. in triangle 4abc, m is the midpoint of the side ab and n is the midpoint of the side ac. find the length of the segment mn if ab =18, bc= 10 and ac= 20

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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In accordance with the above formula, the pythagorean ratio of (x - y) to cos(180 - x + y) is equal to -cos (y - x).

The branch of mathematics concerned with the calculation of specific functions of particular angles. There are six widely used angles-related trigonometric functions. Their relative names and acronyms include sum (sin), covariance (cos), curvilinear (tan), median (cot), subplots (sec), and cotangent (csc).

Inferring the cosine of a difference between two angles using trigonometry, we get:

cos(180 - x + y) = cos(180) cos(x - y) + sin(180) sin(x - y)

Since cos(180) = -1 and sin(180) = 0, The equation above may be made simpler to:

cos(180 - x + y) = -cos(x - y)

As a result, we have:

cos(180 - x + y) = -cos(x - y) = -cos(y - x)

The mathematical ratio of (x - y) to cos(180 - x + y) is hence -cos (y - x).

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Answer: 4 deeds per day

Step-by-step explanation: 7 times 4 is 28

Answer:

10:42

Step-by-step explanation:

The probability that both the balls are black is  \(\frac{1}{9} \\\) .

Probability is the section of mathematics which deals with the likelihood of an event happening.

The value of probability is a fraction which always lies between 0 and 1. it is defined as the ratio of the favorable outcomes of an event to the total outcome of an event.

Given the bag has 10 white balls and 5 black balls. Therefore the total number of balls in the bag is 15 .

Hence the sample space is 15 .

The balls are drawn with replacement. Therefore for the first ball pick:

Number of favorable outcomes = 5

Total number of outcomes = 15

Probability = favorable outcome ÷ total outcome

Therefore  \(P_1=\frac{5}{15}=\frac{1}{3}\)

Now the ball is placed back and the second ball is picked.

Number of favorable outcomes = 5

Total number of outcomes = 15

Probability = favorable outcome ÷ total outcome

Therefore  \(P_2=\frac{5}{15}=\frac{1}{3}\)

Now the total probability that both the balls are black is :

P = P₁×P₂

\(P=\frac{1}{3}\times \frac{1}{3}\\\\P=\frac{1}{9}\)

Hence the probability of picking two black balls is  \(\frac{1}{9} \\\)  .

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Answer:

1 5/8 hours

Step-by-step explanation:

Time spent reading stories = total time - (time spent for games and television)

3 - (1 3/4 + 1/2) = 3 - (7/8 + 4/8) = 24/8 - 11/8 = 13/8 = 1 5/8 hours

Answer:

b 97 ft²

Step-by-step explanation:

he needs to paint the big rectangular wall minus the small rectangular window.

so, the painting area is

13×8 - (3 1/2)×2 = 104 - (7/2)×2 = 104 - 7 = 97 ft²

The value of y when x = 15 is 9

If the  variable y varies directly as x, this is expressed as;

y = kx

where k is the constant of proportionality

If x = 20 when y = 12, then;

k = y/x

k = 12/20

If x = 15, then the value of y is;

y = 12/20*15

y = 9

Hence the value of y when x = 15 is 9

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The calculated output value for an input value of 5 is (c) 10

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

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

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

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

5/4cm

ANSWER CHOICE 4

Step-by-step explanation:

LxW=A, so (5/6)÷(2/3)=W

Flip to get the reciprocal:

(5/6)÷(2/3)=(5/6)×(3/2)

Simplify:

(5/6)×(3/2)

=(5/2)×(1/2)

=5/4

5/4cm

Answer: The answer is D or 5/4 cm

Step-by-step explanation: I have my ways ;>

Slope = 5

The slope-intercept form of the equation of a line is:

y = mx + c

where m represents the slope and c represents the y-intercept

The given equation is y = 5x + 3

Comparing y = 5x + 3 with y = mx + c

m = 5 and c = 3

Therefore, the slope of the line is 5

Answer:

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

HOPE THIS HELPS!!!

She will have to pay 1,500

Answer:$ 24,679.20 or 514.15 a month

Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20

If there are 95 families to feed then each family will receive 11 cans of assorted tins.

Assorted tins typically refer to cans or containers of food items that come in different varieties or flavors.

To calculate the number of cans each family will receive, we need to first determine the total number of cans in the 19 boxes.

19 boxes × 55 cans per box = 1045 cans

Now we can divide the total number of cans by the number of families to determine the number of cans each family will receive:

1045 cans ÷ 95 families = 11 cans per family (rounded to the nearest whole number)

Therefore, each family will receive 11 cans of assorted tins.

For example, a box of assorted tins may contain cans of different types of vegetables, fruits, soups, or other food items. The specific assortment may vary depending on the context and the supplier. In the context of the given question, the 19 boxes of assorted tins likely contain cans of different types of food that will be packed into food parcels for the poor.

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The value of sin 75 without using a calculator is 1/4(√2 +√6)

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

sin(75)

This can be expanded as

sin(75) = sin(45 + 30)

Using the sine rule, we have

sin(75) = sin(45)sin(30) + cos(45)cos(30)

Evaluate the trigonometry ratios

So, we have

sin(75) = √2/2 * 1/2 + √2/2 * √3/2

So, we have

sin(75) = √2/4 + √6/4

Evaluate the sum

sin(75) = 1/4(√2 +√6)

Hence, the value is sin(75) = 1/4(√2 +√6)

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The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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Answer: List all of the solutions.

1

=

3

=

179

=

Step-by-step explanation:

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

\(average speed=\frac{a+b}{2}\)

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

\(=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540\)

Alyssa's average speed on the round trip is 540mph.

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The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.

The mean of the sampling distribution is np and the standard deviation is  \($\sqrt{np(1-p)}$\).

Round the standard deviation to three decimal places, it is \($\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$\).

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\). This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).

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Answer:

175 guests

Step-by-step explanation:

19 + 121 = 4/5x

140= 4/5x (multiply by the reciprocal of 4/5 to get x by itself: 5/4)

140 x 5/4 = x

x= 175

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer:

a) f(6)=(6)^2+4(6)+1=65

b)f (x+9)=(x+9)^2+4 (x+9)+1=(x^2+18x+81)+(4x+36)+1=x^2+22x+117

f (-x)=(-x)^2-4x+1

Ordered pair for the equation 4x-y=5 which is a solution of a given equation is (0,-5).

An ordered pair refers to a pair of two numbers or variables written inside the bracket and separated by comma.

To find an ordered pair of a equation we just need to find the values of x and y which will satisfy the given equation.

Here given equation is 4x-y=5

So we will put x=0 and y=-5

⇒ 4(0)-(-5)=5

Therefore (0.-5) satisfy given equation.

Hence (0.-5) is an ordered pair of 4x-y=5.

Note:- There are many ordered pairs that satisfy the given equation.

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Answer:

I'm pretty sure it's the first and last one