Point D is on line segment \overline{CE}
CE
. Given DE=x+10,DE=x+10, CD=6,CD=6, and CE=3x,CE=3x, determine the numerical length of \overline{DE}.
DE
.

Answers

Answer 1

Answer:

DE = 18

Step-by-step explanation:

Given that,

Point D is on line segment CE.

DE = x+10, CD=6 and CE=3x

We need to find the length of DE.

ATQ,

CE = CD + DE

Putting all the values,

3x = 6 + x+10

Taking like terms together

3x-x = 16

2x = 16

x = 8

DE = x+10

= 8+10

= 18

Hence, the length of DE is 18.


Related Questions

The slope of a line is 9/4. What is the slope of any line parallel to this line?

Answers

Answer:

below

Step-by-step explanation:

The slope of any line that is parallel to another is ALWAYS the same. Thus, the slope remains 9/4.

Best of Luck!

PLEASE HELP DUE VERY SOON! :)

Answers

Answer:

y = (1/3)x

Step-by-step explanation:

1) Use the slope formula: (y2-y1)/(x2-x1) and then substitute both points into the formula. That should give you (2-0)/(6-0) = 2/6 = 1/3.

1/3 would then be your slope

2) Since the y intercept is (0,0), the y-intercept isn't needed in the slope intercept equation

So that would give you y = (1/3)x

What name is given to each of the following angles?

a) An angle of exactly 90 degrees
b) An angle between 90 degrees and 180 degrees
c) An angle less than 90 degrees
d) An angle between 180 degrees and 360 degrees

Answers

Answer:

Step-by-step explanation:

a) Right angle

b) Obtuse

c) Acute

d) Reflex angle.

Thank you

The name of the angles are as follows:

1) x = 90 degrees:  Right angle.

2) 90 < x < 180: Obtuse angle.

3) 90 > x : Acute angle.

4) 180 < x < 360 :  Reflex angle.

Given,

Category of angles.

Now,

1)

Right angle : An angle of exactly 90 degrees.

x = 90 degrees

2)

Obtuse angle :

An angle between 90 degrees and 180 degrees.

90 < x < 180

3)

Acute angle:

An angle less than 90 degrees.

90 > x

4)

Reflex angle:

An angle between 180 degrees and 360 degrees.

180 < x < 360

Know more about angles,

https://brainly.com/question/30065078

#SPJ4

-24 = u ÷ 6

will give points and mark brainliest please help.

Answers

Answer:

-24=u / 6

  x6

-144=u

   

Step-by-step explanation:

Answer:

u = -144

Step-by-step explanation:

To solve this problem use the reverse rule. Multiply -24 by 6 to find the value of u.

-24 x 6 = -144

Check Work:

-144 ÷ 6 = -24

what are the coordinates of the x-intercept of the graph?
a. (-6,0)
b. (0,-6)
c. (9,0)
d. (0,9)​

Answers

Answer:

d. (9, 0)

Step-by-step explanation:

(x, y) so...

Where the line crosses the x-plane, x = 9

Since this is the x-intercept y will always equal zero

Therfore x-int = (9, 0)

A man drove a car 183.75 miles. The car's gas mileage for the drive was 24.5 miles. How many gallons of gas did the car use?

Answers

Answer:

7.5 gallons of gas

Step-by-step explanation: I know how to divide.

HELP! I will rlly appreciate it! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In four years, Ben's age will be 3/5 of Amy's age at that time. How many years old is Chris now?

Answers

Answer:

I believe the answer is 10

The area of a rectangle is equal to its length
times its width. If the area of a rectangle is 4x
20, which option(s) could be the length and width
of that rectangle? Select all that apply
A. 2 feet long and (2x +20) feet wide
B. 4 feet long and (x + 5) feet wide
C2 feet long and (2x + 10) feet wide
D. 4 feet long and (x + 20) feet wide
E. 2 feet long and (x + 5) feet wide

Answers

Answer: I think that the answer is all of the above.

I am not 100% sure if that is completely correct so just pick some answers and see if they are correct.

Step-by-step explanation:

Valerie took her family to Busch Gardens. She spent a total of $927.50. If she spent $158 on lunch for everyone and each ticket to the park cost $85.50, how many family members did she bring?

Answers

Answer:

I think the answer is either 4 or 3.

Step-by-step explanation:

I added the amount she spent for everyone with the parking cost which gaved me 243.5

Then I just times it  to find the answer.

PLEASE HELP

Carmen is writing an article for a magazine. She will be paid a flat fee and also will be paid for each word that is published. The total amount she can expect to be paid, in dollars, can be estimated using the function f(x) = 2.5x + 150 . where s is the number of words published . What is the inverse of this function?

Answers

Step-by-step explanation:

Given Function

f(x) = 2.5x + 150

f^-1(x) = ?

Let y = f(x)

y = 2.5x + 150

Interchanging the role of x and y we get,

x = 2.5y + 150

x - 150 = 2.5y

y = (x - 150) / 2.5

So therefore

f^ -1(x) = (x - 150) / 2.5

Hope it will help :)

simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the firs factor goes to the hundredth place.

Answers

Answer:

hol on im finna learn about it then answer

Step-by-step explanation:

...

Answer:

do u have the expression

Step-by-step explanation:

anyone know this? just click on the photo

Answers

Answer:

6x - 4

Step-by-step explanation:

6x -4 is the answer to that question

please save my life

Answers

We are Given:_______________________________________________

ΔABC right angled at B

BC = 8

AC = 20

Part A:_____________________________________________________

Finding the length of AB

From the Pythagoras theorem, we know that:

AC² = BC² + AB²

replacing the given values

(20)² = (8)² + AB²

400 = 64 + AB²

AB² = 336                  [subtracting 64 from both sides]

AB = 18.3                   [taking the square root of both sides]

Part B:_____________________________________________________

Finding Sin(A)

we know that Sin(θ) = Opposite / Hypotenuse

The side opposite to ∠A is BC and The hypotenuse is AC

So, Sin(A) = BC / AC

Sin(A) = 8/20                      [plugging the values]

Sin(A) = 2/5

Part C:_____________________________________________________

Finding Cos(A)

We know that Cos(θ) = Adjacent / Hypotenuse

The Side adjacent to ∠A is AB and the hypotenuse is AC

So, Cos(A) = AB / AC

Cos(A) = 18.3/20                    [plugging the values]

Cos(A) = 183 / 200

Part D:_____________________________________________________

Finding Tan(A)

We know that Tan(θ) = Opposite / Adjacent

Since BC is opposite and AB is adjacent to ∠A

Tan(A) = BC / AB

Tan(A) = 8 / 18.3                  [plugging the values]

Tan(A) = 80 / 183

Answer:

by using Pythagoras law

ac²=ab²+bc²

20²=ab²+8²

ab²=20²-8²

AB=√336=18.33

Step-by-step explanation:

sin a=p/h=8/20=2/5

cos a =b/h=18.33/20

tana =p/b=8/18.33

could you help me with this?​

Answers

it is B and if you have problems like this i recommend downloading mathpapa it’s just a calculator and it’s useful for graph equations like this :)

At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs?

Answers

Answer:

$72

Step-by-step explanation:

$768/265 = $3

$3 x 24 = $72

Answer:

$72

Step-by-step explanation:

768/256 = how much each hot dog was sold for

768/256 = 3

Each hot dog was sold for $3.

24*3 = $72

Therefore, the cost of 24 hot dogs is $72.

Pls help with number 4 PLSSSS

Answers

Answer:

Step-by-step explanation:

y=2x+4 I check over it to make sure it was right hope this helps

Use the properties of radicals to simplify the expression​

Answers

Given:

The expression is

[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}[/tex]

To find:

The simplified form of given expression.

Solution:

We have,

[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}[/tex]

It can be written as

[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}[/tex]                    [tex]\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right][/tex]

Therefore, the simplified form of given expression is [tex]\sqrt[3]{\dfrac{9}{4}}[/tex].

Note: We can further simplify this expression but be need use exponential properties.  

i need a 67 help helpp

Answers

Answer:

Acute and Obtuse

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

PLEASE HELP !!

What is the solution to the equation 6m - 60?
O m- 10
Om=50
Om=88
Om=360

Answers

m = 10

just divide 60 by 6!
The first option
-
Answer: m-10

A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 meters and the canoe's is -4.8 meters. The equation 12 + d = -4.8 represents this situation.

Answers

Answer:

4.8x345+338283

Step-by-step explanation:

Alvin’s age is three times Elga’s age. The sum of their ages is 40. What is Elga’s age?

Answers

Answer:

13

Step-by-step explanation:

40 devided by 3=13

27+13=40

Answer:

16

Step-by-step explanation:

because

find the values of m &n .. please help !!

Answers

Answer:

m = 12.728 or 18/root (2)/2, n = 9

Step-by-step explanation:

To find m, we can use sin(45) and cos(45).

Since sin(45) = root (2)/2  and this equals 9/m.

We set the equation root (2)/2  = 9/m and solve for m.

9 divided by root (2)/2 would give us 18/root (2), or 12.728.

m is 12.728.

Same process for n but we are using cosine this time.

cos(45) = root (2)/2 and this equals n/12.728.

Solving for n would give us root (2)/2 times 12.728.

This gives us that n is 9.

Simpliy: 4(2x + 3)

What’s the steps?

Answers

Answer:

8x + 12

Step-by-step explanation:

1.) 4(2x + 3)

2.) 8x + 12

You just distribute it out. When you have 8x + 12 the only other thing you could do is factor it to get back to 4(2x + 3)! Hope this helps!

Answer:

8x + 12

Step-by-step explanation:

4 × 2x = 8x

4×3 = 12

8x +12

For each equation, find a value for x that makes the statement true

Answers

Answer:

1. 36

2. 8.5

3. 2 i think

4. 6

5. 9

6. -3.6

Step-by-step explanation:

Help please
Which expression is equivalent to (8.4x + 2.9) + (-3.7x + 5)?​

Answers

Answer: 4.7x + 7.9

Step-by-step explanation:

two friends are 60 miles apart. they decide to ride their bicycles to meet each other. sally starts from the college and heads east, riding at a rate of 21 mph. at the same time teresa starts from the river and heads west, riding at a speed of 15 mph. how long does it take for them to meet?

Answers

1 hour and 40 minutes because they are going to both make a distance of 36 miles in 1 hour combined and 60/36 is 1.666 repeating which would be 1 hour and 40 minutes

What is the value of x

Answers

Answer:

X = 56 degrees

Step-by-step explanation:

Angles D and F are equivalent. Because the three angles must add up to 180 degrees, you must add 112 to 68 in order to reach 180. Then you must divide this in half, getting 56 degrees as your answer.

180 - 68 = 112

112/2 = 56

X=56

which rule best described the following pattern 8,4,10,6,12,8,14

Answers

Answer: -4,+6,-4,+6,-4,+6

Answer:

-4 and +6

Step-by-step explanation:

The sequence follows a pattern of subtracting 4 then adding 6.

8 - 4 = 4 + 6 = 10 - 4 = 6 + 6 = 12 - 4 = 8 + 6 = 14

On a map, a clothing store is located at (-2, -3). A seafood restaurant is located 6 units to the right of the clothing store. What are the coordinates of the restaurant?

Answers

No Answer

Step-by-step explanation:

There is no image so theres no way to help,

If you are going to ask this again make sure to put an image to get a better understanding, im sorry

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Which is the midpoint of the segment joining (12, 2) and (-5, – 7)?

Answers

Answer:

[tex]m(x, y)=(\frac{7}{2} , -\frac{5}{2} )[/tex]

Step-by-step explanation:

Midpoint of line segment is calculated as

[tex]m(x, y)=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]  -----------(1)

Here

[tex](x_1, y_1) = (12,2) \ \ and \ \ (x_2, y_2) = (-5, -7)[/tex]

Substituting values in equation (1)

[tex]m(x, y)=(\frac{12-5}{2} , \frac{2-7}{2} )[/tex]

[tex]m(x, y)=(\frac{7}{2} , -\frac{5}{2} )[/tex]

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