Answers
Given:
[tex]\Delta BAC\sim \Delta DEC[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\Delta BAC\sim \Delta DEC[/tex]
The corresponding parts of similar triangles are proportional.
[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]
On substituting the values, we get
[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]
[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]
[tex]3(3x+5)=2x(7)[/tex]
[tex]9x+15=14x[/tex]
Subtract [tex]9x[/tex] from both sides.
[tex]15=14x-9x[/tex]
[tex]15=5x[/tex]
[tex]\dfrac{15}{5}=x[/tex]
[tex]3=x[/tex]
Therefore, the value of x is 3 units.
Related Questions
Which expression is equivalent to 8 p − 3 n + 4 q − 9 m ? 0 0 5 p n − 5 q m 5 p n minus 5 q m 4 ( 2 p + q ) − 3 ( n + 3 m ) 4 times open paren 2 p plus q close paren minus 3 times open paren n plus 3 m close paren 4 ( 2 p + q ) − 3 ( n − 3 m ) 4 times open paren 2 p plus q close paren minus 3 times open paren n minus 3 m close paren
Answers
Answer:
[tex]8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m][/tex]
Step-by-step explanation:
Given
[tex]8p - 3n + 4q -9m[/tex]
Required
The equivalent expression
[tex]8p - 3n + 4q -9m[/tex]
Rewrite:
[tex]8p - 3n + 4q -9m = 8p + 4q- 3n -9m[/tex]
Group to 2
[tex]8p - 3n + 4q -9m = [8p + 4q]- [3n +9m][/tex]
Factorize each group
[tex]8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m][/tex]
Solved
expand (2x^2y)^3 please helpppp
Answers
Answer:
answer is 2^3 x^6 Y^3 Hope this helps^_^
Step-by-step explanation:
plz give brainliest and rating
PLEASE ANSWER TODAY ASAP THIS IS ALREADY OVERDUE WILL GIVE BRAINLIEST.
The coordinates of point A are (6, 2).
The coordinates of point B are (2, 6).
AB¯¯¯¯¯is transformed to form A′B′¯¯¯¯¯¯¯, shown in the graph.
What is the transformation of AB¯¯¯¯¯ that results in A′B′¯¯¯¯¯¯¯?
Drag and drop the answers into the boxes to complete the sentence.
AB¯¯¯¯¯ is Response area Response area to form A′B′¯¯¯¯¯¯¯ .
A graph with a line between points A begin ordered pair -6, 2 end ordered pair and B begin ordered pair -2, 6 end ordered pair
Answers
Answer:
it is reflected across the Y axis
To make his house more energy-efficient, Ernest is putting solar film on the large trapezoid-shaped window in his living room. The window has an area of 25 square feet. The top of the window is 3 feet long, and the bottom is 7 feet long. Which equation can you use to find how tall the window is, h? 25=h(3+7) 25= 1 2 h(3+7) How tall is the window? Write your answer as a whole number or decimal. Do not round.
Answers
Answer:
25 = 1/2(3 + 7)h
5 feets
Step-by-step explanation:
Given that:
Window shaped in the form of a trapezium :
The length of its bases :
Top of window base = 3 feets
Bottom of window base = 7 feets long
Area of Windom = 25 feets²
Recall :
Area of a trapezium is given by :
Area, A = 1/2(a + b)h
a and b are the bases
h = height
Inputting the Given values into the equation :
25 = 1/2(3 + 7)h
Hence, the height of the window can be Obtian using the expression
25 = 1/2(3 + 7)h
25 = 1/2(10)h
25 = 5h
h = 25 /5
h = 5 feets
2 + 2
For fun and points
Answers
Answer:
4
thank youuuu
Step-by-step explanation:
have a good day
Write an equation of the perpendicular bisector of the segment with endpoints M(-3,4) and N(9,8).
Answers
Answer:
y= -3+15please mark in brain listFIRST TO ANSWER CORRECTLY GETS BRAINLEIST PLEASE ! :) points rewarded !
Answers
Jeremy is participating in a school fundraiser selling
books and magazines. He sells two fewer magazines
than one-half the number of books he sells. He sells a
total of 16 books and magazines in all. Solve a system
of equations graphically to find the number of books
Jeremy sold.
A) sold 12 books
B) sold 4 books
C) sold 2 books
D) sold 14 books
Answers
Answer:
A
Step-by-step explanation:
12/2 = 6 , 6-2=4 . 12+4 =16
What is the horizontal asymptote of the function f (x) = StartFraction (x minus 2) Over (x minus 3) squared EndFraction?
y = 0
y = 1
y = 2
y = 3
Answers
Answer:
y = 3
Step-by-step explanation:
Here, we want to get the horizontal asymptote
To get this, we have to equate the denominator to 0 and solve for x
Mathematically, we have this as;
x-3 = 0
x = 3
so the horizontal asymptote will be y = 3
Answer:
Its A) y=0
Step-by-step explanation:
18 multiplied by 2/3
Answers
Answer:
12
Step-by-step explanation:
18 x 2/3 = 36/3 = 12
2/3 of 18
2/3×18
2×6
12
hope this helps:)
Which graph represents y as a function of x
Answers
Answer:
there is no gragh
Step-by-step explanation:
Apr 17, 1:42:09 AM
Solve the system of equations x +y = 4 and 3x + 7y = 32 by combining the
equations.
Answers
Answer:
(-1, 5)
Step-by-step explanation:
3 [x + y = 4]
3x + 3y = 12
- 3x + 7y = 32
-4y = -20
y = 5
x + 5 = 4
x = -1
HELP ME PLEASE I'll give brainliest
Answers
Answer:
angle bcf = 113 degrees :)
Step-by-step explanation:
angle bca and angle dcf equal 134 in total
360-134= 226
226/2=113
Answer:
113
Step-by-step explanation:
Remark
<BCA and <BCF are on the same straight line. That means when added, they equal 180 degrees.
Givens
<BCA = 67
Two Parallel lines
1 Transversal
Solution
<BCA + < BCF = 180
67 + <BCF = 180
<BCF = 180 - 67
<BCF = 113
A rectangle is 4 miles longer than it is
wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.
Answers
Answer:
1283 miklis
Step-by-step explanation:
Answer:
The lenght is 17 milesThe wide is 13 milesLet / l : the lenght of the rectangle
w : the wide of the rectangle
Step-by-step explanation:
[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]
I hope that is useful for you
i cant tell if i did this wrong
Answers
Answer:
d = 2*5 = 10
Step-by-step explanation:
Pls help! question is on picture, will mark brainlyest if its right
Answers
Answer:
60 /120 im not 100% sorry
Step-by-step explanation:
Answer:
61.9 degress or about 62 degress
Step-by-step explanation:
the fraction of sin at theta is 15/17 so put that into a graphing calculator with the inverse sin 15/17
I will give you BRAINLIEST for the correct answer
Answers
Answer:
the answer would be B or C
Step-by-step explanatiohn:
i need this done pls
Answers
Answer:
k
Step-by-step explanation:
1. Name the ray in the figure
Answers
Answer:
The correct answer is option c.
Step-by-step explanation:
Have a nice Day!
and can I maybe have brainliest? Thanks!
Uma loja de brinquedos tem uma vitrine com várias prateleiras contendo 21 bonecas, 18 carrinhos de brinquedo e 15 bonecos de ação. Cada prateleira tem 18 brinquedos e todas as prateleiras são usadas
Answers
Responder:
3
Explicação passo a passo:
Dado :
Total de brinquedos:
Bonecas = 21
Carros Roy = 18
Figuras de ação = 15
Número total de brinquedos = (21 + 18 + 15) = 54 brinquedos
Número de brinquedos por prateleira = 18
Número de prateleiras:
Número total de brinquedos / número de brinquedos por prateleira
Número de prateleiras = 54/18
Número de prateleiras = 3
3 prateleiras estão na vitrine
9, 23, 37, 51, _____, 79, 93)
Answers
Answer:
65
plz give brainliest
Answer:
65
Step-by-step explanation:
add 14 to 51
adding 14 is the pattern
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − x − 5? (4 points)
a
No Solution
b
One
c
Two
d
Infinitely many
Answers
Answer:
The correct option is b.
Step-by-step explanation:
To find the number of solutions, we need to solve the equation:
[tex] 5x + 3(x - 1) = 10x - x - 5 [/tex]
Let's group all the "x" on the equation.
[tex] 5x + 3x - 10x + x = 3 - 5 [/tex]
Now, let's solve for "x".
[tex] -x = -2 [/tex]
[tex] x = 2 [/tex]
Therefore, the equation has one solution. The correct option is b.
I hope it helps you!
Liam measures 5 kg of rice. One kilogram is approximately equal to 2.2 pounds. Which measurement is closest to the number of pounds of rice?
2.5 pounds
7 pounds
11 pounds
14 2 pounds
Answers
11 pounds
Step by step:
5x2.2=11
Answer:
11
Step-by-step explanation:
To convert kg to pounds you would multiply 5×2.205 which would equal 11.02500. If we round it would be 11
verify 3/4 + (7/2 + -3/8) = 3/4 + 7/2 + (-3/8)
Answers
Answer:
when opening the bracket remember that the value outside the bracket will be used to multiply the value inside the bracket
what is the quadratic regression equation that fits these data?
Answers
Answer: y = –0.89x^2 + 3.24x + 11.93
Step-by-step explanation:
To the nearest degree, what is m A
Answers
Answer:
53°
Step-by-step explanation:
With reference angle A
perpendicular (p) = 9.6
base (b) = 7.2
Now
tan A = p / b
tan A = 9.6 / 7.2
A = tan^ - 1 ( 9.6 / 7.2)
A = 53°
Hope it will help :)❤
gabriellas book has 348 pages she has read 163 of the pages. sofia's book has 562 pages, she has read 225 of the pages . who has read more
Answers
Gabi, but I’m not 100% sure.
Explanation:
Gabi - 163/348 > 0.468 > 46.8%
Sofia - 225/562 > 0.400 > 40%
Gabriella:
163/348= .4683...= 46%
Sophia:
225/562= .4003...= 40%
Therefore, Gabriella has read more pages than Sophia.
Scavenger Hunt
heard F. Use your answer to card F. to find the next
A
12 - x - 2x = -12
Answers
Answer:
Hi! The answer to your question is [tex]x = 8[/tex]!
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
Every ten years, the Census counts how many people are living in every town in
the United States.
The 2010 Census showed that 1,000 people were living in Appleville,
and 4,000 people were living in Bridgetown.
The population of Appleville is predicted to double every ten years.
The population of Bridgetown is predicted to increase by 1,000 every
ten years.
If the predictions come true, what will be the first census year that will show
Appleville with a larger population than Bridgetown?
Answers
Answer:
2040
Step-by-step explanation:
We know Appleville is predicted to double its population every 10 years, while Brigdetown simply adds 1000. Doing the math, the 2040 Census will be the first one where Appleville's population (8,000) will be larger than Bridgetown's (7,000).
Appleville: 1,000 * 2³ = 1,000 * 8 = 8,000 people in 2040
Bridgetown: 4,000 + 3(1,000) = 4,000 + 3,000 = 7,000 people in 2040
8,000 > 7,000, so 2040 will be first census year where Appleville is larger than Bridgetown. (I know this is extra, but if this was asking for first year overall, then it would be 2037. 6,800 > 6,600)
Answer:
2040
Step-by-step explanation:
i got it right
PLEASE HELP ILL GIVE BRAINLIEST PLEASE YOU WILL HELP ME SO MUCH PLEASE
Answers
Answer:
No
Step-by-step explanation:
She needs at least another 2 coordinate pairs to test if her evaluation is correct. For instance, the next pair could be (7,22). Then, the pattern wouldn't be increasing by 4. It would not have a constant of proportionality.