex]

Now, mid point of AB will be [tex]\frac{8}2 = 4\ cm[/tex] on the right side of point A.

And

mid point of CD will be [tex]\frac{16}2 = 8\ cm[/tex] on the left side of point D.

[tex]\therefore[/tex] If we subtract 4 and 8 from AD we will get distance between mid points of segments AB and CD.

So, Distance of midpoints of the segments AB and CD = 36 - 4 -8 = 24 cm.

Distance of midpoints of the segments AB and CD is 24 cm.


Related Questions

[tex]\frac{s+24}{7}[/tex] = –2

s = ______

Answers

Step-by-step explanation:

S+24/7 = -2

7×{S +24/7} = -2×7

S+24 = -14

S+24-24 = -14-24

S = -38

6(q − 76) = 48 q = _____

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

q = 84

▹ Step-by-Step Explanation

6(q - 76) = 48

q - 76 = 8

q = 8 + 76

q = 84

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Your answer to this equation is 84. q = 84

Step-by-step explanation:

6(q - 76) = 48

First, take q and subtract it:

q - 76 = 8

Next, do this:

q = 8 + 76

Therefore, q = 84

PLEASE HELPP!! QUESTION IS BELOW

Answers

Answer:

C

Step-by-step explanation:

Because the four line make a quadrilateral in which line a and d are parallel , line b and c are parallel. Then the others like line a and b ,a and c ,d and b are perpendicular.

If you draw it , it will be easier

Hope it helps ... Brainliest please

Answer: c

Step-by-step explanation:

PLEASE ANSWER! FIRST CORRECT ANSWER GETS BRAINLIEST!​

Answers

Answer:

The answer should be 20.

Step-by-step explanation:

First, you need to understand the abbreviated list: PEMDAS. I'm not sure if you guys learned this or not, but it helps to know when solving problems like this.

So, if you don't know: PEMDAS is a list of what order you would need to start with when solving a problem. The order is Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

With that in mind, we'll start by looking at the numbers in the numerator of this fraction. (Doesn't matter if you start with the numerator or denominator first.)

You want to start with the numbers in the parentheses as that is the first letter in the PEMDAS phrase.

[tex](7-6.35) = 0.65[/tex]

Now, we have division and an addition sign next. According to PEMDAS, you want to start with Division before you Add. So, you will end up having a 10 in the numerator. (I'm assuming you can use a calculator for this, so I'm not showing how to divide the decimals.)

[tex]\frac{(0.65)}{6.5}+9.9=0.1+9.9 =10[/tex]

Save that number somewhere for now since we will have to come back to it later. For the denominator, we have a set of parentheses that the problem wants us to focus on so, ignore the [tex]7\frac{1}{24}[/tex] for now.

Start with the first set of numbers that have the division sign in between.

[tex]\frac{1.2}{36} =0.03333[/tex]

Don't add just yet after getting this number. You want to divide the 1.2 and [tex]\frac{1}{4}[/tex] since Division needs to be done first before Adding or Subtracting.

[tex]\frac{1.2}{\frac{1}{4} }=4.8[/tex]

The resulting numbers in the parentheses should look like this now (we're still ignoring the [tex]7\frac{1}{24}[/tex] at the end after the parentheses):

[tex](0.03333+4.8-1\frac{5}{16})=3.520833333[/tex]

This expression is also the same as this if you wanted to change the fraction at the end of the parentheses:

[tex](0.03333+4.8-\frac{21}{16})=3.520833333[/tex]

Now you can finally take this number and divide it by [tex]7\frac{1}{24}[/tex] or [tex]\frac{169}{24}[/tex].

[tex]\frac{3.520833333}{\frac{169}{24} }=0.5[/tex]

These are really big numbers when you are dividing so hopefully you don't have to solve this all out in your head or by paper. Now, remember that 10 we got from the numerator earlier? We can finally use that here where we have that as our numerator and 0.5 as our denominator.

[tex]\frac{10}{0.5} =20[/tex]

This gives you the final answer of 20.

Find the missing segment in the attached image

Answers

Answer:

? = 78

Step-by-step explanation:

Use similar triangles.

26/12 = (26 + ?)/48

13/6 = (26 + ?)/48

6(26 + ?) = 13 * 48

156 + 6? = 624

6? = 468

? = 78

Answer:

The missing segment is equal to 78

Step-by-step explanation:

Using the similarity of triangles:

[tex]x=?[/tex]

[tex]$\frac{x+26}{48}=\frac{26}{12} $[/tex]

[tex]12(x+26)=48 \cdot 26[/tex]

[tex]12x+312=1248[/tex]

[tex]12x+312=1248[/tex]

[tex]12x=936[/tex]

[tex]x=78[/tex]

Choose the single logarithmic expression that is equivalent to the one shown.

log2 6 + log2 2 − log2 8

Answers

Answer:

C. log2 3/2.

Step-by-step explanation:

When you are adding two logs with the same base, you multiply.

So, log2 6 + log2 2 = log2 6 * 2 = log2 12

When you subtract two logs with the same base, you divide.

So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2

The answer is C. log2 3/2.

Hope this helps!!

its C because the base of the log is all same. of its + you have to multiply and if its - you have to divide. so (6 times 2 divide 8 ) youll get 3 over 3

Determine the domain and range of this set of ordered pairs.
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
O A. Domain = (-3,-1,0,4,6,7), range = (-5,2,4,6,8,9}
O B. Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
O C. Domain = {-5,2,8,9), range = (-3,-1,0,4,6,7)
D. Domain = (-5,2,4,6,8,9}, range = {-3,-1,0,7}

Answers

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

PLEASE!!! HELP!!! Question: If you have points on a graph that plot (1,7), (2,8), (3,5) and (4,6) what would be the slope?

Answers

Answer:

1

Step-by-step explanation:

You only need two points to find the slope.

Let's use (1,7) and (2,8).

The formula for slope is (y2-y1)/(x2-x1)

Let's plug the values in:

(8-7)/(2-1) = 1.

So, the slope is 1.

the slope is 1 therefore that’s the answer

I need help ASAP for this question

Answers

Answer D.
Hope that helps!

Answer:

ans is d

hope it helps

mark as brianliest

Use your calculator to find the value of each trig function below. Round to the tenth place.

Answers

Answer: 0.7

Step-by-step explanation: use calculator XD

The value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.

Given that, sin 24°, cos 45° and tan 88°.

We need to find the value of the trig function.

What are the six trigonometric functions?

The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent.

Now, sin 24°=0.4067≈0.4

cos 45°= 0.70710≈0.7

tan 88°=28.63625≈28.6

Therefore, the value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.

To learn more about the trigonometric functions visit:

https://brainly.com/question/6904750.

#SPJ2

Find the value of the logarithm.
log 210
Round your answer to the nearest thousandth.

Answers

Answer:

5.347

Step-by-step explanation:

5.3471075307175.

Answer:

Your correct answer is 5.347

Father has two apples, three pears, and two oranges. Every morning, during one week, he gives one fruit to his son for breakfast. How many ways are there to do this?

Answers

Answer:

210

Step-by-step explanation:

Since the condition does not state an opposite, I should assume that the apples are not distinguishable, same as the pears and the oranges.

So we have permutations of 7 fruits with 2 indistinguishable apples, 3 indistinguishable pears and 2 indistinguishable oranges.

The number of distinguishable arrangements is

   7                    1x2x3x4x5x6x7

---------                ----------------------           = 210

2x3x2                   2x6x2

Answer.  There are 210 ways to do it.

State how many imaginary and real zeros the function has.

f(x) = x4 + 12 x3 + 37x2 + 12x + 36

Answers

Answer:

Step-by-step explanation:

If you'd graph this function on a graphing calculator or graphing utility, you'd see quickly that the graph never touches or crosses the x-axis.  This tells us immediately that there are no real roots; all four roots are complex or imaginary.

Answer:

2 real roots and 2 imaginary roots

Step-by-step explanation:

The roots are x=i,-i,-6,-6.

Laura’s overall monthly living expenses are $1,600. How much money does she have at the end of the month to put into savings?

Answers

Step-by-step explanation:

The question has missing details nevertheless we can make head way with the information on ground.

Given that Laura's overall monthly living expenses are  $1,600

in order to calculate her savings for the month we need to know her income for the month, that is the overall sum she has at hand before incurring any expenses(this is the missing detail).

Say this overall amount is "x"

her saving for the month = [tex](x- 1600)[/tex]

PLSSS HELP State the maximum number of turns the graph of each function could make 1. f(x)=x^5-3x+1 2.f(x)=-x^7-7x^5-4x^3

Answers

Answer:

max for 5th-degree: 4 turns. This function: 2 turns.max for 7th-degree: 6 turns. This function: 0 turns.

Step-by-step explanation:

In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.

__

1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.

__

2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.

Let #N mean the number of days in year N. What is the value of #1988 + #1989 + #1990 + #1991?

A) 1460
B) 1461
C) 1462
D) 1463

Answers

Answer:

I need help though cause I had this for homework right now

Step-by-step explanation:

The diagram shows two congruent regular polygons joined together.

Work out the number of sides
of each polygon.

Note: Please write your final answer as ... sides.​

Answers

10 sides

360-72=288
288 divided by 2 is 144
Decagon have 144 degree interior angles

Mr. Davis bought 2 chairs during the sale. The regular price of each chair was $168. What was the total price, in dollars, for both chairs during the sale, not including tax?

Answers

Answer:

tatol price= $335.16

Step-by-step explanation:

regular price for one item= $168

sale=1/2 %

168 × 0.5/100 = 0.84 (discount)

price of discounted chair= 168-0.86

                                         = 167.16

168+167.16 = $335.16

Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo. A graph titled Temperature versus Zoo Visitors has Degrees Fahrenheit on the x-axis, and Visitors on the y-axis. Points are at (70, 100), (77, 96), (90, 75), (93, 73), (98, 60). Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.

Answers

Answer:

A

Step-by-step explanation:

it right on edge

Answer:

A.

Step-by-step explanation:

Did the unit test in edge and got 100

To create an open-top box out of a sheet of cardboard that is 25 inches long and
13 inches wide, you make a square flap of side length x inches in each corner by
13 in.
cutting along one of the flap's sides and folding along the other. (In the diagram,
a solid line segment in the interior of the rectangle indicates a cut, while a
dashed line segment indicates a fold.) Once you fold up the four sides of the
box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the
volume of the box.

Answers

Step-by-step explanation:

length of the box is a = 25 -2x

width of the box is b =13 -2x

height of the box is x

and x < 6,5

so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x

f'(x) = 12x^2 - 152x + 325

to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94

so x = 2,72 inches

Answer:

length of the box is a = 25 -2x

width of the box is b =13 -2x

height of the box is x

and x < 6,5

so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x

f'(x) = 12x^2 - 152x + 325

to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94

so x = 2,72 inches

Step-by-step explanation:

I need help with this question

Answers

Answer:

It's the first option.

Step-by-step explanation:

The line which rises to the right has a slope of 1 and a y-intercept of -6.

It's equation is y = x - 6.

The one which rises to the left has slope -1 and y-intercept -2.

It's equation is y = -x - 2  or x + y = -2.

The solution is at the point where the 2 lines cross - that is (2, -4).

What is the equation of the line that passes
through(-2, 4) and has a slope of 2/5?

Answers

Answer:

y=2/5x+4.8

Step-by-step explanation:

Proof

Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.

Answers

Answer:

[tex] \frac{1}{2} [/tex]

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

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

[tex] \frac{3}{2 + 4} [/tex]

[tex] \frac{3}{6} [/tex]

[tex] \frac{1}{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

1/2

Step-by-step explanation:

(HELP ASAP!)
Write and solve an equation using the descriptions below.

Ten less than the quotient of a number and 3 is 6.

Seven plus the quotient of a number and 5 is -12.

Eight times the difference of a number and 3 is 40.

The difference of twice a number and 7 is 9.

Answers

3 divided by n -10= 6

Answer:

Step-by-step explanation:

1) Let the number be x

Quotient of a number & 3 : x/3

Ten less than the quotient of a number : (x/3) -10

[tex]\frac{x}{3}-10=6[/tex]

Add 10 to both sides

[tex]\frac{x}{3}-10+10=6+10\\\\\frac{x}{3}=16[/tex]

Multiply both sides by 3

[tex]\frac{x}{3}*3=16*3\\\\x=48[/tex]

2)  Let the number be x

Quotient of a number & 5 : x/5

Seven plus  the quotient of a number : (x/5)+7

[tex]\frac{x}{5}+7=-12\\[/tex]

Subtract 7 form both sides

[tex]\frac{x}{5}+7-7=-12-7\\\\ \frac{x}{5}=-19\\[/tex]

Multiply both sides by 5

x = -19*5

x = -95

3) Let the  number be x

Difference of a number and 3 : x - 3

Eight time the difference of a  number & 3: 8*(x-3)

8*(x - 3 ) = 40

Divide both sides by 8

[tex]\frac{8*(x-3)}{8}=\frac{40}{8}[/tex]

x - 3 = 5

Add 3 to both sides

x - 3 +3 = 5 +3

x = 8

4) Let x be the number

Twice a number : 2x

The difference of twice a number and 7: 2x - 7

2x - 7 = 9

Add 7 to both sides

2x - 7 + 7 = 9 + 7

2x = 16

Divide both sides by 2

2x/2 = 16/2

x = 8

helpp!!! thank how would you do this i got -6 is that correct

Answers

Answer:

-2

Step-by-step explanation:

hello

output means that you have to check in the f(x) column

the answer is -2

hope this helps

The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat. Which of the following could be the equation of F(x)

Answers

Answer:

Option (A)

Step-by-step explanation:

Parent function of the function graphed is,

G(x) = x²

Graph shows the vertex of the given parabola is at (3, 3).

Vertex form of a parabola is,

F(x) = a(x - h)² + k

where (h, k) is the vertex.

By substituting the coordinates of the vertex in the equation,

F(x) = a(x - 3)² + 3

Since the given parabola is opening upwards, value of 'a' will be positive.

So the equation will be,

F(x) = 2(x - 3)² + 3

Therefore, from the given options, equation given in Option (A) matches the answer.

Answer:

A is the correct answer.

Step-by-step explanation:

Patty lives on a chicken farm and can collect 80 eggs in 2 hours. At that rate how long will it take her to collect 360 eggs?

I'm confused, how do you solve this...

Answers

Answer:

9 hours

Step-by-step explanation:

First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.

Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.

Answer:

9 hours

360/80 = 4.5 x 2 = 9

A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?

Answers

Answer:

377 choices

Step-by-step explanation:

The following values were given in the question:

The restaurant offered

6 choices of appetizer

8 choices of main meal

5 choices of dessert.

We are also told in the question that the customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

B = Main meal = 8

C = Dessert = 5

a) The 3 choices together

ABC=6 × 8 × 5=240 choices

b) AB= Appetizer and Main meal

= 6 × 8 = 48 choices

c) AC= Appetizer and Dessert

= 6 × 5 = 30 choices

d) BC = Main meal × Dessert

= 8 × 5 = 40 choices

e) A,B,C = the customer having each of the choices only

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19 choices

The number of possible meals is calculated as:

240 choices + 48 choices + 30 choices + 40 choices + 19 choices

= 377 choices

Find the missing side to the triangle in the attached image. Thanks.

Answers

Answer:

Let's use Pythagorean Theorem which states:

6² + 10² = x²

36 + 100 = x²

136 = x²

x = ± 2√34

Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.

Answer:Answer:

Let's use Pythagorean Theorem which states:

6² + 10² = x²

36 + 100 = x²

136 = x²

x = ± 2√34

Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.

Read more on Brainly.com - https://brainly.com/question/17033938#readmore

Step-by-step explanation:

Which expression represents the algebraic phrase “twelve times the sum of a number and seven-tenths”? 12 y + StartFraction 7 over 10 EndFraction 12 (y + StartFraction 7 over 10 EndFraction) StartFraction 7 over 10 EndFraction y + 12 y (StartFraction 7 over 10 EndFraction + 12)

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Other Questions
Read this excerpt from The Tell-Tale Heart by Edgar Allan Poe. Then fill in the blanks in the paragraph that follows.TRUE! nervous very, very dreadfully nervous I had been and am; but why will you say that I am mad? The disease had sharpened my senses not destroyed not dulled them. Above all was the sense of hearing acute. I heard all things in the heaven and in the earth. I heard many things in hell. How, then, am I mad? Hearken! and observe how healthily how calmly I can tell you the whole story.It is impossible to say how first the idea entered my brain; but once conceived, it haunted me day and night. Object there was none. Passion there was none. I loved the old man. He had never wronged me. He had never given me insult. For his gold I had no desire. I think it was his eye! yes, it was this! He had the eye of a vulture a pale blue eye, with a film over it. Whenever it fell upon me, my blood ran cold; and so by degrees very gradually I made up my mind to take the life of the old man, and thus rid myself of the eye forever.In these opening lines, the reader is presented with a narrator who wants to kill "the old man" because of his eye. The author uses the lines to present a conflict. Based on this excerpt, this stage of the plot is most likely to occur in . Calculate the percent ionization of nitrous acid in a solution that is 0.249 M in nitrous acid. The acid dissociation constant of nitrous acid is Help please ASAP :) please give answers to both questions If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum possible value of Box, the coefficient of x?Question in latex: If $(ax+b)(bx+a)=26x^2+\Box\cdot x+26$, where $a$, $b$, and $\Box$ are distinct integers, what is the minimum possible value of $\Box$, the coefficient of $x$? A Chinese supporter of the Boxer Rebellion would most likely agree withwhich statement? Find the total surface area of this triangular prism... To raise money the youth club bought 90 kg of pecans for $297.90. They sold the pecans in 250 g bags for $1.90 each. How much profit did they make? Helppp!!!! please!!! If f(x)=5x, what is f^-1(x) A firm sells peanuts in a perfectly competitive market. Upon increasing production output from 60 packages to 75 packages, the total revenue increased from $300to $375. What was the marginal revenue of this increase in production HELPPP DO NOT LOOK IT UP PLS 1. Looking at Nigeria as a potential emerging market, mention and explain 4 factors you think are preventing Nigeria from becoming an excellent emerging market to invest in? 2. If you were given the chance, resources and power to change Nigeria, which one out of the 4 problems identified above would you try to solve and how would you do it? A shoe maker made 3 new soles every 4 minutes. Another shoe maker made 2 soles every 3 minutes. What was the difference in the number of soles they made in an hour? USE A RATIO OR PROPORTION TO ANSWER THIS PLS. In the 1790s, despite a lack of specific constitutional authority to do so, Congress chartered a national bank, arguing that the institution was necessary to regulate the value of currency, a power that the Constitution did grant to Congress. The chartering of a national bank was therefore an example of The first step in solving for the variable / in the equation P= 21 + 2w is:A. Add the 2w to both sides of the equal sign.B. Subtract the 2w to both sides of the equal sign.C. Divide the 2 to both sides of the equal sign.D. None of these choices are correct. 4. Which of the following descriptions apply to both John Locke and Thomas Hobbes?French philosopherEnglish philospherEnglish mathematicianFrench mathematician Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of (no approximations). (x2 + 4x) - 2x = x2 +X A ball is thrown directly downward with an initial speed of 7.95 m/s, from a height of 29.0 m. After what time interval does it strike the ground? Observe the process by which the grey and the red spheres are charged using the electrophorus. After each sphere is first charged, what are their charges