from the above given figure, DE parallel to BC. if AD = 3cm, DB = 4cm and BC = 14cm, find DE

Answers

Answer 1

DE \\ BC

So ;

[tex] \frac{AD}{AB} = \frac{DE}{BC} [/tex]

AD = 3cm , BC = 14cm , DB = 4cm

AB = AD + DB

AB = 3 + 4 = 7 cm

[tex] \frac{AD}{AB} = \frac{DE}{BC} \\ \frac{3}{7} = \frac{DE}{14} \\ DE = \frac{14 \times 3}{7} = \frac{42}{7} = 6[/tex]

So ; DE= 6 cm

I hope I helped you^_^


Related Questions

please help me is for my homework​

Answers

Answer:

126/100

Step-by-step explanation:

126% / 100

= 1.26

Answer:

1.26

Step-by-step explanation:

divide 126 by 100 first

[tex]\frac{126}{100}[/tex]

you will get

1.26

[tex]9/16=3/4t[/tex]9/16=3/4t

Answers

Answer:

4/3

Step-by-step explanation:

9÷16=3÷4t

cross multiply

36t=48

divide both sides by 36

t=48÷36

t=4÷3

A cylinder has a base area of 154 cm² and a height of 20cm. What is its total surface area, in cm?? Use, 22/7
A.1188
B.1200
C.1220
D.1224​

Answers

Answer:

Hi there!

We've given with the base area and height. We know the formula for base area

Base area = πr²

154 = 22/7 × r²

154 × 7/22 = r²

49 = r²

√49 = r

7 = r

Now

TSA = 2πr(h + r)

TSA = 2 × 22/7 × 7(7 + 20)

TSA = 44(27)

TSA = 1188 cm²

The cost of a repair, which depends on the hours of labor it takes to make the
repair, is $200. Which of the following best shows this is
otation?
A. Hours($200) = cost
B. Hours(cost) = $200
C. Cost(hours) = $200
D. Cost($200) = hours

Answers

Answer:

I think it's B. Hours(cost) = $200 but I could be wrong

What is the solution to this system of equations?

Please help!!

Answers

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

x + y = 6......(1)

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

Learn more on simultaneous equation here:

https://brainly.com/question/16863577

how far is the point (8,6) from the origin​

Answers

The answer is 14 away

Solve for r.
-5 - 9r = -14 - 18r
Submit

Answers

Answer:-1

Step-by-step explanation:

Answer:
R= -1

Explanation:

1) Distribute if needed
2) Clear fractions if needed
3) Combine like terms if needed
4) Move variables to one side by using inverse operation
5) Isolate the variable by using add/subtraction then multiply/divide

-9r-5= -18r-14
+18r +18r
———————
9r-5 = -14
+5 +5
———————
9r= -9

9r = -9
— —
9 9
-9/9= -1

what is the radius of 16 cm simplest form?

Answers

If the 16 cm is the diameter then the radius is 8 cm

I need help dont just add both numbers ill give extra hundrend after you answer

Answers

Answer:

28

Step-by-step explanation:

According to the question,

2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76

Let x represent cost of football and let y equal cost of helmet.

Write the system of equations,

[tex]x +2 y = 80[/tex]

[tex]2x + y = 76[/tex]

Eliminate the x variable by multiplying the top equation by -2

[tex] - 2x - 4y = - 160[/tex]

[tex]2x + y = 76[/tex]

Add both equations.

[tex] - 3y = - 84[/tex]

[tex]y = 28[/tex]

So one helmet cost $28

Can you answer this and simplify this?
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1

Answers

Answer and Step-by-step explanation:

The length of the rectangle is 3 + w (w represents the width).

The polynomial representing the area of the rectangle:

a (area) = w(3 + w) = w^2 + 3w

A)

a = 1

b = 2

c = 3

d = 1

B)

w = 4

(4)^2 + 3(4) = 8 + 12 = 20

e = 20

#teamtrees #PAW (Plant And Water)

I hope this helps!

a survey of 100 high school students provided this frequency table on how students get to school. find the probability that a random selected student either takes the bus or walks. need help ASAP. picture is included.

Answers

Answer:

60% or 3/5

Step-by-step explanation:

Add up how many students take the bus: 50, and how many walk:10

Put that number over 100 and simplify: 60/100=6/10=3/5

besties i need help! Select two reasonable first steps for solving the equation 2(4x-11)=10.

A. Divide each side of the equation by 2.
B. Divide each side of the equation 10.
C. Multiply each side of the equation by 2
D. Multiply each side of the equation by 1/10
E. Add 11 to each side of the equation.
F. Use the Distributive Property to simplify the right side.
G. Use the Distributive Property to simplify the left side.

Answers

It's gonna be g because you want to get rid of the parenthesis. So your left side would become 8x-22

18. Mabel gave Margo a bag containing red, white, and
blue marbles. The bag contained half as many red
marbles as blue ones, and 1/4 of the marbles in the
bag were white. If 8 of the marbles were red, how
many marbles were in the bag?

Answers

So if the bag contains half as many red marbles as blue ones, and there are 8 reds then there are 16 blues. 16 + 8= 24 if you want there to be 1/4 white marbles add 6. 6/30 is 1/4.

So the answer comes out to be 30 marbles in the bag

Answer:

32.

Step-by-step explanation:

Let the number of red marbles be x then the number of blue = 2x

So we have 8 red and 16 blue marbles.

If the total number of marbles are y marbles the number of white one = y/4.

So  y = y/4 + 8 + 16

3/4y = 24

y = 24 * 4/3

= 96/3

= 32 marbles.

=

Sequence A counts down from 46 by 7: 46, 39, 32 and so on. Sequence B counts down from one number (not 46) by another number (not 7). In sequence B, the second number is 35, the sixth number is 23, and the sequence ends with the first single-digit number that it comes to. how many numbers are in the sequence B

Answers

Answer:

Step-by-step explanation:

Sequence is geometric.

[tex]\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\[/tex]

Last term is 8; 5; 2

Numbers of sequence B= 11 or 12 or 13

there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games

Answers

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!

[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]

The probability that no two teams win the same number of games is given as follows;

[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]

Therefore;

[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

Learn more about probability theory here:

https://brainly.com/question/1539712

Marley made three full pitchers of lemonade. Eachpitcher holds exactly five cups of liquid. How many ounces of lemonade did Marley make?

Answers

Answer:

120 fluid ounces

Step-by-step explanation:

1 cup = 8 fluid oz

Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.

So that's our answer

Hope this helped!

[I know this is a bit rude asking, but can I please have a Brainliest?]

Calculate the cost for the fuel needed for Sam to drive to Nanaimo to tofino

(15 points)

Answers

Answer:

cost of Sam of fuel from Nanaimo to Tofino(207km) is $34.78

Step-by-step explanation:

Diatance from Nanaimo to Tofino is 207km.

Now:

fuel consume in 100km= 12L

fuel consume in 1km=12/100L

We have to find consumption of fuel in 207km.

fuel consume in 207km=12/100 × 207km

= 24.84L

Price of 1 liter= $1.40

Price of 24.84 liters=$1.40 × 24.84

=$34.78

Note:If you have question about it you can ask.Thanks

Choose the correct simplification of (9x3y2)2.

Answers

Answer:

The Correct simplification is: (3².2x³y²)

Answer:

81x^6y^4

Step-by-step explanation:

Please answer in full

Answers

Answer:

1) 1/2 *bh

2) 2s+4

3) 35+2m

Answer:

1. 1/2bh

2. 2(s) + 4

3. 2m + $35

Step-by-step explanation:

1. Explanation: half the product of the base times the height can be written as 1/2 bh because as base is being multiplied by the height it will soon be half the product

2. Explanation: Man’s age can be described as 4 MORE THAN (add) TWO times (multiply) his son’s age

3. Explanation: $35

Plus an extra $2 per mile

How many miles??

Miles represented by m

7 squared plus 10 times 5 plus 10

Answers

Answer:

109

7²=49               (7×7=49)

10×5=50

Therefore,

49+50+10= 109

The answer would be 109.
7^2 = 49
10 X 5 = 50
50 + 10 = 60
49 + 60 = 109

Please help explanation if possible

Answers

Answer:

x=-2 y=3

Step-by-step explanation:

you should multiple second equation by -5 and collect all terms then put -2 from x

The answer to this equation is 3

Jerimiah records lap times at the track meet on Saturday. He records a time of 85 seconds for Jennifer's lap, but she really completed the lap in 84.25 seconds.

What is the approximate percentage of error in Jerimiah's measure?

Answers

Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

can someone answer this please

Answers

Answer:

its 12.5

Step-by-step explanation:

did the test already

algebra hcf
10xyz and 15y²z²​

Answers

Answer:

5yz

Step-by-step explanation:

1st expression=10xyz

=5*2*x*y*z

2nd expression=15(y)2 (z)2

=5*3*y*y*z*z

therefore H.C.F=5yz

underlines are taking common.

Subtract. − 11 − ( − 6) brainliest

Answers

Answer:

-5

Step-by-step explanation:

− 11 − ( − 6)

= -11 + 6

= -5

Answer:

-5

Step-by-step explanation:

-11-(-6)

-11--6

NB: --=+

-11+6

-5

Therefore, the answer is -5.

5
What is the lowest value of the range of the function
shown on the graph?
Ν
4
200
3
2
Ο Ο Ο Ο
2 3 4 5 x
-5 -4 -3 -2 -11
-2+
-3
4
-5

Answers

Answer:

your answer is -5-4-3-2-11

Step-by-step explanation:

this is because -5-4-3-2-11=-26, and that is the lowest term there

Simplify the following expression:
4n - m + 3p + 2m - n - p

Answers

Answer:

The choose One

3n+m+2p

I hope I helped you^_^

Answer:

[tex] = 3n + m + 2p[/tex] (first option)

Step-by-step explanation:

[tex]4n - m + 3p + 2m - n - p[/tex]

[tex]4n - n = 4n - 1n = (4 - 1)n = 3n[/tex]

[tex]3n - m + 3p + 2m - p[/tex]

[tex] - m + 2 = - 1m + 2m = ( - 1 + 2)m = 1m = m[/tex]

[tex]3n + m + 3p - p[/tex]

[tex]3p - p = 3p - 1p = (3 - 1)p = 2p[/tex]

[tex] = 3n + m + 2p[/tex]

How many solutions are there to the equation below?
12x + 32 = 12x - 7
A. 1
B. infinitely many
C.0

Answers

Answer:

C

Step-by-step explanation:

this is the answer because both sides are parallel

when on a graph

please help me :/ you will get 20 points and i will mark brainliest this is for math ;-; again
the picture is attached below but please look at the picture
just in case you cant read what my writing says it says this
The greatest integar function shown below is defined to be the greatest _______ less than or equal to x.

Answers

Answer:

equal to x

Step-by-step explanation:

HELP PLS HELP HELP WILL MAKE BRAINLIEST ​

Answers

Answer: Therefore, 14% of cats and dogs got shelter during the day.

Step-by-step explanation:

cats = 5/50 * 100%

    = 5*2% = 10%

dogs = 2/50* 100%

       = 2*2% = 4%

so

= 10% + 4% = 14%

Answer:

Option A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

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