there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC ​

There Is Given The Numbers Equals To 8 And DC Equals To 3.2 And BE Quals To 9 And Find BC

Answers

Answer 1

Given:

Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].

To find:

The length of BC.

Solution:

Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.

Using Basic proportionality theorem, we get

[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]

[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]

On cross multiplication, we get

[tex]8\times EC=9\times 3.2[/tex]

[tex]EC=\dfrac{28.8}{8}[/tex]

[tex]EC=3.6[/tex]

Now,

[tex]BC=BE+EC[/tex]

[tex]BC=9+3.6[/tex]

[tex]BC=12.6[/tex]

Therefore, the length of side BC is 12.6 units.


Related Questions

Jacey has 40 pizzas to sell in the concession stand at a basketball game . Each pizza has been cut into 8 slices of equivalent size. In the first hour, Jacey sold 16 3/8 pizzas . In the second hour , she sold 18 3/4 pizzas . How many pizzas does Jacey have left to sell?

Answers

40 pies * 8 slices = 320 total slices.

In 1 hour = 16 3/8 slices sold.
In 2nd hour = 18 3/4 slices

16 3/8 + 18 3/4

Find Lowest Common Denominator:

3/4 -> 4/8

16 3/8 + 18 4/8 = 32 7/8

320(total slices) -32 7/8(slices Janey sold)= 188 1/8 slices (leftover slices)

Answer: 188 1/8 slices left to sell.

A whole number rounded to the nearest hundred is 56,700. What is the greatest possible value for that number?

Answers

Answer:

56,749

Step-by-step explanation:

It is 56,749 because 56,750 would round to 56,800 so 56,749 is technically the largest number which would round to 56,700.

Answer: 56,699

Step-by-step explanation:

Im pretty sure that’s right.

These four numbers are plotted on a number line: −2/3, 5/8, −3/5, −1/2 Which is the correct ordering on the number line, from left to right?

Answers

Answer:

i dont know too i was here seeing if you got an answer.1

Step-by-step explanation:

pls answer this people!!

Answer:

-2/3, -3/5, -1/2, 5/8

Step-by-step explanation:

The larger the number/fraction/decimal is as a positive number, the smaller it will be as a negetive.

please answer this for me?

Answers

Answer:

abkjjnjnnnnjxnjxbksbx

Step-by-step explanation:

Lol idont know sorry

Please answer correctly! I will mark you Brainliest

Answers

Answer:

320

Step-by-step explanation:

I attached my work, for coming questions that is the formula

10 = base length

8 = base width

12 = pyramid height

Answer:

V = 320ft³

Step-by-step explanation:

Given

L = 10 W = 8 H = 12

Solution

V = LWH/  3= 10·8·12/ 3 = 320

Therefore, the volume of the given pyramid is V = 320ft³

Which equation can best be modeled by the expression 10(-4)

Answers

-40
Take 10 and x it by the 4 and since it’s in brackets it will take the negative sin because it means it important because normally if you were doing 10x -4 you would have 40 because 10 is bigger but the 4 was in brackets

please answer this one if you could ​

Answers

Basically it’s pretty simple
Q13. .5, 1
Q14. -1.5, 2

PLS HELP ME WILL GIVE BRAINLIEST

Answers

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Which type of deposit is paid in advance to protect landlords against nonpayment?
A.
security deposit
B.
special deposit
C.
surety Deposit

Answers

Answer:

a

Step-by-step explanation:

plato

Security deposit is paid in advance to protect landlords against nonpayment.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

A security deposit is a sum of money paid by a tenant to a landlord or property manager before moving in, with the purpose of protecting the landlord in case the tenant does not fulfill their obligations under the lease agreement, such as not paying rent, damaging the property or leaving it unclean at the end of the lease.

The amount of the security deposit is usually equal to one or two months' rent, and it is refundable at the end of the lease term, provided that the tenant has complied with all the terms of the lease.

If the tenant has breached the lease agreement, the landlord may use the security deposit to cover the unpaid rent or any damages caused by the tenant.

Hence, Security deposit is paid in advance to protect landlords against nonpayment.

To learn more on Percentage click:

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need help.................

Answers

Answer:

10218.75

Step-by-step explanation:

You should divide the two shapes into a rectangle and a triangle, find the area of each, then add them together like so:

For the rectangle:

37.5*22.5 = 843.75

For the triangle:

To find the base: 75 - 37.5 = 37.5

To find the height, use pythagoream theorem.

62.5² = 37.5² + b²

3906.25 = 1406.25 + b²

3906.25 - 1406.25 = 2500

√2500 = 50.

The height is 50, so 50*37.5(1/2)

= 937.5

Now add them together

937.5 + 843.75

Check if (1,6) is the solution to the system shown below.

Answers

Answer:

NO it is not

Step-by-step explanation:

To check that, we will need to substitute the value of each of the coordinates in each of the equations

10x-y = -6

substitute 1 for x and 6 for y

we have this as;

10(1)-6 = 4

Outrightly, we can see that the given point is not a solution to the given system of equations

however, let us confirm for the second

We have this as;

-10(1) + 5(6)

= -10 + 30 = 20

so we can confirm that it does not work for any of the two and our answer is NO

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

Answers

Answer:

b = 15

Step-by-step explanation:

Assuming that the question is referring c as the hypothenuse, the Pythegorean theorem states: [tex]a^2+b^2=c^2[/tex].

Thus, [tex]b=\sqrt{c^2-a^2}=\sqrt{17^2-8^2}=15[/tex].

So b is 15.

Answer: b = 15

Step-by-step explanation:

Here, we need to know the formula for the relationship between the three sides of the right triangle: a² + b² = c².

a and b are legsc is hypotenuse

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

Given

a = 8

c = 17

Solve

a² + b² = c²

(8)² + b² = (17)²

64 + b² = 289

b² = 225

b = √225

b = 15

Hope this helps!! :)

Please let me know if you have any questions

Please fast and explain!!!!

Answers

since we know that 40% = $20. we can understand that 80% = $40. since books and savings combine to 40%. this means books and savings mean $20. now that we have found how much 80% of money she has. we can find the remaining. 100% - 80% = 20%. we can divide our ratio 40% = $20 by 2 too see how much money is 20%. in which is %10

now we add up and get $50 in total.

hope this helps :D

Use the inequality 12​>6(12x​+2). Complete parts a and b.

Answers

Answer/ Step-by-step explanation:

12>6(12x+2)

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

12/6 >12x+2

Divide 12 by 6 to get 2.

2>12x+2

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

12x+2<2

Subtract 2 from both sides.

12x<2−2

Subtract 2 from 2 to get 0.

12x<0

Product of two numbers is <0 if one is >0 and the other is <0. Since 12>0, x must be <0.

x<0

Hopefully i helped =3

No links or I’m reporting
Solve the following quadratic by
completing the square.
y = x2 + 2x - 6

Answers

Answer:

x = - 1 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² + 2x - 6 = 0 ( add 6 to both sides )

x² + 2x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 6 + 1

(x + 1)² = 7 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )

x = - 1 ± [tex]\sqrt{7}[/tex]

Which equations are equal to this equation Select all that apply. 1/4(8x+56)=20
A. 56+8x=80
B. 14=20-8x
C. 2x+14=5
D. 2x=6
Choose more than 1
Please help ASAP
Will mark brainliest

Answers

a and d are the answers

The list shows the value of five accessories that Mary purchased for her cell phone. 29, 15, 22, 52, 38 What is the mean absolute deviation of the numbers in the list?

Answers

Answer:

11.04

Step-by-step explanation:

Given the data:

29, 15, 22, 52, 38

The mean absolute deviation :

Mean, m = Σx / n

n = sample size = 5

29 + 15 + 22 + 52 + 38 = 156

Mean = 156 / 5 = 31.2

Mean absolute deviation (MAD):

Σ|x - m| / n

(|29 - 31.2| + |15 - 31.2| + |22 - 31.2| + |52 - 31.2| + |38 - 31.2|) / 5

(2.2 + 16.2 + 9.2 + 20.8 + 6.8) / 5

55.2 / 5

= 11.04

Name a pair of adjacent angles

Answers

Answer:

Angle 1 and Angle 2 are adjacent angles.

Please help! if you do you will get 'Brainliest'

Answers

Sorry I can’t see the wording quite well can you zoom in please
D bc it’s the most reasonable

How to solve
y = x + 1
y = 5x + 13

Answers

Answer:

Substitute y=5x+13

[ 5x+13=x+1 ]

For y=5x+13

Substitute x=−3

y=5(−3)+13

5(−3)+13=−2

y=−2, x=−3

Step-by-step explanation:

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is
$103.72
What are the possible numbers of minutes she has used her phone in a month?
Usem for the number of minutes, and solve your inequality for m.
DO

Answers

Answer:

1312.5 minutes

Step-by-step explanation:

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72

What are the possible numbers of minutes she has used her phone in a month?

Use m for the number of minutes, and solve your inequality for m.

The term least = ≥ = greater than or equal to

Our inequality equation is given as:

$25 + $0.06 × m ≥ $103.72

25 + 0.06m ≥ 103.72

0.06m ≥ 103.72 - 25

0.06m≥ 78.75

m ≥ 78.75/0.06

m ≥ 1312.5 minutes

The possible number of minutes she used is 1312.5 minutes

Probability mathematic

Answers

Answer:

1/9

Step-by-step explanation:

Probability  =  Expected outcome/Total outcome

From the given pi chart,

Total outcome = 360degrees (since the total angle in a circle is 360 degrees)

Since we to find the probability of scoring a 5, we can see that the angle when he scores a 5 is 40degrees, hence;

Expected outcome = 40degrees

Pr(scoring a 5) = 40/360

Pr(scoring a 5) = 1/9

Hence the probability of scoring a 5 is 1/9

Answer:

1/9

Step-by-step explanation:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Divide the number of events by the number of possible outcomes.

PLEASE HELP FOR A TEST IT'S DUE IN 5 MINUTES!

Floyd decides to invest $1,000,000 in a 20-year annuity that earns 4.6% APR compounded monthly. How much money will Floyd be paid each month from this annuity?

Answers

Answer:

$6380.38

Step-by-step explanation:

Floyd will be paid $2,504,880 each month.

What is Compound Interest?

Compound interest is an interest of interest to the principal sum of a loan or deposit. The concept of compound interest is the interest adding back to the principal sum so that interest is earned during the next compounding period.

Given that Floyd invests $1,000,000 in a 20-year annuity that earns 4.6% APR compounded monthly.

A = P(1+r)ⁿ

A = 1,000,000(1+0.046/12)²⁰⁽¹²⁾

A = 2,504,880

Hence Floyd will be paid $2,504,880 each month.

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how many apples would be left?

Answers

Hello!

Lets tackle each section separately!

So Robin gives the first group [tex]\frac{1}{8}[/tex] of the apples.

To find how many apples that is in standard form, we divide 40 by 8.

40 ÷ 8 = 5.

So the first group ate 5 apples.

The second group ate 4 apples.

We do not have to calculate anything since it is already in standard form.

The third group ate 20% of the apples.

To find 20% of forty we can multiply 40 by 0.20, since 0.20 is the decimal equivalent of 20%.

40 × 0.20 = 8.

The last group of children ate 8 apples.

Now we add each groups apple intake together.

5 + 4 + 8 = 17.

Finally, we subtract 17 from 40.

40 - 17 = 23.

There were 23 apples left.

waffletowne

2(2.2h+5.8h)+15(15h+5)

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,,,,,

mack used this model to find the quotient of 588 ÷ 14

what equation shows the final step in finding the quotient?​

Answers

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

what is the order of the numbers from least to greatest?

-4, 9, 6, -8, -9
please help! whats the correct order

Answers

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

negatives are less than positives,

how do I solve this?? number 8

Answers

Answer:

135

Step-by-step explanation:

that line equals 180 degrees so just subtract 45 to get the value of x

To get the correct answer to this problem you must subtract 45 to get your answer

Linda buys a package of 12 cartons of tomato soup for $30. If each carton holds
16 ounces of soup, what is the cost per quart?
A $1.25
B $2.50
C $5.00
D $7.50

Answers

Answer:

5.00

Step-by-step explanation:

1 quart is 32 ounces if you add 16+16=32

and 30 divided by 12 = 2.5

if one carton is 16 ounces and you add 2 cartons to make a quart which is 2.5+2.5=5.00

PLEASE HELP! WILL GIVE BRAINEST!! FOR MY MATH EXAM. please answer the whole question. only a few sentences are needed thanks.
Jordan asked some of his classmates their favorite numbers from 1-20. The numbers he found are below.
6, 10, 4, 12, 20, 5, 3, 12, 10, 2, 18, 15
Find the:
a. Minimum

b. Q1

c. Median

d. Q3

e. Maximum

Answers

Answer:

a. Minimum: 2

b. Q1: 9/2 = 2 1/2

c. Median: 10

d. Q3: 27/2 = 13 1/2

e. Maximum: 20

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