If BD=7x-10, BC=4x-29,and CD=5x-9 what is x ?

Answers

Answer 1

From the question, we know that the sum of BC and CD equals BD.

BD = BC + CD = 7x - 10

BC = 4x - 29

CD = 5x - 9

Let's set BC and CD equal to BD

4x - 29 + 5x - 9 = 7x - 10

Combine like terms on the left side.

9x - 38 = 7x - 10

Add 38 to both sides and subtract 7x from both sides.

2x = 28

Divide both sides by 2

x = 14

Answer 2

Answer:

Step-by-step explanation:

Hope this helps

If BD=7x-10, BC=4x-29,and CD=5x-9 What Is X ?
If BD=7x-10, BC=4x-29,and CD=5x-9 What Is X ?

Related Questions

A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
39 lb
OB. 52 lb
OC 193 lb
OD. 180 lb

Answers

Answer:

OC 193 lb is correcte!

The person's weight, in pounds, when rounded to the nearest

the whole number is equal to [tex]1.9\times10^{2} pound[/tex]

We have given that, A pound is approximately 0.45 kilogram.

0.45 kg = 1 pound

Thus if 0.45 kg is equal to= 1 pound

87 kg will be equal to [tex]=\frac{1}{0.45} \times 87=1.9 \times 10^2 pound[/tex]

What are the significant digits?

The number of significant digits in an answer should be equal to the least number of significant digits in any one of the numbers being multiplied, divided, etc.

Thus the answer should contain 2 significant digits.

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5. If x^1/2 =8, what is the value of x?

Answers

the answer would be: x=24

what is (3x – 2)(4x + 1) =

Answers

Answer:

[tex]12x^{2} -5x -2[/tex]

Step-by-step explanation:

We multiply the first term 3x by 4x and then 3x multiplied by one. We proceed to multiply by -2 by 4x and multiplied by -2 +1. We finally add and get the result.

[tex]12x^{2} -5x -2[/tex]

A very large book has pages numbered from 1 to 11521. How many times is the digit 3 printed? Helppp

Answers

Answer:

The total number of pages from page X to page Y is Y minus X plus 1.

So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.

Step-by-step explanation:

The ratio of dogs to cats is 3:8 there are a total of 99 dogs and cats in the shelter. How many are cats.

Answers

Answer:

72 cats

Step-by-step explanation:

sum the parts of the ratio, 3 + 8 = 11 parts

Divide the total by 11 to find the value of one part of the ratio.

99 ÷ 11 = 9 ← value of 1 part of the ratio, then

8 parts = 8 × 9 = 72 ← number of cats

What is the area of this shape? Explain why?

Answers

Answer: 672

1. You need to find the arena of the missing piece so with the 40 on top you will subtract 12 which will give you 28

2. To find the other side subtract 28-12 to get 16 then you will multiple then together to get 448

3. Now just Multiply 40 and 28 to get 1120

4. Subtract 1120 and 448 and you’ll get the answer of 672

5t+1= 9
Please help me​

Answers

Exact Form: t = 8/5

Decimal Form: t = 1.6

Mixed Number Form: t = 1 3/5 (one and three fifths)

Answer:

t = 8/5 or t = 1.6

This will be a fraction buh can be turned into a decimal

Step-by-step explanation:

subtract 1 on both sides 5t + 1 - 1 = 9 - 1

then simplify 5t = 8 after det divide both side 5t/5 = 8/5 and den your answer is t = 8/5...

HOPE DIS HELPS YU OR IS RIGHT!!!!!

Whenringingupacustomer,acashierneeds15secondstoprocesspaymentaswellas3secondstoscaneachitembeingpurchased.Ifittakes21secondstoringupacustomer,howmanyitemsarebeingpurchased?

Answers

Answer:

um, can you make that a bit clearer thanks! (:

Step-by-step explanation:

Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?

Answers

Answer:

198

Step-by-step explanation:

270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.

DOES ANYONE KNOW THIS?????

Answers

Answer:

if i;m right its 45 degrees

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

alternative angle theorem lets you know that angle acb is equal to cae and you can find acb since you know all angles add up to 180. 180-105-47=28

Given: B is the midpoint of segment AC. AB = 3x - 1, BC = x +7
Find: The length of segment AC
22
02
011

Answers

Answer:

hope it helps

plz mark as brainliest

Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

"To understand the calculation, check below."

Midpoint

The middle point of the a line segment is called the midpoint.

It's really the centroid of both segment and the ends, and it is equidistant from both.

It cuts the portion in half.

[tex]B[/tex] is the midpoint of [tex]

AC[/tex] [tex]\boldsymbol{AB=BC}[/tex][tex]3x-1=x+7[/tex] [tex]2x

AC=8[/tex] [tex]\boldsymbol{x=4}[/tex]

So,[tex]BC=4+7[/tex] [tex]=\boldsymbol{11}[/tex]

Therefore,[tex]AC=2BC[/tex] [tex]=2 \times 11\\=\boldsymbol{22}[/tex]Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

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Once you are finished with your practice problems respond to the discussion prompt:
Classify each of the following rational numbers as repeating or terminating decimals.
3/5
1/9
7/10
5/12

Answers

Answer:

terminating

repeating

terminating

repeating

Step-by-step explanation:

3/5 = 0.6 ; terminating

1/9 = 0.1111... ; repeating

7/10 = 0.7 ; terminating

5/12 = 0.41666666... ; repeating

Which of the following options represents the graph of the function show above? f(x) = (x+3) ^3- 1
f(x) = (x-3) ^311
f(x) = (x-3)^3+ 1
f(x) = ( x + 3)^3+1

Answers

Answer:

C

Step-by-step explanation:

First, notice that this is a cubic function.

The standard form for a cubic function is:

[tex]f(x)=a(x-b)^3+c[/tex]

Where a is the vertical stretch, b is the horizontal shift, and c is the vertical shift.

From our graph, we can see that unlike the parent function, x³, this cubic is 3 units to the right and 1 unit up from the standard position.

Therefore, our b is +3 and c is +1. Let's substitute these values. Also, let's assume a is 1. So:

[tex]f(x)=(x-3)^3+1[/tex]

Therefore, our answer is C.

And we're done!

If mZA = (8x + 6)° and m
ZB = (7x + 24)', then find the measure of ZB

Answers

i got x=18 i think u mistaken za for zb

How do you solve 2 1/3 + 5y = 4

Answers

Answer:

Not sure but that's my answer

Please help :D <3. Do not understand this one.

Answers

Sorry for my messy handwriting but this is the answer

True or false: To determine the absolute value of a number, you can count how many units it is from zero.

Answers

Answer:

True the absolute value is how many digits away the number is from zero.

Step-by-step explanation:

Please help me to prove this!​

Answers

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π                     →  A = π - (B + C)

                                                     → B + C = π - A

Use the Pythagorean Identity: cos² A + sin² A = 1   →  sin² A = 1 - cos² A

Use Double Angle Identities: cos 2A = 2 cos² A - 1 → cos² A = (cos 2A + 1)/2

                                             → cos A = 1 - 2 sin² (A/2)    

Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]

Use Cofunction Identities:  cos (π/2 - A) = sin (A)

                                             sin (π/2 - A) = cos A

                                             cos (-A) = cos (A)

Proof LHS → RHS:

[tex]\text{LHS:}\qquad \qquad \sin^2\bigg(\dfrac{B}{2}\bigg)+\sin^2 \bigg(\dfrac{C}{2}\bigg)-\sin^2\bigg(\dfrac{A}{2}\bigg)[/tex]

[tex]\text{Pythagorean:}\qquad 1-\cos^2 \bigg(\dfrac{B}{2}\bigg)+1-\cos^2 \bigg(\dfrac{C}{2}\bigg)-\bigg[1-\cos^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\cos^2 \bigg(\dfrac{B}{2}\bigg)-\cos^2 \bigg(\dfrac{C}{2}\bigg)+\cos^2 \bigg(\dfrac{A}{2}\bigg)[/tex]

[tex]\text{Double Angle:}\quad 1-\bigg(\dfrac{\cos(2\cdot \frac{B}{2})+1}{2}\bigg)-\bigg(\dfrac{\cos (2\cdot \frac{C}{2})+1}{2}\bigg)+\bigg(\dfrac{\cos (2\cdot \frac{A}{2})+1}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1-\dfrac{\cos B}{2}-\dfrac{1}{2}-\dfrac{\cos C}{2}-\dfrac{1}{2}+\dfrac{\cos A}{2}+\dfrac{1}{2}\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}[1-(\cos B+\cos C)+\cos A][/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]

[tex]\text{Given:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{\pi -A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]

[tex]\text{Cofunction:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]    

[tex]\text{Double Angle:}\qquad \dfrac{1}{2}\bigg[1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)+1-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg[2-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin^2 \bigg(\dfrac{A}{2}\bigg)[/tex]

[tex]\text{Factor:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{A}{2}\bigg)\bigg][/tex]

[tex]\text{Given:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{\pi -(B+C)}{2}\bigg)\bigg][/tex]

[tex]\text{Cofunction:}\qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)+\cos \bigg(\dfrac{B+C}{2}\bigg)\bigg][/tex]

[tex]\text{Sum to Product:}\ 1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot 2 \cos \bigg(\dfrac{(B-C)+(B-C)}{2\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{(B-C)-(B+C)}{2\cdot 2}\bigg)\\\\\\.\qquad \qquad \qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(-\dfrac{C}{2}\bigg)[/tex][tex]\text{Cofunction:}\qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)[/tex]

[tex]\text{LHS = RHS:}\quad \checkmark\\\\\quad 1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)=1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)\quad[/tex]

                   

A dolphin is at the surface of rhe water and then descends to a depth of 4 1/2 feet then the dolphin swims down another 2 3/4 feet what is the location of the dolphin relative to the surface of the water

Answers

Answer:

   down 7 1/4 feet

Step-by-step explanation:

4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4

The dolphin is 7 1/4 feet below the surface.

Answer:

Step-by-step explanation:

What is 3000 times 1000?

Answers

Answer:

3000000

Step-by-step explanation:

:D

The equivalent value of the equation is A = 3000000

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 3000

Let the second number be q = 1000

Now , A = pq

where A = 3000 x 1000

On simplifying the equation , we get

A = 3000 x 1000

So , the left hand side of the equation is equated to the right hand side by the value of ( 3000 x 1000 )

A = 3000000

Therefore , the value of A = 3000000

Hence , the expression is A = 3000000

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How many solutions does 6d+8=14+3d have?

Answers

Answer:

d =2

Step-by-step explanation:

6d+8=14+3d

Subtract 3d from each side

6d-3d+8=14+3d-3d

3d +8 = 14

Subtract 8 from each side

3d +8-8 = 14-8

3d =6

Divide by 3

3d/3 = 6/3

d =2

1- Find the slope of the line: y = -4/3 X-1*
m= -1 m= -4 m= -4/3 m= 4 v

Answers

Slope-intercept form: y = mx + b

m = the slope

y = the y-intercept

In our problem,

y = -4/3x - 1

m = -4/3

The slope is -4/3

What represents the area of a rectangle whose length is x − 6 and whose width is x − 8?

Answers

Answer:

Which of the following represents the area of a rectangle whose length is x - 6 and whose width is x - 8? A) x2- 14x - 48. B) x2+ 48. C) x2- 48. D) x2- 14x + 48 . and... for the first one multiply both out to get x^2-14x + 40 8 D 4(8x^3+a million) element out 4 utilising the x^3+y^3 formula, on (2x)^3 + a million^3)

Step-by-step explanation:

if segment ac has a midpoint of b, and ab=32 and bc=5x+7, what is the length of segemnt bc

Answers

Answer:

             BC = 32

Step-by-step explanation:

B being midpoint of AC means:

BC = AB = 32

A) The sum of 5 and 2 times p is at least 11.

Answers

5 + 2p is at least 11.

Subtract 5 from both sides.

2p is at least 11.

p > 5

I need help ASAP PLEASE!
Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: All integers are rational numbers.

Answers

heya....

your answer is:

All rational numbers are not integers. But all integers are rational numbers.

The statement is false.

It may help you...☺☺

X divided by 11 equals 10 divided by 12 what’s x

Answers

Answer:

x/11 = 10/12

x = 10*11/12= 55/6

Step-by-step explanation:

Solution:

[tex] \huge \pink {\tt { \frac{x}{11} = \frac{10}{12}}} [/tex]

By cross multiplication, we get

12x = 110

or, x = 110/12 = 55/6

Answer: x = 55/6

For a science experiment, Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolved 2.0 pounds of salt in 7.0 pints of water. Which person made a more concentrated salt solution? Explain. Use 1 L = 2.11 pints. Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

The concentration of Marcia's solution is:

1.0 kg / 3.0 L = 0.33 kg/L

The concentration of Bobby's solution is:

(2.0 lb × 1 kg / 2.2 lb) / (7.0 pints × 1 L / 2.11 pints) = 0.27 kg/L

Therefore, Marcia's solution is more concentrated.

Hi May I know how to solve this question

Answers

The correct answer is (2) 150
(3) is the correct answer!

which diagram show lines that must be parallel lines cut by a transversal

Answers

Answer: hope i helped with this answer~

Step-by-step explanation:

The fourth diagram  show lines that must be parallel lines cut by a transversal

What is Straight line?

A line is an infinitely long object with no width, depth, or curvature.

Parallel lines  refers to two lines which can be found on the same plane, at an equidistance and does not meet.

A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry.

The fourth diagram has two same-side interior angles that are supplementary (add to 180°).

The converse of the same-side interior angle theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.

Hence, the fourth diagram  show lines that must be parallel lines cut by a transversal

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