Give Line SV parallels Line TU and Triangle SVX =~ Triangle UTXProve: VUTS is a parallelogramWrite a Paragraph Proof.

Find the probability that the respondent will choose "somewhat likely". Divide the number of respondents who chose the option by the total number of respondents.

Since we need to find the probability of the complement of "somewhat likely", subtract the obtained probability from 1.

First let's remember what a Rational number is. A Rational number is that one that can be written in this form (as a fraction):

Where "a" is the numerator and "b" is the denominator.

Integers include negative numbers and, positive numbers and zero. For example, these are Integers:

An Integer is always a Rational number, because it can be written as a fraction with denominator 1:

Then:

A Rational number that is not an Integer is different from a Rational number that is an Integer, because the first one must be written with a denominator. For example:

but the second one can written showing only the numerator (because it is know that all Integers have denominator 1):

Therefore, all Integers are Rational numbers, but a Rational number is not always an Integer.

SOLUTION:

Step 1:

An adult's ticket costs $11

A child's ticket costs $6

The number of Adult's tickets sold is x

The number of Children's tickets sold is y

The total number of tickets sold is 60

The total amount of sales made is $460

Step 2:

We need to form two equations based on the information given in the question;

The price of the house is $29900

At first you paid 20% of that price, to calculate how much the down payment was you have to do as follows:

The down payment was $59800 and there are $299000-$59800=$239200 left to pay.

From this $239200 you have to calculate the interest rate:

$239200*0.0425= $10166 → this represents the total interest rate you'll pay

This is a 30 year loan, which means you'll pay

30*12=360

for 360 months

Divide the principal payment $239200 by 360 to calculate the monthly fee:

Do the same with the total interest rate:

Monthly you'll pay $664.44 plus $28.24 of interest, that adds up for a total of $692.68

a)

The minimum happens at the end of the left whisker of the box plot, from the graph we notice that his happens at five. Therefore, the minium amount of snow in any of the cities was 5.

b)

The data is more concenrtated in the second quarter (from the median to the third quartile) this comes from the fact that the length of this part of the block is smaller compared to the second quarter.

c)

The data is more spread out in the second quarter (from the second quartile to the median); this comes from the fact that the length of that part of the box is larger than any other part of the plot

From the Venn diagram shown above we notice that the conclusion is false. This comes from the fact that even if all queens are women not all women are quenss.

see the attached figure to better understand the problem

the angle between the two vectors is x and the vertex is R

Answer:

3 1/24

Step-by-step explanation:

1.

The shelves can be assumed to be straight lines, and as straight lines have a 180° angle, then:

We know the value of m∠2. Thus, we can replace it and solve for m∠1:

2.

If we can suppose that the top and middle shelves are cut by a transversal, then ∠1 and ∠5 are corresponding angles.

3.

When two parallel lines are cut by a transversal, they form corresponding angles, and these are equal in measure. Therefore, as:

Then we can say that the top and middle shelves are parallel.

4.

As m∠11 = m∠2, we can say that they are alternate exterior angles, which are formed when parallel lines are cut by a transversal. Therefore, the bottom shelf is parallel to the top shelf.

5.

Finally, we can see that as m∠11 = 120°, we are in the same situation as in question 1, for which we conclude that m∠9 = 60°. Now, we have the same situation as in question 2, in which m∠5 and m∠9 are corresponding. Thus the bottom shelf is parallel to the middle shelf.

you must first get the variables on the same side of the equal sign. It yields,

if we also pass the constant 8 to the right hand side, we have

Hence, the left and right hand sides are equal to

hence, we have

since minus times minus is plus, we obtain

and it can be reduced to

Finally, the answer is

Answer:

y= 1/3

Step-by-step explanation:

Given;

Then, we can find the point estimation as;

Thus, the margin of error E is;

A 95% confidence interval for population proportion p is;

The lower bound is;

The upper bound is;

Answer:

63 square meter

Explanation:

Area of the parallelogram = Base * Height

From the given diagram;

Base = 9m

Height = 7m

Area of the parallelogram = 9m * 7m

Area of the parallelogram = 63 square meter

We have a class of a total of 267 students.

The professor has a sample of 59 students, where 22 of them did not complete their essays.

This equals a proportion of:

If this sample is representative of the class, we can use this proportion to estimate how many students did not complete the essay.

To do that we multiply the total number of students by the proportion we have just calculated:

Answer: it can be estimated that approximately 100 students did not finish their essay.

Notice that the line passes through the point (0,1) and the point (3,-1). Then, we have the following:

now we can find the equation of the line using the slope and the y-intercept:

therefore, the equation of the line is y=-1/3x+1

SOLUTION

The correct option is A

Points with coordinates (x,y) on a graph can also be expressed thus:

So with the above explanation, we can answer the question.

The point (-3,-5) on the graph means that x=-3 and y=-5

So it can be expressed as a function in the form:

The correct option is A

The vertices B, C and D form a right triangle.

Knowing 2 sides of the tright triangle, like BD and BC, we can find the length ofthe third side, DC, using the Pythagorean theorem: the sum of the squares of the length of the legs, DC and BC, is equal to the square of the length of the hypotenuse BD.

Replacing with the values, we can calculate DC:

Answer:

The correct options are

A: 80

B: Pythagorean theorem

Given

Total number of members = 22

Find

Possible ways of selection of president, a secretary and a treasurer

Explanation

As we know , the number of possible ways of selection is given by

there are three members required so , r = 3

now , substitute the values in above equation

Final Answer

Possible ways of selection of president, a secretary and a treasurer = 9240

Explanation:

We can do a diagram of triangle CDE:

The sum of the measures of the interior angles of any triangle is 180º. We can write an equation:

Solve for x:

And with x = 15, replace into the expression for the measure of angle C to find it:

Answer:

m

Part A.

The composition of f ang g is given by

where we have inserted 3x-7 in the place of x in function f. Then, we have

Therefore, the answer is

Part B

Similarly to the previous case, we have

which gives

then, the answer is

Part C.

In the first case, x belongs to the domain of g and g(x) belongs to the domain of f. Then, the domain of the composition (fog)(x) is all real numbers.

Similarly, in the second case, x belongs to the domain of f and f(x) belongs to the domain of g. Then, the domain of the composition (gof)(x) is all real numbers. Then, the domains are the same (all real numbers).

The pie chart provides the following information;

The sum of angles in a circle is 360 degrees.

Thus, we have;

Then;

(a)

(b)

Solution

Therefore the correct answer is

The polar form of a complex number

The rectangular form of a complex number

Solving Angle Problems.

It follows therefore that

The correct answer is the measure of angle P is 32 degrees

Answer:

Explanation:

Here, we want to write the given number in standard notation

The form we have given, is the scientific notation

To write in the standard form, we consider the scientific notation as they are the same

We have the standard notation as:

To solve this system of linear equations using the elimination method, first, add both equations:

Now solve for y dividing by 7 on both sides of the equation:

Finally, replace the value of y in any of the initial equations, for example in equation 1

Therefore, the solution of the system of equations is

Answer:

Explanation:

Given the equation:

To determine its graph, check the graph that corresponds to the x and y-intercepts of this line.

When x=0

We start by calculating the difference between the expected measured value and the value measured by Gary:

8.4 ft - 5.6 ft = 2.8 ft

Now we estimate what 2.8 ft is of the actual measurement 8.4 ft. That is:

2.8 / 8.4 = 0.33333... this is written in percent form as: 33.33%

This is the percent error.

1.- Determine the vertex...

2.- The axis of symmetry...

3.- The y-intercept...

4.- Plot a point...

5.- Plot another point...

The above is the correct order of the cards, now the reason for that first you have to find the vertex. Now, the axis of symmetry is a straight line that passes through the vertex. Later you have to find another 2 points reflected by the symmetry axis and finally construct the graph.

Given:

To divide the decimals, we must take care of the decimal points

So, we will divide it as follows:

So, the answer will be 0.27 ÷ 0.9 = 0.3

In order to determine the number of thermos, divide by 3 by 2/3, as follow:

the previous result means that nalli can make four and one hal thermoses with 3 cups of cocoa powder.