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The polygons are similar, but not necessarily drawn to scale. Find the value of x.


question 3/4

Answer:

a) (6;6)

b) Yes

d) The intersection is on the vertical axis.

Step-by-step explanation:

a) A(2,4)

B (2,2)

Vecto BA (4, 2)

Vecto n (-4,2)

We have:

(2 - 4) x (X - (-2)) + (2 - (-2)) x (Y - 2) = 0

=> -2X + 4Y - 12 = 0

=> Y = X/2 +3

Let's find the value of y if (6,y) lies on the  plane:

Put X = 6 => Y = 6

b)

X/2 + 3 = 3 - X

=> X/2 = -X

=> X =0 -> Y = 3

C (0;3)

d) The intersection is on the vertical axis.

I hope my answer will help you.

Answer:

169.56

Step-by-step explanation:

54*3.14 = 169.56

this is the answer on the test

Answer: 169.56

Step-by-step explanation:

I took the test

Answer:

68%

Step-by-step explanation:

The increase is (62 - 37), or 25, ounces.  Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio).  Multiplying this ratio by 100%, we get 68% (to the nearest percent).

Answer:

1:2

Step-by-step explanation:

3x2=6

2x2=4

4x2=8

Multiplying all sides by two (or doubling all sides) gets the first triangle to the size of the second (or produces the second image).

So you know 2 is the answer, I am not sure how to write the scale factor maybe it is 1:2.

Answer:

I assume you are finding for z so

z=

Step-by-step explanation:

34+66 = -32+z+32

100 = -32+z+32

132 = z+32

100 = z

z = 100

Answer: 900

Step-by-step explanation:

The number of seconds it will take both the crew together to make 38 sandwiches is 900.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.

LCM of 45 and 50 is 450.

Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.

Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.

Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.

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Step-by-step explanation:

Answer:

24m; 35m

Step-by-step explanation:

Answer:

10/47

Step-by-step explanation:

54x+20=7x+30

54x-7x+20=30

47x+20=30

47x=30-20

47x=10

x=10/47

Answer:

1 : 11

Step-by-step explanation:

Ratio

gear 1 : gear 2

= 5 : 55 ( divide each part of the ratio by 5 )

= 1 : 11 ← in simplest form

The question is incomplete:

Donovan spent $5.75 at the fruit stand. He bought 3 apples and 2 oranges. He spent the rest of the money on bananas. The image with the price per fruit is attached. How many bananas did Donovan buy?

A. 1 banana

B. 2 bananas

C. 3 bananas

D. 4 bananas

Answer:

D. 4 bananas

Step-by-step explanation:

First, you have to consider that the total amount paid is equal to adding up the results of multiplying the price for each fruit for the number of fruits purchased which would be:

Total cost=(3*0.75)+(2*1.25)+0.25x, x is the number of bananas

Total cost=2.25+2.5+0.25x

Now, you can replace the total cost with 5.75 that is the amount Donovan spent and solve for x:

5.75=2.25+2.5+0.25x

5.75-2.25-2.5=0.25x

1=0.25x

x=1/0.25

According to this, the answer is that Donovan bought 4 bananas.

The area of the part of the mural Trevor has completed is

Area of a rectangle is the product of its length and width.

If a rectangle has length L units and width of W units, then

Area = L × W squared units.

Given;

Width of painting= 25m

Length of painting= 34m

Area of rectangle = L x W

= 25 x 34

= 850m^2

Therefore, the area of rectangle will be 850m^2

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Answer:

12

Step-by-step explanation:

if you add up 2, 6 times it would be 2,4,6,8,10,12

or you would multiply the 2 assuming that there was no number to subtract 2 six times from to start

Answer:

[tex]A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] = -63.5[/tex]

[tex]B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =0.8[/tex]

[tex]C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =-185.4[/tex]

[tex]D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =18[/tex]

[tex]E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =-14738[/tex]

[tex]F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =-607.7[/tex]

Step-by-step explanation:

[tex]A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] =[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex][-3-2] - [40 -1.7 + 20.2][/tex]

Resuelve cada paréntesis

[tex]-5 - 58.5[/tex]

[tex]-63.5[/tex]

[tex]B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex]-4 + [-0.2] + (- 5) * (- 3) + (- 10)[/tex]

Resuelve todas las multiplicaciones y paréntesis.

[tex]-4 -0.2 + 15-10[/tex]

[tex]=0.8[/tex]

[tex]C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex]-22 * \{- 5+ [8.3 + 5.4]\} - (- 2). (3)[/tex]

Resuelve todas las multiplicaciones y paréntesis.

[tex]-22 * 8.7 +6[/tex]

[tex]-191.4 + 6[/tex]

[tex]=-185.4[/tex]

[tex]D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =[/tex]

Resuelve todas las expresiones entre paréntesis interiores

[tex]-9 - 3 * [- 3 - 5 - 2 +1][/tex]

[tex]-9-3 * -9[/tex]

[tex]-9 + 27[/tex]

[tex]= 18[/tex]

[tex]E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =[/tex]

Resuelve todas las expresiones entre paréntesis interiores

[tex]40 * \{- 12 * [4 - 6 * - 5-15,3 + 12]\} - 2[/tex]

Multiplicar -6 por -5

[tex]40 * \{- 12 * [4 + 30-15.3 + 12]\} - 2[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex]40 *\{- 12 * 30.7\} - 2[/tex]

Quitar todos los paréntesis

[tex]40 * -368.4 - 2[/tex]

[tex]-14736 - 2 \\[/tex]

[tex]=-14738[/tex]

[tex]F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =[/tex]

Resuelve todas las expresiones entre paréntesis interiores

[tex]-21 * \{- [- 6 * 4] +0.7\} - 89[/tex]

Multiplicar -6 por 4

[tex]-21 * \{24 +0.7\} - 89[/tex]

Quitar todos los corchetes

[tex]-21 * 24.7 - 89[/tex]

[tex]-518.7 - 89[/tex]

[tex]=-607.7[/tex]

A. [tex]f(x)=0.6x^{2} -2[/tex], is the correct answer.

[tex]g(x)=x^{2}[/tex] is shifted down [tex]2[/tex] units and is bigger by 0.6 units, which makes the new equation: [tex]f(x) =0.6x^{2} -2[/tex].

The equation of the transformed function is F ( x ) = 0.6x² - 2

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) = x²

And , the graph of the function is shifted 2 units down and stretched by a a scale factor of 0.6 units

So , the transformed function is

F ( x ) = 0.6x² - 2

Hence , the transformed function is F ( x ) = 0.6x² - 2 and the graph is plotted

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Answer:

Volume=21.195 cubic inch

Step-by-step explanation:

The volume of a cylinder varies jointly with its height and the square of the radius is expressed as

V∝hr^2

Introducing our constant of proportionality,K we have that

V =Khr^2

Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that

V =Khr^2

7.85=K 2.5 X 1^2

K=7.85/2.5 x1

K=3.14

Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?

V =Khr^2

V=3.14 X 3 X 1.5^2

V=21.195 cubic inch

Answer: 10.2

Step-by-step explanation:

Use the Pythagorean Thoerem

[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]

[tex]b=\sqrt{104}\\\\b=10.2[/tex]

Answer:

x = 10.2

Step-by-step explanation:

the exact solution is 10.19804

Answer:

3/50

Step-by-step explanation:

The experimental probability that a person selected at random is going to City B is 19/50.

Experimental probability is a probability that is determined on the basis of a series of experiments.

The table shows the results of a survey of 100 people selected at random at an airport.

The total number of responses is;

= 24 + 38 + 14 +22 +2

= 100

The experimental probability that a person selected at random is going to City B is given by;

[tex]\rm Probability =\dfrac{Responses \ from \ city \ B}{Total \ responses}\\\\ Probability =\dfrac{38}{100}\\\\ Probability =\dfrac{19}{50}[/tex]

Hence, the experimental probability that a person selected at random is going to City B is 19/50.

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Answer:

∠1 = 90°, ∠2 = 90°, ∠3 = 90°, ∠4 = 90°, ∠5 = 90°, ∠6 = 90°, ∠7 = 90°

Step-by-step explanation:

From the question, we have;

∠1 and the 90° are supplementary angles

∴ ∠1 = 180° - 90° =  90°

2) ∠2 is vertically opposite to the 90° angle, therefore;

∠2 = 90°

3) ∠3 is vertically opposite to ∠1 , therefore;

∠3 = 90°

4) ∠4 is the corresponding angle to the given 90° angle, therefore;

∠4 = 90°

5) ∠5 is the corresponding angle to ∠1, therefore;

∠5 = ∠1 = 90°

6) ∠6 and ∠2 are corresponding angles;

∴ ∠6 = ∠2 = 90°

7) ∠7 and ∠3 are corresponding angles;

∴ ∠7 = ∠7 = 90°

Answer:Write the equation of this geometric sequence and find the value of the 9th term.

1/3, 1, 3, 9...

F(n)=

F(9)=

Step-by-step explanation:

You can put this solution on YOUR website!

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

:-)

Answer:

79

Step-by-step explanation:

Sum of 4 test for Average of 82 must be 82 x 4 which is 328.

Subtract previous 3 scores from 328:

328 - (98 + 83 + 68)

328 - 249 = 79

She needs a 79

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I'm guessing you want to know the number of people that had more than one hour of homework. This will be:

= 1/5 × 25

= 5 people

Those that have less than one hour of homework will be:

= 25 - 5

= 20 people

Answer:

.

Step-by-step explanation:

∠6 is an alternate interior angle to ∠3

∠5 corresponds to ∠7

∠7 is a consecutive interior angle to ∠6

∠8 is an alternate exterior angle to ∠1

Answer: 3 1/2 represents G and 2 3/4 represents point K

Step-by-step explanation: If you look at the first on it is 3 1/2 because it is in the middle and the second one is divided in fourths so K is 2 3/4.

Answer:

0

Step-by-step explanation: i did the lesson

Answer:

it's a 1/6 chance because it's a 6 faced dice

Answer:

16

Step-by-step explanation:

a trick that helps with percentages

if its 20% of 80, multiply 20 and 80 and then divide that by 100 so 1600 divided by 100. 16. hope this helps!!