What is the length of DC?
O 2 units
O 3uníts
O 6uníts
O 9 unit

What Is The Length Of DC?O 2 UnitsO 3untsO 6untsO 9 Unit

Answers

Answer 1

Answer:

The correct option is;

3 units

Step-by-step explanation:

From the given figure, we have that segment DE is parallel to segment CB of triangle ABC

According to triangle proportionality theorem we have that segment DE which is parallel to segment CB of triangle ABC, divides the other two sides the triangle ABC proportionally

We have;

[tex]\overline {DC}[/tex]/[tex]\overline {AD}[/tex]= [tex]\overline {EB}[/tex]/[tex]\overline {AE}[/tex]

[tex]\overline {DC}[/tex]/9 = 4/12

[tex]\overline {DC}[/tex]= 9 × 4/12 = 3

[tex]\overline {DC}[/tex]= 3 units

The length of the segment DC = 3 units.


Related Questions

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

Answer:

d= -2

Step-by-step explanation:

-3×2d=12 -6d= 12 d= 12/(-6) d= -2Hope it helps you......

Pls Mark this answer as brainliest.

pls help will give brainliest

Answers

That angle is 175 degrees

What is the discriminate?

Answers

so it’s basically asking for the difference

The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s

(
m
/
s
)
.
When
s
=
30
,
P
=
1500
.
Work out the speed (to 1 DP) when the power is
1715
watts

Answers

Answer:

scooby-dooby-doooby-dooooby-doooooby-D000000000000000000000000000000Step-by-step explanation:

The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was x dollars?

Answers

Answer:

The value of the car will be x - (0.15)x after a year.

Step-by-step explanation:

The car was 15% more when it first came out, and the price went down by 15% after a year.

Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.

Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.

Therefore, the value of the car will be x - (0.15)x after a year.

Hope this helps! :D

Help me please!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

that symbol means <= which means x is less than OR equal to  5/2

This graph is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a function at all

Answers

Answer: C

Step-by-step explanation:

Did i do it correctly? if no please give the explanation and answer! :):):)

Answers

Answer:

yeah man good job im proud

Step-by-step explanation:

Answer:

You did a very good jod

Step-by-step explanation:

Hope this helped have an amazing day!

It is 49,280 yards from Topeka to Tonko. How many miles
is this?

Answers

Answer:

Step-by-step explanation:

1 yard = 0.000568 miles

49280 yards = 28 miles

1 mile = 1,760 yards

Divide total feet by 1760

49,280 / 1760 = 28 miles.

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Answers

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

(0.2a + 0.15b) = 100.5a - b = 30

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

(0.2a + 0.15b) = 100.5 - - - - - (1)

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

a - b = 30 - - - - - (2)

The system of equations required to determine the amount of drink A and B made are :

(0.2a + 0.15b) = 100.5a - b = 30

Learn more : https://brainly.com/question/20379472?referrer=searchResults

PLEASEEE HELPM ME I WILL GIVE BRAINLIEST

what is a simile for abortion

Answers

Answer:

abortion is like killing a baby as a mother

Step-by-step explanation:

simile uses "like" or "as"

What are the numbers that multiply to -12 but add to +1?

Answers

Answer:

4 and -3

Step-by-step explanation:

Use the sine rule to calculate BC :)

Answers

Answer:

BC≈12.2

Step-by-step explanation:

As we know

24/sin(100°)=BC/sin(30°)

BC=sin(30°)×24/sin(100°)

BC=1/2×24/sin(100°)

BC=12/sin(100°)

BC=12.2 (approximately)

Answer:

BC≈12.2

Step-by-step explanation:

Hope this helped have an amazing day!

find the equation of the line . PLEASE HELP

Answers

Y=1/2x-3............

factor -1/6 out of -1/3x + 5/6y

Answers

Answer:

[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]

Step-by-step explanation:

Please help! 20 points and I’ll give Brainliest
Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.

A. Write a linear model (equation) that represents the height of the plant after d days

B. What will the height of the plant be after 20 days

Answers

A. y=1.5d+5
B. 35 cm high

Answer:

A. y=1.5d+5

B. 35 cm high

Step-by-step explanation:

hope this helps

help? I need a answer

Answers

A.12
Hope this is correct. If not sorry. Good luck and have a great day! :)

2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?

Answers

Answer:

[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]

Step-by-step explanation:

Let's make a system of equations.

First, define the variables.

Let s= small cups and g= large cups

Next, make 2 equations. 1 for the money and 1 for the number of cups.

Money

A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265

Number

A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155

Here is our system of equations:

[tex]1.25s+2.50g=265 \\s+g=155[/tex]

Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.

Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-g

Now we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.

[tex]1.25s +2.50g=265[/tex]

[tex]1.25(155-g)+2.50g=265[/tex]

Distribute the 1.25

1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g

[tex]193.75-1.25g+2.50g=265[/tex]

Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.

[tex]193.75-1.25g+2.50g=265-193.75[/tex]       (Subtract 193.75)

[tex]-1.25g+2.50g=265-193.75[/tex]      

[tex]1.25g=71.25[/tex]      (Combine like terms).

1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25

[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]

Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.

[tex]s+g=155[/tex]

[tex]s+57=155[/tex]

Subtract 57 from both sides of the equation to isolate the variable, s.

[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]

Ashley sold 57 large cups and 98 small cups.

small cup she sold = x = 98

large cup she sold = y =57

Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!

Answers

The answer is : y = 0

How to solve your question

Solve for y:

-y = 3 y

Subtract 3 y from both sides:

-y - 3 y = 3 y - 3 y

-y - 3 y = -4 y:

-4 y = 3 y - 3 y

3 y - 3 y = 0:

-4 y = 0

Divide both sides of -4 y = 0 by -4:

(-4 y)/(-4) = 0/(-4)

(-4)/(-4) = 1:

y = 0/(-4)

0/(-4) = 0:

Answer: | y = 0

PLS I NEED HELP ASAP

Answers

Answer:

Answer C

.....,.................

Solve each system to find the answer

Answers

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

J.T has twelve songs on his playlist. Ken has five times as many. How many songs does Ken have on his playlist?

Answers

Answer:

60 Songs

Step-by-step explanation:

12 * 5= 60

what is the horizontal asymptote for this graph

Answers

Answer:

Y=0

Step-by-step explanation:

Matt gets $0.10 every 2 days
How much does he get in 6 days?

Answers

Answer:

$0.30

Step-by-step explanation:

2 days = $0.10

6 days = [tex]\frac{6}{2}[/tex] × $0.10

           = $0.30

Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.

Answers

Answer:

Average (additional) income = 100 - 50/x

Step-by-step explanation:

Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands

Ryan's additional average income = Income / Quantity of watches sold

(100x - 50) / x

= 100 - 50/x

Multiply the two binomials 6x - 5 and 2x + 3 and write your answer in
simplified terms

Answers

Answer:

x = 2

Step-by-step explanation:

6x + -5 = 2x + 3

-5 + 6x = 2x + 3

-5 + 6x = 3 + 2x

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

-5 + 4x = 3 + 2x + -2x

-5 + 4x = 3 + 0

-5 + 4x = 3

-5 + 5 + 4x = 3 + 5

0 + 4x = 3 + 5

4x = 3 + 5

4x = 8

x = 2

Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?

A. 42
B. 81
C. 158
D. 398

Help me quickly please!!!

Answers

Answer:

c hope this help

Step-by-step explanation:

Answer:

It’s A. 42

Step-by-step explanation:

Which statement best explains why the Tenth Amendment reserves some rights and powers to the states? The framers believed in the principle of federalism. The framers wanted the states to be more powerful than the national government. The framers wanted to limit citizens' rights. The framers wanted to control civil liberties.

Answers

Answer:

The farmers believed in the principal of federalism

Step-by-step explanation:

edge 2020

The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.

The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.

The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.

Read more on https://brainly.com/question/12623993?referrer=searchResults

A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A, B and C finish it, working together? In how many days will each of them finish it working alone?

Answers

Answer:

It takes A 30 days to finish the work aloneIt takes B 20 days to finish the work aloneIt takes C 60 days to finish the work alone

Working together, it takes them 10 days to finish the work

Step-by-step explanation:

Given;

[tex]\frac{1}{A} + \frac{1}{B} =\frac{1}{12} \\\\\frac{1}{B} + \frac{1}{C} = \frac{1}{15}\\\\\frac{1}{A} + \frac{1}{C} = \frac{1}{20}\\\\[/tex]

From given equations above;

[tex]\frac{1}{A} +\frac{1}{B} = \frac{1}{12}\\\\But, \frac{1}{B} =\frac{1}{15} -\frac{1}{C}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{C}= \frac{1}{12}\\\\Also, \frac{1}{C} = \frac{1}{20} -\frac{1}{A} \\\\ \frac{1}{A} +\frac{1}{15} -(\frac{1}{20} -\frac{1}{A})= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{20} +\frac{1}{A}= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{A} = \frac{1}{12} +\frac{1}{20}-\frac{1}{15}\\\\\frac{2}{A} = \frac{300+ 180-240}{3600} \\\\\frac{2}{A} =\frac{240}{3600}\\\\[/tex]

[tex]\frac{2}{A} = \frac{1}{15} \\\\A = 30 \ days[/tex]

solve for B;

[tex]\frac{1}{A} + \frac{1}{B} = \frac{1}{12}\\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{A} \\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{30}\\\\ \frac{1}{B} =\frac{5-2}{60} \\\\ \frac{1}{B} =\frac{3}{60}\\\\B = 20 \ days[/tex]

Solve for C;

[tex]\frac{1}{C} =\frac{1}{20} -\frac{1}{A}\\\\ \frac{1}{C} = \frac{1}{20} -\frac{1}{30}\\\\ \frac{1}{C} =\frac{3-2}{60} \\\\ \frac{1}{C} =\frac{1}{60}\\\\C = 60 \ days[/tex]

When they work together;

[tex]\frac{1}{A} +\frac{1}{B} +\frac{1}{C} =\frac{1}{y} \\\\\frac{1}{30} +\frac{1}{20} +\frac{1}{60} = \frac{1}{y}\\\\\frac{2+ 3+ 1}{60} =\frac{1}{y}\\\\\frac{6}{60} =\frac{1}{y}\\\\y = 10\ days[/tex]

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

-3×2d=12

-6d=12

d=12÷(-6)

then d= -2

Hope this helps.

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