Point C is on line segment BD
. Given BD=5x,BC=4x, and CD=4, determine the numerical length of BD.

Answers

Answer 1

Answer:

BD measures 20 units.

Step-by-step explanation:

We are given that Point C is on the line segment BD, where:

[tex]BD = 5x, BC = 4x \text{ and } CD = 4[/tex]

And we want to determine the numerical length of BD.

Since C is somewhere on BD, BD is the sum of BC and CD:

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

Substitute:

[tex](5x) = (4x) + (4)[/tex]

Solve for x. Subtract:

[tex]x = 4[/tex]

Hence, the value of x is 4.

BD is given by 5x. Therefore:

[tex]BD = 5(4) = 20\text{ units}[/tex]

In conclusion, BD measures 20 units.


Related Questions

Solve the equation x2 = 5.
o
x = 5
o
x = 25
o x= V5
o x= V5

Answers

Answer:

x^2 = 5

x = ±√5

Answer:

x = ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given

x² = 5 ( take the square root of both sides )

x = ± [tex]\sqrt{5}[/tex] , that is

x = [tex]\sqrt{5}[/tex] or x = - [tex]\sqrt{5}[/tex]

At the red box, you can rent DVDs for $1.75 each per day, or you can get unlimited rentals for a monthly fee of $30. At most, how many DVDs could you rent at $1.75 before spending more than the cost of a month's unlimited rentals?

Answers

17 would be the answer, you divide 30 by 1.75 and you get 17.14 but you can’t buy .14th of a book so you’re left with 17

(3/5) + (-6/7)+(-2/5)+(3/14) find​

Answers

Answer:

Step-by-step explanation:

Rearrange the givens

3/5 - 2/5 - 6/7 + 3/14

1/5 - 12/14 + 3/14

1/5 -  9/14

The lowest common multiple is 70

14/70 - 45/70 = - 31/70

Christian emptied 56 and 24 candies into 4 equal groups. How many candies were in each group

Answers

Answer: 20

Step-by-step explanation: 20x4=80. 56+24=80

add the amount of candies from both jars 56+24=80

he separated them into 4 equal groups so 80/4=20

20 in each group

Hey! Please help i will give brainlest!!·

Answers

Answer:

7⅔ pounds to be shared 1⅓ per container.

For a clearer and swift understanding

Change them from Mixed NUMBERS to simple fractions

7⅔ = 23/3

1⅓ = 4/3

Now

We need to Fill 23/3 pounds of walnuts by 4/3 each into a container

Simply divide 23/3 by 4/3 to know how many walnuts that would enter

23/3 ÷ 4/3

23/3 x 3/4 = 23/4.

SO 23/4 CONTAINERS WOULD BE FILLED.

23/4 containers when converted to mixed numbers is

5¾.

This is our answer.

But Looking at the Question

5¾ has been broken to two fractions.

The Number that'll fill the blank space is 5.

Why? 5 + 9/12 = 23/4 which is the answer we got initially.

ANSWER = 5

Hope it helps tho.

I'm open to questions if there's any!

Have a great day!

Help plz

Find (f - g) (x)
f(x) = 2x^2 – 2 and g(x) = 4x + 1
6x2

Answers

Answer:

(f - g) (x) = 2x^2 - 4x - 3

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

(f - g) (x) = 2x^2 - 2 - (4x + 1)

(f - g) (x) = 2x^2 - 2 - 4x - 1

(f - g) (x) = 2x^2 - 4x - 3

Can you please show all your work plus the equation

Answers

I need a pic or a document

1. 2x < 10, x = -3
x+7 % -5, x = 5
2.
6
state whether the given number makes the inequality true or false

Answers

Answer:

both questions is false

The GCF of two numbers is 3.

Their LCM of the two numbers is less than 20.

Which could not be the two numbers?

Answers

Answer:

Step-by-step explanation:

Let say a and b the 2 natural integers with 0 < a< b.

Since a*b=GCF(a,b)*LCM(a,b)

a*b < 3*20=60

[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]

Can someone help me it is algebra 2

Write the interval {x|—3 < x < 5}
as an inequality and using interval
notation.

Answers

I can't understand this question write it properly please ok plz


help me senpai...ahhhhh...plz.... someone​

Answers

Answer:

The answer is 3/3 or 1

Step-by-step explanation:

I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1

           When [tex]1^{-1}[/tex] = 1

         [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]

         = [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]

         = [tex]\frac{3}{3}[/tex]

         = 1

Hope that help :D

Four out of every 5 doctors use computers.
Write the ratio of doctors who use computers to all doctors.
If 4 out of 5 doctors use computers, how many doctors out of 5 do not use computers?
Write the ratio of doctors who use computers to those who do not.

Answers

Answer:

80%

Step-by-step explanation:

in other words 80 percent of Doctors use computers  and 20% do not use computers.

Hi! Please see the photo, I could really use some help!

Answers

x- intercepts is when x equals 0 and y- intercepts is when y equals 0. So, if the x is the time and the y is the height, the coordinates for the x- intercept is (0,3), and the y- intercept (7,0)
X intercept = 0,3 and y intercept =7,0

Find the sum of the finite sequence: 4, 2, 0, –2, – 4.

Answers

Answer:

The answer to this question is0

The answer you’re looking for is 0

here is a sequence of number 7, 5 ,3 ,1, - 1 find the next term in the sequence​

Answers

Answer:

-3

Step-by-step explanation:

in every term we subtract 2 so

7-2=5

so in every answer subtract 2

5-2=3

3-2=1

1-2=-1

-1-2=-3

Answer:

- 3

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 2

Thus subtracting 2 from the last term shown gives the next term

- 1 - 2 = - 3

PLEASE HELP!!!!!

Need hELP ASAP

Answers

Answer:

bro please help me make me brianliest I think c

Translate to an algebraic expression.
29 more than n

Answers

Answer: n+29
20 letters…

Find the reciprocal of 1 1/6​

Answers

Answer:

So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.

Step-by-step explanation:

Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)

Answers

First distribute and then combine like terms, answer: -1.42x+2.8

The simplified expression is -1.42x + 2.8.

How to Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)

Sure, let's simplify the expression step by step:

1. Distribute the coefficients to the terms inside the parentheses:

0.2 * 4.9x + 0.2 * 6 + 0.8 * 2 - 0.8 * 3x

2. Simplify each term:

0.98x + 1.2 + 1.6 - 2.4x

3. Combine like terms:

(0.98x - 2.4x) + (1.2 + 1.6)

-1.42x + 2.8

So, the simplified expression is -1.42x + 2.8.

Learn more about expression at https://brainly.com/question/723406

#SPJ3

Evaluate the expression x^2 - y^2, if x = -3, and y= 2

Answers

[tex]\\ \rm\longmapsto x^2-y^2[/tex]

[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]

[tex]\\ \rm\longmapsto 9-4[/tex]

[tex]\\ \rm\longmapsto 5[/tex]

A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate the total number of sweets in the bag.

Answers

Answer:

Total number of sweets in the bag is 28

Step-by-step explanation:

let the total number of sweets in the bag be x :

[tex]{ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x[/tex]

therefore fraction of mints = 1 - fraction of toffees :

[tex] = \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4} [/tex]

therefore:

[tex] = > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28[/tex]

total sweets number is 28

a square + 7 a + 12 =A + 4 ​

Answers

Step-by-step explanation:

[tex] {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2[/tex]

Answer:

a = -4 or a = -2

Step-by-step explanation:

a² + 7a + 12 = a + 4

=> a² + 7a - a + 12 - 4 = 0

=> a² + 6a + 8 = 0

=> a² + 2a + 4a + 8 = 0

=> a(a + 2) + 4(a + 2) = 0

=> (a + 4)(a + 2) = 0

=> a = -4 or a = -2

i need help ;^; please im no big brain​

Answers

Answer:

[tex]18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}[/tex]

Step-by-step explanation:

27= 3 * 3 * 3

75 = 3 * 5*5

18 sqr 3 + 55 sqr 3 = 73 sqr 3

(-57) x (-19) + 57
Can you explain this answer as Distributive Property? ☺️​

Answers

Answer:

[tex]1140[/tex]

Step-by-step explanation:

[tex](−57)×(−19)+57 \\ =1083+57 \\ =1140[/tex]

Hope it is helpful....

Answer:

1140

Step-by-step explanation:

1. you first need to distribute -57 to -19 as they are being multiplied

(-57) · (-19) + 57

(1083) + 57

2. now you remove the parenthesis and add the liked terms

1083 + 57 = 1140

hope this helps! if you have any questions, let me know!

Let w 1-5 and z=2+ 4i, Find z+w

Answers

Step-by-step explanation:

w+z=1-5+2+4¡

w+z=-2+4¡

and if you mean w= 1-5¡ , z= 2+4¡

z+w= 1-5¡+2+4¡

z+w= 3-¡

27(1-x)(x^2+x+1)+81x(x-1)

Answers

Step-by-step explanation:

hope this may help you. have a nice day.

Find the output, y, when the input, s, is – 7.
y =
y
1
8+
6+
4+
2+

CC
-8
-6
-4
-2
2
4
6
8
-2-
M
-4-
-6+
-8

Answers

Answer:

school:

cleaned class rooms and background

cooking equipment are laboratory tested of being germs free and also bacteria free

community: clean environment

Step-by-step explanation:

1-16 Please helppppp

Answers

Ok fort first second third four ten nine and eight

the larger of 2 numbers is twice the smaller number if 12 is subtracted from the larger number the result is 7 more than the smaller number

Answers

Answer:

The larger number is 4

Step-by-step explanation:

4 is the larger number and two is the smaller number..

Answer:

x=19y=38

Step-by-step explanation:

Let x be the smaller number

Let y be the larger number

The larger of 2 numbers is twice the smaller number :

[tex]y = 2x[/tex]

if 12 is subtracted from the larger number the result is 7 more than the smaller number :

[tex]y-12 = 7+x[/tex]

To solve for x  ;

Substitute 2x for y in the second equation

[tex]2x-12=7+x\\2x-x=7+12\\x = 19[/tex]

To solve for y

[tex]If\: y=2x ,\\y = 2\times 19\\\\y= 38[/tex]

2.8 2.08 and 2.008 in order

Answers

Answer:

2.008, 2.08, 2.8

Step-by-step explanation:

You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8

2.008, 2.08, 2.8


Thousandths are least than the hundredths and the hundredths are least than the tenths. Just remember that!
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