If line n bisects CE, find CD. ​

 If Line N Bisects CE, Find CD.

Answers

Answer 1

If it bisect, then using the Line Bisector Theorem, it must be equal.

So x+6=4x-21

get like terms on 1 side

x+6=4x-21

-x. +21

27= 3x

x=9

plug the x in

CD= 9+6

CD=15

Answer 2

The value of CD such that line n is bisecting line segment CE is 15.

What is a line segment?

A line section that can connect two places is referred to as a segment.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that line, n is bisecting the line segment CE at D

CD = DE

Given CD = x + 6 and DE = 4x - 21

x + 6 = 4x - 21

4x - 21 = x + 6

4x - x = 6 + 21

3x = 27

x = 9

Therefore CD = 9 + 6 = 15

Hence "The value of CD such that line n is bisecting line segment CE is 15".

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Related Questions

The answers to this question make no sense please help

Answers

Answer:

Step-by-step explanation:

each die has numbers 1-6 thus there are 36 (6*6) possible outcomes

a) 18 of the 36 are even = 1/2 = .5 = 50%

b) (1,2) and (2,1) are the only 3's 2/36 = 1/18 = .055

c) there are 10 combos that are LESS THAN 6 (2,3,4,5)

   10/36 = .277 = 27.7%

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

Carla packed this box with one centimeter cubes what is the volume of the box plus is it cubic centimeters or just centimeters or is it square centimeters​ pls help you'll get brainlist

Answers

Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.

the answer is cubic centimeters

how do you find the arc length of a semi-circle?

Answers

the arc length is calculated by the formula                                                                    [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex]   then   [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex]   or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2  С=2πr:2=πr =8π=25,12

Please help me here. I've tried this one over and over and I'm unable to get the answer that was given. How do I find the area of this triangle?

Answers

Answer:

jjdjdjdj and technology and technology and technology and technology and technology

Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit but the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.

Answers

Answer:

there are 2 apples in the basket

there are 10 banana in the basket

Step-by-step explanation:

According to the Question,

We have, Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit.

let x for apple And y for banana So, x+y=12---Equation 1

And, the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.

Thus, 5x+7y=80 ----Equation 2

Now, (Equation 1) × 5 Subtract with (Equation 2) We get,

2y = 20 ⇒ y=10 (there are 10 banana in basket)

Put value of y=10 in Equation 2 we get

5x+70=80 ⇔ x=2(there are 2 apples in basket)

∣1/12 − 5/6∣ − (2/5 + 1/10)

I WILL GIVE BRAINLYST

Answers

Answer:

forst mark me as a brainleast

Write 8 as the ratio of two integer

Answers

Answer:

Step-by-step explanation:   7  1  16   37

8/1     8 divided by 1

16/2   16 divided by 2

24/3   24 divided by 3       I could go on, but won't

What are the coordinates of points E, F, and GS

A. E (2, 3), F (8,5), G (5,8)
B. E (3, 2), F (8,3), G (5,6)
C. E (3, 2), F (8,4), G (5,7)
D. E (3, 3), F (9, 4), G (6,7)

Answers

Answer:

its a i think

Step-by-step explanation:

The answer will be A


6. Write an equation of a line that is Parallel to the line: y = 3x -3

Answers

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

[tex]\rm\implies y = 3x - 3 [/tex]

Slope Intercept Form :-

[tex]\rm\implies y = mx + c [/tex]

where ,

m is slopec is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

[tex]\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}[/tex]

What is a set ? Give an example of a set .​

Answers

Answer: 24

Step-by-step explanation:

What is the slope of the line? What is the y-intercept of the line? y = 1

Answers

Answer:

m = 0

y intercept = 1

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = 1[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

m is slope c is y intercept

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = 0 [/tex]

[tex]\implies y - intercept= 1[/tex]

Slope of the line is 0, since y=mx+c, if m = 0, then y = c, where the constant (c)=1

y intercept of the line is y = 1.

Answered by GAUTHMATH

La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la misma verdadero o falso?

Answers

Answer:

Falso.

Step-by-step explanation:

Sea [tex]d = \frac{a}{b}[/tex] un número racional, donde [tex]a, b \in \mathbb{R}[/tex] y [tex]b \neq 0[/tex], su opuesto es un número real [tex]c = -\left(\frac{a}{b} \right)[/tex]. En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:

(a) El exponente es cero.

(b) El exponente es un negativo impar.

(c) El exponente es un negativo par.

(d) El exponente es un positivo impar.

(e) El exponente es un positivo par.

(a) El exponente es cero:

Toda potencia elevada a la cero es igual a uno. En consecuencia, [tex]c = d = 1[/tex]. La proposición es verdadera.

(b) El exponente es un negativo impar:

Considérese las siguientes expresiones:

[tex]d' = d^{-n}[/tex] y [tex]c' = c^{-n}[/tex]

Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:

[tex]d' = \left(\frac{a}{b} \right)^{-n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}[/tex]

[tex]d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]y [tex]c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{b}{a} \right)\right]^{n}[/tex]

Si [tex]n[/tex] es impar, entonces:

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = - \left(\frac{b}{a} \right)^{n}[/tex]

Puesto que [tex]d' \neq c'[/tex], la proposición es falsa.

(c) El exponente es un negativo par.

Si [tex]n[/tex] es par, entonces:

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left(\frac{b}{a} \right)^{n}[/tex]

Puesto que [tex]d' = c'[/tex], la proposición es verdadera.

(d) El exponente es un positivo impar.

Considérese las siguientes expresiones:

[tex]d' = d^{n}[/tex] y [tex]c' = c^{n}[/tex]

[tex]d' = \left(\frac{a}{b}\right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}[/tex]

Si [tex]n[/tex] es impar, entonces:

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = - \left(\frac{a}{b} \right)^{n}[/tex]

(e) El exponente es un positivo par.

Considérese las siguientes expresiones:

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left(\frac{a}{b} \right)^{n}[/tex]

Si [tex]n[/tex] es par, entonces [tex]d' = c'[/tex] y la proposición es verdadera.

Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.

How many marbles do you need to be able to arrange them into the shape of an equilateral triangle with 75 rows

Answers

Answer:

2850

Step-by-step explanation:

1+2+3+4+5+6+7...74+75

just add up all the numbers from 1 to 75

HELP! how do I find the degrees for this problem

Answers

Answer:

90°

Step-by-step explanation:

m∠x+m∠y+m∠z=180°

m∠x+m∠y+90=180

m∠x+m∠y=180-90=90°

A parabola opens upward. The parabola goes through the point (3,-1),
and the vertex is at (2,-2).

Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.

Answers

Answer:

a=1

Step-by-step explanation:

Hopefully this helps :)

The equation of the parabola is: y = (x - 2)² - 2. Finding the value of A

The vertex of the parabola is at (2,-2). Since the parabola opens upward, the equation of the parabola will be of the form:

y = A(x - 2)² - 2

We can plug the point (3,-1) into this equation to find the value of A.

-1 = A(3 - 2)² - 2

Simplifying the right side of the equation, we get:

-1 = A - 2

Adding 2 to both sides of the equation, we get:

1 = A

Therefore, the value of A is 1.

Writing the equation of the parabola

The equation of the parabola is:

y = (x - 2)² - 2

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Find the measure of Angle B

Answers

Answer:

45

Step-by-step explanation:

Both angles have the same value, therefore, you can set your formula up as

5x-105=2x+30

5x = 2x + 30 + 105

5x - 2x = 135

3x = 135

x = 135/3

x = 45

The temperature of a chemical solution is originally 21^\circ\text{C}21 ∘ C21, degrees, start text, C, end text. A chemist heats the solution at a constant rate, and the temperature of the solution is 75^\circ\text{C}75 ∘ C75, degrees, start text, C, end text after 121212 minutes of heating. The temperature, TTT, of the solution in ^\circ\text{C} ∘ Cdegrees, start text, C, end text is a function of xxx, the heating time in minutes. Write the function's formula. T=

Answers

Answer:

T(x) = 21 + 4.5x

Step-by-step explanation:

Given :

Original temperature = 21°C

Final temperature = 75°C

Time, x = 12 minutes

The temperature, T as a function of x, heating time in minutes :

We need to obtain the constant heating rate per minute :

Final temperature = initial temperature + (constant rate change,△t * time)

75 = 21 + 12△t

75 - 21 = 12 △t

54 = 12 △t

△t = 54 / 12

△t = 4.5°C

Hence, temperature change is 4.5°C per minute.

Hence,

T(x) = 21 + 4.5x

Answer:

T= 21+4.5x

Step-by-step explanation:

I got it right on Khan Academy

PLEASE MARK BRAINLIEST

Through any two points there is exactly one _____

space.

plane.

line.

point.

Answers

Answer:

C. Line

Is the correct answer

instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.

Given: SAS

Answers

Answer:

please I don't know can u please help me out

Answer:

The answer to your question where SAS is given  

∠T ≈∠ W

Length of a rope is 5 metre. What does it mean?

Answers

Step-by-step explanation:

Length of a rope is 5 meter. it means the rope is 5 meter long..

hope it helps.stay safe healthy and happy...

2√4^3
find the rationalizing factor

Answers

Hello!

2√4³ =

2 × √4 ³ =

2 × 2³ =

2 × 8 = 16

Good luck! :)

e) (x + 1)/(2x ^ 3 - 4x ^ 3) + (x - 1)/(2x ^ 3 + 4x ^ 2) = 1/(x ^ 2 - 4)

Answers

Answer:

X= − x ^3 + 2 x^2 − 3 x − 2 x ^3 ( x + 2 ) ( x − 2 ) = 0

Step-by-step explanation:

You're working as a floor rep in the local home improvement store. The store wants to increase its inventory. Last year, 40 lawn mowers cost $4,776. At the same cost, how much will 120 lawn mowers cost this year?

Answers


To set up this problem first you'll need to find out the price of one lawn mower.
Divide the amount if lawn mowers bought last year with the cost to get the cost of one lawn mower
Take the number you get and multiply that bu the amount of lawn mowers this year (120)

answer: $14,328

Nathan is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 38.15 meters. He stands 32.9 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Answers

Answer:

11.26 m

Step-by-step explanation:

The height of the tree is about 11.25 meters.

What are similar triangles?

When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.

Given that, the height of the person is 1.55 meters, the length of the tree's shadow is 38.15 meters, and the distance between the person and the tree is 32.9 meters.

Let the height of the tree be x.

Note that the scenario makes two similar triangles.

Since the ratio of the side lengths of similar triangles is proportional, it follows:

(38.15 - 32.9)/1.55 = 38.15/x

5.25/1.55 = 38.15/x

3.39 = 38.15/x

x = 38.15/3.39

x = 11.25

Hence, the height of the tree is about 11.25 meters.

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Using the number line below, draw a box and whisker plot for the following data: 12,18,18,20,22,22,25,26,30,30,32,32,35,35,38,49,42

Answers

Answer:

Step-by-step explanation:

Population size: 17

Median: 30

Minimum: 12

Maximum: 49

First quartile: 21

Third quartile: 35

Interquartile Range: 14

Outliers: none

Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)

Answers

Answer:

[tex]A(-3,2)\: B(-1,-2)\: C(1,3)[/tex]

[tex]A=1/2[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

[tex]=1/2[-3(-2-3)(+1(3-2)+1(2-(-2))][/tex]

[tex]=1/2(15+1+4)[/tex]

[tex]=1/2(20)[/tex]

[tex]=10[/tex]

[tex]ANSWER: 10 ~units^{2}[/tex]

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

hope it helps...

have a great day!!

The area of triangle with vertices A(-3,2), B(1,-2), and c(1,3) is 12 units^2.

What is area of triangle?

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

The green line represents the height of the triangle = 4 units

The red line represents the base of the triangle = 6 units

Area of the triangle = 1/2 x 6 x 4 = 12 units^2

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Write the product as a single power. 6^(5) * 6^(2) * 6^(5)

Answers

Answer:

6^12

Step-by-step explanation:

add up all the exponents

[tex]\displaystyle\bf \boxed{a^m\cdot a^n=a^{m+n}}\\\\6^5\cdot 6^2\cdot6^5=6^{5+2+5}=\boxed{6^{12} }[/tex]

if the sum is 4 and one of the integers is 1 what must the other integer be

Answers

Step-by-step explanation:

The answer to the question is 3

Answer:

3

Step-by-step explanation:

1 + X = 4

4 - 1 = X

3 = X

Calculate cos (theta) to two decimal places. PLS HELP ASAP

Answers

Answer:

B. -0.07

Step-by-step explanation:

Apply the Law of signs find θ.

Cos θ = (a² + b² - c²)/2ab

Where,

a = 7

b = 8

c = 11

Plug in the values

Cos θ = (7² + 8² - 11²)/2*7*8

Cos θ = (49 + 64 - 121)/112

Cos θ = -8/112

Cos θ = -0.0714285714

Cos θ = -0.07 (to 2 decimal places)

A boat has a ladder that's ten feet long, and hangs off the side of the boat,
with its last two feet submerged in water. If the ocean tide rises five feet,
how much of the ladder will be underwater?

Answers

Answer:

2ft

Step-by-step explanation:

The tide doesn't effect the part of ladder that is underwater that is always 2ft

How much of the ladder that will be underwater is 7 ft.

Since the ladder is 10 ft long and its last two feet are submerged under water, this implies that 2 ft of the ladder are submerged under water.

When the tide rises by five feet, the part of the ladder that would be under water is 2 ft + 5ft = 7ft.

So, how much of the ladder that will be underwater is 7 ft.

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