What are the missing reasons in the two-column proof?
Given: ↔MO bisects ∠PMN and ↔OM bisects ∠PON
Prove: ΔPMO ≅ ΔNMO

The candy box has 46 chocolate bars and 92 milk bars.

Given is that there are two times the amount of milk chocolate bars as there are dark chocolate bars in a box. There are a total of 138 candy bars in the box.

Assume that there are [x] chocolate bars in the box. Then, there will be [2x] milk bars. So, we can write -

2x + x = 138

3x = 138

x = 138/3

x = 46

Therefore, there are 46 chocolate bars and (2 x 46) or 92 milk bars in the candy box.

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Answer:

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Step-by-step explanation:

1. The probability of rolling 4 on a 6-sided die is 1/6, as each side is equally probable.

2. The probability of flipping a coin onto heads is 1/2, as there are 2 equally probable outcomes.

3. The probability of drawing red or green out of 6 red, 5 blue, 3 green is 9/14 (9 positive outcomes out of 14).

4. The probability of rolling a 7 with a 6 sided die is 0, as there is no such number on the die.

5. The probability of rolling a number less than 7 on a 6 sided die is 100%, or 1, because any outcome is positive (we can only roll numbers smaller than 7).

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Answer:

Step-by-step explanation:

all creds to person above

Answer: c

Step-by-step explanation:

Answer:

  0.17

Step-by-step explanation:

You want the probability that a randomly chosen 8th grader will play the guitar.

The table tells us that there are 4 eighth grade students that play the guitar. The total number of eighth grade students is 4+10+6+3 = 23. When one is chosen at random, the probability they play the guitar is ...

  (4 students)/(23 students) = 4/23 ≈ 0.17

The probability an 8th grader will play the guitar is about 0.17.

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The reason for the similarity of the triangles FGH and JHK is given as follows:

HL.

The similarity theorems are listed as follows:

The similarities between the triangles FGH and JHK are given as follows:

As they are right triangles, the remaining side should also be equal, according to the trigonometric ratios, hence the theorem is the SSS theorem, also called HL theorem.

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Answer:

Area: 200.96

Circumference: 50.24

Step-by-step explanation:

Area: π* r²

Circumference: 2* π*r

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

because it is an isoceles triangle (both legs are equally long), also both side angles on the baseline must be equally large.

so, we have

4x + 3 = 2x + 29

4x = 2x + 26

2x = 26

x = 26/2 = 13

41 = 3y + 2

39 = 3y

y = 39/3 = 13

The metrics of dispersion are mean deviation and range. While quartile deviation is a measure of dispersion, quartiles themselves are not.

25% from the lowest to the highest number in the first quartile. 25.1% to 50% in the second quartile (till median) Three-quarter range: 51% to 75% (above the median) 25% of the highest values are in the fourth quartile.

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3). As the second quartile, the median is used (Q2). The distance between the upper and lower quartiles is known as the interquartile range.

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The percentage of the increment in Hohn's salary will be 3.35%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

John's compensation is $25.38 for each hour. He receives a pay increase of $0.85

The percentage of the increment is calculated as,

P = (0.85 / 25.38) / 100

P = 0.0335 x 100

P = 3.35%

The percentage of the increment in Hohn's salary will be 3.35%.

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The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

According to the given information

Consider the logarithmic function:

[tex]f(x)=-1311+306 \ln x[/tex]

Here x is the number of years since 1990 and f(x) is the outpatient surgery as the percent of total surgeries.

In the year 1996:

[tex]& x=96 \\[/tex]

[tex]& f(96)=-1311+306 \ln (96) \\[/tex]

        [tex]& =-1311+1396.69 \\[/tex]

        [tex]& =85.69 \\[/tex]

        [tex]& \approx 86 \\[/tex]

Thus,

The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %

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Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10. When determining if two ratios or fractions are equivalent, the proportion formula is utilized. By dividing the supplied values, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.

Given,

22 miles/ 55 hours = 12 miles/ k hours

Solving the proportion using cross products,

22 × h = 12 × 55

22 × h = 660

h = 660 ÷ 22

h = 30

Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

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The order of the number from greatest to least is option (B) 78/9 , [tex]\sqrt{45}[/tex]  , [tex]\sqrt[3]{97}[/tex]

The given numbers are

[tex]\sqrt[3]{97}[/tex], 78/9 and [tex]\sqrt{45}[/tex]

To find the descending order of the numbers, first we have to convert the numbers to a single form

The first number = [tex]\sqrt[3]{97}[/tex]

Convert the cube root of the 97 to the decimal form

[tex]\sqrt[3]{97}[/tex] = 4.59

The second number = 78/9

Convert the simple fraction to the decimal form

78/9 = 8.67

The third number = [tex]\sqrt{45}[/tex]

Convert the root of 45 to the decimal form

[tex]\sqrt{45}[/tex] = 6.70

Compare the numbers in decimal form and write in descending  order

78/9 > [tex]\sqrt{45}[/tex]  > [tex]\sqrt[3]{97}[/tex]

Therefore, the descending order is 78/9 , [tex]\sqrt{45}[/tex]  , [tex]\sqrt[3]{97}[/tex]

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Answer:

y=45x-540

Step-by-step explanation:

Answer:

The answer to the linear equation y = 2x + 6 is (x, y) = (1, 2.5). This means that if we plug in x = 1 into the equation, we get y = 2.5.

Step-by-step explanation:

To find the solution to the linear equation y = 2x + 6, we can first rewrite the equation in slope-intercept form. This is done by rearranging the equation to have the form y = mx + b, where m is the slope of the line and b is the y-intercept.

In this case, we have y = 2x + 6. To put this equation in slope-intercept form, we need to isolate the y-term on one side of the equation. We can do this by subtracting 2x from both sides, which gives us y - 2x = 6.

Next, we need to divide both sides of the equation by the coefficient of the y-term, which is -2 in this case. This gives us the equation y = -(1/2)x + 3.

Finally, we can plug in any value of x that we want to find the corresponding value of y. For example, if we plug in x = 1, we get y = -(1/2) * 1 + 3 = 2.5. Therefore, the solution to the equation y = 2x + 6 is (x, y) = (1, 2.5).

In general, if we want to find the solution to a linear equation in slope-intercept form, we can plug in any value of x that we want to find the corresponding value of y. This process is called graphing the line, and it is a useful way to visualize the solutions to linear equations.

computer is not intelligence why

Answer:The correct anserw is B.

Step-by-step explanation:

Answer:

A. £48.36

B. £129.12

C. £158.22

D. £345.93

Step-by-step explanation:

Divide by two and add the quotient for each question to get the answer.

Answer:

Step-by-step explanation:

y=-10x1 = -10

y intersects at -10 as a horizontal line.

Answer:

37?

Step-by-step explanation:

the answer is 4/5 this is know to be hard

The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal, so option A is correct.

A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.

Given data:

The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3),

Calculate the distance of sides as shown below

[tex]AB = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB = [tex]\sqrt{[-7-(-8)]^2 + (8-5)^2}[/tex]

AB =  √(1² + 3²)

AB = √10

Calculate

BC = [tex]\sqrt{[-1-(-7)]^2+(6 - 8)^2}[/tex]

BC = √(36 + 4)

BC = √40 or 2√10

Similarly,

CD = √10

And AD = 2√10

Here AB = CD and BC = AD, opposite sides equal, so it is a rectangle. Therefore, the parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal.

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Answer:

[tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

7 - 9x = 10  Subtract 7 from both sides of the eqaution

-9x = 3  Divide both sides by -9

x = [tex]\frac{-3}{9}[/tex] = [tex]\frac{-1}{3}[/tex]

Answer:

The y-intercept of the table shown is (0, 1).

The y-intercept of the parabola can be found by verifying if any coordinates from the table has x = 0 and y = some specific value. If there is a coordinate point such that the value of both is x = 0 and y = any value, then the value of y is the y-intercept of the parabola. Further explained in example:

Example: if a line passes through a coordinate point (0, 4), the y-intercept for that line is four because the value of x is 0 and y is 4.

Solving the Problem/Question (Applying the method stated above):

From the table, we can tell that the parabola passes through the following coordinate points: (-2, -11); (-1, -4); (0, 1); (1, 4); (2, 5); (3, 4); (4, 1).

From all the coordinates, we find that (0, 1) has the value of x as 0 and the value of y as 1. Therefore, this coordinate point (0, 1) is the y-intercept.

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Answer:

631, 633, 635

Step-by-step explanation:

Odd numbers exists in AP with common difference of 2.

That is; 1, 2, 5, 7 etc

So lets say the middle number of the three consecutive numbers is x, the next number to it Will be (x+2), and the previous number will be (x-2)

Therefore, the sequence is (x-2), x, (x+2) ... (1)

and the series will be, (x+

-2) + x + (x+2) = 1899

Solve for x;

x + x + x - 2 + 2 = 1899

3x + 0 = 1899

x = 1899 ÷ 3

x = 633

Therefore the consecutive odd numbers (following 1) is: (633 - 2), 633, (633+2) = 631, 633, 635

Answer:

196

Step-by-step explanation:

[tex](18-4){2}[/tex] = (18-4) x (18-4) = 14 x 14 = 196

Answer:

what is the question please ask properly

Answer:

volume = 3750 m³

Step-by-step explanation:

volume = length × width × height

volume = 50 m × 25 m × 3 m

volume = 3750 m³

f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .

What is a function ?

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is a domain ?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Thus , from the graph it can be clearly depicted that it is representing f(x)=-Lxl for an entire range of  -3 ≤x≤3 .

Hence , f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .

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Answer:

c

Step-by-step explanation:

just did assignment

Answer:

w = 3/5

Step-by-step explanation:

Given equation,

→ 5w = 3

Now the value of w will be,

→ 5w = 3

→ w = 3 ÷ 5

→ [ w = 3/5 ]

Hence, the value of w is 3/5.