Triangle ABC Is similar to triangle DEF. The measures of the side lengths are in cm. Which proportion can be used to find the length of EF in cm? A. EF and 6 = 7- and14 B. 6 and EF = 7 and 14 C. 6 and EF = 7 and 4 D. 14 and 20 = 6 and EF Were there is a word “and" you put a line in between them if that makes sense it's supposed to be a fraction.

Answer:

Option D

Step-by-step explanation:

The expression is a=2b-3

If the variable is in the exponent, then the function is exponential. If the variable is not in the exponent, then it is a quadratic equation. If the function does not have an exponent, then it is a linear function.

For you, it would be linear.

Answer:

160 tiles

Step-by-step explanation:

1000cm×900cm=900000cm²

75cm×75cm=5625cm²

900000cm²÷5625cm²=160 tiles

Answer:

x = \(-\frac{2}{7}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is an equation written in the question and one in the figure, to be sure I'll solve them both

Solve the equation.

7x +(4x - 5) = 3 + 2(x − 3)

7x + 4x - 5 = 3 + 2x - 6

7x + 4x - 2x = 3 - 6 + 5

9x = 2

x = 2/9  ( or 0.2repeating)

----------------------------------------------------------------------

7x + 1/2(4x - 5) = 3/2 + 2(x - 3)

7x + 2x - 5/2 = 3/2 + 2x - 6

7x - 5/2 = 3/2 - 6

14x - 5 = -9/2

14x = -9 + 5

14x = -4

x = -2/7 ( or 0.285714 repeating)

Answer:

30.98

Step-by-step explanation:

Answer:

30.98

Step-by-step explanation:

Answer:

subtract 2 (- 2)

Step-by-step explanation:

the term to term rule is the change between each term in this series.

from 15 to 13, we subtract 2 (-2)

from 13 to 11, we subtract 2 (-2)

from 11 to 9, we subtract 2 (-2)

from 9 to 7, we subtract 2 (-2)

So, this is the term to term rule: subtract 2

Next term as per term rule of arithmetic progression is 5.

" Arithmetic progression is defined as the difference between two consecutive term is constant. Difference is known as common difference."

General form of Arithmetic progression

a, a + d, a + 2d , ........, a + nd

Common difference 'd' = \(a_{n} -a_{n-1}\)

According to the question,

Given terms are,

15, 13, 11, 9, 7

\(a_{1} =15\\\\a_{2} = 13\\\\a_{3} = 11\\\\a_{4} = 9\\\\a_{5} = 7\)

Common difference = \(a_{2} -a_{1}\)

                                 = 13 - 15

                                 = -2

Common difference = \(a_{3} -a_{2}\)

                                  = 11 - 13

                                  = -2

Given sequence is arithmetic progression with common difference -2

Next term after 7 as per term rule of arithmetic progression is

\(a_{6} = 7-2\)

   = 5

Hence, Next term as per term rule of arithmetic progression is 5.

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Answer:

It does not represent a proportional relationship

Step-by-step explanation:

Answer:

It does not represent a proportional relationship

Step-by-step explanation For a line, the constant of proportionality is a fancy way to say the slope. It makes more sense without the intercept: y=2xclearly, the constant of proportionality is 2.

Answer:

4/3

Step-by-step explanation:

reduce the fraction by a factor of 6

pretty sure you mean write 24/18 in simplest form so that's the answer

Hope this helps! :)

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Using the quadratic formula we can see that the correct option is the first one:

x = −5.54 and x = 0.54

Here we want to solve the quadratic equation:

2x² + 10x - 6 = 0

To solve it, we need to use the quadratic formula, the solutions for x will be:

\(x = \frac{-10 \pm \sqrt{10^2 - 4*2*-6} }{2*2} \\\\x = \frac{-10 \pm 12.2}{4}\)

then the two solutions of the quadratic equations are:

x = (-10 + 12.2)/4 = 0.55

x = (-10 - 12.2)/4 = -5.55

Then the correct option (by approximation) is the first one, where the difference in the last digit is due to rounding.

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The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Answer:

we know that

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant

so

the x-coordinate is negative

the y-coordinate is negative

240°=180°+60°

60 degrees is the angle to find the terminal point

let

∅=60°

in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is

-1/2,-√3/2

the answer is the option A

Step-by-step explanation:

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Considering the desired result of the hypothesis test, we the closest mean time to 1.5 hours, hence the correct option is:

C. 1.6 hrs

The closer the mean is to the sample mean, the less likely we are to reject the null hypothesis.

In this problem, the sample mean is of 1.5 hours, hence, the closest value, considering the absolute value of the difference, is of 1.6 hours, hence option C is correct.

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Answer:

2,4

Step-by-step explanation:

Answer:

D

And

B

Hope this helps

The equivalent rewriting of the statement that has the same truth set would be "Considering all people, a person, denoted p, can be president of the United States only if the person p exceeds 35 years of age

"To be president of the United States, it is sufficient that the candidate be at least 35 years old."

The first statement says that being at least 35 years old is a necessary condition for being president of the United States. In other words, one must be at least 35 years old in order to be eligible to be president. This means that if someone is not at least 35 years old, they are not eligible to be president.

The equivalent rewriting of the statement that has the same truth set would be "Considering all people, a person, denoted p, can be president of the United States only if the person p exceeds 35 years of age." This statement means the same thing as the original statement, but rephrased. It says that in order for a person to be eligible to be president, they must be at least 35 years old.

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Answer:

1. 2rs = the 4th blank

2. 18rst = the 1st blank

3. 25ab = the last blank

4. 30abc = the second blank

5. 45abr = the 3rd blank

Step-by-step explanation:

Please mark brainliest.

Answer:

See below.

Step-by-step explanation:

Multiply out the numbers on each line to the right and see which line on hte left they correspond to.

1. 2rs = 2 * r * s

2. 18rst = 2 * 3 * 3 * r * s * t

3. 25ab = 5 * 5 * a * b

4. 30abc = 2 * 3 * 5 * a * b * c

5. 45abr = 3 * 3 * 5 * a * b * r

Answer:

cos θ = -5/13

Step-by-step explanation:

sin θ = -12/13

Use Pythagorean identity.

sin²θ + cos²θ = 1

(-12/13)² + cos²θ = 1

144/169 + cos²θ = 1

cos²θ = 25/169

cos θ = ±5/13

θ is in the 3rd quadrant, so cos θ < 0.

cos θ = -5/13

Answer:

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Can u post the picture so we can help?

Answer:

ysysysuajan. ?bzjsjsnanannshzbzvsvs

Step-by-step explanation:

sgvsbsbahajananba

Answer:-111

Step-by-step explanation:

The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

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Answer:

7

Step-by-step explanation:

-6 + 13

7

-*-=+

Answer:

Whats the question?