52 – 18+(2 * 8) = 4
I don’t know what the answer is

The measure of the fourth interior angle of the quadrilateral is 65°. Hence, the correct answer is (a) 65°.

To calculate the measure of the fourth interior angle of a quadrilateral when the measures of three interior angles are known, we can use the fact that the sum of the interior angles of a quadrilateral is always equal to 360 degrees.

Let's denote the measure of the fourth interior angle as x.

Provided that the measures of the three known interior angles are 120°, 100°, and 75°, we can write the equation:

120° + 100° + 75° + x = 360°

Combining like terms, we have:

295° + x = 360°

To solve for x, we subtract 295° from both sides of the equation:

x = 360° - 295°

Calculating this, we obtain:

x = 65°

Hence, the answer is (a) 65°.

To know more about quadrilateral refer here:

https://brainly.com/question/29934440#

#SPJ11

Answer:

Step-by-step explanation:

Answer:

On the map, the endpoint of the string of buoys are located at (6,18) and (18,34). The midpoint of the string is located at (12,26). Each anchor is located at the midpoint of one of the two halves of the string of  buoys. We can illustrate this using a sketch like this

The first anchor, A1, is located at the midpoint of (6,18) and (12,26):

(6+12/2, 18+26/2)= (9,22)

The second anchor, A2, is located at the midpoint of (12,26) and (18,34) :

(12+18/2, 26/34/2) = ( 15,30)

Step-by-step explanation:

The equation in the slope-intercept form is:

y = (1/2)*x + 3

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)

Then the slope is:

\(a = \frac{4 - 3}{2 - 0} = 1/2\)

And we also can see that the y-intercept is y = 3, because of the point (0,3)

Then the line is:

y = (1/2)*x + 3

If you want to learn more about lines you can read:

https://brainly.com/question/1884491

#SPJ1

Assuming you know the mean (mu) and the standard deviation (sigma), you would use the raw score (x) to get the z score through this formula

z = (x-mu)/sigma

If you get a positive z value, then the raw score is above the mean. If z is negative, then the raw score is below the mean.

The absolute value of z tells us how far away from the mean we are in terms of standard deviation.

Eg: z = -3 leads to |z| = |-3| = 3, so we're 3 standard deviations below the mean.

Answer: it’s E.

Step-by-step explanation:

The student can take 8 months of lessons if he has $649 to spend on lessons and the book.

The arithmetic action of division is the opposite of multiplication. It is employed to determine how frequently one quantity is included within another. Divide the dividend by the divisor to execute a division, which can be represented with the division symbol () or a fraction bar (/). The outcome of division is the quotient, which shows how many times the dividend can be divided by the divisor. For instance, if you divide 8 apples into 4 equal portions, each portion would include 2 apples.

First, let's find the total cost of the lessons by multiplying the cost per month by the number of months:

$78/month × n months = $78n, where n is the number of months of lessons.

Next, we add the cost of the book to find the total cost:

$78n + $25 = $649.

Now, we can solve for n by subtracting the cost of the book from both sides of the equation:

$78n = $649 - $25 = $624.

Finally, we divide both sides of the equation by 78 to find the number of months of lessons:

n = $624 ÷ $78/month = 8 months.

So, the student can take 8 months of lessons if he has $649 to spend on lessons and the book.

To know more about equation visit:

https://brainly.com/question/29174899

#SPJ1

Answer:

3 cm : 1 cm

Step-by-step explanation:

1. 60 : 20

2. divide 10 on both sides = 6 : 2

3. divide by 2 on both sides = 3 : 1

4. 3 cm : 1 cm

I'm so sorry, I just read the ratio is 60 cm to 20 M

So edit:

convert both into a unit, we'll take m.

1 cm = 100 m

so 60 x 100 = 60000 m

= 60000 m : 20 m

= divide by 20 in both sides...

= 3000 m : 1 m

34 questions was answered correctly by the student, while 6 questions were incorrect

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

A math test has 40 questions. A student answers 85% of the questions correctly.

Number of questions answered correctly = 85% of total questions = 0.85 * 40 questions = 34 questions

Number of questions not answered correctly = 40 - 34 = 6 questions

34 questions was answered correctly by the student.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Hey there!

There are a total of 20 children, and 2+6, or 8 are girls.

Thus the probability of choosing a girl is 8/20, or 2/5.

There are 2 left handed girls, so the probability is 2/20, or 1/10.

Hope this helps :)

Answer:

see below

Step-by-step explanation:

There are 2+6 = 8 girls

P( girl) = number of girls/ total  = 8/20 = 2/5

P( left handed girl) = number of left handed girls/ total  = 2/20 = 1/10

Answer:

5x(x+4)(2x+1)(2x−1)

Step-by-step explanation:

Answer:

The answer is B

Step by step:

its B

Answer:

\( {64m}^{9} {n}^{3} \)

Step-by-step explanation:

Forst thing to do in this is to write it out, it makes more sense of the problem.

\(( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2}n } ) \times ( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2}n } ) \times( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2}n } )\)

Now we can solve for the equation, it takes time.

\( (\frac{ {16m}^{10} {n}^{4}}{ {m}^{4} {n}^{2} } ) \times ( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2} n} ) \\ \frac{ {64m}^{15} {n}^{6} }{ {m}^{6} {n}^{3} } \\ {64m}^{9} {n}^{3} \)

Option c) mean may give misleading information if a distribution is skewed.

When a distribution is skewed, the measure of central tendency that may give misleading information is mean. Skewness is a statistical measure that helps determine the distribution's symmetry.

The mode is the value that appears the most frequently in the dataset. The median is the value in the middle of the dataset when it is sorted in numerical order.

The mean is the average of the dataset, which is calculated by summing all the values and then dividing the total by the number of observations. The skewness can be positive or negative, depending on the direction of the long tail of the distribution.

A positive skew occurs when the tail on the right side of the distribution is longer than the tail on the left side. In this case, the mean will be greater than the median, as the tail on the right side pulls the mean in that direction.

Conversely, a negative skew occurs when the tail on the left side of the distribution is longer than the tail on the right side. In this case, the mean will be less than the median, as the tail on the left side pulls the mean in that direction.

Therefore, option c) mean may give misleading information if a distribution is skewed.

Know more about mean here,

https://brainly.com/question/31101410

#SPJ11

Answer: B and D

Step-by-step explanation:

Both conditions of the alternating series test are satisfied, so the series ∑ (-1)^n a_n converges.

To apply the alternating series test, we need to verify the following two conditions:

The sequence {a_n} = 1/(n^2 - 5) is positive, decreasing, and approaches 0 as n approaches infinity.

The series ∑ (-1)^n a_n = ∑ (-1)^n/(n^2 - 5) converges.

To check the first condition, we can take the derivative of a_n:

a'_n = -2n/(n^2 - 5)^2

Since n ≥ 3, we have n^2 - 5 ≥ 4, so (n^2 - 5)^2 ≥ 16. This implies that a'_n ≤ 0 for n ≥ 3. Therefore, the sequence {a_n} is decreasing.

To check that the sequence approaches 0, we can use the limit comparison test with the convergent p-series ∑ 1/n^2:

lim n→∞ a_n/(1/n^2) = lim n→∞ n^2/(n^2 - 5) = 1

Since the limit is finite and positive, we conclude that {a_n} approaches 0 as n approaches infinity.

Thus, both conditions of the alternating series test are satisfied, so the series ∑ (-1)^n a_n converges.

Learn more about alternating series here:

https://brainly.com/question/16969349

#SPJ11

Answer:

15 dollars

Step-by-step explanation:

21 - 18 = 3

18 - 3 = 15

I hope this helps have a good day and stay safe!

Answer:

15

Step-by-step explanation:

one  pen is three dollars. that leaves 15 dollars left over.

If correct may l please have brainliest?

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Acceleration = 2 m/s²

Step-by-step explanation:

Formula: Force(N) = mass(kg) × acceleration(m/s²)

Acceleration = \(\frac{force}{mass}\)

Given: Mass = 1.5 kg  

Force = 3.0 N

Acceleration = \(\frac{force}{mass}\)

Acceleration = \(\frac{3.0}{1.5}\)

Acceleration = 2 m/s²

Answer:2.0 m/s2

Step-by-step explanation:

IJ

How?

In triangle GHJ <H is right angle

Now

in triangle HIJ

IJ is the hypotenuse

So option A is correct

The corresponding segment for GJ in triangle GHJ in similar triangle HIJ is,  'JI'.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

⇒ Δ GHJ ≈ Δ HIJ

By the figure, we have;

In ΔGHJ, Side GJ is opposite side of the right angle.

And, In Δ JHI, Side JI is opposite side of the right angle.

Hence, The side JI in Δ JHI is corresponding segment in similar triangle GHJ.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

(a) To show that |f(x) - f(y)| ≤ M |x - y| for all x,y ∈ (a,b), we can use the Mean Value Theorem (MVT).

Let c be a point between x and y, such that x < c < y. Then, by MVT, we have:

f(x) - f(y) = f'(c)(x-y)

Since |f'(c)| ≤ M for all c ∈ (a,b), we have:

|f(x) - f(y)| = |f'(c)||x-y| ≤ M|x-y|

Thus, we have shown that |f(x) - f(y)| ≤ M |x - y| for all x,y ∈ (a,b).

(b) An example of such a function is the absolute value function on the interval (-1, 1):

f(x) = |x|

It is not differentiable at x = 0. However, for any x,y ∈ (-1,1), we have:

|f(x) - f(y)| = ||x| - |y|| ≤ |x - y| ≤ 1|x - y|

So, we have |f(x) - f(y)| ≤ M|x - y| with M = 1.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

Answer: 320 Liters of water were used.

Step-by-step explanation:

Answer:

Step-by-step explanation:

it would be 67108864

Answer:

\(4^{13}\)

Step-by-step explanation:

In exponents multiplication, if base are same , add the powers

\(a^{m}*a^{n} = a^{m+n}\\\)

\(4^{6}*4^{7}= 4^{6+7} = 4^{13}\)

Step-by-step explanation:

Tip 1) Always Start from the More Complex Side.

Tip 2) Express everything into Sine and Cosine.

Tip 3) Combine Terms into a Single Fraction.

Tip 4) Use Pythagorean Identities to transform between sin²x and cos²x.

Tip 5) Know when to Apply Double Angle Formula (DAF)

I am also from nepal...very happy to see you..

Answer:

            4

9           9

14           14

19             19

Step-by-step explanation:

Answer:

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

Change into improper fraction

\(-2\frac{5}{8}*4\frac{1}{3}=\frac{-21}{8}*\frac{13}{3}\\\\ = \frac{-7}{8}*\frac{13}{1}\\\\=\frac{-91}{8}\\\\=-11\frac{3}{8}\)

Answer: Since the radius of the circle is perpendicular to AB, AB is tangent to the circle.

Step-by-step explanation:

Answer:

perpendicular and tangent

Step-by-step explanation:

Answer:

6.00150024e+14

Step-by-step explanation:

i am sorry if im wrong

The augmented matrix V, Vx is as shown below: V, Vx = 10 13 15 -7 -9 -4 9 12 14 6 9 11Reduce the augmented matrix V, Vx to reduced echelon form [ B x ] to obtain: 1 0 -1 -5 -3 - 3 0 1 1 3 2 2.

The augmented matrix in upper triangular and row equivalent to [ B x ].

X is in H because His the Span (Vxz) and B= (v2).

Thus, the correct option is OA.

The B-coordinate vector of x is [x] = [4; 1].

This solution was found by using the algorithm for Gaussian Elimination (reduced-row echelon form) where x is expressed as a linear combination of vectors in H (the set containing the span of vectors V and V2).

To know more about augmented matrix visit :

https://brainly.com/question/16932004

#SPJ11