please help me solve for the slope of the graph

The complete statements are,

 Statement                                              Reasons

1) ABCD is an isosceles trapezoid.                Given

AB || CD, AD ≅ BC

2) ∠DAB ≅ ∠CBA                                 Base angle of an isosceles

                                                            trapezoid are congruent.

3) AB ≅ AB                                        Symmetry property of congruence

4) ΔDAB ≅ ΔCBA                              By SAS congruence theorem

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Jorge wants to prove that the diagonals of an isosceles trapezoid are congruent by proving that triangle DAB is congruent to triangle CBA.

Now, Prove by correct statements are,

 Statement                                              Reasons

1) ABCD is an isosceles trapezoid.                Given

AB || CD, AD ≅ BC

2) ∠DAB ≅ ∠CBA                                 Base angle of an isosceles

                                                            trapezoid are congruent.

3) AB ≅ AB                                        Symmetry property of congruence

4) ΔDAB ≅ ΔCBA                              By SAS congruence theorem

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ1

Answer:  B    3x\(\sqrt{2xy}\)

Step-by-step explanation:

\(\sqrt{18x^{3}y }\)                             > break up into perfect squares

=\(\sqrt{2(9)x^{2} xy}\)                       >√9=3   and        √x² =x

=3x\(\sqrt{2xy}\)

The method that converts time in hours, minutes, and seconds to seconds only can be written as follows:public static int timeTo Hawaii(int hours, int minutes, int seconds) {int totalSeconds = 0;total Seconds = (hours * 3600) + (minutes * 60) + seconds;return total Seconds;}.

This method takes the time in hours, minutes, and seconds and converts it to seconds and returns the result as an integer. The formula used for the conversion is:totalSeconds = (hours * 3600) + (minutes * 60) + seconds;Here, hours are converted to seconds by multiplying by 3600, minutes are converted to seconds by multiplying by 60, and seconds are added as is.

Example input/output:Please enter the number of hours: 1Please enter the number of minutes: 1. Please enter the number of seconds: 11 Hour(s) 1 Minute(s) 1 Second(s) is equivalent to 3661 Second(s).

Learn more about public static:

https://brainly.com/question/29971001

#SPJ11

Yes, this relation is a function and here the domain and range are:

domain = {3,6,2,-7} and range ={0,-2,-1,0}

Domain and Range:

The domain and scope of a function are part of the function. The domain is the set of all input values ​​of a function, and the range is the possible outputs given by the function. Field → Function → Sequence. If there is a function f : A → B such that each element of set A corresponds to an element of set B, then A is the field and B is the codomain. The graph of an element "a" under a relation R is given by "b", where (a,b) ∈ R.

The scope of the function is the set of images. The domain and range of a function are usually expressed as:

Domain(f) = {x ∈ R: State} and range(f)={f(x): x ∈ domain(f)}

According to the Question:

The given function is:

{(3,0),(6,-2),(2,-1),(-7,0)}

It is a function as every input has a single output.

So, 3,6,2,-7 are the elements of the domain of the given relation.

Here domain = {3,6,2,-7} and range ={0,-2,-1,0}

Therefore, this relation is a function.

Learn more about Domain:

https://brainly.com/question/13113489

#SPJ4

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

The number of populations or treatments being compared in single factor ANOVA is represented by the capital letter "k."

Single factor ANOVA is a statistical technique used to compare the means of two or more populations or treatments. The number of populations or treatments being compared is denoted by the letter "k," which represents the number of levels or groups in the independent variable. The one-way ANOVA test is used when there is only one independent variable, and it is used to test the null hypothesis that the means of all the populations or treatments are equal. The ANOVA test calculates the variance within each group, as well as the variance between the groups, and uses this information to determine if there is a significant difference in means between the groups. The number of populations or treatments being compared is an important parameter in ANOVA because it affects the degrees of freedom, which in turn affects the critical value and the p-value used to determine statistical significance.

Learn more about variance here: https://brainly.com/question/5130339

#SPJ11

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

To learn more about the midpoint;

https://brainly.com/question/28224145

#SPJ4

The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.

The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.

Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.

Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377

Total number of phone numbers = 10000 + 10000

Total number of phone numbers = 20000

Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

Learn more about prefix visit:

brainly.com/question/14161952

#SPJ11

Answer:

\(\textsf{1.} \quad s=\dfrac{8r}{9}\)

\(\textsf{2.} \quad s=4\)

\(\textsf{1.} \quad x=y(w+z)\)

\(\textsf{2.} \quad x=10\)

Step-by-step explanation:

Question 1

1.  Solve for s:

\(\implies 2r = \dfrac{5s}{2}-\dfrac{s}{4}\)

\(\implies 2r = s\left(\dfrac{5}{2}-\dfrac{1}{4}\right)\)

\(\implies 2r = s\left(\dfrac{10}{4}-\dfrac{1}{4}\right)\)

\(\implies 2r = s\left(\dfrac{9}{4}\right)\)

\(\implies 4(2r) = 9s\)

\(\implies 8r = 9s\)

\(\implies s=\dfrac{8r}{9}\)

2.  When r = ⁹/₂ :

\(\implies s=\dfrac{8\left(\frac{9}{2}\right)}{9}\)

\(\implies \dfrac{8}{9} \times \dfrac{9}{2}\)

\(\implies \dfrac{8 \times9}{9 \times2}\)

\(\implies s=\dfrac{72}{18}\)

\(\implies s=4\)

Question 2

1.  Solve for x:

\(\implies w=\dfrac{x}{y}-z\)

\(\implies w+z=\dfrac{x}{y}\)

\(\implies y(w+z)=x\)

\(\implies x=y(w+z)\)

2.  When x = -8,  y = -5,  z = 6:

\(\implies x=-5(6+(-8))\)

\(\implies x=-5(6-8)\)

\(\implies x=-5(-2)\)

\(\implies x=10\)

Answer:

y-5=2.5(x-2)

Step-by-step explanation:

Slope-point form -> y-y₁=m(x-x₁)

When (x₁,y₁) is (2,5) -> y-5=2.5(x-2)

Answer:

\(\angle FCB\)

Step-by-step explanation:

Supplementary angles are angles that sum to \(180^{\circ}\). In this case, \(\angle FCB\) is supplementary to \(\angle DCF\) since they add up to the angle of a straight line which is \(180^{\circ}\).

Hope this helps :)

Answer:

40 its c

Step-by-step explanation:

Answer:

21

Plz mark me brainliest

Step-by-step explanation:

Answer:21 students were on each bus.

Step-by-step explanation:

215-5=210

210/10=21 the number of students divided by the number of buses

Answer: X=10

Step-by-step explanation:

Answer:

The slope of the side xy is -2

Step-by-step explanation:

To find the slope of the side xy, we use the slope formula

we have the formula as;

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

(x1,y1) = (-1,3)

(x2,y2) = (0,1)

m = (1-3)/(0 + 1) = -2/1 = -2

Answer:25%

Step-by-step explanation = 5/20

5 divided by 5 =1

20 divided by 5 = 4

= 1/4

1 divided by 4 = 0.25

0.25  x 100 = 25%

Answer:

4

Step-by-step explanation:

\(5 \div 20 = 4\)

Answer:

The answer is 4

Step-by-step explanation:

Given,

\(x=-2,\,y=6\)

Now, the expression

∴\((x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4\)

hope you have understood this...

pls mark my answer as the brainliest

Answer:

3x+y

Step-by-step explanation:

hope this helps!

Answer:

268.08

Step-by-step explanation:

V = \(\frac{4}{3}\) π r³

Answer:

Since Marshall gives away 13 buttons out of b buttons, it means that b is an expression of a number which is greater than 13. Therefore,the answer is b - 13.

Answer: 56%

Step-by-step explanation:

Pot A

75% = 0.75

12 times 0.75 = 9 seeds sprouted

Pot B

50% = 0.5

20 times 0.5 = 10 seeds sprouted

Pot C

50% = 0.5

18 times 0.5 = 9 seeds sprouted

Add total; we get 28 seed sprouted

Then we take 28 divided by 50, times 100% = 56%

So, 56% of the seeds from the packet sprouted!

Answer:

He got $2.04 back

Step-by-step explanation:

5.98

+ 1.98

_____

= 7.96

10 - 7.96 = 2.04

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

To learn more about Probability visit :

brainly.com/question/13490624

#SPJ4

Answer:

40+52

Step-by-step explanation:

The equation 2y  = 10x - 16 in standard form is  10x - 2y = 16 where A = 10, B = - 2 and C = 16

Linear equation can be represented in various form such as general form, standard form, slope intercept form and point slope form.

Therefore, linear equation in standard form can be represented as follows:

Ax + By = C

where

Therefore, let's write 2y  = 10x - 16 in standard  form.

2y  = 10x - 16

Hence,

10x - 2y = 16

Therefore,

A = 10

B = - 2

C = 16

learn more on standard form here:https://brainly.com/question/15525705

#SPJ1

Waddup

Answer:

Your answer is 2.5/5

Step-by-step explanation:

Given Function:

2 3/15

3/15=1/5

1/5=nearest half=2.5/5

Therefore, 2 3/15 rounded to the nearest half is 2.5/5.

adiós

The probability P(X > 95) for a normally distributed random variable X is approximately 0.211.

To compute the probability P(X > 95) for a normally distributed random variable X with a mean of 80 and a standard deviation of 12, follow these steps:

1. Convert the raw score (95) to a z-score using the formula:
z = (x - mean) / standard deviation
z = (95 - 80) / 12
z ≈ 1.25

2. Use a standard normal distribution table or a calculator to find the area to the right of the z-score, which represents P(X > 95).
For z ≈ 1.25, the area to the right is ≈ 0.211

So, the probability P(X > 95) for a normally distributed random variable X with a mean of 80 and a standard deviation of 12 is approximately 0.211.

Learn more about probability

brainly.com/question/29381779

#SPJ11

To find the radius of a cylindrical can that contains 1728 cm³ of water while using the minimum amount of metal, we need to minimize the surface area of the can.  

The surface area of a cylindrical can is given by the formula A = 2πr² + 2πrh, where r is the radius and h is the height.

We can express the height in terms of the volume and radius by using the formula V = πr²h. Rearranging the formula, we have h = V / (πr²). Substituting this into the surface area equation, we get A = 2πr² + 2πr(V / (πr²)). Simplifying further, A = 2πr² + 2V / r.

To minimize the surface area, we take the derivative of A with respect to r and set it equal to zero. Differentiating and solving for r, we find r = ∛(3V / (4π)). Substituting the given volume of 1728 cm³ into the formula, we get r = ∛(3 * 1728 / (4π)) ≈ 6 cm.

Therefore, the radius of the cylindrical can that contains 1728 cm³ of water while using the minimum amount of metal is approximately 6 cm.

To know more about radius click here: brainly.com/question/13449316

#SPJ11

Answer:

the answer of this question is C