Point C is on line segment \overline{BD} BD . Given BC=x+4,BC=x+4, CD=5x,CD=5x, and BD=5x+7,BD=5x+7, determine the numerical length of \overline{CD}. CD .

Answers

Answer 1

Answer:

[tex]CD = 15[/tex]

Step-by-step explanation:

Given

[tex]BC = x + 4[/tex]

[tex]CD = 5x[/tex]

[tex]BD = 5x + 7[/tex]

Required

Determine CD

Since Point C is on segment BD, then we have

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

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

[tex]5x + 7 = x + 4 + 5x[/tex]

Collect Like Terms

[tex]5x - 5x - x = 4 - 7[/tex]

[tex]- x = -3[/tex]

Multiply both sides by -1

[tex]x = 3[/tex]

Substitute 3 for x in [tex]CD = 5x[/tex]

[tex]CD = 5(3)[/tex]

[tex]CD = 15[/tex]

Hence, the length of CD is 15 units

Answer 2

Answer:

Step-by-step explanation:

Given

Required

Determine CD

Since Point C is on segment BD, then we have

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

Collect Like Terms

Multiply both sides by -1

Substitute 3 for x in  

Hence, the length of CD is 15 units

Step-by-step explanation:


Related Questions

Solve x2 + 6x + 7 = 0

Answers:

Answers

Answer:

x2 + 6x = 0 - 7

8x = 7

8x/8 = 7/8

x = 7/8

Anusha is walking on a hiking trail at a rate of Three-fourths miles in One-fourth hour. At this rate, how far will Anusha walk in an hour?

Answers

Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3. She will walk 3 miles in an hour.

The distance that Anusha covered in one hour is 3 miles

If Anusha is walking on a hiking trail at a rate of three-fourths miles in One-fourth hour, this is expressed as:

3/4 miles = 1/4 hours

We need to get the rate of Aisha that is the distance traveled in an hour

x = 1 hour

Divide both expressions

3/4x = 1/4

Cross multiply

4x = 3 * 4

4x = 12

x = 12/4

x = 3

Hence the distance that Anusha covered in one hour is 3 miles

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I have 5digits My name is worth 90,000 my two is worth 2 thousand one of my sevens is worth 70 the other is worth 10 times as much my other digit is a six what number am I

Answers

Answer:

92776

Step-by-step explanation:

From the given question,

The analysis of the given question can be computed as follows:

I have 5 digits

My name is worth                      90000

my two is worth                            2000

one of my seven is worth                 70

and the other is worth 10 times

as much i.e 10× 70 = 700                700

my other digit is six                               6

What number am I?

So, we are expected to look for the summation of all the numbers

i.e   90000 + 2000 + 70 + 700 + 6

= 92776

Thus, the number is 92776

Simplify 5(1-4x)+2x-40

Answers

Answer:

-18x-35

Step-by-step explanation:

5(1-4x)+2x-40

5-20x+2x-40

-18x-35

Answer:

-35 - 18x

Step-by-step explanation:

Distribute to expand it: 5-20x + 2x -40

Collect like terms: (5-40)+ (-20x+2x)

Simplify to get the answer

What major key has the same number of sharps and flats as the key of a minor. A. A major B. F major C. C major D. G major This is a music question, not a math questions

Answers

Answer:

C major

Step-by-step explanation:

major key has the same number of sharps and flats as the key of minor.

Try These.
2/3*(-7)8. ​

Answers

Answer:

-7/12

Step-by-step explanation:

2/3×-7/8

= -7/12

Answer:

-7/12

Step-by-step explanation:

2/3×(-7)/8

2×(-7) = -14

3×8 = 24

-14/24= -7/12

what is an integer to represent a 14 feet drop?

Answers

Answer:

Step-by-step explanation:

-14 ft drop

drop is below and its a negative number

Sophie went to the lake with her family. First, they spent 1 1 4 hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?

Answers

Answer:

The total time spent on both fishing and swimming is 3 3/4 hours

Step-by-step explanation:

Here, we are interested in knowing the total time spent on fishing and swimming.

From the question, we are made to know that the time spent fishing is 1 1/4 hours or simply 5/4 hours.

Then they spent two times of this time swimming.

The time spent swimming is thus 5/4 * 2 = 5/2 hours

So the total time spent on both swimming and fishing will be;

5/4 hours + 5/2 hours = (5 + 10)/4 = 15/4 = 3 3/4 hours

I need help with algebra​

Answers

Answer:

Hello, my name is 1frogaroni feel free to ask any questions about algebra such as equations you don't understand. I will try my best to help you out with your question :)

Step-by-step explanation:

Oh and welcome to brainly where the community will be glad to help you!

Last year, Andrea ran about 120 kilometers during the months of March, April, and May. Estimate how many more kilometers she ran during those three months than she ran this year. Round to the nearest 1 kilometer. A 2-column table with 3 rows titled Total Distance Andrea Ran (kilometers). Column 1 has entries March, April, May. Column 2 has entries 48.7, 31.2, 35.66.

Answers

Answer:

March=49

April=31

May=36

Andrea ran about 116 km

this is about 4 km less than last year

Step-by-step explanation:

I got it right :))

Andrea ran 4 km extra last year if, and the total distance run this year is 120 km, The distance ran in this year's March, April, and May = 48.7, 31.2, and 35.66.

What is subtraction?

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given:

Total distance run this year = 120 km,

The distance ran in this year's March, April, and May = 48.7, 31.2, and 35.66.

Calculate the total distance = 48.7 + 31.2 + 35.66

The total distance this year = 115.56 or 116 km

Calculate the difference as shown below,

Distance = 120 - 116 = 4 km,

Thus, she ran 4 km extra last year.

To know more about subtraction:

https://brainly.com/question/28008319

#SPJ2

8th grade math, please help asap

Answers

The answer is ✨Point A✨

HELP!!
PLEASE MARKING BRAINLIEST!!!!

please find the square root of..

5,3,and 10...

Show work? Please :[[[[[[[

Answers

Step-by-step explanation:

hope the work helps for your answer :)

how can you make a sum of 12?​

Answers

Answer:

6+6+=12

Step-by-step explanation:

Answer:

BELOW

Step-by-step explanation:

Through six different ways ;

[tex]1+11=12\\2+10=12\\3+9=12\\4+8=12\\5+7=12\\6+6=12[/tex]

You have some money in your
pocket in the morning. You buy a book for $12 in the afternoon. When you get
home, you have $28. How much money did you have in the morning

Answers

Answer:$40

Step-by-step explanation:

x-12=28

+12. +12

X=40

Assignment
Examine the algebra tiles screen.
Which equation is being modeled?
0-4x + 3 = 2x + 1
IL
3x + (-4) = x + 2
0 - 4x + 3 = x + 1
O 3x + 4 = x + 2

Answers

Answer: 3x + (-4) = x + 2

Step-by-step explanation:

Hope it helps

Answer:

3x + (–4) = x + 2

Step-by-step explanation:

what is the slope going through the points 7,9 and 14,9

Answers

Answer:

The slope is 0

Step-by-step explanation:

The equation is y = 9

As you cans ee thre isn't a slope.

Answer:

9-9/14-7=0/7= undefined

Step-by-step explanation:

you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Round 120 problems in 5 hours

Answers

24 is the answer .:)

HELPPP HELPP!! WHAT IS THE VALUE OF X AND W???

Answers

Answer:

w = 42

x = 29

Step-by-step explanation:

We know that w + 138 must equal 180, so we get 42 for w. Then we know that 19 + x + 2 = 90, and w = 42. So if we add 42 + 19, and subtract that from 90, we get 29. Hope this helps!

A group of friends were working on a student film. They spent $475 on equipment, which was 95% of their total budget. What was the total budget for their student film?

Answers

their total budget was $500

PLEASE HELP which graph represents the solution set to the system of inequalities 2x+y>-4 y>2x y-3>1/2x

Answers

Answer:

Step-by-step explanation:

the answer is the first left bottom picture

how to do this question plz ​

Answers

Answer:

y=-2x-1

Step-by-step explanation:

first take 2 points from the graph to find m ( linear equation y=mx+b)

(-1,1) and (-2,3)

m=y2-y1/x2-x1

m=3-(1)/-2+1

m=2/-1

m=-2

now find b at point -1,1

y=-2 x+b

1=-2(-1)+b

b+2=1

b=1-2 ⇒ b=-1

y=-2 x -1

8(2a-7)= Distributive Property & Combining Like

Answers

Answer:

8 times 2a - 8 times 7

Step-by-step explanation:

The answer: 16a - 56

Answer:

16a-56

Step-by-step explanation:

8(2a-7)

We can write it as:-

=>8(2a)-8(7)

=>16a-56

Charlie has a collection of books that he wishes to display in a narrow bookcase with shelves of width 56cm. The thickest books are no more than 16cm wide and, when placed side by side, the entire collection takes up 2.4m. Find, with justification, the minimum number of shelves required to guarantee that all of the books can be displayed in the bookcase.

Answers

Answer:

5 shelves

Step-by-step explanation:

Given the following :

Width of shelves = 56cm

Maximum thickness of books = 16cm

When placed side-by-side, the entire collection of books takes up 2.4m

Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.

Entire book collection = 2.4m = (2.4 × 100) = 240cm

Width of shelf = 56cm

In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm

Hence, maximum number of books each shelf can hold with guarantee

Width of shelf / max. Width of book

= 56cm / 16cm = 3.5

Hence, a shelf can hold 3 books with full guarantee.

If books are all 16cm thick, then the number of books ;

240 cm / 16 cm = 15 books

If one shelf can hold 3 books, then,

15/3 = 5 shelves are required to hold the books with maximum guarantee.

Help I am being timed
Complete the multiplication problems and order them from the least to greatest according to their products.
6.5
X 2.5
0.6
x 2.5
6.0
x 2.5

Answers

6.5x2.5=16.25
0.6x2.5=1.5
6.0x2.5=15

1.) 1.5
2.) 15
3.) 16.25

I hope that helped. Good luck!

Answer:

0.6×2.5

6.0×2.5

6.5×2.5

Step-by-step explanation:

This is in order from least to greatest

A bag of pecans costs $3.84. If
each bag contains 40 pecans,
how much would one pecan cost?

Answers

Answer:

0.096 but since its money, it would be about 10 cents.

Step-by-step explanation:

to get the price for one pecan you would have to divide

3.84 by 40 just like you would have to divide 40 by 40 to get 1 pecan.

Which shows all the like terms in the expression? 4 x minus 3 + 7 x + 1

Answers

7x & 4x is the like terms in the expression

Answer: option c

Step-by-step explanation:

Simplify 1,999,999 with an exponent of 0

Answers

The value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

Before we can simplify with an exponent of zero, first we must understand that any number raised to the power of zero gives 1. Hence:

1,999,999 = 1,999,999 × 1

Since 1 can be expressed as 10⁰, the value becomes:

1,999,999 = 1,999,999 × 10⁰

Hence the value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

Learn more here: https://brainly.com/question/545746

The width of a rectangle measures (2.5u+9.8)(2.5u+9.8) centimeters, and its length measures (1.5u+3.9)(1.5u+3.9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Solution,

We have,

Width of rectangle, b = (2.5u+9.8) cm

Length of rectangle, l = (1.5u+3.9) cm

We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:

Perimeter = 2(l+b)

P = 2[(2.5u+9.8)+(1.5u+3.9)]

Collecting like terms

P = 2[(2.5u+1.5u)+(9.8+3.9)]

P=2(4u+13.7)

P = 8u+27.4

So, the expression for the perimeter of the rectangle is (8u+27.4) cm.

Please help I will give out brainliest

Answers

Answer:

see below

Step-by-step explanation:

The covers ( there are 2) are

2* .9 mm = 1.8 mm

Depending on how they are defining pages

If they are defining pages as the number of papers

400 pages at .13 =

400 *.13 = 52 mm

total = 2 covers + 400 pages

       = 1.8 + 52

       53.8 mm

If they are defining pages as the page numbers

Each page number is on the front and back so 400/2 = 200 pieces of paper

200 pages at .13 =

200 *.13 = 26 mm

total = 2 covers + 400 pages

       = 1.8 + 26

       27.8 mm

Answer:

52.8 mm thick

Step-by-step explanation:

0.9mm X 2mm90 = 1.8 mm

0.13mm X 400mm = 52 mm

1.8mm + 52mm = 53.8 mm

Please solve both questions. I need it ASAP!!! 30 points! Will give brainliest!!!

Answers

Answer
Cone=9
Pyramid=3.5
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