Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical length of \overline{BD}. BD

Answers

Answer 1

Answer:

[tex]BD = 19[/tex]

Step-by-step explanation:

Given

[tex]CD = 2x[/tex]

[tex]BD = 3x + 4[/tex]

[tex]BC = 2x -1[/tex]

Required

Find BD

Since C is on BD, we have:

[tex]BD = BC + CD[/tex]

Substitute values for BD, BC and Cd

[tex]3x + 4 = 2x - 1 + 2x[/tex]

Collect Like Terms

[tex]3x - 2x - 2x = -1 - 4[/tex]

[tex]-x = -5[/tex]

Multiply through by -1

[tex]x = 5[/tex]

Substitute 5 for x in [tex]BD = 3x + 4[/tex]

[tex]BD = 3 * 5 + 4[/tex]

[tex]BD = 19[/tex]


Related Questions

Find the value of x!!!!!!

Answers

Answer:

Sum of 3 angles in a triangle=180

x+55+72= 180

x+ 127=180

x= 180-127

x= 53

Answer:

63 degrees

Step-by-step explanation:

All angles of a triangle always add up to 180 degrees.

So you take both angles and add them together-55+72=117

You then would take 180 and subtract the total- 180-117=63

And that would be your final answer  

use the distributive property to find the sum of 112+68

Answers

Step-by-step explanation:

(56+56)+(34+34)

2(56+34)

2(90)

180

hope it helps!

6(x-4)+x=5(x-2) PLEASE HELP

Answers

Answer:

x+7

Step-by-step explanation:

dfghvnskdfcnvskdfc

Step-by-step explanation:

6(x-4)+x=5(x-2)

First we combine like terms.

6x-24+x=5x-10

7x-24=5x-10

-5x      -5x

2x-24=-10

   +24=14

2x=14

/2   /2

x=7

Sorry if it's wrong

Point B lies on segment AC . Find the length of segment BC if AB = 3.7 cm and AC = 7.2 cm.

Answers

Answer:

3.5 centimeters

Step-by-step explanation:

The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.

Does anyone know the answer to this? |21| - |-9|

Answers

Answer:

12

Step-by-step explanation:

21-9

12

Answer:

The answer is 12

Step-by-step explanation:

|21| = just 21

|-9| = positive 9

so take that into this:

21 - 9 = 12

x - 4 = 9
Help please

Answers

Answer:

13

Step-by-step explanation:

x-4=9

+4  +4

x=13

Answer:

13

Step-by-step explanation:

Step 1:

x - 4 = 9

Step 2:

x = 9 + 4

Answer:

x = 13

Hope This Helps :)

Which statement best describes how Charlemagne expanded his territory in Europe? He led the Catholic Church as the Holy Roman emperor. He became king of the Franks and then conquered other lands. He created schools in the kingdom and then became emperor of Saxony. He created new laws that allowed him to become king of the Lombards and Saxons.

Answers

Answer:

He became king of the Franks and then conquered other lands.

Step-by-step explanation:

Charlemagne became king of the Franks after the death of his father, Pepin the Short.

He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.

Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.

He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.

Answer:

b

Step-by-step explanation:

Find the x-intercept and y-intercept of the liné.
- 6x + 5y = 21

Answers

Answer:

x=-3.5 or -7/2 (same thing)

y=21/5

Step-by-step explanation:

x intercept is when y=0

y intercept is when x=0

so

x intercept is

-6x=21

x=21/-6

x=-3.5

y intercept is

5y=21

y=21/5

What is the value of n in the equation

Answers

u didn’t include any equation

Answer quick plzz...........................

Answers

Answer:

.

Step-by-step explanation:

How do u write “the quotient of c and 2 “ as a variable expression?

Answers

The variable expression c/2 represents the quotient of c and 2, where c can be any numerical value or variable.

To write "the quotient of c and 2" as a variable expression, we can use the division operation to represent the quotient.

The variable expression would be:

c/2

c represents the variable, and dividing c by 2 gives us the quotient of c and 2.

Let's break it down further to understand this expression in more detail:

The term "quotient" refers to the result of dividing one quantity by another.

We are interested in the quotient of c and 2.

The variable c represents an unknown value or a variable that can take on different numerical values.

The number 2 is the divisor or the quantity by which we divide c to find the quotient.

By using the division operator (/), we can create a variable expression that represents the quotient of c and 2.

We evaluate this expression by substituting specific values for c, we will obtain the result of dividing c by 2.

If we let c = 10, then the expression c/2 would evaluate to 10/2, which equals 5.

If c = 6, the expression c/2 would evaluate to 6/2, which equals 3.

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Zheng was curious whether △ABC and △CED are similar. He wrote a proof and came to the conclusion that they are not similar, but his proof is wrong. What is the first mistake Zheng made in the proof? Choose 1 answer:

Answers

Answer:

C

Step-by-step explanation:

Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle. An included angle is found between two sides that are under consideration.

In the given figure the triangles △ABC and △CED are similar the incorrect statement made by Zheng is that the side AC does not correspond to the side CD.

It means that the △ABC and △CED will not be similar to each other. But the two triangles △ABC and △CED are similar.

Therefore, Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

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A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward each time the wheel goes around? (Use 22/7 as an approximation for .)? i forgot this sorry someone help please

Answers

Answer:

Step-by-step explanation:

28x pi=87.96 in

0/2020
Print Assessment
Which is a list of irrational numbers from least to greatest?
8.
A.
B.
I./8, v
18.
1. VB
18.1
C.
D.
9.
Which expression(s) is (are) equivalent to

Answers

Answer:

The first option

Step-by-step explanation:

First, we can convert all of the numbers to decimal from (it will be easier to understand that way).

[tex]\pi = 3.14\\\\\sqrt{8} = 2.82\\\frac{\sqrt{2} }{4} =.353[/tex]

Now, we can easily see which numbers are bigger/smaller.

A conditional statement can be written as "If hypothesis, then conclusion". How can "your phone is set to vibrate so it will not disturb others" be written as a conditional statement?

Answers

Answer:

If your phone is set on vibrate, then it will not disturb others.

Step-by-step explanation:

It's an if then statement.

Write an equation of the parabola in intercept form that passes through (-2,0.05) with x-intercepts of -7 and -3.

Answers

Answer:

  y = 0.01(x +7)(x +3)

Step-by-step explanation:

For intercepts p and q, the equation will be ...

  y = a(x -p)(x -q)

For the given intercepts, the equation is ...

  y = a(x +7)(x +3)

We can find the value of 'a' by using the given point:

  0.05 = a(-2+7)(-2+3) = 5a

  0.01 = a . . . . divide by 5

The complete equation is ...

  y = 0.01(x +7)(x +3)

can someone please help me with these questions ( show work plz)​

Answers

Answer:

3) Y = -1.5

Step-by-step explanation:

7=-2y+4

We move all terms to the left:

7-(-2y+4)=0

We get rid of parentheses

2y-4+7=0

We add all the numbers together, and all the variables

2y+3=0

We move all terms containing y to the left, all other terms to the right

2y=-3

y=-3/2

y=-1+1/2

A guppy was swimming 8 feet below the surface of the river. It swam down 6 more feet
to escape a large, hungry fish. What is the position of the guppy now relative to the
surface?
To solve the problem, Jenna subtracted 8 - 6 and came up with an answer of 2 feet. Is Jenna
correct? Why or why not?
Yes, Jenna is correct.
No. The answer should have been -2 feet, not 2 feet, because the guppy is
below the surface.
No. Jenna should have subtracted -8 - 6 because the guppy started 8 feet
below the surface and swam down 6 more feet.

Answers

Answer:

No

Step-by-step explanation:

The answer should of been -14

Answer:

-8 feet

Step-by-step explanation:

Evaluate. 7 x (-7 + 15)

Answers

Answer:

solve the bracket first that is -7+15 = 9 *7 = 63

Step-by-step explanation:

i need help simplify 1/x^-4 please

Answers

x^4 is the simplified answer

1/100000 as a power of 10

Answers

Answer:

10⁻⁵

Step-by-step explanation:

1 / 100000

1 / 10⁵

10⁻⁵

After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information in the question,

The given fraction is,

1/10000

The value, 100000 is in the  denumerator so, the power should be in negative.

So, it can be written as,

1 × 10⁻⁵.

To know more about arithmetic operations:

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Put the following numbers in order from least to greatest (put the lowest number on the left)
-63,-34,-68,-44,-47

Answers

Answer:

-68 < -63 < -47 < -44 < -34

- 7x + 14 = 4x - 19
Please help

Answers

Answer:

-7x+14=4x-19

          -7x

      14-3x-19

         -3x-15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.
x=3

Complete the inequality statement 5.8cm__580mm

Answers

Answer:

5.8cm < 580mm

Step-by-step explanation:

Since 1mm=0.1cm, then 580mm=58cm which is bigger than 5.8cm, so therefore 5.8cm < 580mm

Answer: 5.8cm < 580mm

Its really easy if you think about it for a second.

Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1.  Subtract 12 from both sides: −6x − 12 = −4y 2.  Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y

Answers

Answer: 1.5x

Step-by-step explanation:

Answer:

1.5x + 3 = y

Step-by-step explanation:

−6x = 12 − 4y

1.  Subtract 12 from both sides: −6x − 12 = −4y

2.  Divide −4 to both sides: -6x-12 over -4 = -4y over -4

What is the probability of tossing 7 Coins and having 4 heads and 3 tails

Answers

Answer:

35/128

Step-by-step explanation:

7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.

Solve T = L(5 + RS) for S
0

Answers

Answer:

Step-by-step explanation:

=5

Distribute
T= L5+LRS
Subtract
T-L5=LRS
Divide to get S alone
T-L5/LR=S

~Tada~

y = 9(x – 8)2 + 17
Standard form

Answers

Answer:

I think that the answer would be y=18x−127

Which of the following is an equation of the line with slope 2 that passes through the point (-1,-4)​

Show complete working format

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope m = 2

Random point (-1, -4)

y = 2x + b

Step 2: Find b

-4 = 2(-1) + b

-4 = -2 + b

-2 = b

Step 3: Rewrite linear equation

y = 2x - 2

Answer should be Y=2x-2

The formula A = Pe^rt gives the balance A of an account earning what type of interest?
The formula A = Pert gives the balance A of an account earning interest compounded daily.
The formula A = Pert gives the balance A of an account earning interest compounded monthly.
The formula A = Pert gives the balance A of an account earning interest compounded continuously.
The formula A = Pert gives the balance A of an account earning interest compounded quarterly.

Answers

 From the given options, Option (C) shows the type of compound interest earned.

  Formula for the compound interest earned continuously is given by,

[tex]A=P.e^{rt}[/tex]

Here, [tex]A=[/tex] Final amount

[tex]P=[/tex] Principal amount

[tex]r=[/tex] rate of interest

[tex]t=[/tex] Time

  Therefore, Option (C) will be the correct option.

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