Answers
Answer: 18/7
This approximates to 2.5714
=====================================================
Explanation:
The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.
Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:
side AB corresponds to side AD. The letters from AB are the first two letters of ABC while AD are the first two letters from ADE.side BC corresponds to DE. We have BC as the last two letters of ABC and DE the last two letters of ADEAs those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.
From that, we can form the proportion below to solve for x
AB/AD = BC/DE
3/(3+4) = x/6
3/7 = x/6
3*6 = 7*x
18 = 7x
7x = 18
x = 18/7
You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.
Related Questions
In simplest form …..
Answers
Answer:
2[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{54} - \sqrt[3]{2}[/tex]
[tex]\sqrt[3]{2 * 3 * 3 * 3}[/tex] - [tex]\sqrt[3]{2}[/tex] Prime factorization.
[tex]3\sqrt[3]{2}[/tex] - [tex]\sqrt[3]{2}[/tex] Simplify the radical.
2[tex]\sqrt[3]{2}[/tex] Subtract.
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa
Answers
Usando proporciones, se encuentra que 400 africanos han participado.
En total, hay x participantes.
[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:
[tex]E = \frac{5x}{6}[/tex]
Los americanos son la dècime parte de los europeos, o sea:
[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]
Los africanos son la quinta parte de los americanos, o sea:
[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]
En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:
[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.
Step-by-step explanation:
Plzzz help me.please reply fast
Answers
Answer:
x=458
Step-by-step explanation:
1729-810=919
919-790=129
810-129=681
681-112=569
112-1=111
569-111= 458 (which is the answer)
Answer:
I get 458, but please check the calculations.
Step-by-step explanation:
See attachment. I worked down the pyramid until I has enough information to calculate x. For example, 919 had to be the difference of (1729 - 810) for a sum of 1729. 129 had to be the difference of (919-790). 681 is the difference of (810 - 129). And so on . . .
Please help me no links or bots please and thank you please actually help me with this please
Answers
Answer:
[tex]y=-1 \frac{2}{3}x+5[/tex]
Step-by-step explanation:
y=mx+b is slope-intercept form
m= slope
b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).
The photo you have attached is very blurry but i will do my best to read the numbers on the graph.
the y-intercept looks to be at 5
so we plug that in
y=mx+5
now let's get the slope.
pick two points you can easily see,
slope is change in y over the change in x --- which is simplified below
rise over run
y2-y1 divided by x2-x1
we can see the point (0,5) and the point (3,0)
(3,0) is going to be the x2 and y2 and the other point is the x and y 1s
0-5= -5
3-0= 3
-5/3
let's simplify that
we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.
-1 2/3
that is our slope
let's plug it in:
[tex]y=-1 \frac{2}{3}x+5[/tex]
that is our answer!
A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times as long
the banner and the poster have perimeters 24 inches. What are the lengths and of widths of the poster and the banner?
Answers
Rectangular Poster:
Length = 9
Width = 3
Rectangular Banner:
Length = 10
Width = 2
Hope this is helpful!
The area of the triangle below is 5/12 square feet. What is the length of the base. Express you answer as a fraction.
Answers
Answer:
5/3 ft
Step-by-step explanation:
you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.
hope the made sense.
Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?
Answers
As your figure is a square all sides must be the same so it would be 6 squared which comes out to 36
Answer:
scroll
Step-by-step explanation:
√36 = 6
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
√72 = c
6√2 = c
6√2 = V
(Estimate rounded = 8.49)
if 6 24 36 are in proportion,find the second proportional.
Answers
9
Step-by-step explanation:
let 2nd proportion be x
6:x=24:36
6÷x=24÷36
x=6×36÷24
x=9
How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches Explain how you got there.
Answers
Answer:
24 screeches = 20 meows.
Step-by-step explanation:
Calculate purrs:
12/3 = 4
4*2= 8
Use purrs to calculate screeches:
Set up a proportion: [tex]\frac{8}{x} = \frac{40}{120}[/tex]Solve proportion by cross-multiplying8*120 = 960960/40 = 24 screechesIf triangles ADE and ABC shown in the
figure to the right are similar, what is the
value of x?
Answers
x=4
Step-by-step explanation:
similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.
and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.
12 × 1/3 = 4.
so, A is correct.
6. Find the value of y.
5
16
Answers
or 3.6
hopefully this helps you!
Find the square of (a+b+c)
Answers
Answer:
a^2 + b^2 + c^2 +2ab + 2ac + 2bc
1.0835 rounded to the nearest tenth
Answers
Answer:
1.1
Step-by-step explanation:
Answer:
1.1
Step-by-step explanation:
HOME WORK DUE SOON PLZ HELP!!!!!
what is the slope of this graph?
Answers
Answer
16
Step-by-step explanation:
slope go up 16 every time
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answers
Answer:
40
Step-by-step explanation:
Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.
Answers
1. The value of the bond with a market interest rate of 8% is $1,159.71.
2. The value of the bond with a market interest rate of 15% is $899.44.
3. The new value of the bond after 2 years with market interest rate of 8% is $1,103.08.
4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.
Data and Calculations:
N (# of periods) = 5 years
I/Y (Interest per year) = (A) 8% or (B) 15%
PMT (Periodic Payment) = $120
FV (Future Value) = $1,000
Results
PV = $1,159.71 and $899.44 for (B)
Schedule at 8% interest rate
Period PV PMT Interest FV
1 $1,159.71 $120.00 $92.78 $1,132.49
2 $1,132.49 $120.00 $90.60 $1,103.08
3 $1,103.08 $120.00 $88.25 $1,071.33
4 $1,071.33 $120.00 $85.71 $1,037.04
5 $1,037.04 $120.00 $82.96 $1,000.00
Schedule at 15% interest rate
Period PV PMT Interest FV
1 $899.44 $120.00 $134.92 $914.35
2 $914.35 $120.00 $137.15 $931.50
3 $931.50 $120.00 $139.73 $951.23
4 $951.23 $120.00 $142.68 $973.91
5 $973.91 $120.00 $146.09 $1,000.00
Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123
5.37 + x =12.89 explanation please it’s two step equation
Answers
Answer:
7.52
Step-by-step explanation:
5.37 + x = 12.89
In order to solve this equation, we must isolate the variable, x.
1.) To do this, subtract 5.37 on both sides of the equation.
5.37 + x = 12.89
-5.37 -5.37
x = 7.52
Therefore, x = 7.52
Answer:
Answers of given questions are written below :
1) x = 7.522) x = 113) x = 2.5Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}[/tex]
5.37 + x = 12.89
[tex] \implies{\tt{5.37 + x = 12.89}}[/tex]
[tex] \implies{\tt{ x = 12.89 - 5.37}}[/tex]
[tex] \implies{\tt{ x = 7.52}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}[/tex]
Hence, the value of x is 7.52
[tex]\begin{gathered}\end{gathered}[/tex]
42 = 6x - 24
[tex] \longmapsto{\sf{42 = 6x - 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 42 + 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 66}}[/tex]
[tex] \longmapsto{\sf{x = \dfrac{66}{3}}}[/tex]
[tex] \longmapsto{\sf{x = 11}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 11}}}}}[/tex]
Hence, the value of x is 11.
[tex]\begin{gathered}\end{gathered}[/tex]
10x + 25 = 50
[tex]{\longrightarrow{\rm{10x + 25 = 50}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 50 - 25}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 25}}}[/tex]
[tex]{\longrightarrow{\rm{x= \dfrac{25}{10}}}}[/tex]
[tex]{\longrightarrow{\rm{x=2.5}}}[/tex]
Hence, the value of x is 2.5.
[tex]\rule{300}{2.5}[/tex]
What is the probability for a bowler to score over 136? The mean for the set is 130, and the standard deviation is 3. So I know that it is Mean + 2(Standard Deviation), so is it 2.35% or 2.5%?
Answers
Answer:
135%
Step-by-step explanation:
A pump moves 360 gallons in 1 hour. How many gallons can be moved in 1 minute?
Answers
Explanation: there is 60 mins in an hour so divide 360 by 60 and you will receive the answer of 6 gallons per min
A palm tree is 30 feet tall and casts a 48 foot shadow. The woman standing next to the palm tree casts a shadow similar to that of the palm tree. How tall is the woman if she casts an 8 foot shadow?
Answers
Answer:
48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah
Step-by-step explanation:
Help me out please!!!!!!
Answers
Step-by-step explanation:
y = 2x + 9
y = -x - 3
there are multiple ways to solve this.
let's follow the approach that both x-expressions must be equal :
2x +9 = -x - 3
3x = -12
x = -4
y = -x - 3 = 4 - 3 = 1
Write an equation for a line that passes through (2,5)
and (6, 7).
Answers
Answer:
y=2x-9
Step-by-step explanation:
ANSWER ASAP WILL MARK BRAINLIEST
Answers
Answer:
how many
Step-by-step explanation:
HELP GIVING BRAINLIEST!
Answers
Answer:
C
Step-by-step explanation:
Answer:
y = 1/4x
Step-by-step explanation:
1/2(10p-7q) if p=9 and q=2
Answers
Answer:
38
Step-by-step explanation:
1/2(10p-7q)
1/2(10(9)-7(2))
1/2(90-14)
1/2(76)
76/2
38
Which of the following is best used to measure the amount of time that has passed in your lifetime?
(A)minutes
(B)seconds
(C)days
(D)years
Answers
A)14.3
B)11
C)7.4
Plz help
Answers
Answer:
c
Step-by-step explanation:
A. Joshua puts $8,765 in a
10-year 5.28% savings
certificate in which interest is
compounded quarterly. How
much total interest has he
earned at the end of the ...
a) second year?
b) fourth year?
c) seventh year?
d) tenth year?
Answers
The amount at the end of the second year is $9,734.49.
The amount at the end of the fourth year is $10,811.22.
The amount at the end of the seventh year is $12,653.68.
The amount at the end of the tenth year is $14,810.14.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $8765
r = 5.28%
n = 4 (quarterly)
Amount after 2 years.
A = 8765 [tex](1 + 0.0131)^2[/tex]
A = $9,734.49
Amount after 4 years.
A = 8765 [tex](1 + 0.0131)^4[/tex]
A = $10,811.22
Amount after 7 years.
A = 8765 [tex](1 + 0.0131)^7[/tex]
A = $12,653.68
Amount after 10 years.
A = 8765 [tex](1 + 0.0131)^{10}[/tex]
A = $14,810.14
Thus,
The amount at the end of the second, fourth, seventh, and tenth year is given above.
Learn more about compound interest here:
https://brainly.com/question/13155407
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In a class of 50 students, 28 are boys and the rest are girls. The ratio of boys to girls in its simplest form is
Answers
Please helppp!!
I have to find the slope of the blue line that is in the graph!!