Lines m and n intersect to form various angles.
Which angle is a vertical angle with ∠6?


∠5

none of these


∠8


∠7

Answer:

125°

Step-by-step explanation:

Sum of all the internal angles in a triangle is 180°

So, we have,

67°+58°+ Adjacent angle of 1 = 180°

125°+Adjacent angle of 1 = 180°

Adjacent angle of 1 = 180° - 125° = 55°

Angle 1 and its adjacent angle are supplementary

So, Angle 1 + Adjacent angle of 1 = 180°

Angle 1 + 55° = 180°

Angle 1 = 180° - 55° = 125°

The degrees of freedom for the F test in a one-way ANOVA are D. (c - n) and (n - 1).

The numerator degrees of freedom (c - n) is the number of groups (c) minus the number of observations in each group (n). The denominator degrees of freedom (n - 1) is the total number of observations (n) minus the number of groups (1). These degrees of freedom are used to calculate the F statistic, which is used to determine if there is a significant difference between the means of the groups. The degrees of freedom for the F test in a one-way ANOVA are given by two values. The first value represents the degrees of freedom between groups (DFbetween), and the second value represents the degrees of freedom within groups (DFwithin). The correct is B. (c - 1) and (n - c), where 'c' represents the number of groups (categories) and 'n' represents the total number of observations (data points) in the dataset.

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Step-by-step explanation:

sum=2/3 and product=-4

x^2-(sum)x+(product)

x^2-2/3x+(-4)

x^2-2/3x-4

1/3(3x^2-2x-12)

the polynomial is 3x^2-2x-12

Answer:

I hope it is correct ✌️

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

9k² = 225

k² = 225 : 9

k² = 25

k = -5 and k = 5 because :

(-5)² = (-5) * (-5) = 25

5² = 5 * 5 = 25

Answer:

Step-by-step explanation:

Let the previous salary be x

Increase = 5%

New salary = £880

Answer:

Step-by-step explanation:

according to the question

\(x \times \frac{105}{100} = 880\)

\(x = 880 \times \frac{100}{105} \)

\(x = 838.10\)

Answer:

Step-by-step explanation:

Expression that represents Bo's balance after a year is 1.04m.

Therefore, the answer is option A: 1.04m.

The simple interest formula is:

I = Prt

where I is the interest earned, P is the principal or amount of money invested, r is the interest rate (as a decimal), and t is the time period (in years).

In this case, we know that the interest rate is 4% per year, or 0.04 as a decimal. The time period is 1 year, so t = 1.

Therefore, the interest earned after 1 year is:

I = Prt = m × 0.04 × 1 = 0.04m

The balance after 1 year is equal to the principal plus the interest earned, which is:

Balance = Principal + Interest = m + 0.04m = 1.04m

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The solution does the given system of equations have is one solution that is (3/2 , 7/2)

What is Linear equation ?

Linear equation can be defined as the equation in which highest degree is one.

Given system of equations ,

x - y = -2

3x + y = 8

so

Lets add two equations ,

x+3x = -2+8

4x = 6

x = 6/4

x = 3/2

So substitute x = 3/2  in x - y  = -2

3/2 - y = -2

3/2 + 2 = y

y = 7/2

Hence, The solution does the given system of equations have is one solution that is (3/2 , 7/2)

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Answer:

8 days :)

Step-by-step explanation:

1/2 x 4

1/2 + 1/2 = 1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8

1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 8

Answer:

r = -1 or r = 5/3

Step-by-step explanation:

(2k - 1)/(k + 1) = (3k + 1)/(2k - 1)

(2k - 1)^2 = (k + 1)(3k + 1)

4k^2 - 4k + 1 = 3k^2 + 4k + 1

k^2 - 8k = 0

k(k - 8) = 0

k = 0 or k = 8

For k = 0,

(2k - 1)/(k + 1) = -1/1 = 1

For k = 8,

(2k - 1)/(k + 1) = 15/9 = 5/3

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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Answer:

Let's call the price of one adult ticket "a" and the price of one student ticket "s".

From the information given, we can set up two equations:

2a + 8s = 140 (equation 1)

5a + 8s = 182 (equation 2)

We can solve this system of equations using elimination or substitution.

Let's use elimination. We'll start by multiplying equation 1 by 5 and equation 2 by -2:

10a + 40s = 700 (equation 1, multiplied by 5)

-10a - 16s = -364 (equation 2, multiplied by -2)

Adding these two equations eliminates the "a" term:

24s = 336

Dividing both sides by 24:

s = 14

Now we can substitute this value of "s" into either equation to solve for "a". Let's use equation 1:

2a + 8(14) = 140

2a + 112 = 140

2a = 28

a = 14

So the price of one adult ticket is $14 and the price of one student ticket is

Answer:

720)))

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4+3=7

7-4=3

7-3=4

Answer:

The answer is: -15 35/51 < -15.6 < - radical 245 < 154/10

Answer:

3 cents

Step-by-step explanation:

cost of  20 markers=$6

cost of 1 marker=?

Cost of 1 marker = 6/20 = 3/10 = 0.3

It costs 3 cents.

Answer:

If you've written it correctly, the answer is 2.25.

Step-by-step explanation:

Can be written as:

0.5 * (2.5 * 4.8 - 7.5).

Perform the multiplications inside the brackets, first:

0.5 * ( 12 - 7.5)

Then perform the remaining arithmetic inside the brackets:

0.5 * ( 4.5)

Perform the last arithmetic:

2.25.

Again, that's if you've written it correctly, and when you say 4 4/5-7 1/2 this actually means four and four fifths (4.8) minus seven and a half (7.5).

Answer:

\( - 2 \times \frac{3}{80} \)

Step-by-step explanation:

solve using BODMAS

THE ANSWER IS -10P.

Step-by-step explanation:

USING BY MULTIPLICATION RULE.

minus × plus = minus

then minus × minus = plus.

so we add the 4p+6p= -10p.

why -10p is come it means THE BIGGER NUMBER SIGN IS MINUS. So it's comes -10p.

HOPE IT HELP......

\(\huge\text{Hey there!}\)

\(\mathsf{-4p + (-6p)}\\\\\mathsf{= -4p - 6p}\\\\\large\text{COMBINE the LIKE TERMS:}\\\\\mathsf{= (-4p - 6p)}\\\\\mathsf{= -4p - 6p}\\\\\mathsf{-10p}\\\\\\\huge\textbf{Therefore, your answer should be:}\\\huge\boxed{\mathsf{-10p}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

\({ \bold{ \sqrt[3]{V}}} \)

Step-by-step explanation:

\({ \green{ \sf{V = s³}}}\)

Cube on both sides, then

\({ \green{ \sf{s = \sqrt[3]{V}}}} \)

Answer:

C

Step-by-step explanation:

\(x + y = 180 \\ 140 + x = 180 \\ x = 180 - 140 \\ x = 40\)

Given:

A medical researcher needs 7 people to test.

15 people have volunteered for the test.

To find:

We need to find a number of ways to select 7 from 15 people.

Explanation:

The number of ways to select 7 from 15 people can be found by the given formula.

Substitute n=1`5 and r=7 in the formula.

Final answer:

The number of ways = 6435 ways.

This algebraic expression represents the same mathematical relationship as the original English phrase.

To translate the English phrase "the quotient of the product of 6 and 6r, and the product of 8s and 4" into an algebraic expression, we need to first identify the mathematical operations involved and then convert them into symbols.

The phrase is asking us to divide the product of 6 and 6r by the product of 8s and 4. In mathematical terms, we can represent this as:

(6 × 6r) / (8s ×4)

Here, the symbol "*" represents multiplication, and "/" represents division. We multiply 6 and 6r to get the product of 6 and 6r, and we multiply 8s and 4 to get the product of 8s and 4. Finally, we divide the product of 6 and 6r by the product of 8s and 4 to get the quotient.

We can simplify this expression by dividing both the numerator and denominator by the greatest common factor, which in this case is 4. This gives us the simplified expression:

(3r / 2s)

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The English phrase "the quotient of the product of 6 and 6r, and the product of 8s and 4" can be translated into an algebraic expression as follows: (6 * 6r) / (8s * 4)

Let's break down the expression:

Therefore, the complete expression becomes: 36r / 32s

In this expression, the product of 6 and 6r is calculated first, which is 36r. Then the product of 8s and 4 is calculated, which is 32s. Finally, the quotient of 36r and 32s is calculated by dividing 36r by 32s.

This expression represents the quotient of the product of 6 and 6r and the product of 8s and 4. It signifies that we divide the product of 6 and 6r by the product of 8s and 4.

In algebra, it is important to accurately represent verbal descriptions or phrases using appropriate mathematical symbols and operations. Translating English phrases into algebraic expressions allows us to manipulate and solve mathematical problems more effectively.

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The distance between the earth and the star is 2.01200 x 10^20 miles.

Given:-

The distance between the Earth and the star is 33.7 light-years, and one light-year is equal to 6 trillion miles.

To find:-

The distance between the earth and the star in miles. The speed of light in a vacuum is 3 x \(10^{8}\) m/s. Sunlight takes about 8 minutes to reach the Earth.

Light-year is the distance travels by light in one year.

To convert 33.7 light-years into miles multiply 33.7 by 6 trillion.

33.7 light-years * 6,000,000,000,000 miles/light-year  

= 201,200,000,000,000,000 miles

= 2.01200 x 10^20 miles

The distance between the earth and the star is 2.01200 x 10^20 miles.

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Answer:

25

Step-by-step explanation:

The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.

d² = y²+x²

Direction through north (along y-axis)

Direction through east (along x-axis)

Given

y = 7units

x = 24units

Substitute

d² = 24²+7²

d² = 576+49

d² = 625

d = √625

d = 25 units

Hence the total distance Noah traveled to school and back home is 25blocks from post office

Answer:

change up to down the rest is right

Step-by-step explanation:

hope I helped!!

The area of the triangle is 31.54 square units

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

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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Answer: 1.42 x 10^1

Step-by-step explanation:

Answer: 1.42x10

Step-by-step explanation:

25 - (5+9)

= 25 - 14

Hope this will help...

Please mark as brainliest...

Answer:

11

Step-by-step explanation:

Use the correct order of operations, and do what is in the parentheses first.

25 - (5 + 9) = 25 - 14 = 11