Which condition would prove ΔDEF ∼ ΔJKL?

Answer:

69 estudiantes.

Step-by-step explanation:

Sabemos que el número total de estudiantes en primer grado es 184.

También sabemos que la relación entre los que usan anteojos y los que no es 3/5.

Esta relación es igual al cociente entre el número de estudiantes que usan anteojos y el número de estudiantes que no usan anteojos.

Si definimos las variables:

A = número de estudiantes que usa anteojos

B = número de estudiantes que no usa anteojos.

Tenemos la relación:

A/B = 3/5

podemos reescribir como:

A = (3/5)*B

Y también sabemos que el número total de estudiantes es 184, entonces tendríamos que:

A + B = 184.

Podemos aislar B en esta segunda ecuación para luego reemplazarlo en la primera.

Aislando B obtenemos:

B = 184 - A

Si reemplazamos esto en la otra ecuación obtenemos:

A = (3/5)*B

A = (3/5)*(184 - A)

Ahora podemos resolver esto para A.

A = (3/5)*184 - (3/5)*A

A + (3/5)*A = (3/5)*184

A*(1 + 3/5) = (3/5)*184

A*(5/5 + 3/5) = (3/5)*184

A*(8/5) = (3/5)*184

A = (5/8)*(3/5)*184

A = 69

Podemos concluir que 69 estudiantes usan anteojos.

Answer:

The percentage increase in [tex]T[/tex] is 20 %.

Step-by-step explanation:

Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:

Initial value

[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)

Final value

[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]

[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)

(1) in (2):

[tex]T_{ii} = 1.2\cdot T_{i}[/tex]

And the percentage increase in T is:

[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)

[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]

[tex]\%T = 20\,\%[/tex]

The percentage increase in [tex]T[/tex] is 20 %.

Answer:

Step-by-step explanation:

Lets subsitute k, x and y as  100 to make it easier for us

So k = 100, x = 100, y = 100

Step 1 :-   T = kx/y

- T = 100 * 100 / 100 = 100

Step 2 :- Increase by 20% = 100 * 20% = 20,    100 + 20 = 120

Step 3 :- Percentage Increase = Increased value OVER original calue          MULTIPLIED by 100%

SO = ( 120 - 100 ) ,,,,   20/100 * 100% = 0.2* 100 = 20%

Answer:

3 1/4 + 4 2/5 + 6 1/2 = 14.15 hours

Step-by-step explanation:

Answer:

18 pizzas

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{15}{1000} \times 100=1.5[/tex]

Answer:

Can I see a picture?

Step-by-step explanation:

9514 1404 393

Answer:

  D  120

Step-by-step explanation:

We are given the relation ...

  48 = 0.40 × sales

Dividing by 0.40 gives the sales for the day.

  sales = 48/0.40 = 120

120 milkshakes were sold that day.

The probability that a student has a dog given they do not have a cat is 0.1333.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Total number of students = 30

[tex]n(s)=30[/tex]

Number of students have cat = 16

Number of students have dog = 15

Number of students have a cat and a dog = 11

The event is the probability that a student has a dog given they do not have a cat,

[tex]n(e)=15-11[/tex]

⇒ [tex]4[/tex]

Thus the probability that a student has a dog given they do not have a cat is

⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)=\frac{4}{30}[/tex]

⇒ [tex]P(e)=0.1333[/tex]

Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.

Learn more about probability here

https://brainly.com/question/16484393

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Answer:

4 5/12 feet tall

Step-by-step explanation:

All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.

Answer:

Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)

Step-by-step explanation:

Leon older brother is 19/4 feet tall or 57/12.

Leon is 1/3 or 4/12 foot shorter than his brother.

57/12-4/12= 53/12

Answer:

36 cm squared is the anwer

Answer:

96cm²

Step-by-step explanation:

you must find the surface area of each side then add it all up

The net that can be folded to form a triangular pyramid is net b

From the question, we have the following parameters that can be used in our computation:

The nets in the list of options

As a general rule, a triangular pyramid has 4 triangles such that

Three triangles are adjacent and one triangle is at the top or at the bottom

using the above as a guide, we have the following:

The net that can be folded to form a triangular pyramid is net b

Read more about triangular pyramid at

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Answer:

$3.25

Step-by-step explanation:

Given that:

Mean, λ = 1.4

Strike within next minute = $3 won

Strike between one and 2 minutes = $5

Strike more than 2 minutes = $1

Probability that next strike occurs within the next minute :

Using poisson :

P(x < 1) = 1 - e^-(λx) ;

P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4

P(x < 1) = 1 - 0.2465969

P(x < 1) = 0.7534030

Next strike occurs between 1 and 2 minutes :

(1 < x < 2) :

P(x < 2) - P(x < 1)

P(x < 2) = 1 - e^-(λx) ;

P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8

P(x < 2) = 1 - 0.0608100

P(x < 2) = 0.9391899

P(x < 2) - P(x < 1)

0.9391899 - 0.7534030 = 0.1857869

P(striking after 2 minutes)

P(x > 2) = e^-(λx) ;

P(x > 2) = e^-(1.4*2) = e^-2.8

P(x > 2) = 0.0608100

Amount charged :

(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)

= 3.2499

= $3.25

Answer: 5X+15

The first one is

The second one is 2(7X+8)

Answer:

On the dive boat deck

Step-by-step explanation:

This is above the water level and water level is considered to be 0

pls love me <3

Answer:

450fish estimate

Step-by-step explanation:

Answer:

4 sq un

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

this is the answer. have a great day.

Answer:

width equals 16

length = 20

Step-by-step explanation:

Hello there!

we know that the perimeter is 72 m

and the width is 4 m less then the length

perimeter is 2w+2l

w=width and l = length

72 + (2x-4) = 72+8 = 80

80 / 4 (because there are 4 values, w, w, l, l ) = 20

so now...

20 - 4 = w

16 = w

and 20 = l

16+16 = 32

20+20 = 40

32+40 = 72

Answer:

a. True, b. y = (-1/2)x + 8

Step-by-step explanation:

Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.

Answer:

1) not proportional - not starting from origin

2) (2,8) - i did it in coordinates

have a great day

Answer:

uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math

Step-by-step explanation:

9514 1404 393

Answer:

  (676 -169π) ft²

Step-by-step explanation:

The area of the square is ...

  A = s² = (26 ft)² = 676 ft²

The area of the circle is ...

  A = πr² = π(13 ft)² = 169π ft²

Then the shaded area is ...

  (676 -169π) ft²

Answer:

y=9

Step-by-step explanation:

Answer:

1. 336

2. 9

3. 14

Step-by-step explanation:

He wraps 42 gifts/3hours

24 hours is 8 "3 hours"

42 hours per 3 gifts * 8 "3 hours" = 336 gifts

126 gifts is 3 "42 gifts"

3 hours per 42 gifts * 3 "42 gifts" = 9 hours

He wraps 42 gifts/3hours

divide these values by 3 and you get  14 gifts/one hour

14 gifts every one hour

Answer:

583

Step-by-step explanation:

Answer:

I think it's 1.5 I'm not sure ._.

Answer:

1/3

Step-by-step explanation:

Total students = 36

No of boys = 24

No of girls = 36 - 24 = 12

Probability of selecting a girl = 12/36 = 1/3

Answer:

10.224 < μ < 12.622 ;

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of Error

margin of error = Zcritical * standard deviation /sqrt(n)

n = sample size

From the data:

12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63

From the data:

Using calculator :

Mean, = 11.423

Standard deviation, s = 1.934

Zcritical at 95% confidence interval = 1.96

Sample size, n = 10

Margin of Error = 1.96* 1.934/sqrt(10) = 1.199

Lower boundary = 11.423 - 1.199 = 10.224

Upper boundary = 11.423 + 1.199 = 12.622

10.224 < μ < 12.622

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Answer:

Total cost of patio = $560

Step-by-step explanation:

Given:

Length of patio = 14 m

Width of patio = 8 m

Height of patio = 1 m

Cost of 1 m³ concrete = $5

Find:

Total cost of patio

Computation:

Volume of patio = l x b x h

Volume of patio = 14 x 8 x 1

Volume of patio = 112 m³

Total cost of patio = Volume of patio x $5

Total cost of patio = 112 x $5

Total cost of patio = $560