50pt:
You have 25 Hot Wheels vehicles. Your Hot Wheels race track has 5 lanes. What is the least amount of races needed to find the fastest Hot Wheels vehicle? What is the least amount of races needed to find the Top 3 fastest Hot Wheels vehicles?

use angle addition postulate:

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1) angle (2x+10) and (x+5) are supplementary, meaning they add up to 180 degrees so

(2x+10)+(x+5)=180

3x+15=180

x=55

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2) angle (x-30) and x are complementary, meaning they add up to 90 degrees

(x-30)+x=90

2x-30=90

x=60

Answer:

Reflection over x-axis

Horizontal shift right 1

Vertical shift up 6

Step-by-step explanation:

see image to see how to find this infor in the equation.

Horizontal changes are in close to the x, but opposite of what you might think. Minus shifts RIGHT and plus shifts LEFT.

Answer:

Your answer:

Step-by-step explanation:

[tex]f(x)=x^2 , g(x)=-(x-1)^2+6[/tex]

[tex]y=-a(x-h)^2+k[/tex]

For g(x) our (h,k) = (1,6)

h - translate right/left, our h = 1 is right 1.

h - translate up/dqwn, our k = 6 is up 6.

If a = positive - no reflect x-axis. If a = negative - reflect x-axis.

Answer:

Arc cd = 60 degrees

Step-by-step explanation:

Angle E is an inscribed angle ....inscribed angle will intercept twice as many degrees of arc as the angle measure

  angle measure = 62    twice as many degrees of arc = 124  (b-c-d)

     bc = 64    so   cd  = 60    for the total of 124

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Steve is 4 steps in the north.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Pedro found a treasure map that said to take 12 steps north, then 8 steps south.

Steve in relationship to where he started will be

By Pythagoras theorem

[tex]\rm H^2 = P^2+B^2\\\\H^2 = (0.0)^2 + (12-8)^2\\\\H^2 = 4^2\\\\H \ = 4[/tex]

Steve is in 4 steps in the north.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

CBD = 63 degrees

Step-by-step explanation:

To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:

(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6

Now that we know the value of x, we factor it in to CBD to find its true value:

6x+27
6(6)+27
36+27
= 63 degrees

To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:

7x-9
7(6)-9
42-9
= 33 degrees

63 + 33 = 96

The answer is correct. CBD = 63 degrees and ABC = 33 degrees.

Answer:

6

Step-by-step explanation:

35 is the first fee, so you exclude that and so the answer would be 6

Answer:

and here's a us

Answer:

Point D

Step-by-step explanation:

Each jump os 0.01 and as you go left it decreases in value but increases as it appearances. As we can see D is 3 and a half lines away from -0.1

Hope this helps and brainliest please

Answer:

point D

Step-by-step explanation:

as it increases its sums with 0.1

but in between the lines it sums up with 0.05.

Answer:

finding the area:

146

Step-by-step explanation:

You need to break the image up into 3 pieces. the lower big triangle, the middle square, and the top triangle.

the measuremets of the lower big triangle is 14 and 14.
to find the area, we need to do 1/2 *14*14
this equals 98

The measurements of the square is 4,4.
we multiply 4*4 to get 16

The measurements of the top triangle is 8,8.
We find the area by doing 1/2*8*8
We get 32

lastly, we add up all of our solutions.
we do 98+16+32
we get 146.

21

The value of the home after 21 years is 200,000(1.035)^21=411,886.29

Answer:

-4

Step-by-step explanation:

Find the rate of change for f(x) = x² - 8x + 15 from x = 0 to x = 4

The rate of change is the rate at which a variable changes over a specific period of time.

Averate rate of change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]

First, we need to find the functions for when x = 0 and when x = 4:

For x = 0

f(x) = x² - 8x + 15

f(0) = 0² - 8(0) + 15

f(0) = 0 - 0 + 15

f(0) = 15

For x = 4

f(x) = x² - 8x + 15

f(4) = (4)² - 8(4) + 15

f(4) = 16 - 32 + 15

f(4) = -16 + 15

f(4) = -1

Averate rate of change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]

A = [tex]\frac{f(4)-f(0)}{4-0}[/tex]

A = [tex]\frac{-1-15}{4-0}[/tex]

A = [tex]\frac{-16}{4}[/tex]

A = [tex]-4[/tex]

Therefore, the rate of change from x = 0 to x = 4 is -4.

Hope this helps!

Answer:

13

Step-by-step explanation:

[tex] s = \sqrt{ {13}^{2} + {2}^{2} } = \sqrt{169 + 4} \sqrt{173} = 13.15[/tex]

[tex]t = \sqrt{ {13}^{2} + {2}^{2} + 2 {}^{2} } = \sqrt{177} = 13.30[/tex]

Answer:

8/11 or 73%

Step-by-step explanation:

# of office workers to whole

Find the percentage of 8/11

Hopefully this helps, good luck!

Answer:

d

Step-by-step explanation:

d is not a function as it doesn't have correct function potential in linear x and y axis

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

Answer:

v = -8i - 6j

Step-by-step explanation:

The starting point is (9, 9)

The direction of the vector is the direction of the arrowhead.

The i is the horizontal component.

The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

Answer:

  (b)  v = -8i -6j

Step-by-step explanation:

The unit vectors in the x- and y-directions are i and j, respectively.

The vector v shown in the graph extends from x=9 to x=1, or (1 -9) = -8 units in the x-direction.

It extends from y=9 to y=3, or (3-9) = -6 units in the y-direction.

Represented as a sum of x- and y-vectors, that is ...

  v = -8i -6j

Answer:

200.96 (pi)= 631.33

200.96. (3.14)=631.01

Step-by-step explanation:

when you use (pi) the answer is 631.33

but if you use (3.14) the answer is 631.01

that's mean than the answer change

Answer:

parallelogram

explanation:

way to know if a quadrilateral is a parallelogram is if opposite sides are actually.

Answer:

I believe the answer is probably parallelogram because it is undetified if it is equivalent on the sides or not. If the sides were equal it would be an isosceles trapezoid and if they weren't it would be a trapezoid. Since there is not enough info about the side legnths of the figure it would more than likely be a parallelogram.

Answer:

5/6, 3/10, 1/2

Step-by-step explanation:

1.5 cakes are shared equally between 6, meaning there are 5/6 of a cake for each person.

2. The pizza is shared equally between 10 people, meaning each person gets 3/10 of a pizza.

3. Each person receives 1/2 of a granola bar as as simplified version 0f 4/8 is 1/2

Answer:

Option D

Step-by-step explanation:

Given:

Formula:

Equation of circle: (x - h)² + (y - k)² = r²

[Where (h, k) is the center point and "r" is the radius of the circle]

Substitute the coordinates of the center point in the formula:

Given center point: (-5, 4)

∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4

Substitute the radius in the formula:

Given radius: 7

Simplify both sides of the equation:

Therefore, Option 4 is correct.

Step-by-step explanation:

3 54 4 162 5 486

sorry if I'm wrong

Answer:

-31.75

Step-by-step explanation:

[tex]36.4+(-68.15) \\ \\ = 36.40 - 68.15 \\ \\ = -31.75[/tex]

Answer:

the perimeter, in units of the rectangle is 16x + 20

Step-by-step explanation:

perimeter of a rectangle be is 2(L + B)

p = 2(L + B)

L = 5x + 2

B = 3x + 8

p = 2L + 2B

p = 2(5x + 2) + 2(3x + 8)

p = (10x + 4) + (6x + 16)

p = 10x + 4 + 6x + 16

Collect like terms

p = 10x + 6x + 4 + 16

p = 16x + 20

Answer: 16x+20

Step-by-step explanation:

perimeter of a rectangle is the length of all sides added together.

(3x+8)+(3x+8)+(5x+2) + (5x+2)

combine like terms

16x+20

(7, 3) is the answer I believe

Answer:

O returns.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the distributive property.

Distributive property:

[tex]\sf{\dfrac{5}{6}=(12p-42) }[/tex]

Multiply by expand.

[tex]\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}[/tex]

Solve.

5/6*12p=10p

5/6*42=36

Use the order of operations.

PEMDAS stands for:

[tex]\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }[/tex]

Divide.

42/6=7

Multiply.

5*7=35

Subtract.

35-35=0

[tex]\Longrightarrow: \boxed{\sf{10p-35}}[/tex]

Therefore, the correct answer is 10p-35.

I hope this helps. Let me know if you have any questions.

Answer:

[tex]10p - 35[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]\frac{5}{6}(12p - 42)[/tex]

[tex](\frac{5}{6}*12p) + (\frac{5}{6} * (-42))[/tex]

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

Step 2:  Simplify the expression

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

[tex]10p - 35[/tex]

Answer:  [tex]10p - 35[/tex]

Answer:

5/12

Step-by-step explanation:

10 out of 24 earned an A    ...that is the probability  

    10/24   = 5/12