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

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

What is the value of the expression below?

675 ÷ 3 - (15 - 12)²

PLZ HELP-

Answers

Answer:

675 ÷ 3 - ( 225 - 144)

675 ÷ 3 - (81)

225 - 81

144

I hope it's helps you

Answer:

[tex]675 \div 3 - (15 - 12) {}^{2} \\ \\ 675 \div 3 - (225 - 144) \\ \\ 675 \div 3 - 81 \\ \\ 225 - 81 \\ \\ = 144[/tex]

What is the volume, in ml, of 100. grams of mercury? Mercury has a density of 13.54 g/mL
(which means 1mL=13.54 g).

Answers

13.54 g/mL = (100 g)/v

==>   v = (100 g)/(13.54 g/mL) = 7.39 mL

The volume of 100 grams of mercury is 7.38 mL when the density of mercury is 13.54 g/mL.

To calculate the volume of 100 grams of mercury, we can use the density formula:

Density = Mass / Volume

We are given the density of mercury as 13.54 g/mL, and we want to find the volume in mL.

Volume = Mass / Density

Substituting the given values:

Volume = 100 g / 13.54 g/mL

Simplifying the division:

Volume= 7.38 mL

Therefore, the volume of 100 grams of mercury is 7.38 mL.

To learn more on Volume click:

https://brainly.com/question/13798973

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What is the answer to 1/6 + 1/2

Answers

Answer:

2/3

Step-by-step explanation:

1/6 + 3/6 = 4/6

4/6 = 2/3

16 The cost for parking at a city airport is shown in the table.
Price for first day
$16.60
For every
2
day afterwards
$9
Yuri pays $124.60 to park his car.
How many days does he park his car for?
Show your working.

Answers

Answer:

He paid $9 twelve times

12× 2= 24 days

Step-by-step explanation:

1st day = $16.60

3rd day=$ 9 (i.e for every 2days afterwards)

5th day=$ 9

Yuri pays : 124.60

124.60-16.60

= $108.00

After paying the first day he paid 108.00

108.00÷ 9 = 12

He paid $9 twelve times

12× 2= 24 days

-6 + 5(8 - k) - 8k
Dose anyone know?

Answers

Answer:

34 - 13k

Step-by-step explanation:

Answer:

the solution is 34 - 13k

Step-by-step explanation:

What is the answer to the problem
3+(-11)+8

Answers

Answer:

0

Step-by-step explanation:

3 + (-11) + 8

3 - 11 + 8

-8 + 8

0

Answer:

0

Step-by-step explanation:

As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.

That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.

I’m sorry about that. I never would have imagined myself choosing those two over you.

I’m gonna die soon,

but I’ll die without regrets.

Or that’s what I’d like to say.

Truth is, I do have one.

It's that I never got to marry you...

With love, Ymir.

Solve for the value of k

Answers

Answer:

k=13

Step-by-step explanation:

3k+6+4k-7+90=180

7k+89=180

k=180-89/7

k=13

can someone plz plzplz​

Answers

Step-by-step explanation:

<QTS<BCD<QPO and <ORS<EFG<ACF and <CFE<BED<TUY<ABC+<BCD=180° (being co-interior angles)

1. ∠STQ

2. ∠BCD

3. ∠ORS and ∠QPO both are alternate angles of ∠POR

4. ∠EFG

5. ∠DCF and ∠CFH

6. ∠DEB

7. ∠YUT

8. 180° (because they are co-interior angles)

0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to


Answers

Answer:

12/99

Step-by-step explanation:

x=0.121212

100x=12.121212

100x-x=12.1212-0.1212

99x=12

x= 12/99

Answer:

6/50 is simplified to 3/25

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values: The decimal number = 0.12

parameters & values: The decimal number = 0.12step 2 Write it as a fraction

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12

1. Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
a. 1632
b. 0.25
c. 0.0300300030000…
d. 0






2. Is the following example true or false? If false, give a counterexample. “The sum of two rational numbers is always rational. The sum of two irrational numbers is always irrational.”







3. Which of the following expressions is equivalent to 6(94)+7+(3+2)
a. 2+(3+7)+4(69)
b. 9(64)+2+(73)
c. (6+7)(94)+3+2
What properties of real numbers does this example show

Answers

Answer:

#1

Rational numbers can be shown in the form of p/q.

a. 1632 - positive integer = rationalb. 0.25 - terminating decimal = rationalc. 0.0300300030000... - non-terminating decimal = irrationald. 0 - zero is rational#2

The sum of two rational numbers is always rational.

TRUE as it still can be shown as p/q.

The sum of two irrational numbers is always irrational.

FALSE as in specific cases, when you sum the opposites of irrational numbers you get zero which is rational#3

This question is incomplete or incorrect.

None of the choices is equivalent.

Answer:

1.

1632 can be written as 1632/1. Rational

0.25 can be written as 25/100. Rational

0.0300300030... cannot be written as fraction. Irrational

0 is also irrational

2. Sum of two rational number = rational number

Sum of two irrational number = Rational or irrational number

3. Incomplete

urgent answer needed pls​

Answers

Answer:

It's 87.

Step-by-step explanation:

See the picture upside down.

PLEASE HELP!! 3 IN 1

1.solve and simplify 2/7 Divided by 4/5

2. Convert the fraction to a decimal 38/333

3. Convert the fraction to a decimal 12/111

Answers

Answer:

1. D

2.B

3.0.1081 (the one with a line over it)

please help me out. this question is very confusing and hard.

Answers

Answer:

354 = 0 hundreds + 35 tens + 4 ones

354 = 0 hundreds + 0 tens + 354 ones

Step-by-step explanation:

(Hope this helped you! BTW, is this on Khan Academy? You know what? Don't answer that. Please tell me if this answer is incorrect and I will correct it as soon as I can to stop confusion from arising)

Can someone help me on this?? I need help

Answers

Answer:

Where's the question????????

[tex]\huge\mathfrak\pink{Questions \: ?}[/tex]

What's the answer to this plz!?!

Answers

Answer:

1/5

Step-by-step explanation:

There are 5 yogurts in total.

(1 raspberry, 2 strawberry, 1 blueberry, 1 vanilla)

The chance of pulling a vanilla is 1/5.

Answer:

20%

Step-by-step explanation:

1/5 or 20% or 0.2 is the chance of finding vanilla yogurt

xy = 3k-2, yz-7k+4, xz=4k+38

Answers

Answer:

I have taken out the value of xyz.

number 39 show work pls tysm

Answers

Answer:

42.25/6.5=6.5 per hour

Step-by-step explanation:

Hi! I'm happy to help!

To solve this, we need to divide the amount of money by the number of hours.

You earned $42.25, over the course of 6.5 hours.

42.25/6.5

6.5

So, you earned $6.50 per hour cleaning a community park.

I hope this was helpful, keep learning! :D

Which verbal model represents the algebraic expression 5(n+1) ?
O five divided by the quantity of a number minus 1
O five divided by the quantity of a number plus 1
O five times the quantity of a number minus 1
five times the quantity of a number plus 1
Next >

Answers

Answer:

Five times the quantity of a number plus 1

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Need help plsssssssss

Answers

Answer:

B)

Step-by-step explanation:

This is hope i got it and it may or may not be helpful 10 divide by 430

help me with my homework

Answers

Answer:

a because I dont know why but some one told me it was this

Answer: A. There are three terms

Concept:

In an algebraic expression, there are several specific terms:

Constant: the individual number that has no variable with it, or in east word, it is isolated.Variable: any unknown value, which is usually presented by alphabets.Coefficients: the numbers that are bounded with a variable, usually in front of a variable.Terms: the number of individuals present in the expression, which is constants and [variable + coefficients].Like terms: terms that have the same variables and powers.

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

a. There are three terms. [tex]\boxed{FALSE}[/tex]

- 14b

- -7

- 8b

- b

There are in total four individuals, which means there are four terms.

b. There is one constant term. [tex]\boxed{TRUE}[/tex]

- 14b is a [variable + coefficient]

- -7 is a [constant]

- 8b is a [variable + coefficient]

- b is a [variable]

Therefore, there is one constant term.

c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]

- 14b →→→ 14 is the [coefficient]

- -7 →→→ is a [constant]

- 8b →→→ 8 is the [coefficient]

- b →→→ 1 is the [coefficient]

Therefore, 14, 8, and 1 are coefficients.

d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]

- 14b →→→ b is the [variable]

- -7 →→→ is a [constant]

- 8b →→→ b is the [variable]

- b →→→ b is the [variable]

Since 14b, 8b, and b share the common variable, there are three like terms.

Hope this helps!! :)

Please let me know if you have any questions

You start at (0, 2). You move right 2 units and down 4 units. Where do you end?

Answers

Answer:

(2, -2)

Step-by-step explanation:

Translation left or right adds to x-coordinate, translation up or down adds to y-coordinate.

Given coordinate (0, 2) and translation is 2 units right and 4 units down:

x = 0 + 2 = 2y = 2 - 4 = -2

The end points is (2, -2)

We have to move x co ordinates 2 more and y coordinate 4less

Do it

[tex]\\ \sf\longmapsto (0,2)[/tex]

[tex]\\ \sf\longmapsto (0+2,2+(-4))[/tex]

[tex]\\ \sf\longmapsto (2,2-4)[/tex]

[tex]\\ \sf\longmapsto (2,-2)[/tex]

We will end at (2,-2)

х
(-4+ 8x) +3>
What is the solution to the inequality
-4?

Answers

Step-by-step explanation:

if I understand the typed information here, we have

(-4 + 8x) + 3 > -4

so, I am looking at that :

-4 + 8x + 3 > -4

let's first add 4 on both sides

8x + 3 > 0

then subtract -3 on both sides

8x > -3

and finally divide both sides by 8

x > -3/8

since we never multiplied or divided by a negative number, the inequality sign stays the same.

so, this inequality is true for all x > -3/8

Regular pyramid
B=
P=
H=
l=
LA=
SA=
V=

Answers

Answer:

B (Base surface area) = 16 [tex]m^{2}[/tex]

P (Perimeter of the base) = 16 m

H (Height) = 6 m

L (Not sure what L means. I assume it's the slant height??) =  6.32 m

LA (I assume lateral surface area) = [tex]50.59 m^{2}[/tex]

SA (I assume total surface area) = [tex]66.59 m^{2}[/tex]

V (volume) = [tex]32 m^{3}[/tex]

Step-by-step explanation:

Sorry if anything is wrong. It would be more helpful to put the names, instead of acronyms.

Perimeter of base=4(4)=16m

Area of base=4²=16m²

Height=6m

Slant height=6.3m

Lateral surface area=4(1/2(4)(6.3))=8(6.3)=50.54m²

Total surface area=50.54+16=66.54m²

Volume=a²h/3=4²/(6)/3=16(2)=32m³

I SPENT 40 POINTS ON THIS QUESTION. PLEASE ANSWER!!!!!​

Answers

Answer:

Here is your answer . hope it helps.

State one form of the Law of Cosines and provide a trick for writing the other two forms and explain when Law of Cosines should be used to solve a triangle.

Answers

Solving for Angles

[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos∠C \\ \frac{a^2 - b^2 + c^2}{2ac} = cos∠B \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos∠A[/tex]

* Do not forget to use the inverse function towards the end, or elce you will throw your answer off!

Solving for Edges

[tex]\displaystyle b^2 + a^2 - 2ba\:cos∠C = c^2 \\ c^2 + a^2 - 2ca\:cos∠B = b^2 \\ c^2 + b^2 - 2cb\:cos∠A = a^2[/tex]

You would use this law under two conditions:

One angle and two edges defined, while trying to solve for the third edgeALL three edges defined

* Just make sure to use the inverse function towards the end, or elce you will throw your answer off!

_____________________________________________

Now, JUST IN CASE, you would use the Law of Sines under three conditions:

Two angles and one edge defined, while trying to solve for the second edgeOne angle and two edges defined, while trying to solve for the second angleALL three angles defined [of which does not occur very often, but it all refers back to the first bullet]

* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.

I am delighted to assist you at any time.

An arc PQ of a circle, centre O, subtends an angle of 2 radians at the centre. This sector is folded to form a right circular cone so that the arc PQ becomes the circumference of the base. Find the height of the cone.​

Answers

The answer is strictly not in my head right now but I believe you know it

The sum of three numbers is 62. The second number is triple the first, and the third is six more than the
second. Find the numbers.

Answers

Answer:

The numbers are 8, 24 and 30

Step-by-step explanation:

Let x be the first number.

If the second number is triple the first, then the second number is 3x

If the third number is the second number plus six, then the third number is 3x + 6

So therefore the equation is:

[tex]x + 3x + (3x + 6) = 62[/tex]

Solving for x,

[tex]x + 3x + 3x + 6 = 62\\7x = -6 + 62\\7x = 56\\x = 8[/tex]

But why is the second number 24?

[tex]3x = 24\\3(8) = 24\\24 = 24[/tex]

And why is the third number 30?

[tex]3x + 6 = 30\\24 + 6 = 30\\30 = 30[/tex]

Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? How much pizza will be left over?

Answers

Answer:

5 pizzas; 1/2 of a slice

Step-by-step explanation:

18/4=

4.5; the .5 is the leftover as the pizza so Mary needs 5 pizzas to be ordered.

(
Ella and Bell made $12.75 at their
lemonade stand in the morning
and $9 during the afternoon. How
much did they make at the end of
the day?
You had to show you awake

Answers

Answer:

is it $21.75

Step-by-step explanation:

add it together

Answer:

$21.75

Step-by-step explanation:

$12.75+$9=$21.75.

Plot and label these numbers on the same number line: 0.8 0.65 0.27 0.52 0.052​

Answers

Answer:

From left to right (least to greatest): 0.052, 0.27, 0.52, 0.65, 0.8

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