Quadrilateral ABCD is shown on the coordinate plane.
What needs to be proven to conclude that quadrilateral ABCD is a parallelogram?
A
-6 -4 -2
B.
C.
O A. slope of AB = slope of CD and slope of BC = slope of DA
slope of AB= slope of BC and slope of CD= slope of DA
side length of BC= side length of DA and slope of DA x slope of AB = -1
OD. side length of AB= side length of CD and slope of BC x slope of CD=-1
6
4-
2+
-2-
4-
-6-
D
B
6
C
X

Answer:

Step-by-step explanation:

The value of the digit "3" in "156.32" is 3/10 (3 tenths). 10 times that value would be 3 (3/10 * 10 = 3). So now we need a number that has the digit "3" in it and the value of that digit is "3".

How about 143.26? The digit "3" is in the ones place and so its value is 3*1 or 3. The rest of the number is just made up, nothing special about any of the other numbers.

The value of digit 3 in 156.32 is 3/10 (3 tenths).

10 times that value would be 3 (3/10 * 10 = 3).

The face value of a digit is the magnitude that it possesses naturally. It is independent of the digit's position in the number.

The place value of a digit depends on its position in the number.

So now we need a number that has the digit 3 in it and the value of that digit is 3.

How about 143.26. The digit 3 is in the one place and so its value is 3*1 or 3.

The rest of the number is just made up, nothing special about any of the other numbers.

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Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

Hope this helps!

Answer:

1

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

x = 10

3x^2

= 3(10)^2

= 3(100)

= 300

Answer:

2,0?

Step-by-step explanation:

To do this, find your first derivative and then find where it is equal to zero. Because we are only concerned about the interval from -5 to 0, we only need to test points on that interval. (i really don't know hot to explain)

First the endpoints of this line segment are : (a, a) and (a, -a)

For a+0 the new endpoints will be :(a, a) and (a, -a) because only zero was added to each coordinate

The transformation that will retain these points will be;

Rx =0 (S) where you only add zero to the x,coordinate

The given statement is True.

What is conditional statement?

A conditional statement is a type of logical statement that has two parts: a hypothesis and a conclusion. The hypothesis is the "if" part of the statement, and the conclusion is the "then" part. The conditional statement asserts that if the hypothesis is true, then the conclusion must also be true.

The given statement is True.

This is an example of a proof by conditional statement. To prove a conditional statement of the form "If A, then B," you assume A and use deductive reasoning to show that B logically follows. In this case, you assume the antecedent (c ⊃ (i ≡ z)) and attempt to prove the consequent (f) within the scope of that assumption. If you are successful, then you have shown that the conditional statement is true.

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The given statement is True.

What is conditional statement?

A conditional statement is a type of logical statement that has two parts: a hypothesis and a conclusion. The hypothesis is the "if" part of the statement, and the conclusion is the "then" part. The conditional statement asserts that if the hypothesis is true, then the conclusion must also be true.

The given statement is True.

This is an example of a proof by conditional statement. To prove a conditional statement of the form "If A, then B," you assume A and use deductive reasoning to show that B logically follows. In this case, you assume the antecedent (c ⊃ (i ≡ z)) and attempt to prove the consequent (f) within the scope of that assumption. If you are successful, then you have shown that the conditional statement is true.

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a) To solve the recurrence relation an = an-1 + 3(n-1), a0 = 1, we can expand the recurrence relation iteratively.

a1 = a0 + 3(1-1) = 1 + 0 = 1

a2 = a1 + 3(2-1) = 1 + 3 = 4

a3 = a2 + 3(3-1) = 4 + 6 = 10

a4 = a3 + 3(4-1) = 10 + 9 = 19

...

We can observe a pattern from the values:

a0 = 1

a1 = 1

a2 = 4

a3 = 10

a4 = 19

We can notice that an = \(n^2 + 1.\) We can prove this by induction, but in this case, we can also recognize that the given recurrence relation generates the triangular numbers (1, 3, 6, 10, 15, ...), which are defined by the formula Tn = n(n+1)/2.

Thus, the solution to the recurrence relation is an = \(n^2 + 1.\)

b) For the recurrence relation an = an-1 + n(n-1), a0 = 3, we can again expand it iteratively:

a1 = a0 + 1(1-1) = 3 + 0 = 3

a2 = a1 + 2(2-1) = 3 + 2 = 5

a3 = a2 + 3(3-1) = 5 + 6 = 11

a4 = a3 + 4(4-1) = 11 + 12 = 23

...

Observing the values, we can notice that an =\(n(n^2 + 1).\)

Thus, the solution to the recurrence relation is an = \(n(n^2 + 1).\)

c) For the recurrence relation an = an-1 +\(3n^2\), a0 = 10, we expand it iteratively:

a1 = a0 + \(3(1^2)\) = 10 + 3 = 13

a2 = a1 + \(3(2^2) =\) 13 + 12 = 25

a3 = a2 + \(3(3^2)\)= 25 + 27 = 52

a4 = a3 + \(3(4^2)\)= 52 + 48 = 100

...

We can notice that an = \(n^3 + 10.\)

Thus, the solution to the recurrence relation is an = \(n^3 + 10.\)

These are the solutions to the given recurrence relations.

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Answer:

See below for answers and explanations to the first 5 problems

Step-by-step explanation:

Problem 1:

cos(x) = 2/3

sec(x) = ?

sec(x) = 1/cos(x)

sec(x) = 1/(2/3)

sec(x) = 3/2

Problem 2:

sinβ = -5/6

cscβ = ?

cscβ = 1/sinβ

cscβ = 1/(-5/6)

cscβ = -6/5

Problem 3:

secφ = 2

tanφ = √3

sinφ = ?

secφ = 1/cosφ

tanφ = sinφ/cosφ

tanφ = sinφ/cosφ

tanφ = sinφ(1/secφ)

√3 = sinφ(1/2)

2√3 = sinφ

Problem 4:

secθ = 8

tanθ = 3√7

cscθ = ?

secθ = 1/cosθ

tanθ = sinθ/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

tanθ = sinθ(1/cosθ)

3√7 = sinθsecθ

3√7 = sinθ(8)

(3√7)/8 = sinθ

cscθ = 1/sinθ

cscθ = 1/((3√7)/8)

cscθ = 8/(3√7)

cscθ = (8√7)/21

Problem 5:

sinθ = 2/√5

cosθ = 1/√5

tanθ = ?

tanθ = sinθ/cosθ

tanθ = (2/√5)/(1/√5)

tanθ = (2/√5)(√5)

tanθ = 2

Anwser: 41°

Okay so every triangle is 180° degrees in total.

We need to find the angle of x in the triangle BDC.

We know that the angle of x is 180 - ( x + 15)

We also have another triangle named BAD

Which angles are 90 + 56 + x

the angle of D in the triangle BDC is 180 -58 = 124

So 124 + 15 = 139

180 - 139 = 41

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

The answer is 10cm

Step-by-step explanation:

the ratio RQ:PQ=1:2

let the ratios be multiplied by x

1x:2x

but 2x=20

then x=10.

so the length is 10cm

To determine how long it will take Mary Corens to repay her student loan, we can divide the total loan amount of $15,000 by the annual repayment amount of $1,800. The result will give us the number of years it will take her to repay the loan.

it will take Mary approximately 8 years to repay the loan.

By dividing the total loan amount of $15,000 by the annual repayment amount of $1,800, we can calculate the number of years needed to repay the loan.

Loan amount: $15,000

Annual repayment: $1,800

Number of years = Loan amount / Annual repayment

Number of years = $15,000 / $1,800

Number of years ≈ 8.33

Since we are asked to round the answer to the nearest whole number, Mary will take approximately 8 years to repay the loan.

It's important to note that this calculation assumes a constant annual repayment amount of $1,800 throughout the entire loan repayment period. In reality, factors such as interest accrual and varying repayment schedules may affect the actual time it takes to fully repay the loan. Additionally, any changes to the annual repayment amount would also impact the duration of the loan repayment.

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The equation of the line passing through points (-1, 2) and (1, -1) is y = -1.5x + 0.5

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the slope of the line and b is the y intercept

The line given passes through the point (-1, 2) and (1, -1). The equation is:

y - 2 = [(-1-2)/(1 - (-1)](x - (-1)]

y - 2 = -(3/2)(x + 1)

y = -(3/2)x - (3/2)

y = -1.5x + 0.5

The equation of the line is y = -1.5x + 0.5

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Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color            observed frequency               relative frequency

Red                            15                                          3/10

Blue                           12                                          6/25

Green                         8                                           4/25

Yellow                        10                                          1/5

Purple                         5                                           1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a   results of an experiment.

Theoretical probability =  favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

                                                                                      experiment is performed The experimental probability  and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

So

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

Answer: A

Step-by-step explanation: it’s A for the lazy people

Answer: allways increasing

Step-by-step explanation:

the graph line has arrows on the ends and it looks like it will always be going up

Answer:

the correct answer is 8/9

The value of dy/dt at x = 4 and y = 3 is 4/9, obtained by using the relationship between the rates of change of the sides of the rectangle and substituting the given values.

To find the value of dy/dt at the instant when x = 4 and y = 3, we need to use the given relationship between the rates of change of the sides of the rectangle. We are given that dz/dt = 1 and dx/dt = 3dy/dt. We can rearrange the equation to solve for dy/dt: dx/dt = 3dy/dt, dy/dt = (dx/dt) / 3. Substituting the values x = 4 and y = 3 into the equation, we have: dy/dt = (4/3) / 3 = 4/9. Therefore, the value of dy/dt at the instant when x = 4 and y = 3 is 4/9.

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Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.

To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.

Total demand = 4,800 items

Items not available for the entire week = 250 items

Items available for only part of the week = 270 items

Therefore, the number of items available for the entire week can be calculated as follows:

Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week

                                = 4,800 - 250 - 270

                                = 4,280 items

The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:

In-stock probability = (Items available for the entire week / Total demand) * 100

                   = (4,280 / 4,800) * 100

                   = 89.1666...

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A regression model allows us to examine how the probability distribution of a dependent variable, Y, might be related to one or more independent variables (collectively called X). Therefore, the correct answer is (a) regression model.

A regression model is a statistical tool used to model the relationship between a dependent variable (often denoted as Y) and one or more independent variables (often denoted as X). It can help us understand how changes in the independent variables affect the values of the dependent variable, and can be used to make predictions or estimate values of the dependent variable based on specific values of the independent variables.

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if you could show us the picture then maybe i can help you

Answer: No

Step-by-step explanation: because 12 out of 24 is 1/2 while 9/20 is a bit off of one half therefore no

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

Answer:

24 (A)

Step-by-step explanation:

So we know 20%=20/100, reduced to 1/5.

1/5 of 30 is 6, meaning 6 students answered it incorrectly.

Therefore, 24 students answered correctly

Hope this helps :)

The probability that the average amount of paid time lost during a three-month period for the 100 blue-collar workers will exceed 1.5 days is null or 0.

We need to use the central limit theorem and assume that the distribution of the average amount of paid time lost during a three-month period for the 100 blue-collar workers is approximately normal with a mean of 1.8 days and a standard error of 0.2 days.

To find the probability that the average amount of paid time lost during a three-month period for the 100 blue-collar workers will exceed 1.5 days, we need to find the corresponding z-score and look up the probability in a standard normal distribution table or use a calculator.

The z-score can be calculated using the z score formula,

Putting the values in the calculator given in the problem, we get:

z = (1.5 - 1.8) / (0.2 / √(100)) = -7.5

Looking up the probability corresponding to a z-score of -7.5 in a standard normal distribution table or using a calculator, we get a probability of approximately 0.

Therefore, the probability that the average amount of paid time lost during a three-month period for the 100 blue-collar workers will exceed 1.5 days is approximately 0.

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Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

Answer:

C. 11

Step-by-step explanation:

So \(\sqrt[3]{125}\) + \(\sqrt[2]36\\}\) is 5 + 6 = 11

Step-by-step explanation:

I use a thing call

P-parenthesis

E-exponents

M D-Multiplication and division (Left to right)

A S- Addition and Subtraction (left to right)

We need to wait to use the exponents so 5x2=10, Add the 2 power to ten so 10^2.=100. 100^3.