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

Which of the following equations is equivalent to 4x -y=3`?

Answers

Answer:

x-intercept = (3/4,0)

y'intercept = (0,-3)

Step-by-step explanation:

Not sure what conversion you need but here are the intercepts

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = 19.6h. If an object is
dropped from a height of 35.9 meters, with what velocity does it hit the ground?
Round your answer to the nearest tenth.

Answers

Answer:

The object hits the ground with a velocity of 703.6 m/s.

Step-by-step explanation:

Evaluating Functions

The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:

v = 19.6h

We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.

Substituting in the equation:

v = 19.6*35.9

v = 703.64 m/s

Rounding to the nearest tenth:

The object hits the ground with a velocity of 703.6 m/s.

Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%

Answers

She received a 35% discount (A).

230 * 0.35 = 80.5
230 - 80.5 = 149.50, true
By guess and check, it’s A

Solution: A

Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?

Answers

Answer:

$460.

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]

So the price yesterday was $460

What slope would make the lines
parallel?
y = -3x + 9
y = [?]x + 4

Answers

Answer:

- 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 9 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + 4 ← is the equation of a parallel line

purchase furniture of rs.50000 at 10% discount (accounting equation​

Answers

Answer:

5000

Step-by-step explanation:

50000 / 10= 5000

Cost of the furniture of 50000 rupees with 10% discount is 45000 rupees

What is Discount?

A deduction from the usual cost of something

Here Cost of the furniture = 50000 rupees

Discount = 10%

Then the discount price is = total cost × 10%

[tex]50000(\frac{10}{100})=5000[/tex] rupees

Then the purchased amount = Total price - Discount

[tex]50000-5000=45000[/tex] rupees

Hence, the purchased price is 45000 rupees

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Find the perimeter of the triangle.​

Answers

Answer:

39

Step-by-step explanation:

Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:

21 - x = 2x -3

add 3 to both sides

24 - x = 2x

add x to both sides

24 = 3x

divide by 3

8 = x

Now input 7 into the equations:

21 - x = 21 - 8 = 13

2(8) - 3 = 16 - 3 = 13

x + 5 = 8 + 5 = 13

Now add: 13 + 13 + 13 = 26 + 13 = 39

Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway

So just a simple: 13(3) = 39

Is this correct? I’m too tired and confused to understand this..

Answers

Answer:

yes

Step-by-step explanation:

I think ur right because ur smart :)

Answer:

yeah lol

Step-by-step explanation:

(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]

[tex]m=4[/tex]

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the function

[tex]g(x) = 2x-7[/tex]

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

The slope of the function f(x) = 4The slope of the function g(x) = 2

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

[tex]g(x) = 2x - 7[/tex]

comparing with the slope-intercept form (y = mx+b)

[tex]y = mx+b[/tex]    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7

Hence, the y-intercept of f(x) is greater.

which expression is equivalent to 15+3x?

Answers

Answer:

There are no pictures

Step-by-step explanation:

Show a picture and I will help you.

The Expression Equivalent to 15+ 3x is 3(5+x).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as,

15 + 3x

1. 3(5+ x)

Using Distributive property

15 + 3x

2. 5(3 +x)

Using Distributive property

15 + 5x

3. 3(5+ 3x)

Using Distributive property

15 + 9x

4. 5(3 + 3x)

Using Distributive property

15 + 15x

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Ariana is a songwriter who collects royalties

Answers

Answer:

Y e s

Step-by-step explanation:

N o ?

I d r k

Answer:

Whenever they are played in a commercial or a movie

Step-by-step explanation: oyriuqewyfuqasyerdb8o7iu

(04.07A) Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 Which equation best represents the relationship? y = 1 over 2x + 11 y = negative 1 over 2x + 11 y = 2x + 10 y = 2x + 11

Answers

Answer:

y = negative 1 over 2x + 11

Step-by-step explanation:

I know this because I had the same test as you and that is what I put and I got it right.

Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12

Answers

Answer:

y=4x+11

Step-by-step explanation:

Answer:

y=4x+11

Step-by-step explanation:

y - 3 = 4(x + 2)

=

y - 3 =4x + 8

=

y - 3 (+3) = 4x + 8 (+3)

=

y=4x+11

Help ASAP. Solve both

Answers

Step-by-step explanation:

question 15

For y to be parallel to z the sum of given angles must be equal to 180°

3x + 7 + 10x - 22 = 180° add like terms

13x - 15 = 180 add 15 to both sides

13x = 195 divide both sides by 13

x = 15

question 16

If y is parallel to z then the given angles are alternate exterior and has same measurement

11x - 3 = 4x + 39

11x - 4x = 39 + 3

7x = 42 divide both sides by 7

x = 6

what is 140 divided by 8

Answers

Answer:

17.5

Step-by-step explanation:

Answer:

17.5 is your answer

Step-by-step explanation:

140/8

17.5

Hope this helps?

What is the value of X I’ll give brainlist please someone help me

Answers

Answer:

69.333 or 208/3

Help?????????? Please

Answers

Answer: 2 cups of water to 8 cups of flour

Step-by-step explanation:

Answer:

2 cups of water to 8 cups of flour

Step-by-step explanation:

Plz help fast answer

Answers

Patriotic
Coastal
Graphic
Heroic
Dramatic
Angelic
Betrayal
Bacterial

Answer:

1: Patriotic

2: Global

3: Graphic

4:heroic

5: betrayel

6:angelic

7: dramatic

8: bacterial

Step-by-step explanation:

I think this is it

What is the sum of the complex numbers 3 − 4i and 5 + 3i ?

Answers

Answer:

8 - i

General Formulas and Concepts:

Algebra I

Combining Like Terms

Algebra II

Standard Form: a + bi

Step-by-step explanation:

Step 1: Define

(3 - 4i) + (5 + 3i)

Step 2: Simplify

Combine like terms (Z):                    8 - 4i + 3iCombine like terms (i):                      8 - i

Question 18
1 pts
If JKLM is an isosceles trapezoid, solve for x.
(8x – 23)
(6x + 11)°
M
L
HELPPP

Answers

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}
MN
and RR is a midpoint of \overline{NP}
NP
. If QR=11-xQR=11−x, and MP=57-7xMP=57−7x, what is the measure of MPMP?

Answers

Answer:

Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.

The length of QR is 4x -11 and the length of MP is 9x - 29.

We need to determine the measure of MP.

Value of x:

The value of x can be determined using the triangle midsegment theore

Applying the theorem, we have;

Substituting the lengths, we get;

Subtracting both sides by 8x, we have;

Adding both sides of the equation by 29, we get;Thus, the value of x is 7.

Measure of MP:

The measure of MP can be determined by substituting x = 7 in the length of MP.

Thus, we have;

Thus, the measure of MP is 34.

At the beginning of the month, Kimberly had $65.78. Since then, she has received three payments of $32.50 from her babysitting job. Kimberly’s 2 sisters each helped her babysit once during the month, so Kimberly paid them each $8.75.
If Kimberly did not spend any money, how much money does she have now? Enter your answer in the box

Answers

Answer:

she have 23.75 left

Step-by-step explanation:

Answer:

145.8$

Step-by-step explanation:

32.5$ multiplied by 3 =97.5%

she received 65.78. add those together and you get 163.28$

subtract 8.75 twice and you get 145.8$

PLEASE HELP !!!!!!!!!!!!!! WILL MARK BRIANLIEST CORRECT ANSWER !!!!!!!!!!!!

Answers

Not 100% sure but I did research and 14 and sqrt 24 are two sides or dimensions so to find a third side it is sort of hidden ya know, so you have to do extending equations to find 3 side I would divide square root of 24 and 14 then multiply by three :)

Answer: c=(220)^1/2

^1/2 is the square root

Step-by-step explanation:

c^2=a^2+b^2

c^2=14^2+(24^1/2)^2

c^2=196 +24

c^2=220

c=(220)^1/2

A satellite orbiting Earth has a period of 21 hours when its average distance is 3.8 × 107 m. Find the orbital period of a satellite when the average distance is 5.1 × 107 m. Use the law stating that the square of the time of orbit varies directly with the average radius cubed.

Answers

Answer:

hertygvgjsagjkefhuufcbfssdvmyjkixewd

If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false

Answers

Answer:

True

Step-by-step explanation:

The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).

if dan was 4 years old 18 years ago, how old will he be 16 years from now?

Answers

Answer:

4+18 = 22 thats now in 16  years would be 38 years old

Step-by-step explanation:

A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150

Answers

Answer:

A

Step-by-step explanation:

y = -3x + 150

I hope this is right.

To meet peak energy demand, an electric power cooperative buys back electricity generated locally. They pay #0.07 per solar-powered kWh (kilowatt-hour). How much money does a school make when it sells back 956 kWh to the cooperative?

Answers

Answer: #66.92

Step-by-step explanation:

Since the cooperative pays pay #0.07 per solar-powered kWh (kilowatt-hour), the amount that the school would make when it sells back 956 kWh to the cooperative would be calculated as:

= #0.07 × 956 kWh

= #66.92

Simplify.

3/4−4x+1/2x−1/2+1/2x

Enter your answer in the box.

Answers

Answer:

3(1−10x)43(1-10x)4

Step-by-step explanation:

34−4x+12x−212x34-4x+12x-212x

Simplify each term.

Combine 1212 and xx.

34−4x+x2−212x34-4x+x2-212x

Multiply the numerator by the reciprocal of the denominator.

34−4x+x2−(2(2x))34-4x+x2-(2(2x))

Multiply 22 by 22.

34−4x+x2−(4x)34-4x+x2-(4x)

Multiply 44 by −1-1.

34−4x+x2−4x34-4x+x2-4x

Find the common denominator.

Write −4x-4x as a fraction with denominator 11.

34+−4x1+x2−4x34+-4x1+x2-4x

Multiply −4x1-4x1 by 4444.

34+−4x1⋅44+x2−4x34+-4x1⋅44+x2-4x

Multiply −4x1-4x1 and 4444.

34+

Answer:

-3x + ¼

Step-by-step explanation:

Follow Me Please ...

For the picture I think you can zoom in to see it more clearly.

Answers

Answer:

y=15x

Step-by-step explanation:

YEPP PRETTY CONFIDENT IN THE ANSWER

9514 1404 393

Answer:

  s = 15w

Step-by-step explanation:

The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.

The equation asked for is ...

  s = 15w

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