If overline BE || overline CD , find the perimeter of triangle ACD . А 6 4 B 10 E x - 4; x - 2 y D 24 20

If Overline BE || Overline CD , Find The Perimeter Of Triangle ACD . 6 4 B 10 E X - 4; X - 2 Y D 24 20

Answers

Answer 1

The perimeter of a triangle is the sum of its side lengths.

The perimeter of triangle ACD is 40 units

Start by calculating the values of x and y, using the following equivalent ratios

[tex]6 : 4 = x - 2 : x - 4[/tex]

[tex]6 : 10 = 6 + x - 2 : y[/tex]

So, we have:

[tex]6 : 4 = x - 2 : x - 4[/tex]

Express as fraction

[tex]\frac 64 = \frac{x-2}{x-4}[/tex]

Cross multiply

[tex]6x - 24 = 4x - 8[/tex]

Collect like terms

[tex]6x - 4x = 24 - 8[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex]x = 8[/tex]

Also, we have:

[tex]6 : 10 = 6 + x - 2 : y[/tex]

Express as fraction

[tex]\frac 6{10} = \frac{6 + x -2}{y}[/tex]

Substitute 8 for x

[tex]\frac 6{10} = \frac{6 + 8 -2}{y}[/tex]

[tex]\frac 6{10} = \frac{12}{y}[/tex]

Cross multiply

[tex]6y = 120[/tex]

Divide both sides by 6

[tex]y = 20[/tex]

The perimeter of triangle ACD is then calculated as:

[tex]P =6 + x - 2 + y + x - 4 + 4[/tex]

Substitute values for x and y

[tex]P =6 + 8 - 2 + 20 + 8 - 4 + 4[/tex]

[tex]P =40[/tex]

Hence, the perimeter of triangle ACD is 40 units

Read more about perimeter at:

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Related Questions

ABCD is a parallelogram. Determine the length of BE.

Answers

Answer:

BE = 102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , so

DE = EB , that is

- 8x + 14 = 3 - 9x (add 9x to both sides )

x + 14 = 3 ( subtract 14 from both sides )

x = - 11

Then

BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units

Answer:

A

Step-by-step explanation:I've took the test

-6
Which graph represents function g if g(x)= f(2x)

Answers

Answer:

2

Step-by-step explanation:

Jessica made $156 for 12 hours of work.
At the same rate, how much would she make for hours of work?

Answers

Answer:

156/12=13

so makes 13 dollars a hour

Hope This Helps!!!

Desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente. La hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s. ¿A qué distancia del punto A se encontrarán y en cuánto tiempo? Traza una recta que represente el desplazamiento de cada una de las hormigas.

Answers

Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:

10 x 15 = 1506 x 15 = 90150 + 90 = 240

Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Aprende más en https://brainly.com/question/18500585

What is the value of x?​

Answers

again, we're assuming that both triangles are similar, and thus using proportions.

[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

What is the area of this figure ?

Answers

Answer:

172 in

Step-by-step explanation:

Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
[A] The quantity in Column A is greater. [B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.

Answers

The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

The equations are given as:

[tex]2y = 3x - 4[/tex]

[tex]4x - 2y=4[/tex]

Make y the subject in both equations

First equation

[tex]2y = 3x - 4[/tex]

[tex]y = \frac 32x - 2[/tex]

Second equation

[tex]4x - 2y=4[/tex]

[tex]y = 2x - 2[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where b represents the y-intercept

So: By comparison,

[tex]b_1 = 2[/tex] --- the y-intercept of the first equation

[tex]b_2 = 2[/tex] --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

Read more about y-intercepts at:

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If one length of a board is 1 1/3 feet long, how many lengths of board is needed to cover 12 feet?

Answers

Answer:

9

Step-by-step explanation:

12÷1 [tex]\frac{1}{3}[/tex]=9


The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.

Answers

Answer: 22.5 kg

Step-by-step explanation:

You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.

The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run.

Answers

Answer:

Length x width= answer

so 15 x 8 = 120

Step-by-step explanation:

In the year 2016, the population of the U.K. was about
20.3% of the U.S. population. In 2016, the U.S.
population was about 323.4 million. What was the
approximate population of the U.K. in 2016?
15.9 million
627.7 million
303.1 million
65.7 million

Answers

Step-by-step explanation:

65 million. of was 15 million it would be lower percentage and the other two are too high for 20 percent

PLS HELP ME WITH THIS (4 x 1) + (4 x 3)

Answers

Answer:

16

Step-by-step explanation:

4x1 is 4

4x3 is 12

4+12 is 16

Answer:

16

Step-by-step explanation:

There are 4 dogs allowed at the park when there are 6 people. How many dogs are
there when there are 9 people?

Answers

Answer:

7

Step-by-step explanation:

since there are 4 dogs for every 6 people,

if we add 3 people, there will be 9 people and 7 dogs.

Mrs Boswell is ordering cookies from a bakery for her daughter’s eighth grade graduation party she uses a table to figure out how many cookies to order

Answers

Answer:

I'm pretty sure the answer is B, I hope this helps!

A herd of 4 horses has 1 white and some black horses. What is the ratio of while to black
horses?

Answers

Answer:

4:1

Step-by-step explanation:

if we assume there are only two types of horses it would be 4 black horses per 1 white


Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5

Answers

Answer:77°

Step-by-step explanation:

Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.

[tex]F=\frac{9}{5}C+32[/tex]

[tex]F=\frac{9}{5}25+32[/tex]

[tex]F=45+32[/tex]

[tex]F=77[/tex]

The answer is 77°

Write all the terms of the following X+y+z​

Answers

Answer:

xyz

Step-by-step explanation:

The terms are the addends in the sum:

  x, y, z

Much help needed thanks!

Answers

The correct answer is D comment if you need me to show the work/ explain

10(11a) what is the answer need help ASAP

Answers

[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]

Answer:

110a

Hope you could get an idea from here.

Doubt clarification - use comment section.

Ok done. Thank to me :>

Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x

Answers

Answer: Choice B

Explanation:

The general template of a sine function is

y = Asin(B(x-C))+D

The value of B is the only thing that determines the period T. We ignore every other term.

It turns out that T = 2pi/B which can be solved to B = 2pi/T

Plug in the given period of T = 8pi and compute to get

B = 2pi/T

B = (2pi)/(8pi)

B = 2/8

B = 1/4

This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

Answer:

144

Step-by-step explanation:

Mark as Brainliest Answer

Only Number 17!!!!!

Thank You!!

Answers

Ok done. Thank to me :>

Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...

Answers

30, 36, 42

Hope this helped :)

Mark each equation with the number that makes it true!

Answers

Answer:

Check step-by-step

Step-by-step explanation:

18 + s = 33 = (15)

27 = 9 • s = (3)

40 - s = 23 = (17)

5 • m = 35 = (7)

18/s = 3 = (6)

m/5 = 10 = (50)

m + 14 = 18 - m= (2)

m + m + 12 = 22 (5)

n + 7 = 18 (11)

n - 9 = 22 (31)

Have A good day! Let me know if this helps!

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3

6*6= 36
3*3*3*3= 81
2*2*2*2*2= 32
5*5*5= 125
So the answer would be-
2^5,6^2,3^4,5^3

Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.



Answers

Assuming you mean it is currently at 20% if it’s total weight, the answer is 45 lb

This is because 20% goes into 100% 5 times so you would multiply 9 by 5 to get 100% of the dog’s weight

[-4,6)
Write the interval as an inequality.

Answers

Answer:

4<×<6

Step-by-step explanation:

interval as an inequality

can someone pleasw helppppppp meee

Answers

It would be 2,5, and 6. The mode means the number that is repeating the most. Since 2, 5, and 6 all appear 3 times, that is the mode

Answer:

D. Modes are 2, 5, and 6

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..

Find the equation in standard form of the line passing through the points (6, 3) and (1,5)

Answers

Answer:

2x+5y=27

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(1-6)

m=2/-5

m=-2/5

y-y1=m(x-x1)

y-3=-2/5(x-6)

y-3=-2/5x+12/5

y=-2/5x+12/5+3

y=-2/5x+12/5+15/5

y=-2/5x+27/5

y-(-2/5x)=27/5

y+2/5x=27/5

5(y+2/5x)=5(27/5)

5y+2x=27

2x+5y=27

Pleaseeeeeeeeeee help me

Answers

Answer:

[tex]\huge\boxed{6x-7y=21}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept (0, b)

We have:

[tex]y=\dfrac{2}{3}x-3\to m=\dfrac{2}{3};\ b=-3[/tex]

From answers:

[tex]6x-7y=21\qquad|-6x\\\\-7y=-6x+21\qquad|:(-7)\\\\y=\dfrac{6}{7}x-3\to m=\dfrac{6}{7};\ \boxed{b=-3}[/tex]

[tex]-\dfrac{2}{3}x+3y=6\qquad|+\dfrac{2}{3}x\\\\3y=\dfrac{2}{3}x+6\qquad|:3\\\\y=\dfrac{2}{9}x+2\to m=\dfrac{2}{9};\ b=2[/tex]

[tex]\dfrac{2}{3}x+3y=-3\qquad|-\dfrac{2}{3}x\\\\3y=-\dfrac{2}{3}x-3\qquad|:3\\\\y=-\dfrac{2}{9}x-1\to m=-\dfrac{2}{9};\ b=-1[/tex]

[tex]x+4y=12\qquad|-x\\\\4y=-x+12\qquad|:4\\\\y=-\dfrac{1}{4}x+3\to m=-\dfrac{1}{4};\ b=3[/tex]

Answer:

6x-7y=21

Step-by-step explanation: :)

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