Given: RT || SP, RQ ≅ QP, RP bisects ST at Q
Prove: ΔRQT ≅ ΔPQS

Triangles R Q T and P Q S are connected at point Q. Lines R T and S P are parallel. The lengths of lines R Q and Q P are congruent.
Tamir is working to prove the triangles congruent using SAS. After stating the given information, he states that TQ ≅ QS by the definition of segment bisector. Now he wants to state that ∠RQT ≅ ∠PQS. Which reason should he use?

alternate interior angles theorem
corresponding angles theorem
linear pair postulate
vertical angles theorem

Answers:

BD = 6

AC = 7.5

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Work Shown:

BD/BA = BE/BC

x/9 = 4/6

6x = 9*4

6x = 36

x = 36/6

x = 6

BD = 6

---------

DE/AC = BE/BC

5/y = 4/6

5*6 = y*4

30 = 4y

4y = 30

y = 30/4

y = 7.25

AC = 7.5

Answer:

1 sick chick FIL a have to be there by the time

Answer:

B is the correct choice.

Explanation:

r = 4sin∅, a = 4, R = 2

[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]

Plot these points.

Answer:

Your answer is: 36!

Step-by-step explanation:

Hope this helped :)

The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%

The distance ran are given as:

Initial = 5 laps

Final= 9 laps

The percentage increase is calculated using:

Percentage = (Final - Initial)/Initial

So, we have:

Percentage = (9 - 5)/5

Evaluate

Percentage = 0.8

Express as percentage

Percentage = 80%

Hence, the percentage increase is 80%

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Answer:

[tex]CI=\{-0.2941,-0.0337\}[/tex]

Step-by-step explanation:

Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}[/tex] where [tex]\hat{p}_1[/tex] and [tex]n_1[/tex] are the sample proportion and sample size of the first sample, and [tex]\hat{p}_2[/tex] and [tex]n_2[/tex] are the sample proportion and sample size of the second sample.

We see that [tex]\hat{p}_1=\frac{87}{249}\approx0.3494[/tex] and [tex]\hat{p}_2=\frac{58}{113}\approx0.5133[/tex]. We also know that a 98% confidence level corresponds to a critical value of [tex]z^*=2.33[/tex], so we can plug these values into the formula to get our desired confidence interval:

[tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}[/tex]

Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}

The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.

Answer:

15

Step-by-step explanation:

15-6=9 so a-6=9

Answer:

17

Step-by-step explanation:

17-6=9 (to double check your work and make sure it's right you do the opposite [9+6=17] )

See attachment for the graph of g(x) = 1/2x^2

The equation of the function is:

g(x) = 1/2x^2

The above function is a quadratic function that has only one term

Next, we plot  the graph using a graphing tool

See attachment for the graph of g(x)

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Answer:

$2,142

Step-by-step explanation:

7% of 18,600 is 1,302

Add this to 840 and you get a total of $2,142

Commission is $1,302

Gross pay is $840

The equation here can be described to be a circle.

We have the following equations

x = 5cos(t) - 7, and

y = 5sin(t) + 9

When rearranged we have

x + 7 = 5cos(t),

y - 9 = 5sin(t)

Square both equations

(x + 7)² = 25cos²(t), and

(y - 9)² = 25sin²(t)

Sum the equations

(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)

(x + 7)² + (y - 9)² = 25

(x + 7)² + (y - 9)² = 5²

The equation above is that of a circle. The radius is 5 units. The center is (-7,9)

The formula for the equation of a circle is

(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²

The equation can be described as a circle.

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Answer: cirlce

Step-by-step explanation:

did it

Answer: 43

Step-by-step explanation: subsitute -2 into x

4(-2)^2 - 7(-2) + 13 = 43

Answer:

There is a slight difference but the result is the same.

In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.

In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.

Both notations mean ‘the function which is the differential of function y by x

Answer:

The number of years the fixed interest rate will be applied to the loan

Step-by-step explanation:

I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)

Answer:

yes

Step-by-step explanation:

yes they are i can see this because, 4/8 is the same as 1/2.

I know this because if you reduce 4/8, you will get 1/2.

Answer:  2y = 3x

Reason:

The equation x:y = 2:3 is the same as saying x/y = 2/3

Cross multiply to get 3x = 2y which flips to 2y = 3x

Answer:

Part 1: See below ↓↓

You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.

Number of blocks=1,450 feet * (1 block/2 feet)

Number of blocks = 725 blocks

Part 2 (kinda work)

What I did was I divided 1,450 by 5 and I got 290 so you would have to use 290 blocks to build the Empire State building out of blocks. The scale factor is 1 block per 5ft

Step-by-step explanation:

14 and 15

which number multiplies to 14 and add up to 15.

[tex]1 + 14 = 15[/tex]

[tex]1 \times 14 = 14[/tex]

[tex] = 1[/tex]

therefore, the number which multiplies to 14 and add up to 15 is 1

= 1

because,

14×1 = 14

14+1= 15

Answer:

the answer is figure A and C

Based on the graph given, the option that will show the same amplitude as function m is graph D.

The cosine function is seen as:

f(x) = A*cos(kx) + M

And the functions are:

When the function is m(x) = -2*cos(x+π).

The absolute value of the amplitude will be 2*|-2| = 4

Therefore, the option that can have the requirement above is graph D.

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Answer:

(4,1)

Step-by-step explanation:

After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)

Answer:

Sample statistic

Both the mean and the median can be used to describe where the “center” of a dataset is located. It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers. It’s best to use the median when the distribution of data values is skewed or when there are clear outliers.

Answer:

-5

Step-by-step explanation:

3 - 9 + 1 = -6 + 1 = -5

Hope this helped! I would appreciate a Brainliest!

(BTW, if you can, can you please answer my question? It's due today!)

Answer:

Y = 27

Step-by-step explanation:

In the equation (y = 12 + 5x) the X is the independent value. When you replace this by 3 you will multiply 3*5 which will give you 15 and then you will want to add 12 as that is your y intercept. Giving the value of your Y a 27, or the point would be (3,27)

Answer:

First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.

Answer:

6

Step-by-step explanation:

Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6

An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are F and C.

An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:

Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.

Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.

Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.

Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.

The points that are true about the given scatter plot are:

F.) A cluster appears to be at the bottom left corner.

C.) There appears to be a positive association.

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Answer:

6 days

Step-by-step explanation:

Relation :

6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.

Solving :