Given: AB is parallel to CD and BD bisects AC.

Prove: triangle ABE is congruent to triangle CDE.

The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))= -38

Given that,

All real numbers x are defined by the functions r and s.

r(x) =2x+1

s(x) =-2x²-2

We have to find the expression

r( s(-3))

Take the functions,

r(x) =2x+1

s(x) =-2x²-2

Now, Take

r( s(-3))

Substitute s function first

r(-2(-3)²-2)

r(-2(9)-2)

r(-18-2)

r(-20)

Now substitute r function

2(-20)+2

-40+2

-38

Therefore, The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))=-38

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The simplest form of fraction (1/4)/5 is 1/20.

A quotient is the simplest  or resultant value of division of two numbers. In two numbers, one number is dividend and another number is divisor,

quotient=dividend/divisor

The simplest form for fraction (1/4)/5,

(1/4)/5=1/(4×5)

         = 1/20

So, the simplest form of (1/4)/5 is 1/20.

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Answer:

I hope that the picture below helps.

Step-by-step explanation:

Answer:

You take a pencil and slowly go across the graph from left to right.  If any two points are under the pencil at any one time, the relations is not a function.  For a relations to be a function, every input must have only one output, so there will be no two points graphed vertically on top of each other.

Step-by-step explanation:

Check the picture below.

Answer:

78

exclamation is that if 50 is lower than 60 which it is meaning that 78 is the correct answer if you multiply 18 + 34 that is not the right answer but there should be a right answer under this question you shouldn't trust me because I do not give a what the answer is I do not suggest you write down this answer but you do your top G

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

To keep your bill at $50 or lower for the month, you need to set up an inequality using the cost function C(x):

C(x) = 40 + 0.20(x - 60)

Since you want to keep the cost at or below $50, the inequality is:

C(x) ≤ 50

Now, substitute the expression for C(x) into the inequality:

40 + 0.20(x - 60) ≤ 50

40 + 0.20x - 12 ≤ 50

0.20x + 28 ≤ 50

Now, isolate the term with "x" on one side by subtracting 28 from both sides:

0.20x ≤ 50 - 28

0.20x ≤ 22

Finally, divide both sides by 0.20 to solve for "x":

x ≤ 22 / 0.20

x ≤ 110

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

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The liters of synthetic oil that are needed is 456 liters.

From the information, petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil.

To make 836 liters of oil, the liters of synthetic oil will be:

= 6 / (6+5) × 836

= 6/11 × 836

= 456

Therefore, 456 liters are needed.

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Answer:

Step-by-step explanation:

the answer is D i'm pretty sure

Answer:

Step-by-step explanation:

1. Ok. Probability is something out of all. Add to get the bottom base of the probability.

3+4+5= 12

2. Probability is something out of something so 3 navel oranges can be represented out of 12 oranges.

3 out of 12

3. Make as fraction:

3 out of 12=

3/12=

1/4 or 25 Percent!

Answer: 1/4 or 25% ( If wanted as Percent)

Answer:

1/4

Step-by-step explanation:

Number of navel oranges = 3.

Number of mandarin oranges = 5.

Number of Valencia oranges = 4.

Let N be an event that Diana selects navel orange.

The total number of oranges Diana has:

n(T)=3+5+4=12n(T)=3+5+4=12

Number of navel Oranges is:

n(N)=3n(N)=3

The probability that Diana selects a navel orange is:

P(N)=n(N)n(T)=312=14P(N)=n(N)n(T)=312=14

Hence, the probability that Diana selects a navel orange is 1414.

The player ran 60 yards on the football field

A football field measures a length of 100 yards, using subtraction the required dimensions are calculated

The player started form 20 yards line to 20 yard of the other end of the field

The player did not ran the initial 20 yards and the finial 20 yards

this added to give 40 yards

Length covered by the player

100 yards - 40 yards =  60 yards

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Answer:

because u can't predict the days rain will fall so u can say it will fall in ratio 0:4

Answer:

10

Step-by-step explanation:

Round 492 to 500, then estimate 500/50

The equation of the line with coordinates (-7,3), (8,3) is y-3=0 as the slope of line is 0 because x-ordinate is same in both the points.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

The two point form of equation,

y-y1=m(x-x1)

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

m=(3-3)/(8--7)

m=0

y-3=0(x+7)

y-3=0

Because the x-ordinate is the same at both points, the equation for the line with coordinates (-7,3) and (8,3) is y-3=0.

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Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

mark the person above me as brainliest

The radius of the tire is 1.17 yards.

According to the question,

We have the following information:

A tire could roll 200 yards in 27.28 revolutions.

We know that the tire is in the shape of a circle.

We also that the following formula is used to find the circumference of the circle:

2πr where r is the radius of the circle

Now, we have the following expression:

2πr*27.28 = 200

54.56πr = 200

r = 200/54.56π

r = 200/54.56*3.14

r = 200/171.32

r = 1.17 yards

(The unit of the radius will remain same as that of the distance given.)

Hence, the radius of the tire is 1.17 yards.

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Answer:

Step-by-step explanation:

so what is the difference from 1/4 to 5/8 ?   is the question

2/8=1/4

5/8-2/8 = 3/8

9 gallons of fuel fill 3/8 of the tank

since 3/8 is 9 gallons we can see that 1/8 will be 3 gallons or 9/3=3

then multiply 3 gallons by the 8 parts for the whole tank

3*8=24 gallons.

Than tank can hold 24 gallons

f(2) = -4

Step-by-step explanation:

f(2) = 3^2-13

f(2) = 9-13

f(2) = -4

Answer:

279

Step-by-step explanation:

Slope: -1/9

Y-Intercept: 2

By using trignometry we got the side p as 6.67

Use the cosine rule of trignometry to find side p

p² = r² + q² - 2rqcosP

To find the angle of p we will simply subtract angle R and angle Q from 180.

180 - 47.28 - 40 = 92.72

p² = 8² + 7² + 2(8)(7)cos(92.72)

p² = 107.685

p = √107.685

p = 10.38

Let's suppose that the shortest distance of R from PQ is .

look at the diagram I gave

since the line I made makes a right angled triangle, we can use SOH CAH TOA

for the angle 40,  is opposite and 10.38 is hypotenuse

which means we will have to use SOH

sin40 = O/H

sin40 =x /10.38

0.6428 = x/10.38

0.6428 × 10.38 = x

x = 6.67

Hence, by using trignometry we got the side p as 6.67

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Disclaimer,

The given question is incomplete, the answer is done based upon a similar question. The question is given in the image attached.

Answer:

Step-by-step explanation:

540x0.30=378

378x0.08=30.24

378+30.24=408.24

The discount rate used in calculator wound be 4.56%.

Given that,

You anticipate getting a bonus of $10000 after five years on the job.

We have the result of your calculation for the parent value of this bonus is $8000. what percentage of a discount rate did you use.

We know that to find the present value of a future sum of money .

PV= FV/(1+r)ⁿ

Here,

PV is present value = $8000

FV is future value = $10000

r is discount rate we have to find

n is time = 5 years

Substitute in the formula,

$8000=$10000/(1+r)⁵

(1+r)⁵=$10000/$8000

(1+r)⁵=1.25

1+r=[tex]1.25^{1/5}[/tex]

1+r=1.0456

r=1.0456-1

r=0.0456

r=4.56%

Therefore, The discount rate used in calculator wound be 4.56%.

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The hourly rate that the business owner should pay the employees to obtain the desired net income of $40,000 is of:

$17.

The net income is calculated as the subtraction of the total income by the expenses.

In the context of this problem, the expenses are given as follows:

Hence the expression for the net income is given as follows:

110000 - [10800 + 2400 + 1800 + 1500 + 250 + 3(1040x)] = 40000

93250 - 3120x = 40000

3120x = 53250

x = 53250/3120

x = $17 an hour.

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Answer:

210

Step-by-step explanation:

200 × (5% + 1)

=200 × (0.05 + 1)

=200 × 1.05

=210

yan po hope it helps

Answer: Possible Answers:

x2+x−12=0

x2−x−12=0

x2+3x−4=0

2x2+2x−6=0

x2−4x−3=0

Step-by-step explanation: youer welcome

The equation in slope-intercept form is y = 85x - 43

The given parameters are

A linear equation is represented as

y = m(x - X) + Y

Where m is the slope

Substitute the known values in the above equation

So, we have the following equation

y = 85(x - 0) - 43

Evaluate

y = 85x - 43

Hence. the linear equation is y = 85x - 43

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It will take the word processor 165 minutes to check 22 pages

The given parameters in the question are:

Speed = 30 minuter per 4 pages

Number of pages = 22 pages

The number of hours to check the pages can be calculated using the following equation

Time = Speed * Number of pages

Substitute the known values in the above equation So, we have the following equation

Time = 30/4 * 22

There is no unit to convert

So, we have

Time = 30/4 * 22

Evaluate

Time = 165

Hence, the time is 165 minutes

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