Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24

Answer: AB=20, BC=14

Step-by-step explanation:

set AB together with the side congruent to it (which is DC)

3x-7=x+11

subtract x and add 7 to both sides

2x=18

divide both sides by 2

x=9

plug 9 in for AB.

3(9)-7

27-7=20.

now do the same for BC

Answer:

AB = 20

BC = 14

Step-by-step explanation:

ABCD is a parallelogram

Opposite sides of a parallelogram are equal.

Therefore,

AB = DC

3x - 7 = x + 11

3x - x = 11 + 7

2x = 18

x = 18/2

x = 9

AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20

7y - 7 = 3y + 5

7y - 3y = 7 + 5

4y = 12

y = 12/4

y = 3

BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14

Given:

In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.

To find:

(a) The length of ED.

(b) The length of BE.

Solution:

In triangle ABE and ACD,

BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.

[tex]m\angle ABE=m\angle ACD[/tex]          (Corresponding angles)

[tex]m\angle BAE=m\angle CAD[/tex]          (Common angle)

Now,

[tex]\Delta ABE\sim \Delta ACD[/tex]

Corresponding sides of similar triangles are proportional.

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]

(a)

[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]

[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]

[tex]0.8=\dfrac{26}{AD}[/tex]

Isolate AD.

[tex]0.8AD=26[/tex]

[tex]AD=\dfrac{26}{0.8}[/tex]

[tex]AD=32.5[/tex]

Now,

[tex]AD=AE+ED[/tex]

[tex]32.5=26+ED[/tex]

[tex]32.5-26=ED[/tex]

[tex]6.5=ED[/tex]

Therefore, the length of ED is 6.5.

(b)

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]

[tex]0.8=\dfrac{BE}{18}[/tex]

Multiply both sides by 18.

[tex]14.4=BE[/tex]

Therefore, the length of BE is 14.4.

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

Answer:

12

Step-by-step explanation:

you have to times 2 x 6 to find your x

I'm not for sure tho but I hope it's right

Answer:

6

Step-by-step explanation:

20 times 0.3 is 6

Answer:

reduced by 20% so that means it is going to be 20% cheaper. You need to take off 20% of $60

20% is 0.2

of in math ALWAYS means multiply

0.2 X 60 = 12

You get 12 off  

60 - 12 = 48

the new price is $48.00

Here is another way. You get 20 % off and that leaves 80% that you have to pay.

80% of 60  

= 0.8 x 60

= 48

You pay $48.00

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

40x-24y

Step-by-step explanation:

how u need help, just do

8 times 5x

then 8 times -3y

Answer:

the answer to 3 is the first one, 40x-24y

Answer:

There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.

You could however use them as a description of a line, which gives every possible solution.

35x - 7y = 49

7y = 35x - 49

y = 5x - 7

We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)

Answer:

3.1 * 10^10

Step-by-step explanation:

we know 1 billion is 1,000,000,000

In scientific notation

1,000,000,000=1 * 10^9

To find the value of 31 Billion

Multiply the value of one billion for 31

so

31 * 1 * 10^9  = 31 * 10^9

= 3.1 *  10^10

Answer:

(C)DC = 6 StartRoot 3 EndRoot in.

(D)AC = 12 StartRoot 3 EndRoot in.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

did the test

Answer: false

Step-by-step explanation:

Answer:

The rate of change of a linear function = 5/4

Step-by-step explanation:

Given that a linear function includes the points (2, 3) and (6, 8).

So we have the points

We know that the rate of change of a function is also termed as the slope of the function.

In other words, the slope of the linear function gives us the rate of change of the linear function.

Thus,

Determining the rate of change or slope between (2, 3) and (6, 8)

Using the formula

Rate of change = Slope =  [y₂ - y₁] /  [x₂ - x₁]

                                       =  [8 - 3 / [6 - 2]

                                       = 5 / 4

Thus, the rate of change of a linear function = 5/4

Answer:

1) 3x - 15y = 5

2) 6x - 21y = 7

Step-by-step explanation:

standard form:  Ax + By = C

1) y = 1/5x + 1/3

multiply each side by 15 to eliminate fractions: 15y = 3x + 5

final form: 3x - 15y = -5

2) y = 2/7x - 1/3

multiply each side by 21 to eliminate fractions: 21y = 6x - 7

final form: 6x - 21y = 7

Answer:

x = 2√3

Step-by-step explanation:

The sides of a 30-60-90 triangle are always in the ratio 1:√3:2.

The length of the side opposite the 90° angle is 4, so the length of the side opposite the 30° angle is 2 and the length of the side opposite the 60° angle is 2√3.

x = 2√3

Answer: 844.131607

Step-by-step explanation:

750/100=7.5

7.5 is 1%

22.5 is 3%

YEAR 1 (750+22.5) 772.5

772.5/100

7.725 is 1%

23.175 is 3%

YEAR 2 (23.175+772.5) 795.675

795.675/100

7.95675 is 1%

23.87025 is 3%

YEAR 3 (23.87025+795.675) 819.54525

819.54525/100

8.1954525 is 1%

24.5863575 is 3%

YEAR 4 (24.5863575+819.54525) 844.131607

:D Done! Please give me brainliest! It took alot of time for me to do this!

Answer:

Yes

Step-by-step explanation:

If you subsitute for x, x will only repeat if it has the same y value.

Yes, The given relation is a function.

Here,

The relation is given as; Y = 3x

We have to find the given relation is a function or not.

What is Function?

A relation is said to be function if there is exactly one value for each value of y.

Now,

The given relation is,

Y = 3x

When, we put x = 1 then y = 3

And, when x = 2 then y = 6 and so on.

Clearly, there is exactly one value of x for value of y.

So, The given relation is a function.

Learn more about the function visit:

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Answer:

Step-by-step explanation:

3. 6 in squared (a)

4. 25 cm squared (d)

ols mark brainliest if it helped!!!

Answer:

16 minutes

Step-by-step explanation:

Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:

27 - 5 = 22

Now that you have done this, divide 22 by 2:

22/2 = 11

Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:

11 + 5 = 16.

Answer:

Tom walked 16 minutes.

Step-by-step explanation:

If the walk is five minutes longer than the bus ride, we just need to subtract the five minutes, and divide the rest by two. (b) will be the time of the bus ride.

[tex]27=2b+5\\27-5=2b\\22=2b\\22/2=b\\11=b[/tex]

The bus ride would be 11 minutes long, we just add five minutes to that for the time of the walk. (w) will be how long the walk took.

[tex]11+5=w\\16=w[/tex]

Answer: this was a rotation.

Answer: This answer is 1

Step-by-step explanation: Plzz mark brainliest - Lily ^_^

Answer:

Yes

Step-by-step explanation:

Unit prices come from dividing the price, $6.99, by the amount of product, 6,

6.99 ÷ 6 = 1.165

Now, because you cannot have more than two digits in the cents part, you would round that up to $1.17 which is over $1.05 dollars per bottle.

Answer:

False I think :>

Step-by-step explanation:

Answer:

false

hope this helps you! :)

Answer:

a = 29.445 and b = 17

Step-by-step explanation:

Hope this helped! Please mark me as brainliest if you can!

Answer:

88.16

Step-by-step explanation:

You will have to use tan to solve it

The value of x round to the nearest tenth is,

⇒ x = 85

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Base of height = 500

Angle = 10°

Now, We can formulate;

⇒ tan 10° = x / 500

⇒ 0.17 = x / 500

⇒ x = 85

Thus, The value of x round to the nearest tenth is,

⇒ x = 85

Learn more about the triangle visit;

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Answer:

2 hours and 36 minutes

Step-by-step explanation:

156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London