A right angle intersects a line at point M.

A right angle intersects a vertical line at point M and forms 3 angles. From top to bottom going clockwise, the angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?

They are congruent.
They are right angles.
They are complementary.
They are supplementary.

The balance point of the dataset is the mean of the dataset

The balance point of the dataset is 20

From the dataset, we have the following frequency table

Data (x)     Frequency (f)

15                    2

24                   1

26                  1

The balance point of the dataset is the mean value of the dataset, and the mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

This gives

[tex]\bar x = \frac{15 * 2 + 24 * 1 + 26 *1}{2 +1+1}[/tex]

Evaluate the sum

[tex]\bar x = \frac{80}{4}[/tex]

Evaluate the quotient

[tex]\bar x = 20[/tex]

Hence, the balance point of the dataset is 20

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Answer:

Exact: [tex]4\sqrt{55}[/tex] m

Approximate: 29.7 m

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

[tex]9^2+b^2=(31\sqrt{5} )^2[/tex]

[tex]81+b^2=31^2(5)[/tex]

[tex]b^2=961-81[/tex]

[tex]b=\sqrt{880} =4\sqrt{55}[/tex]

[tex]4\sqrt{55}[/tex] ≈ 29.7 m

Hope this helps!

Answer: 4

Step-by-step explanation:

4 times 2 is 8 if you make 4 eighths you will get 1/4 a

Answer:

62.25=35+3x

62.25-35=27.25

27.25=3x

divide both sides by 3

x=9.08 or just 9

Answer:

7m

Step-by-step explanation:

product means multiplication

7×m = 7m

Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.

First find the number of bills left when the third computer joined:

= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)

= 1,300

Then the average speed of all three computers is:

= 160 + 160 + 200

= 520 bills per minute

The time taken to finish up the other bills would be:

= 1,300 / 520

= 2.5 minutes

Add this to the minutes already elapsed before the third computer was used:

= 2.5 + 1.5

= 4 minutes

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51/5 × 17/4 ×2

=51/5 ×17/2

= 867/10

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Answer:

Option a!

Step-by-step explanation:

inverse means opposite:

First part of the statement:

If I studied for it

(opposite)

If I did not study for it

Second:

I did well on the exam

(opposite)

I did not do well on the exam

Hope this makes sense.

- profparis

Answer:

D. 48 feet

Step-by-step explanation:

Ladder (50 ft) = hypotenuse

Floor distance (14 ft) = b

Wall (unknown) = a

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+14^2=50^2[/tex]

[tex]a^2+196=2500[/tex]

[tex]a^2=2500-196[/tex]

[tex]a=\sqrt{2304}[/tex]

[tex]a=48[/tex]

Hope this helps!

Answer:

48 feet

Step-by-step explanation:

Here,

c = 50 ft

b = 14 ft

To find : the height of the wall that the ladder reaches ( a ) = ?

Formula : -

a² + b² = c²

a² = c² - b²

= 50² - 14²

= ( 50 x 50 ) - ( 14 x 14 )

= 2500 - 196

= 2304

= 48 x 48

a² = 48²

a = 48 feet

Answer: 800

Step-by-step explanation:

Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.

Answer:

Zero, based on the information provided.

Step-by-step explanation:

The output rate of the teller machine is (1 transaction/6 minutes).  The input rate is (1 customer/10 minutes).  This means that the machine completes a cycle faster than the customers arrive, on the average.  I don't know how an average can be calculated without more information.  If we assume customers arrive every 10 minutes, and no one screws up the machine, that there should be no waiting line.   Is there more information about when the customers arrive?  E.g., 50 arrive in the first hour the machine is open.

If the average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. The average number of customers in the queue is: B. 0.900 customers.

M represent Markovian (memoryless) arrivals and service times

1 represents a single server.

Arrival rate (λ) is 1 customer every 10 minutes and the service rate (μ) is 1 customer every 6 minutes.

The formula to determine the average number of customers in the queue (Lq) is:

Lq = (λ^2) / (μ * (μ - λ))

Plugging in the values:

λ = 1/10

μ = 1/6

Lq = ((1/10)^2) / ((1/6) * ((1/6) - (1/10)))

Lq = (1/100) / ((1/6) * (10 - 6)/60))

Lq = (1/100) / ((1/6) * (4/60))

Lq = (1/100) / ((1/6) * (1/15))

Lq = (1/100) / (1/90)

Lq = (1/100) * (90/1)

Lq = 90/100

Lq = 0.9

Therefore, the correct option is B.

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If Aja was approved for a $185,000 mortgage is true Aja's closing costs are between $3,700 and $12,950.

This is the amount of money paid for the mortgage settlement or closing.

The closing costs are equal to 2-7% of the cost of the loan.

185,000 x 0.02 = $3700 (2%)

185,000 x 0.07 = $12,950 (7%)

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Answer:

her balance aka ADB would be 372.08

It looks like your question is incomplete. I believe you also have options to pick which graph is correct. However, I can still give you the information you are looking for.

The slope of the line is -1.2

The Y-intersect is (0, 4)

I have also attached an image of what the graph would look like.

Hope this helps.

Answer:

8+88+16x

4=x

Step-by-step explanation:

just reverse it lol

Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3

Draw a number line and find three equal points

so points:

Answer:

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Step-by-step explanation:

Given information:

Therefore, there are 4 segments of equal distance between points O and P.    

Length of OP = 3 - 0 = 3

⇒ Length of each segment = 3/4

To find the point of Q, R and S, add 3/4 to each point:

   Point O = 0

⇒ Point Q = 0 + 3/4 = 3/4

⇒ Point R = 3/4 + 3/4 = 3/2

⇒ Point S = 3/2 + 3/4 = 9/4

   Point P = 9/4 + 3/4 = 3

Therefore,

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Answer:

47.6 euros

Step-by-step explanation:

68 x .70 = 47.6

.70 = 70%

70% of 68

of means multiply

You turn the percent into a decimal and multiply

Probability and statistics are two branches of mathematics that are used to calculate the possibility of occurrence of an event or trend of data.

Probability is a term to refer to the science that studies the measurement of the certainty of occurrence of an event. Generally, the probability of occurrence is associated with a value between 0 and 1, where an impossible event corresponds to zero and a certain event corresponds to one.

Statistics is a term to refer to a branch of mathematics that studies different phenomena related to data such as:

Another outstanding aspect of statistics is that it is a formal deductive science framed in the formal scientific method.

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Answer:

Step-by-step explanation:

y + 47° = 90°  {Complementary angles}

        y = 90° - 47°

        y = 43°

x = y   {Vertically opposite angles}

x = 43°

Answer:

x = 43°

Step-by-step explanation:

Substract 47° from both sides

since X and y are vertically opposite angles

Answer:

One pound of zucchini equals about 4 cups grated zucchini;

Step-by-step explanation:

2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.

Answer:

So it would be around 3.

Step-by-step explanation:

[tex]\sqrt{10}[/tex]= 3.16227766017

Answer:

not sure about the equation or answer

Answer:

x is less or equal to 30

the last Choice is correct.

Answer:

Last option D.

Step-by-step explanation:

IF it can be no more than 30, the 4th one says it can be equal to 30 or less than thirty.

Answer:

step by step explanation

please see photo

Answer:

18.3% x 238 megabytes

0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).

Step-by-step explanation: