Gasoline is used as fuel that allows cars to move. In order for the gasoline to have any effect on a car, the gasoline has to go through a chemical reaction that causes energy stored in it to be converted into a different type of energy.

Arrange the tiles below to correctly show the sequence in which energy is converted to allow a gasoline-powered car to move.

m∠KPF = 29°, m∠H = 129°. Using angle properties, we found m∠KPF by subtracting known angles from 360° and m∠H by alternate interior angles.

To solve this problem, we'll use several properties of angles in circles, particularly those formed by chords, secants, and tangents intersecting inside or outside a circle.

Given:

- PKHE is an inscribed quadrilateral.

- ∠E = 120°.

- ∠EPK = 51°.

- PF is parallel to EH.

We need to find:

- m∠KPF

- m∠H

Let's start by drawing the situation:

        P

       / \

      /   \

     /     \

    /_______\

   E         H

      K

Step 1: Determine m∠KPE

Since PF is parallel to EH, we have alternate interior angles:

m∠KPE = m∠EPK = 51°

Step 2: Find m∠KEH

Inscribed angle ∠KEH is half the measure of its intercepted arc, ∠E. So:

m∠KEH = 1/2× m∠E = 1/2× 120° = 60°

Step 3: Find m∠KPH

∠KPH is an exterior angle to triangle KPE:

m∠KPH = m∠KPE + m∠KEH

        = 51° + 60°

        = 111°

Step 4: Find m∠KPF

In quadrilateral KPFH, the sum of angles is 360°. So:

m∠KPF + m∠KPH + m∠E + m∠H = 360°

m∠KPF + 111° + 120° + m∠H = 360°

m∠KPF + m∠H = 360° - 111° - 120°

m∠KPF + m∠H = 129°

We'll use this relationship in the next step.

Step 5: Find m∠H

Using the fact that PF is parallel to EH, we have alternate interior angles:

m∠H = m∠KPF = 129°

Step 6: Find m∠KPF

From step 4:

m∠KPF + m∠H = 129°

m∠KPF + 129° = 129°

m∠KPF = 0°

So, the final answers are:

- m∠KPF = 0°

- m∠H = 129°

Answer:

it is a for addend

Step-by-step explanation:

Answer:

D) GCD

D) 9(7 + 9)

Step-by-step explanation:

Given in the question an expression

44  + 12

4(11 + 3)

2 |  44, 12

2 | 22 , 6

  |  11 , 3

D) GCF = 2x2 = 4

C) LCM = 2x2x11x 3

        = 132

B) The difference between each number in an arithmetic sequence is called common difference.

A) A number which is added to another is called addend.

63 + 81

3  | 63 , 81

3  | 21 , 27

   |  7 , 9

GCF = 3x3

        =  9

Distributive property = 9(7 , 9)

Answer:

Step-by-step explanation:

18% of 50 people said they liked strawberry. The word 'of' in math means multiply, so 18%•50 or .18•50. Multiply them together: .18•50=9.00 or just 9. 9 people like strawberry ice cream :)

Answer:

Step-by-step explanation:

If W is the midpoint of VX then VW = WX. Therefore we have the equation:

2x + 5 = 4x - 3          subtract 5 from both sides

2x = 4x - 8       subtract 4x from both sides

-2x = -8        divide both sides by (-2)

x = 4

VX = VW + WX

VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2

Put the value of x = 4 to 6x + 2:

VX = 6(4) + 2 = 24 + 2 = 26

The length of line segment VX, given W is the midpoint and the lengths of VW and WX are represented by 2x+5 and 4x-3 respectively, is 26 units.

In the given problem, W is the midpoint of VX. This indicates that VW is equal to WX. So, we can set up an equation using the given expressions for VW (2x+5) and WX (4x-3).

We have:
2x+5 = 4x-3

By rearranging the terms, we can find the value of x:
2x-4x = -3-5
-2x=-8
x = 4

Substitute x=4 in either VW or WX to find the length of half of VX: 2x+5 = 2*4+5 = 13.

Since W is the midpoint, VW = WX, so VX = VW + WX = 13 + 13 = 26.

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Answer:

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - length of an edge

We have V = 27 in³. Substitute:

[tex]a^3=27\to a=\sqrt[3]{27}\\\\a=3\ in[/tex]

Two angles on a straight line will always equal 180 when combined.

180 - 45 = x

X = 135

Answer:

135°

Step-by-step explanation:

These two angles, 45° and x, are "supplementary," which means that they add up to 180°.

Thus, x = 180° - 45° = 135°

So think of it like this she starts off $32 negative and subtract 3 from each box of cards she makes . So each box of cards she will make $8 that being said

32/8 =4 (it will take 4 box of cards to pay off her booth expense).

Sales would be 11x 4 =44

Expenditures would be 3x4 =32 (the amount used to make cards ) +32(the amount paid for the booth)

Which in total would be $64

Sidney needs to sell [tex]\( \boxed{4} \)[/tex] boxes of cards to cover her expenditures, totaling [tex]\( \$44 \)[/tex] in sales and expenditures.

To determine when Sidney's sales will cover her expenditures, we set up the following equations:

1. Cost equation:

  Total cost C consists of booth cost [tex]\( \$32 \)[/tex] plus material cost [tex]\( \$3 \)[/tex] per box:

  [tex]\[ C = 32 + 3n \][/tex]

  where n is the number of boxes of cards sold.

2. Revenue equation:

  Total revenue [tex]\( R \)[/tex] is obtained from selling each box for [tex]\( \$11 \)[/tex] :

  [tex]\[ R = 11n \][/tex]

3. Break-even point:

  To find when sales cover expenditures, set [tex]\( R = C \)[/tex]:

  [tex]\[ 11n = 32 + 3n \][/tex]

  Simplify and solve for n :

  [tex]\[ 11n - 3n = 32 \][/tex]

  [tex]\[ 8n = 32 \][/tex]

  [tex]\[ n = \frac{32}{8} = 4 \][/tex]

4. Calculation:

  - Number of cards: Sidney needs to sell 4 boxes of cards.

  - Sales: Total revenue [tex]\( R \)[/tex] at break-even point:

    [tex]\[ R = 11 \cdot 4 = \$44 \][/tex]

  - Expenditures: Total cost C at break-even point:

    [tex]\[ C = 32 + 3 \cdot 4 = \$44 \][/tex]

Sidney will cover her expenditures after selling 4 boxes of cards, where her total revenue from sales equals her total costs, including booth fees and material costs. This ensures she breaks even in terms of financial outlay versus income from sales.

Sidney needs to sell 4 boxes of cards to cover her expenditures, resulting in total sales of [tex]\( \$44 \)[/tex] and total expenditures of [tex]\( \$44 \)[/tex].

The product of 167 and [tex]b[/tex] is [tex]167b[/tex]

65 less than this quantity is [tex] 167b-65[/tex]

Answer:

circumference of any circle to the diameter of that circle.

Answer:

Go to brainfuse.com

Step-by-step explanation:

This website will give you one on one tutoring for free (they won't see your face!)

Answer: C.  [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given: A spinner has 6 equal sectors labeled A, B, C, D, E and F on it. The spinner is spun twice.

If it is given that the  spinner shows B on the first spin, then the total outcomes will be{ (B,A), (B,B), (B,C), (B,D), (B,E), (B,F)}=6

The number of favorable outcome = 1

Now, the probability of spinning B and then E, given that the spinner shows B on the first spin=[tex]\dfrac{1}{6}[/tex]

Answer: C. 1/6

Step-by-step explanation:

The correct answer is:

y = -4x + 3

Answer:

The equation "y = -4 x + 3" represents a line parallel to the line shown on the graph.

Step-by-step explanation:

The line shown on the graph corresponds to the equation "y = -4 x + 8".

All linear functions with the same slope are represented by parallel lines.

The slope of the function of the graph is -4 and the slope function of the answer is -4, too. Therefore both of them represents parallel lines.

The function "y = 4 x - 1" has got different slope, so it represents a different line.

Answer:

∠QRS = 114°

Step-by-step explanation:

Note that the external angle ∠QRS is equal to the sum of the 2 opposite interior angles, hence

∠QRS = ∠PQR + ∠QPR = 52° + 62° = 114°

The measure of angle QRS in a triangle depends on the properties of the triangle and measurements of other angles. Without additional information, it's impossible to provide a definitive measure for angle QRS. A triangle's total angles are always 180 degrees.

In order to answer your question about the measure of ∠QRS, we first need information about the other angles in the triangle or the property that defines this triangle. For instance, if we know that this is a right-angle triangle and we have the measure of one of the other angles, we can easily find ∠QRS as a triangle's total angles are always 180 degrees. Alternatively, if this is an equilateral triangle, then all angles measure 60 degrees. Without more specific information, it is impossible to definitively state the measure of ∠QRS.

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Final answer:

The value that is two standard deviations above the mean for the depth of snow at Yellowstone's lower geyser basin is calculated to be 4.94 inches.

Explanation:

To find the value that is two standard deviations above the mean in a normally distributed set of data, you simply add two times the standard deviation to the mean. Given that the mean depth of snow at Yellowstone's lower geyser basin is 3.9 inches with a standard deviation of 0.52 inches, we perform the following calculation:

Value = Mean + (2 × Standard Deviation)

Value = 3.9 + (2 × 0.52)

Value = 3.9 + 1.04

Value = 4.94 inches

Therefore, two standard deviations above the mean is 4.94 inches of snow.

The value that is two standard deviations above the mean depth of the snow at Yellowstone National Park in April at the lower geyser basin is 4.94 inches.

The value that is two standard deviations above the mean is calculated as follows:

- Mean= 3.9 inches

- Standard deviation = 0.52 inches

To find the value that is two standard deviations above the mean, we multiply the standard deviation by 2 and then add this to the mean:

- Value = Mean + (2 × Standard deviation)

- Value = 3.9 + (2 × 0.52)

- Value = 3.9 + 1.04

- Value = 4.94 inches

Answer:

5%

Step-by-step explanation:

Answer:

m<ALO=35°

Step-by-step explanation:

we know that

The right triangle AOL is congruent with the right triangle BOL

because

OA=OB=radius of the circle

OL is a common side

LA=LB ---> by applying the Pythagoras theorem

therefore

m<AOL=m<AOB/2

m<AOL=110°/2

m<AOL=55°

Remember that

m<AOL+m<ALO=90° ------> by complementary angles

m<ALO=90°-55°=35°

Answer:

Length: 9 inches.

Width: 6 inches.

Step-by-step explanation:

Find the dimensions of the floor of the doll house.

Apply the formula:

[tex]A=lw[/tex]

Where  A is the area, l is the lenght and w is the width.

You know that:

[tex]A=864\\w=\frac{2}{3}l[/tex]

Then you can solve for l:

[tex]864=l(\frac{2}{3}l)\\\\864=\frac{2}{3}l^2\\\\l=\sqrt{\frac{864*3}{2}}\\\\l=36in[/tex]

Then the width is:

[tex]w=\frac{2}{3}(36)=24in[/tex]

Therefore, the dimensions of the floor on the blueprint of the doll house are:

[tex]l'=\frac{1}{4}(36in)=9in\\\\w'=\frac{1}{4}(24in)=6in[/tex]

Answer:

Step-by-step explanation:

The actual dollhouse floor measurements were figured out to be 24 by 36.

24x36 = 864 square inches for the area, which matches to the problem.

The blueprint measurements are to be 1/4 of the actual measurements, so 1/4 of 24 is 6, and 1/4 of 36 is 9.  Therefore, the scaled down measurements of the dollhouse floor are 6x9, which supposedly solves the problem.

But my family and I wondering -- if the actual floor area is 864, and the scaled down drawing is supposed to be 1/4 the size of the actual, then shouldn't the scaled down blueprint area be 1/4 of 864, so 216??

And 6x9 equals 54, not 216!  

What are we missing??

Answer:

if they have sides of 1, its 810

Step-by-step explanation:

we find the volume of the prism by using formula l x h x w

we plug it in 6 x 45 x 3. this equals 810. if the cubes have sides of 1, we do 1 x 1 x 1 to get the volume one, divide it from 810 to get 810 .

mn - mk + xk - xn

mn - xn - mk + xk

n(m - x) - k(m - x)

(n - k) (m - x)

//Hope it helps.

Answer: (n-k)(m-x)

Step-by-step explanation:

mn - mk + xk - xn

mn - xn - mk + xk

n(m - x) - k(m - x)

(n - k) (m - x)

Answer:

A. 72 in^2.

Step-by-step explanation:

What you do is you have to use the formula for a surface area of a rectangular prism which is:

A=2(wl+hl+hw).

Your height is 3 inches.

Your width is 2 inches.

Your length is 6 inches.

You will plug that into the formula.

A=2(2*6+3*6+3*2).

A=2(12+18+6)

A=2(36)

A=72 in^2 is your answer.

Answer:

The Surface Area is 72 square inches

Step-by-step explanation:

2*3=6 and 6*2=12

2*6=12 and 12*2=24

6*3=18 and 18*2=36

36+24+12=72

The easiest way to do this is to plot the points. I used the pythagorean theorem for this one, too. Add the side lengths to get the perimeter: 5 + 5 + 5 + 3 + √40 = 24.32455532 units or just 24 units.

Answer:

the correct answer is C). 3,600

Step-by-step explanation:

divide 36,000 by 10 and you get your answer hope this helps

p.s. you,re pretty

Answer:

Step-by-step explanation:

To figure out the unit rate, divide 5.12 by 128. You should get 0.04, which is the unit rate or cost per ounce. To figure out how much the 96 oz can should be, multiply $0.04 times 96.

Your answer should be $3.84.

Final answer:

To maintain the same unit rate as the 128 ounce container of orange juice that costs $5.12, the supermarket should price the 96 ounce container at $3.84.

Explanation:

The student is asking how to calculate the price for a 96 ounce container of orange juice, given that a 128 ounce container costs $5.12, with the condition that the unit rate remains the same. First, we need to determine the unit rate for the orange juice in the 128 ounce container. To do that, divide the total cost by the number of ounces to find the cost per ounce:

$5.12 \/ 128  ext{ounces} = $0.04  ext{per ounce}

Now that we have the unit rate ($0.04 per ounce), we can calculate the cost for a 96 ounce container by multiplying the unit rate by the number of ounces:

96  ext{ounces} \times $0.04  ext{per ounce} = $3.84

Therefore, the supermarket should sell the 96 ounce container of orange juice for $3.84 to keep the unit rate the same as the 128 ounce container.

Answer:

you have the rounded part already rounded how it should be. for the mad I need a list of numbers. sorry!!

Answer:

circumference of the circle [tex]=18.8m[/tex]

Step-by-step explanation:

Given radius = r = 3m {From comment section}

We need to find the circumference of the circle to the nearest tenth. Question also says to use 3.14 for pi.

Apply formula of circumference of the circle.

circumference of the circle [tex]=2\pi r[/tex]

circumference of the circle [tex]=2(3.14)(3m)[/tex]

circumference of the circle [tex]=18.84m[/tex]

Rounding that to nearest tenth, we get:

circumference of the circle [tex]=18.8m[/tex]

Answer:

x = - 2

Step-by-step explanation:

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4, hence

x² + 4x + 4 = 0 ← This is a perfect square in the form

(x + a)² = x² + 2ax + a²

Hence 2a = 4 ⇒ a = 2, thus

(x + 2)² = 0

x+ 2 = 0 ⇒ x = - 2 ( 2 equal roots )

Value of x = - 2

Answer:

x = - 2

Step-by-step explanation:

Answer:

The answers are C, D, and E.

Step-by-step explanation:

10% of 33 is 10%×33

10% = [tex]\frac{10}{100}[/tex] = [tex]\frac{1}{10}[/tex] = 0.1

You can plug in [tex]\frac{10}{100}[/tex], [tex]\frac{1}{10}[/tex], and 0.1 into 10%×33 for 10%.

[tex]\frac{10}{100}[/tex]×33 = E

[tex]\frac{1}{10}[/tex]×33 = C

0.1×33 = D

The answers are C, D, and E.

Answer:

THE FIRST ONE!! HOPE THIS HELPS!

Step-by-step explanation:

Answer:

It could not have gone anywhere. It is impossible to travel negative miles per hour.

However if it was traveling 34 mph for 0.75 miles then it would go 25.5 miles

Answer:

Area=25 inches

Step-by-step explanation:

Formula for area of triangle is BxH/2 (base times height divided by two.)

So 5x10=50, 50/2=25

just 25in2 I just passed this question