Find the area of the similar figure.
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Answer:

Step-by-step explanation: Let the total no of cars in the collection be X

Number of black cars = (1/4)X

Number of red cars = (5/8)X

Number of white cars= 7

Summation of all the cars,

(1/4)X + (5/8)X + 7 = X

X= 56

Therefore,

Number of black cars = (1/4) of 56 = 14

Number of red cars = (5/8) of 56 = 35

Number of white cars = 7

Answer:

Top row, third one from left to right

Step-by-step explanation:

Use test points:

when x = 0 , y = 2(0) - 4 = 0 - 4 = -4

(0, -4)

when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x

(2, 0)

Top row, third one from left to right

Answer:

-5

Step-by-step explanation:

12-7=5

7-12=-5

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Arithmetic

7-12

Meaning, 12 less than 7.

7-12=-5

Answer:

-7/45

-4/15+1/9 (two negatives make a plus or addition)

least common multiple of 15 and 9 = 45

 45 is the denominator

15*3=45 , 9*5 = 45

-4*3 = -12 ,1*5 = 5

-12+5 = -7/45

Answer:

-7/45

Step-by-step explanation:

find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)

[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]

subtracting a negative = addition

[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

Answer:

270

Step-by-step explanation:

you would do 18x15

Answer:

x=58 degree

Step-by-step explanation:

angle AGF +32 =90 degree (being perpendicular)

angle AGF =90-32

angle AGF =58 degree

angle x =angle AGF (being vertically opposite angles)

x=58 degree

Answer: It is asking for the answer to angle x, which is 68 degrees

Answer:

$2100

Step-by-step explanation:

I = prt

I = $1500(0.05)(8)

I = $1500(0.4)

I = $600

$1500 + $600

= $2100

Answer:

a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180

Probability is 1/36.

The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

Two dices were rolled.

Total outcomes in sample space: S = 36

Outcomes which have sum as 12 are E = {(6,6)}

Required Probability: P(E)= 1/36

Hence, Probability is 1/36 of which have sum as 12

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Answer:

1/36

Step-by-step explanation:

Answer:

The answer is 47

Step-by-step explanation:

Answer:

b

d

a

d

Step-by-step explanation:

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Answer:

$50 is the earned for every sales

$30000 is earned for 30000/50=600

He has to made 600 sales to earn 30000

Answer:

Step-by-step explanation: D: he portrays april much more negatively.

T. S. Eliot in "The Waste Land" differ in his interpretation of the subject matter from Geoffrey Chaucer in The Canterbury Tales as He portrays April much more negatively. Thus, option D is correct.

The Waste Land emphasizes the moral, cultural, and social deterioration of contemporary society brought on by the commercializing of life and the availability of everything for purchase. Even in the area of love, there is an issue of gain and loss. People no longer have moral principles or beliefs.

Eliot describes a world of desolate panoramas, despair, and spiritual emptiness in his writings, giving readers a somber impression of the earth and those who live there. He also argues that those who live in this world are destined to suffer since they are powerless to change their circumstances.

Therefore, option D is the correct option.

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may be QR also equal to 34

Answer:

x = -1

Step-by-step explanation:

AB + BC = AC = 28

the way from A to C goes through B.

so, the total way of A to C is the sum of the way from A to B and then from B to C.

=>

(5x + 10) + (2x + 25) = 28

7x + 35 = 28

7x = -7

x = -1

Answer:

x = -1

Step-by-step explanation:

5x + 2x + 10 + 25 = 28

7x + 35 = 28

7x = -7

x = -1

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Answer:

The answer is D.5(9a-2b)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5x9a -5x2b= 45a - 10b

so that is the answer

Answer:

32

Step-by-step explanation:

Daisy's mom is 4 times as old as she.

m = 4d

The sum of their ages 6 years ago was 28.

(m - 6) + (d - 6) = 28

Substitute for m = 4d

(4d - 6) + (d - 6) = 28

Combine like terms

5d - 12 = 28

5d = 40

Divide by 5

d = 8

m = 4d

m = 4 * 8

m = 32

Answer:

Step-by-step explanation:

This is a right triangle; so you can use the Pythagorean Theorem ([tex]a^2 + b^2 = c^2[/tex]), where a and b are the lengths of the legs and c is the hypotenuse.

You get: [tex]5^2 + 12^2 = c^2[/tex]

Simplify the expression: [tex]25 + 144 = c^2[/tex]

Combine like terms: [tex]169 = c^2[/tex]

Take the square root of both sides: [tex]\sqrt{169} = \sqrt{c^2}[/tex]

Evaluate: 13 = c

So the answer is letter c ... x = 13

Answer:

[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

=> 28b - b² - 187 = 0

=> b² - 28b + 187 = 0

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

(b - 11) = 0

=> b = 11

(b - 17) = 0

=> b = 17

therfore,

Answer:

The desired single multiplier is 1.26.

Step-by-step explanation:

A 5% increase results in the original amount PLUS 5% of the original amount:

1.05(original amount)

If a 20% increase follows, we must multiply the above 1.05(original amount) by 1.20:

1.20(1.05)(original amount), or (after multiplying), 1.26.

The desired single multiplier is 1.26.

USING PYTHAGORAS THEORAM,

x²+3²= 5²

x²+9= 25

x²= 25-9 = 16

x= √16

x= 4

OPTION D

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation: