10 i
State which theorem you can use to show that the quadrilateral is a parallelogram
8
You can use the
Parallelogram Diagonals Converse
Parallelogram Opposite Angles Converse
Parallelogram Opposite Sides Converse
Opposite Sides Parallel and Congruent Theorem

Answer:

Line n bisects segment XY

The length of segment XY = 6

Step-by-step explanation:

Line n is the segment bisector of segment XY

A bisector is to divide into two equal parts, so;

5x + 8 = 9x + 12

4x = -4

x = -1

Total segment = 5x + 8 + 9x + 12

plug in -1 for x;

-5 + 8 + -9 + 12

XY = 3 + 3

XY = 6

Answer:

the answer i came up with for the first question the answer is C

for the second question, i go 11.4

Step-by-step explanation:

how i got 11.4 add all like valuables

12+8=20

9x+5x=14x

then divide to get x alone to get 11.4

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer:

Top left graph

General Formulas and Concepts:

Statistics

Step-by-step explanation:

The best linear model for the data would be the best line of fit for the data. We can eliminate the rightmost graphs as they have no correlation with the data.

Between the leftmost graphs, we can see that the top left graph would be choice as it encompasses most of the data/is more of the data's average than the bottom one.

The median of the data set is 75.80, rounded to two decimal places.

The mean of the data set can be calculated by adding up all the values and dividing by the number of values.

The formula is:

mean = (sum of all values) / (number of values)

For the given data set, mean = (59.8 + 61.4 + 69 + 71.2 + 78.7 + 83.5 + 89.6 + 94.1 + 84 + 75.2 + 79.7 + 83.6 + 74.8 + 74 + 83.3 + 73.8 + 90 + 68.3 + 71.7 + 74.2 + 69.3 + 68.5 + 71.3 + 78.5 + 73.2 + 91.4 + 78.7 + 56.4 + 73 + 65.6 + 69.9 + 73.8 + 80.1 + 78.7 + 75.8 + 66.7 + 79.7 + 66 + 73 + 85.3 + 72.1 + 78.5 + 79.9 + 75.6 + 71.3 + 69.6 + 58.6 + 64.3 + 63.2 + 79.9 + 70.1 + 80.4 + 88.2 + 79.4 + 74.6 + 65.2 + 70.6 + 77 + 73.2 + 81.5 + 83.3 + 77 + 82 + 78.5 + 75.4 + 78.5 + 73.6 + 86.8 + 74.4 + 65.2) / 60 = 6288.6 / 60 = 104.81

So, the mean of the data set is 104.81, rounded to two decimal places.

The median of the data set can be calculated by arranging the values in ascending order and finding the middle value. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.

For the given data set, the median can be found as follows:

56.4 58.6 63.2 64.3 65.2 65.6 66 66.7 68.3 68.5 69 69.3 69.6 69.9 70.1 70.6 71 71.3 71.7 73 73 73.2 73.6 73.8 74 74 74.2 74.4 74.6 75.2 75.4 75.6 75.8 76.7 77 78 78.5 78.5 78.5 78.7 79 79.4 79.7 79.7 79.9 80.1 80.4 81.5 82 83 83.3 83.3 83.5 83.6 84 85.3 86.8 89.6 90 91.4 94.1

The median is 75.8.

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Answer:

Rate : 1 page for every 4 students.  

Unit Rate: 500 pages per ream.40 pages for every blooket.15 pages for evry blooket

Neighter: 25 pages

Step-by-step explanation:

I hope this helps :)

The diffrence between unit rate and rate is the unit rate refers to those rates in which the numerator is 1. Rate would be like there is 1 person per car. Unit rate would mean There are 3 cars for each person.

Answer:

The answer is $4.10

Step-by-step explanation:

If 3 pounds = $1.23

1 pound =1.23/3

= 0.41

Therfore 10 pounds = 10× 0.41 = $4.10

Answer:

45-0.023=44.977

Step-by-step explanation:

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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the probability of winning a lottery game out of all the games played is 0.16.

We are given that:

In a lottery game, the chances of win are = 4 in 25

So, this means that:

if a person plays 25 games of lottery, then he will probably win 4 games out of them.

So, we get that:

Total games = 25

Win games = 4

Probability = win games / total games

Substituting the values, we get that:

Probability = 4 / 25

P = 0.16

Therefore, we get that, the probability of winning a lottery game out of all the games played is 0.16.

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Hey there!

The correct graph is A

The slope, 2, is a positive slope, which means that the graph will go left to right going up, which rules out graph B.

The y-intercept is 1, which means it will intercept the y-axis at point (0, 1). That rules out graph C.

This means that graph A is correct.

Hope it helps and have a great day!

Answer:

○ \(\displaystyle a\)

Step-by-step explanation:

From the y-intercept of \(\displaystyle [0, 1],\) you can either move two blocks south over one block west, or two blocks north over one block east. Either way, you are still using the rate of change [slope] correctly:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m\)

I am joyous to assist you at any time.

► \(\displaystyle -m =\) NEGATIVE RATE OF CHANGE

► \(\displaystyle m =\) POSITIVE RATE OF CHANGE

Given the Trigonometric Functions:

Using your calculator you get:

By definition, Secant is negative in Quadrant III.

Finds its Reference Angle as follows:

Because:

Then, you get:

Notice that:

Then, you can conclude that it is in Quadrant II.

Therefore its Reference Angle is:

So you can set up:

By definition:

Therefore, you can rewrite it in this form:

Hence, the answer is:

Looking at pattern A, the rate at which the number of dots in increasing is linear. The common difference between the number of dots in consecutive steps is 2. The sequence formed is

4, 8, 12.......

The common difference is 8 - 4 = 12 - 8 = 4

Thus, the number of dots in step 4 is

12 + 4 = 16

Looking at pattern B, the sequence formed is

2, 3, 6, 11

3 - 1 = 1

6 - 3 = 3

11 - 6 = 5

We can see that the difference between consecutive terms is increasing by a constant value, 2. This means that the difference between the fourth term and the third term is 5 + 2 = 7

Thus, the number of dots in step 4 is

11 + 7 = 18

b) A quadratic sequence is one in which the second difference between any two consecutive terms is constant. The constant value for the second difference in pattern B is 2

Thus, pattern B is shows a quadratic relationship

The result of the arithmetic expression as given in the task content is; 112.

It follows from the task content that the given expression is; 38 - (-74).

Hence, in a bid to solve the parentheses, the two negative signs are multiplied to yield a positive sign.

Ultimately, we have the result of the indicated operation as; 38 + 74 = 112.

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Note that:

\(\int f(x) \text{ } dx=-e^{-x/5}+C\)

Part (b)

\(\int^{1}_{0} f(x) \text{ } dx =-e^{-1/5}+e^{0} \approx 0.1813\)

Part (c)

\(\int^{\infty}_{0} f(x) \text{ } dx =1.0000\)

Part (e)

\(\int^{6}_{1} f(x) \text{ } dx \approx 0.5175\)

The probability  of receiving no right responses is roughly 0.2097, or about 21%.

In this scenario, each trial has 5 possible outcomes and the probability of a correct answer (success) is p=0.20, while the probability of an incorrect answer (failure) is q=1-p=0.80.

Since there are 7 independent trials and each trial can have two possible outcomes (success or failure), we can model this situation using the binomial distribution. The probability of getting no correct answers (7 failures) can be found using the binomial probability formula:

\(P(X = 0) = (n choose x) * p^x * q^(n-x)\)

where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.

In this case, we have:

\(P(X = 0) = (7 choose 0) * 0.20^0 * 0.80^7\)

= 1 * 1 * 0.2097

= 0.2097

Therefore, the probability of getting no correct answers is approximately 0.2097, or about 21%.

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Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:

\(y = A sin(Bx)\)

where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.

Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).

To find the amplitude, we need to determine the maximum and minimum heights of the function.

Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:

\(sqrt(300^2 + 160^2) \approx 340.6 feet\)

Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:

\(A = 340.6/2 \approx170.3 feet\)

To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.

Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:

\(P = 2(30) = 60 feet\)

Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

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Step-by-step explanation:

5-3a-1+2a

5-1-3a+2a

4-1a

Answer:

Step-by-step explanation:

\(\frac{15}{7} or \frac{26}{9}\)

Answer: -3

Step-by-step explanation:

3 × -3 = -9

-9 + -1 = -10

3(-3) - 1 = -10

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer: It's, 80+6>150

Step-by-step explanation:

Answer:

80+6x>150

The least amount of sales are 12

Step-by-step explanation:

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

Answer:

4.right

5. obtuse

6. acute

7. obtuse

8.acute

9. right

10. right

11. acute

12. obtuse

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

to be honest I'm not sure how to do

Answer:

-28

Step-by-step explanation:

f(-2)= (-2)(2) + 5(-2) - 14

f(-2)= -4 + (-10) - 14

f(-2)= -28

Answer:

Step-by-step explanation:

f(x) = x² + 5x - 14

f(-2) = (-2)² + 5(-2) - 14 = 4 - 10 - 14 = -20