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
Answers
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
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Related Questions
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
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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!!!
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
[-4,6)
Write the interval as an inequality.
Answers
Answer:
4<×<6
Step-by-step explanation:
interval as an inequality
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.
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
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.
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
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
This is because 20% goes into 100% 5 times so you would multiply 9 by 5 to get 100% of the dog’s weight
Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...
Answers
Hope this helped :)
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
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.
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:
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:
144
Step-by-step explanation:
Mark as Brainliest Answer
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°
-6
Which graph represents function g if g(x)= f(2x)
Answers
Answer:
2
Step-by-step explanation:
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.
Much help needed thanks!
Answers
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 = 240Por 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 area of this figure ?
Answers
Answer:
172 in
Step-by-step explanation:
Write all the terms of the following X+y+z
Answers
Answer:
xyzStep-by-step explanation:
The terms are the addends in the sum:
x, y, z
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
can someone pleasw helppppppp meee
Answers
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..
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!
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
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: :)
Only Number 17!!!!!
Thank You!!
Answers
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:
Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x
Answers
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.