A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?

Given:

The figure of a right angle triangle.

A line segment intersect the two sides and parallel to third side of the triangle

To find:

The value of x.

Solution:

According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.

Using basic proportionality theorem, we get

[tex]\dfrac{8}{20-8}=\dfrac{6}{x}[/tex]

[tex]\dfrac{8}{12}=\dfrac{6}{x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{6}{x}[/tex]

On cross multiplication, we get

[tex]2\times x=6\times 3[/tex]

[tex]2x=18[/tex]

[tex]x=\dfrac{18}{2}[/tex]

[tex]x=9[/tex]

Therefore, the value of x is 9.

Answer:

The answer is C because its the only one that adds up correctly

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the given expression as:

(4 + 9) - (3 . 2) = 13 - 3.2 = 9.8

Now, we can check which of the given expressions is equivalent to 9.8:

A.

(3 . 2) - (2.4) + (2.9) = 3.7

(not equivalent)

B.

(2 + 4) (2 + 9) -3 . 2 = 84.8

(not equivalent)

C.

2.4 +9 - 3.2 = 8.2

(not equivalent)

D.

2.4 + (2.9) - (2.3) = 3.0

(not equivalent)

Therefore,

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

Learn more about expressions here:

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The complete question.

Which of the expressions is equivalent to the one below?

Check all that apply.

(4 + 9) - (3 . 2)

A. (3 . 2) - (2.4) + (2.9)

B. (2 + 4) (2 + 9) -3 . 2

C. 2.4 + 9 - 3.2

D. 2.4 +  (2.9) - (2.3)

Answers:

a = 1/3

b = -6

c = 7

======================================================

Explanation:

The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

Answer:

[tex] - 13 - \frac{2}{x - 2} [/tex]

Step-by-step explanation:

[tex] - 13 - \frac{2}{x - 2} [/tex]

Step-by-step explanation:

QR = 1.5

TS = 2

TP = 3.8

RS = 1.4

PQ = 2.6

Answer:

288 pi yds^3

Step-by-step explanation:

First find the volume of the cylinder

V = pi r^2 h = pi (6^2) * 24 = pi (36)*24 =864 pi

Then find the volume of one sphere

V = 4/3 pi r^3 = 4/3 pi (6)^3 = /43 pi (216) =288 pi

There are 2 sphere so multiply by 2

288 pi *2 =576 pi

Subtract the spheres from the cylinder

864 pi - 576 pi =288 pi

Answer:

5,700

Step-by-step explanation:

Let

x = total cost of the fan

The entrepreneur incurred 20% on the cost price

Selling price = 4560

Therefore, The selling price = 80% of the total cost of the fan

4560 = 80% of x

4560 = 80/100 * x

4560 = 0.8 * x

4560 = 0.8x

x = 4560/0.8

x = 5,700

x = total cost of the fan = 5,700

Answer:

Sum of the four numbers in terms of x would be 4x+4

Step-by-step explanation:

x-2 + x + x+2 + x+4 = sum

4x+4 = sum

Answer:

50 is the answer

Step-by-step explanation:

corresponding angles are equal

i hooe it helps u

Answer:

50

Step-by-step explanation:

I suggest you to watch the khan academy videos before doing the practice!

JoeLouis2

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

Answer:

A

Step-by-step explanation:

Marginal cost is the change in total cost as a result of increasing output by one unit

Marginal cost  = Δcost / Δquantity

0.2 / 0.25 = 0.8

The marginal cost would decrease because the change in output is higher than the change in total cost

Marginal benefit would increase

Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost

Answer:

y = x - 3

Step-by-step explanation:

If the gradient (slope) of the line is m, then the point-slope form of the appropriate equation  is y - k = m(x - h).  If the gradient is 1, then

                                         y - k =   x - h

Since this line passes through (4, 1), we have

                                          y - 1 = x - 4, or

                                            y = x - 3

Answer:

The value of x is 100

Answer:

A rotation is a rigid transformation, sometimes called an isometric transformation, that moves every point of the pre-image through an angle of rotation about the center of rotation to create an image. Rotations preserve size, rotations of 360 map a figure to itself, and lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Step-by-step explanation:

Here man this is right

Answer:

Here is the sample response

Step-by-step explanation:

Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.

Step-by-step explanation:

A.

B.

Answer:

not safe

Step-by-step explanation:

check work in pic

Answer:

x = 20

Step-by-step explanation:

90 = 60 + (x + 10)

90 - 60 = x + 10

30 = x + 10

30 - 10 = x

20 = x

Answer:

x = 20

Step-by-step explanation:

From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...

60° + (x + 10)° = 90°

Now we just solve the equation and get the following...

60° + (x + 10)° = 90°

x° + 10° = 30°

x° = 20°

x = 20

Answer:

314 c m 2

Step-by-step explanation:i think i dont know (sorry)

Answer:

A

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

Answer:

Step-by-step explanation:

First rule:-  Each value of y after the first one is obtained by multiplying the previous  value by 1.5, ( Note  11.25 / 7.5 = 1.5 and 7.5 / 5 = 1.5).

The relationship is : a(n) =  5 * 1.5^(n-1)

Second Rule:-  Note:-  12 - (-6) = 18 and 30 - 12 = 18.  So we add 18 to get the next term in this rule.

Relationship is : a(n) = -6 + 18(n - 1).

Answer:

0.0428 miles per gallon

Step-by-step explanation:

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons

Given data

Distance driven = 280miles

Fuel used= 12 gallons

Hence the gas per mile is expressed as

Gas per mile= 12/280

Gas per mile= 0.0428 miles per gallon

Answer:

The answer is 49 degrees

Step-by-step explanation:

The total we are getting to is 180, we have 131. Subtract to find the missing number that makes it 180 which is 49 because 180 minus 131 is 49.

Answer:

x = 49 °

Step-by-step explanation:

These both angles are located at the straight line. So, the sum of both angles are 180 ° .

x + 131 ° = 180 °

subtract 131 ° from 180 °

x = 180° - 131 °

x = 49 °

Answer:

17 meters

Step-by-step explanation:

Area = Length x Width

Width = 7

Area = 119

Solving for: Length

Equation:

119 = 7 * x

Solving for Length (x) :

119 = 7 * x

x = 119/7

x = 17

Units = meters

Answer: 17 meters

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

There is your answer. Hope this helps

To isolate m, we'll multiply both sides by 8.

We go from m/8 < 4 to m < 32

This describes any number smaller than 32. We aren't including 32 itself, so we have an open circle at 32 on the number line. The shading is to the left since everything to the left of 32 is smaller than 32.

Answer:

y= -1/4x - 5

Step-by-step explanation:

first you need to find the slope.

to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1

-8 - (-6)/12-4

-2/8

-1/4 = slope

since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points

-6 = -1/4(4) + b

-6 = -1 + b

-5 = b

so the final equation is y= -1/4x - 5