Find the value of x and y if DEFG is congruent to SPQR

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SOLUTION

The sequence progresses by the addition of 1 to both numberator and denominator.

The next number is 4/6.

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

Solving Angle Problems.

It follows therefore that

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

The given slope is:

And the point:

we label the coordinates as follows:

And now, we use the slope-point formula, which is:

substituting the known values of slope m and the point:

We need to solve this for y to find the slope intercept form (which is y=mx+b):

The slope-intercept form is:

y = -6x - 40

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;

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;

Hello there. To solve this question, we'll have to remember some properties about percents.

We start with percent of increase: it is the difference between how much a thing is from another and 100%.

Now, to calculate this amount, we take the ratio of the numbers. In this case, the cost of a pound of nails.

Knowing it increased from $2.03 to $2.19, we calculate:

2.19/2.03 = 1.079

Multiply by 100% to find its amount in percent

1.079 * 100% = 107.9%

Now, we simply take the difference:

107.9% - 100% = 7.9%

Rounding this percent to the nearest whole-number percent, we get:

8%

Given the function:

we can find f(3) by making x = 3 and solving for the term f. In this case, we have the following:

therefore, f(3) = -60

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.

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:

Answer:

3 1/24

Step-by-step explanation:

t = P/r

The given equation is:

P = rt

To solve for t by dividing both sides by r

Therefore:

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.

Answer:

50km

Step-by-step explanation:

We know that every minute we travel .5 km....  

[tex]\frac{1 min}{.50 km}[/tex]

But we want to know how far we traveled in 25 mins

[tex]\frac{25 mins}{? km}[/tex]    

So we go and do....

[tex]\frac{1 min}{.50 km} * \frac{25 mins}{? km}[/tex]

Then we have to divide 25 by .50

[tex]\frac{25 mins}{.50 km}[/tex]

Which Gives us

50 so he traveled 50km

Answer:

12.5km

Step-by-step explanation:

Hey! Let's help you with your question here!

We can begin by figuring out what we know!

What we don't know is the distance traveled based on the given time. Now, what do we do? Well, we already know that the bicycle is traveling at a distance of .50km per minute and it takes us 25 minutes to get to the library. All we need to do here is take the distance per minute and multiply it by the total amount of minutes it takes to reach the destination. It would look something like this:

[tex]=(0.50km/s)*25[/tex]

[tex]=0.50*25[/tex]

[tex]=12.5[/tex]

Therefore, we can see that if we travel at a distance of .50km/min for 25 total minutes, we get a final distance of 12.5km.

Given:

A card is selected from a standard deck of cards.

Required:

We need to find the probability of selecting a King or an even card.

Explanation:

The sample space =the total number of cards = 52.

Let A be an event of selection a king.

The number of cards that is king = 4.

The favourable outcomes =The number of the card king

The probability of selecting a king

Let B be an event of selection an even card.

There are 5 even values (2,4,6,8,10) and 4 of each in the deck.

The number of cards that is even card=20.

The favourable outcomes =The number of the even card

The probability of selecting an even card

The probability of selecting a King or an even card is

Final answer:

The probability of selecting a King or an even card 6/13.

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

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

Answer:

(-3/5, 4/5)

Explanation:

Given the system of equations:

First, we substitute y=2x+2 into the first equation to obtain:

We solve the derived quadratic equation for x,

We then solve for the corresponding values of y using any of the equations.

Therefore, the solutions o this system are:

(-1,0) and (-3/5, 4/5).

The other solution is (-3/5, 4/5).

Solution

Given a triangle FDH with E, G and H the midpoints of the sides of the triangle

Considering the figure EGHK,

Line EG is parallel and equal to line KH

Line, EK is parallel and equal to line GH

This is a feature of a parallelogram i.e two pair of opposite sides of a parallelogram are parallel and equal

∠GEK is equal to ∠GHK and ∠EGH is equal to ∠EKH

This is a feature of a parallelogram i.e

Answer: X= -5/7

Step-by-step explanation:

4(-5x-6)=4(9x+4)

-20x-24=4(9x+4)

-20x-24=4(9x+4)

-20x-24=36x+16

Then add 24 to both sides:

From the given cooridnate values, we can see that the linear regression model is given by:

the line

If a and b denote the slope and y-intercept then , by comparing with the given solution, we can note that the slope (a) is incorrect. It must be 2.5 instead of -2.5. Therefore, the answer is option D

see the attached figure to better understand the problem

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

Explanation

we will begin by finding the mean and median of the data set

The mean is simply the average of the set, which will be

The median is

Thus, we have the median as 5

To check which is a better measure, we will have to check the skewness

The skew value is 1.51

This means it is positively skewed

Thus

If the distribution is positively skewed then the mean is greater than the median which is in turn greater than the mode.

Therefore, the answer is

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.

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 information given, the number of outcomes from 20 trials are

Red = 7

Yellow = 6

Blue = 7

From the outcomes, since the number of outcomes for red and blue are equal, it means that the number of red and blue faces would be the same. The only option where they are the same is the last option. Since the total number of faces is 6, the remaining face which is yellow is possibly 2. Thus, the correct option is

The cube has 2 red faces, 2 blue faces and 2 yellow faces

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

The pie chart provides the following information;

The sum of angles in a circle is 360 degrees.

Thus, we have;

Then;

(a)

(b)