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

Pls help how do I solve this?

Answers

multiply length by width ( 5 x 4.2x^2-3xy) to get 21x^2 -15xy as your final answer

Answer:

area is just multiplication of sides so..

(4.2x^2 - 3xy) (5)

= 21 x^2 - 15 xy

doneeeeee

The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?

Answers

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1

midpoint (10,5), endpoint (4, - 1)

Answers

Answer:

M=(7,2)

Step-by-step explanation:

M=(10+4/2,5+-1/2)

M=(7,2)

Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE

Answers

Answer: Yes. For example: (-2)*0.5 = -1 > -2

The product of 4.2(6+0.43) is 27.006

please answer this question for me. please help.​

Answers

19 divided by 2 is 9.5 meaning both are 9.5 so 9.5x9.5-9.5=80.75 so that should be ur answer also another way to know if the shape are 9.5 u can multiply9.5x4 and it gives u 38 (we multiply by four cuz that’s how many shapes u have)

Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.

What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?

Answers

Answer:

Your final grade will be 77%

Step-by-step explanation:

40% will be from your test average which is 95

30% will be from your homework average which is 60

30% will be from your quiz average which is 70

Calculating based on these weights:

(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%

Find the area of the following quadrilateral.

Answers

Answer: 480

Step-by-step explanation:

The quadrilateral ABCD is a trapezium

The formula for area of trapezium is

Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h

So we can place the given values into the formula.

We get

Area = 1/2 × (9+15) × 40

Area = 1/2 × 24 × 40

By multiplying all of them we get

Area = 480cm

PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​

Answers

Answer:

OPTION A:0.85M+2.50.

Step-by-step explanation:

SEE IMAGE FOR SOLUTION

Find the mean of 9, 10, 3, 9, 2, 3 graphically.

Answers

Answer:

Mean=6

Sum of numbers= 30

Step-by-step explanation:

For what value of w is 4w = 2w - 8 ?

Answers

Answer:

w= -4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]

PLEASE HELP ASAP -- WITH THE WORKK

50 points

Answers

Part-A:-

(f×g)=

[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]

[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]

[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]

Now

[tex]\\ \sf\longmapsto (f.g)(3)[/tex]

[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]

[tex]\\ \sf\longmapsto -72+144+560[/tex]

[tex]\\ \sf\longmapsto 72+560[/tex]

[tex]\\ \sf\longmapsto 632[/tex]

Part-B:-

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]

[tex]\\ \sf\longmapsto 9+9-70[/tex]

[tex]\\ \sf\longmapsto 18-70[/tex]

[tex]\\ \sf\longmapsto -52[/tex]

Now

[tex]\\ \sf\longmapsto g(f(3))[/tex]

[tex]\\ \sf\longmapsto g(-52)[/tex]

[tex]\\ \sf\longmapsto 4(-52-3)[/tex]

[tex]\\ \sf\longmapsto 4(-55)[/tex]

[tex]\\ \sf\longmapsto -220[/tex]

Part:-C

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto 4(-2-3)[/tex]

[tex]\\ \sf\longmapsto 4(-5)[/tex]

[tex]\\ \sf\longmapsto -20[/tex]

Now

[tex]\\ \sf\longmapsto f(g(-2))[/tex]

[tex]\\ \sf\longmapsto f(-20)[/tex]

[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]

[tex]\\ \sf\longmapsto 400-60-70[/tex]

[tex]\\ \sf\longmapsto 400-130[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Part-D:-

g×f=f×g

[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]

[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]

[tex]\\ \sf\longmapsto 32-96+560[/tex]

[tex]\\ \sf\longmapsto -64+560[/tex]

[tex]\\ \sf\longmapsto 496[/tex]

List all the intercepts for the graph shown and determine whether the graph is symmetric with respect to he x-axis, y-axis, origin, or none of these.
X-int: (___,0).
Y-int: (0,___).

Is it symmetric about the x-axis: yes/no
Is it symmetric about the y-axis: yes/no
Is it symmetric about the origin: yes/no

Answers

There are 3 x intercepts
(-2, 0) (0, 0) and (2, 0)

There is a y intercept at (0, 0)

Symmetric about x axis: No

Symmetric about y axis: No

Symmetric about the origin: Yes

Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same?

Answers

they will weigh the same at 11.5 weeks

Answer:

20 weeks

Step-by-step explanation:

200-1.5w=180-0.5w

You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.

Solve for M
-3+m/ 9 = 10

Answers

Step-by-step explanation:

-3+m/9=10

m/9=10+3

m/9=13

m=13×9

m=117

Note:if you need to ask any question please let me know.

3 2/9 - 2 1/2 pls help me I stuck it it due today

Answers

Answer:

[tex]\frac{13}{18}[/tex]

3 2/9 - 2 1/2 = 29/9 - 5/2 = 58/18 - 45/18 = 13/18

Please Answer ASAP

The first term of a GP is 1, the sum of the third and fifth term is 90. Find the
common ratio.

Answers

hence, the common ratio of the given G.P. is 3 or −3.

Answer:

common ratio is -3 or 3

Step-by-step explanation:

[tex]u_1=1\\\\u_3=u_1*r^2=r^2\\\\u_5=u_1*r^4=r^4\\\\r^2+r^4=90\\\\r^4+r^2-90=0\\\Delta=1+4*90=361=19^2\\\\r^2=\dfrac{-1-19}{2} =-10 (exclude\ a\ square\ is\ positive)\\or\\r^2=\dfrac{-1+19}{2}=9\\r^2-9=0\\(r-3)(r+3)=0\\So\ r=-3\ or\ r=3\\[/tex]

(
Solve this equation for p:
P+1 / 2 = 3p+7/5

Answers

Answer:

p = -10

Step-by-step explanation:

[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions

6p + 14 = 5p + 5

6p - 5p = 5 - 15 subtract like terms

p = - 10

Consumer Math

Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.

Answers

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

Learn more about strategy here:

https://brainly.com/question/20350382

#SPJ2

Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function

Answers

Answer:

h is an odd funtion

Step-by-step explanation:

this is because h(-x)=h(x)

Answer: A

Step-by-step explanation:

A sum of odd functions is a odd function

Proof:

[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]

4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast​

Answers

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?

A. 3.2 in.

B. 3.25 in.

C. 3.4 in.

D. 3.45 in.

Answers

Answer:

C.

Step-by-step explanation:

.

Answer:

c) 3.4 in

Step-by-step explanation:

combine like terms and simplify. 7(3y-5)-2(10+4y)

Answers

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST ​

Answers

Answer:

Subtract four to get the next term.

Step-by-step explanation:

66 - 4 = 62

62 - 4 = 58

58 - 4 = 54

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer:

B

Step-by-step explanation:

Subtract 4

Solve for x.



6x + 2 = 14

x = 12
x = 2 2/3
x = 2
x = 1 3/4

Answers

Answer:

x=2

Step-by-step explanation:

6x + 2 = 14

Subtract 2 from each side

6x+2-2 = 14-2

6x= 12

Divide by 6

6x/6 = 12/6

x=2

Answer:  x=2

Step-by-step explanation:

the sum of two numbers is 17 and their differance is 3

Answers

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

-----------------------------------------

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

can someone please help me with this?

Answers

I think the given figure will help you....

Evaluate the expression

Answers

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

one half of a number plus 7

Answers

Answer:

1/2n + 7

n =  unkown number

Step-by-step explanation:

Answer:

1/2(x) + 7

Step-by-step explanation:

x= unknown number

Pamella late for school 10% of time. Richard late for 15% of the time.
a) What percentage are they both late?
b) What is the probability only one of them is late?​

Answers

Answer:

a) 25%

10%+15% = 25%

b) doesn't have any idea

what's the Answer ?

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

Answers

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]

Now, use the following identity:

[tex]\sqrt{a^2} = |a|[/tex] = ± a

Last, we get:

√25 = √5² = ± 5
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