in the diagram below, line AB bisects CD at point E. If CD = 13x-15 and EC=5x+9, find the length of EC and the length of CD

Answers

Answer 1

Answer:

EC = 64

CD = 128

Step-by-step explanation:

AB bisects CD at E. So, EC = ED

EC + ED = CD

EC + EC = CD

2*(EC) = CD

2* (5x + 9) = 13x - 15

2*5x + 2*9 = 13x - 15

10x + 18 = 13x - 15

Subtract 10x from both sides

18 = 13x - 10x - 15

18 = 3x - 15

Add 15 to both sides

18  + 15 = 3x

      33 = 3x

3x = 33

Divide both sides by 3

x =33/3

x = 11

Length of EC = 5x + 9 = 5*11 + 9 = 55 + 9 = 64

CD = 13x - 15 = 13*11 - 15 = 143 - 15 = 128


Related Questions

Which of the following is a sinusoid??

Answers

A

Its pretty easy no cap

Can anyone help me with this problem?

Answers

Answer:

yes I can solve it

Step-by-step explanation:

according to mid point theorem

2×13.8=n+6.7

n= 27.6-6.7

n=20.9

6/7 x 5/6 Multiple. into the simpelst form

Answers

Answer:

5/7

Step-by-step explanation:6x5 =30  7x6=42    =30/42divided by 6 =5/7

HELP ASAP I ONLY HAVE 2 MINS

Each month, Ellie spends 4 hours in tap class at her dance studio. If each month she spends 20% of her class time in tap class, what is the total number of hours she spends in dance classes each month? Show your work or explain how you found your answer in complete sentences.

Answers

Answer:

20 hours

Step-by-step explanation:

20 hours, since you have to find the remaining 80% of her dance time.

I thought of this as follows:

1/5 = 4

2/5 = 8

3/5 = 12

4/5 = 16

5/5 (100% of her dance time!) = 20 hours!

I hope this helped a bunch! Tell me if you need any further assistance...

( :

PLEASE ANSWER! GIVE AN STEP-BY-STEP EXPLANATION, PLEASE for Brainliest! :)

*links are prohibited. *

Answers

Answer:

-4 4/5 = - 24/5

1 1/3 = 4/3        

-(24/5) / (4/3) = -72 / 20 = -3 12/20 = -3 3/5

Using a calculator -(4 4/5) / (1 1/3) = -3 3/5

luka invests $8000 at 6% interest for three years
what is the overall percentage increase if it is 6% compound interest?

Answers

6/100 x 8000 = 480 x 3 = 1440
1440/800=0.18
0.18 x 100 = 18%

What is the answer to 4.062 x 100

Answers

Answer:

406.2

Step-by-step explanation:

can someone answer not just use my points

Answers

Answer:

35

Step-by-step explanation:

Well if m<YVW = (12x-1) and x=3 then just plug in x

So,

m<YVW = (12(3)-1)

m<YVW = 36-1

m<YVW = 35

answer please!!!!!!!!!!!!1

Answers

Answer:

Given points= (0,2) (1,0)

0-2/1-0= -2/1

Slope= -2

Which best describes the character type of Curt Lemon in “The Dentist”?



stock character


foil character


dynamic character


flat character

Answers

Answer:

dynamic character

Step-by-step explanation:

Plz help

3k-3=15 k equals what??
5

Answers

Answer:

k = 6

Step-by-step explanation:

What you do is use inverse operations

15 + 3 =18

18 divided by 3 = 6

k = 6

3(6) - 3 = 15

Answer:

-3=15k-3k

-3=12k

-3÷12=12k÷12

k=-3 over 12

which statement about the graphs of f(x)=3x-4 and g(x)=3x+4

Answers

It’s 9/3x4+2x. 1/2



That’s the answer

A 6-month-old Sheltie puppy gets 2.5 cups of food twice per day.
Select the equation that describes how many cups of food she eats in terms of days.
A) y = x + 2.5
B) y = 2.5x
C) y = x + 5
D) y = 5x

Answers

Answer: D (y = 5x)

Explanation:

Read the question.

2.5 cups of food twice per day

Hence, y = 5x

10 divided by 2 1/4 = 10/1 divided by what = 10/1 times what is = what

Answers

Answer:

1st and 2nd Equation; what = 2.25, 3rd Equation; what = 4.44444

Step-by-step explanation:

40/4 / 9/4 = 40/9 = 4.44444

Complete the proof that m∠QSR+m∠UVX=180°.

Answers

Answer:

Co - interior angles of a parallelogram add up to 180 degrees

Step-by-step explanation:

Since UW and RT are parallel lines we can infer that if the QSR was flipped and joined to UVX it would create a parallelogram. Angle theorem states that co -interior angles of a parallelogram add up to 180 degrees.

Using properties of parallel line we can prove that

m ∠QSR + m ∠UVX =180°.

What parallel lines?

Numerous pairs of angles are created when a transversal line intersects any two parallel lines. While some angles are complementary, others are congruent (equal).

Properties of Parallel Lines

The fundamental characteristics listed below make it simple to recognize parallel lines.

Straight lines that are always the same distance away from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.

Given:

We have to prove that m ∠QSR+ m ∠UVX=180°.

Now, using parallel line property

<QSR = <SUV ( corresponding angle).........(1)

and, <SVU + <UVX = 180 (linear pair)

<QSR + <UVX = 180 ( from (1))

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ2

Does (6,2) make the equation y = x true?

Answers

Answer:

No it doesnt because 6 does not equal 2

can someone please help me answer one of these? thank u sm if u help!! :)

Answers

Answer:

  w = 28

  x = 18

Step-by-step explanation:

To make the triangles congruent, the hypotenuse and leg need to be the same length.

  5w +x -59 = -w +2x +91

  4w+4x -92 = 2x +2w

These two equations can be written in general form by subtracting the right-side expression from both sides.

  6w -x -150 = 0

  2w +2x -92 = 0

The second of these equations can be divided by 2 to give ...

  w +x -46 = 0

When that is added to the first equation, we have ...

  7w -196 = 0

  w -28 = 0

  w = 28

Using this in our simplified second equation, we have ...

  x = 46 -w = 46 -28

  x = 18

_____

Additional comment

These values of w and x make the side lengths ...

  UV = 2x -w +91 = 2(18) -28 +91 = 8 +91 = 99

  UT = 2x +2w = 92 . . . . from 2nd equation

Using the Pythagorean theorem, this makes ...

  TV = √(99^2 -92^2) = √1337 ≈ 36.57

why do people keep adding links instead of answering my? question

Answers

I know! It's kind if annoying tbh...

3(x+2)=62
find the correct solution

Answers

Answer:

[tex]\frac{56}{3}[/tex] or [tex]18\frac{2}{3}[/tex]

Step-by-step explanation:

First:

Divide both sides by 3 (you need to get x by itself)

[tex]\frac{3(x+2)}{3} = \frac{62}{3}[/tex]

Second:

Subtract both sides by 2

[tex]x+2 = \frac{63}3 -2[/tex]

And Finally just simplify

[tex]x = \frac{56}{3}[/tex]

or you can make it into a mixed fraction which is [tex]18\frac{2}{3}[/tex]

(just divide on the calculator)

Solve the equation-
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex]
Help me SalmonWorldTopper please please​

Answers

Given info:- 5/(x-3) - 4/(x+4) = 1/x. And here the problem has asked to find out the value of x ?

Let's solve!!

Given equation is 5/(x-3) - 4/(x+4) = 1/x

⇛ [5(x+4) - 4(x-3)]/(x-3)(x+4) = 1/x

⇛ (5x+20-4x+12)/(x-3)(x+4) = 1/x

⇛ (x+32)/(x-3)(x+4) = 1/x

On applying cross multiplication then

⇛ x(x+32) = (x-3)(x+4)

⇛ x²+32x = x(x+4)-3(x+4)

⇛ x²+32x = x²+4x-3x-12

⇛ x²+32x = x²+x-12

⇛ x²+32x-x²-x = -12

⇛ (x²-x²)+(32x-x) = -12

⇛ 0+31x = -12

⇛ 31x = -12

⇛ x = -12/31

∴ x = -12/31

The value of x for the given problem -12/31

VERIFICATION:

Check

If x = -12/31 then LHS of the equation is

5/(x-3) - 4/(x+4)

⇛ 5/[(-12/31)-3] -4/[(-12/31)+4]

⇛ 5/[(-12-93)/31] -4/[(-12+124)/31]

⇛ 5/(-105/31) - 4/(112)/31

⇛ (5×-31)/105 - (4×31)/112

⇛ (-115/105)-(124/112)

⇛ (-31/21) - (31/28)

⇛ (-31)[(1/21)+(1/28)]

⇛ (-31)(21+28)/(21×28)

⇛ (-31×49)/(21×28)

⇛ (-31×7)/(21×4)

⇛-31/12

And RHS = 1/x

⇛ 1/(-12/31)

⇛ -31/12

⇛ LHS = RHS is true for x = -31/12

A rental car company charges $75.77 per day to rent a car and $0.07 for every mile

driven. Scarlett wants to rent a car, knowing that:

• She plans to drive 325 miles.

She has at most $340 to spend.

Which inequality can be used to determine d, the maximum number of days Scarlett

can afford to rent for while staying within her budget?

340 < 75.77d + 22.75

340 < 75.77(d + 22.75)

Submit Answer

340 > 75.77(d + 22.75)

340 > 75.770 + 22.75

Answers

The daily rent is an illustration of a linear inequality.

The inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

The daily charge is given as:

[tex]\mathbf{Daily = 75.77}[/tex]

The rate is:

[tex]\mathbf{Rate = 0.07}[/tex]

Let the number of days be d.

So, the total charges is:

[tex]\mathbf{Total = Daily \times d + Rate \times Miles}[/tex]

This gives

[tex]\mathbf{Total = 75.77 \times d + 0.07\times 325}[/tex]

[tex]\mathbf{Total = 75.77 \times d + 22.75}[/tex]

From the question, we understand that he has at most $340 to spend.

At most means <=

So, we have:

[tex]\mathbf{75.77 \times d + 22.75 \le 340}[/tex]

[tex]\mathbf{75.77d + 22.75 \le 340}[/tex]

Rewrite as:

[tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

Hence, the inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

Read more about linear inequalities at:

https://brainly.com/question/11897796

9
8
7
PER
6+
57
4-
3
As:
24
MY
4
-9 -8 -7 -6 -5 -4 -3 -2
→ 2
8 9
1
2
3 4
5
67
Co
-2
-3
-4
-5
-6-
MY
Pro
-7
-8
Pro
-9
Tea

Answers

Answer:

That's quantum mathematics

Simplify.

∣∣−13∣∣

3


13

−13

−3

Answers

Answer:

The answer is = 13

Step-by-step explanation:

Hope it helped youuuuu

Express as a trinomial.
(x-1)(2x-8)
(x−1)(2x−8)

Answers

Answer:

this is a binomial, but its 2x^2-10x+8

Step-by-step explanation:

you use the distributive property

Use the image to the right to determine how tall the tree is . The hypotenuse is 7.5m and the leg is 6.2m

Answers

Answer:

4.22m.

Step-by-step explanation:

Using Pythagoras theorem:

7.5^2 = h^2 + 6.2^2

h^2 = 7.5^2 - 6.2^2

h^2 = 17.81

Height h= 4.22.

The cost for 4 hamburgers and 3 drinks is $14.75. The cost for 5 hamburgers and 4 drinks is $18.75. How much does 1 hamburger cost.

Answers

Answer:

each hamburger is $2.75

Step-by-step explanation:

We can solve for this system of equations where x are the burgers, and y are the drinks:

4x+3y=$14.75

5x+4y=$18.75

We need to multiply the first row by 4, and multiply the second row by -3 to be able to solve for x

Multiplying, we get:

16x+12y=$59

-15x-12y=$56.25

Now subtracting the top by the bottom, we are left with:

x=$2.75

Thus, each hamburger cost $2.75

side note, you can plug in x=$2.75 into either equation and solve for y to figure out what each drink costs :)

read base and height to find area of triangle in algorithm and flowchart​

Answers

There is no picture of the triangle?

What percent of the students prefer superhero movies? Round your answer to the nearest whole number percent.

Answers

Answer:

36%

Step-by-step explanation:

47/132=36%

The = is means the equal sign with the ~ position

The percent of the students prefer superhero movies rounded to the nearest percent is; 36%

How to work with percentages?

The table of this random survey of students when seen online tells us that;

Total number of students that prefer super hero movies = 47

Total Number of Students that prefer Comedy = 50

Total Number of Students that prefer drama = 35

Thus;

Total number of students surveyed = 47 + 50 + 35

Total number surveyed = 132

Thus;

Percent of the students that prefer superhero movies = 47/132 * 100%

Percent of the students that prefer superhero movies = 36%

Read more about percentages at; https://brainly.com/question/843074

PLEASE HELP I REALLY NEED IT ITS MATH , ​

Answers

Answer:

a) y=200x+450

b) y=200(8)+450 = $2050

c) 21 months

Step-by-step explanation:

a) y=200x+450

200 per month plus her initial deposit of 450

b) y=200(8)+450 = 2050

To see how much she'll have after 8 months, plug in 8 for x

c) 4500<200x+450

4050<200x

20.25<x

x>20.25, so after 21 months since 20.25 is more than 20 months you have to round up to 21

a=8 b=24 what is ab?

Answers

If a =8
And b=24
And AB means to multiply a and b
Then
AB=8x24
AB=192

Answer:

Step-by-step explanation:

ab = 8 * 24

      = 192

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