Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
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Answers

Answer 1

Answer: C D B

Step-by-step explanation:

JUST TOOK THE TEST ON ENDEGENUITYYYYY

Answer 2

The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

What are ratios?

Ratios are fractional values representing relations between two quantities.

What are proportions?

When two ratios are equal, they are said to be in proportion.

What is a scale factor?

The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.

How to solve the given question?

In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.

We analyze each statement:

Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.

∴ The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

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Related Questions

Please help asap need to be done now

Answers

Answer:

15.71 is the perimeter.

Step-by-step explanation:

Perimeter = Circumference

Step 1. Know and recognize what you have

C = pi*d

pi = 3.142

d = 10

Step 2. Solve for the circumference of whole circle

C = 3.142*10

C = 31.42

Step 3. Solve for the questions answer

C of semicircle = 31.42/2

C of semicircle = 15.71

Hope this helped,

Kavitha

The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?

Answers

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

What is 72% of 87.5?

Answers

The answer to your question is 63 :)

Suppose a student just found out that she scored a 75 on her first statistics​ exam, with a​ z-score of 0.5. Her​ friend, who is in a different section with the same​ professor, also scored a 75 but had a​ z-score of −0.5. What can you conclude about the mean exam scores in the two​ classes?

Answers

Answer:

The mean exam scores in the second section is greater than the mean exam scores in the first section

Step-by-step explanation:

Here, we are interested in making a conclusion.

Mathematically;

z-score = (score - mean)/SD

so basically, what determines the sign of the z-score is dependent entirely on the mean.

If the mean is larger than the score, we will have a negative z-score. If the mean is smaller than the score, then will have a positive z-score

So basically what drives the sign is the mean value since the scores are the same for both students in this case, irrespective of the standard deviation in both classes.

So, for the first girl with a positive z-score, we can conclude that her score is larger than the mean; while for the second girl with a negative z-score, her score is smaller to the mean.

Thus, what we conclude here is that the mean score of the second section with the professor is greater than the mean score of the first section with the professor.

a number times 10 is equal to 28

Answers

Answer:

2.8

Step-by-step explanation:

2.8*10=28

Also, when you multiply 2.8 by 10, you can just move the decimal to the right once, giving you 28.

Find the terminal point on the unit circle determined by pi radians.

Use exact values, not decimal approximations.

Answers

The terminal point on the unit circle determined by π radians is (-1, 0).

To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.

The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).

Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:

x = cos(π) = -1

y = sin(π) = 0

The terminal point on the unit circle determined by π radians is (-1, 0).

It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.

By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.

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Is 2^5 the same as 5^2? Yes or No?
Explain why please help me thank you!!

Answers

Answer:

No, they are not equivalent.

Step-by-step explanation:

2^5 means 2 to the 5th power, so we multiply it by itself 5 times.

2x2x2x2x2=32

Same as 5^2

5x5=25

32>25

There is your answer, no.

A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt

Answers

Answer: 0.08192

Step-by-step explanation:

Given: Probability of free throws = 0.80

Then, probability of missing the free throw = 1-0.80=0.20

Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-

[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]

Put p = 0.20 , x=5 and r =1, we get

The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]

[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]

hence the required probability =0.08192

Answer:0.08912

Step-by-step explanation:

What is the common ratio for the sequence 54, 18, 6, 2, ...? -1/3 -3 1/3 3

Answers

Answer:

first term (a) = 54

Second term (b) = 18

common ratio = b/a = 18/54 = 1/3

If 9 (x) = – 5x2 – 4x + 19 find f (–3)

Answers

Answer:

- 14

Step-by-step explanation:

[tex]f(x) = - 5 {x}^{2} - 4x + 19 \\ plug \: x = - 3 \\ f( - 3) = - 5 {( - 3)}^{2} - 4( - 3) + 19 \\ f( - 3) = - 5 \times 9 + 12 + 19 \\ f( - 3) = - 45 + 31 \\ f( - 3) = -14[/tex]

6x+3=38-x
help please

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]6x+3=38-x[/tex]

Subtract 3 from both sides:

[tex]6x+3-3=38-x-3[/tex]

[tex]6x=-x+35[/tex]

Add x to both sides:

[tex]6x+x=-x+35+x[/tex]

[tex]7x=35[/tex]

Divide 7 on both sides:

[tex]\frac{7x}{7}=\frac{35}{7}[/tex]

[tex]x=5[/tex]

c=2×3.14r to find the circumference of a circle with a radius of 5 meters​

Answers

Answer:

C≈31.42

r Radius 5

60 + 8x + 8x + ( 12x - 1) + (2x + 1)
= 540
Find the value of x.

Answers

Answer:

x=16

Step-by-step explanation:

I hope this helps you

How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass

Answers

Answer:

1) mass divided by volume

Step-by-step explanation:

Answer:

1. Mass Divided By Volume

Step-by-step explanation:

D = M / V

Density is equal to mass. (In any form such as: grams, pounds or another unit)

the opposite of g(x) is -9(x),
then -g(x) =

Answers

If the opposite of g(x) is -g(x), then -g(x) is equal to -9(x)

1/2x=14
Help please I’ve been stuck on this how do I check it?

Answers

Divided both sides by 1/2
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28

what is x6y6z2 please asap

Answers

Dear student,

I request you to make you question more clear.

thank you,

________ ___________________________________

what is 23.67 times 2.03​

Answers

23.67 X 2.03 = 48.0501

Hope this helps! :)

Answer:

48.0501

Step-by-step explanation:

Una lancha que viaja a 10 m/s pasa por debajo de un puente 3 segundos después que ha pasado un bote que viaja a 7 m/s, ¿después de cuántos metros la lancha alcanzará al bote?

Answers

Answer:

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

Step-by-step explanation:

Sea el punto debajo del puente el punto de referencia y que ambas lanchas se desplazan a velocidad a continuación, las ecuaciones cinemáticas para cada embarcación son presentadas a continuación:

Bote a 7 metros por segundo

[tex]x_{A} = x_{o}+v_{A}\cdot t[/tex] (Ec. 1)

Lancha a 10 metros por segundo

[tex]x_{B} = x_{o}+v_{B}\cdot (t-3\,s)[/tex] (Ec. 2)

Donde:

[tex]x_{o}[/tex] - Posición debajo del puente, medido en metros.

[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posición final de cada embarcación, medido en metros.

[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocidad de cada embarcación, medida en metros por segundo.

[tex]t[/tex] - Tiempo, medido en segundos.

Para determinar la posición en la que ambas embarcaciones se encuentran, se debe determinar el instante en que ocurre a partir de la siguiente condición: [tex]x_{A} = x_{B}[/tex]

Igualando (Ec. 1) y (Ec. 2) se tiene que:

[tex]v_{A}\cdot t = v_{B}\cdot (t-3\,s)[/tex]

Ahora despejamos el tiempo:

[tex]3\cdot v_{B} = (v_{B}-v_{A})\cdot t[/tex]

[tex]t = \frac{3\cdot v_{B}}{v_{B}-v_{A}}[/tex]

Si sabemos que [tex]v_{B} = 10\,\frac{m}{s}[/tex] y [tex]v_{A} = 7\,\frac{m}{s}[/tex], entonces:

[tex]t = \frac{3\cdot \left(10\,\frac{m}{s} \right)}{10\,\frac{m}{s}-7\,\frac{m}{s}}[/tex]

[tex]t = 10\,s[/tex]

Ahora, la posición de encuentro es: ([tex]x_{o} = 0\,m[/tex], [tex]v_{A} = 7\,\frac{m}{s}[/tex] y [tex]t = 10\,s[/tex])

[tex]x_{A} = 0\,m + \left(7\,\frac{m}{s} \right)\cdot (10\,s)[/tex]

[tex]x_{A} = 70\,m[/tex]

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot

Answers

Answer:

The box plot

Step-by-step explanation:

Answer these questions please please

Answers

Answer:

Step-by-step

i) a² - 2ab + b² = (a + b)²

a² = p² ;     a  = p

b² = 16 = 4²  ;        b = 4

2ab = 2*p*4 = 8p

p² - 8p + 16 = (p - 4)²

ii) a² + 2ab + b² = (a +b)²

a² = 121x² = (11x)²                 ;  b² = 4y² = (2y)²

2ab = 2 * 11x * 2y = 44xy

121x² + 44xy + 4y² = (11x + 2y)²

There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. If a die is loaded so that 6 comes up with probability 0.2 and the probabilities of the 2,3,4 , and 5 faces are not affected, which of the choices is the correct assignment of probabilities to the six faces

Answers

Answer:

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Step-by-step explanation:

As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case

P(2) = P(3) = P(4) = P(5) = 1 ÷ 6

And,  P(6) = 0.2

As we know that

P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1

This results P(1) = 2 ÷ 15

So,

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Hence, the correct option is 2nd

Which statement is true for the graph of f(x) = 2x2 - 6x2 - 48x + 24?
(Answers attached)

Answers

Answer:

min = (4, -136) ; max = (-2,80)

Step-by-step explanation:

The option is B

The (-2, 80) is a relative minimum, (4, -136) relative maximum option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The cubic function:

f(x) = 2x³ - 6x² - 48x + 24

Find f'(x):

f'(x) = 6x² - 12x - 48

Equate f'(x) to zero:

6x² - 12x - 48 = 0

Find the roots of the quadratic equation:

x = -2

x = 4

Find f''(x):

f''(x) = 12x - 12

Plug x = -2

f''(-2) = -24 - 12 = -36 < 0

At x = -2 f(x) is minimum

f(-2) = 80

Plug x = 4

f''(4) = 48 - 12 = 36 > 0

At x = 4 f(x) is maximum

f(4) = -136

Thus, the (-2, 80) is a relative minimum, and (4, -136) relative maximum option (C) is correct.

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6^-2 = PLEASE HELP .....................................................................

Answers

Answer:

6^-2 =0.02777777777

Step-by-step explanation:

6^-2 is 0.02777repeating

it could also round up to 0.03 if you want it simplified

​A factory manufactures tennis balls. Each tennis ball is stamped with the number ​1, 2, 3, or 4. The table shown below lists the percent of tennis balls stamped with each ​number. What is the probability that a tennis ball selected at random is stamped ​with an even number? ​​ 1/35% 2/30% 3/20% 4/15%

Answers

Answer:

Step-by-step explanation:

the answer is .25 because i got it right and it makes alot of sense

Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.
Slope​,=6 passing through ​(​-2,8​)
Type the​ point-slope form of the equation of the line.

​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:

Step-by-step explanation:

y - 8 = 6(x + 2)

y - 8 = 6x + 12

y = 6x + 20

If 25% of a number is 30, then what is 40% of the same number?

Answers

Divide 30 by 25% to find the full amount:

30/0.25 = 120

Now multiply the full amount by 40%:

120 x 0.40 = 30

Find the volume of oxygen in a room with the dimensions of 144.78 cm x 198.12 cm x 144.78

Answers

Answer:

  4,152,842.53301 cm³ ≈ 4.1528 m³

Step-by-step explanation:

The volume of a rectilinear room of those dimensions will be the product of those dimensions:

  (144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³

A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...

  4.1528 m³

_____

We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.

_____

Additional comment

These dimensions correspond to those of a room that is 57 inches square and 78 inches high.

-15 - 7= Please help if you know what it is please show work if you can as well? :)

Answers

Answer:

-22

Step-by-step explanation:

-22
It’s basically just adding -15 and -7

Porsches mom told her to choose 3 crayons out of a box

Answers

Pink, yellow, and lime green.

I think this what your looking for ও

Hope this helped ♡
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