Using the picture below, which angle is alternate exterior to angle 2?

The parking lot is located along the front and one side of the school

building.

Reasons:

The given dimensions in the compound are;

Length of the school and the old parking lot = 300 + 75

Width of the school and the old parking lot = 165 + 75

Length of the school, the old and new parking lot = 300 + 75 + x

Width of the school and the old and new parking lot = 165 + 75 + x

Area of the new parking lot the school wants = Double the old parking lot

In terms of areas, we have;

New compound - School = 2 × (old compound - school)

Which gives;

(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)

2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500

Simplifying gives;

81,000 = x² + 615·x + 40,500

x² + 615·x + 40,500 - 81,000 = 0

x² + 615·x - 40,500 = 0

Factorizing with a graphing calculator gives;

(x - 60)·(x + 675) = 0

Therefore;

x = 60 or x = -675

Given that x is a natural number, we have, the correct value is; x = 60;

The distance with which the lot should be expanded, x = 60 feet.

Learn more about writing equations here:

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Answer:

8.2 CM

Step-by-step explanation:

ACCORDING TO THE MODEL

radius = 9*2 - 8*2

Diameter = 2 times radius

ok I cant too hard to explain because Im typing so its 8.2cm so

Answer:

52$

Step-by-step explanation:

104 / 4 = 26$ per lesson

2 piano lessons = 26 x 2 = 52$

Answer:please correct me if I’m wrong but I believe Part A for the slopes are…

1.3/1 or 3

2.-3

3.9/5

4.4/3

Step-by-step explanation:

It’s going up 3 and “running” 1 and it’s positive since the line is going up.

Y2-y1. -16-2

————= ————=-18/6=-3

X2-x1. 8-2

You’re just finding the slope

Solve for it. If further explanation is needed please tell me.

A.

1. 9/5

2. -1/5

3. ? (no question)

4. 4 or 4/1

B.

5. y = 1x + 4

6. -2x + 3

7. -1/5x + 2

8. -4x + 2

I'm not sure about 5-8 the wording of the questions are confusing.

Answer: Option D

Step-by-step explanation:

Soup : 15/5 is 3 x 7 is 21

Peanut: 35/7 is 5 x 5 is 25

From the graph, the solutions of the function represents the instants in which the ball hits the ground.

In the graph, we have that:

The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.

For a similar problem, in which we find the times in which an object hits the ground, you can check https://brainly.com/question/16840613

Answer:

Step-by-step explanation:

The sides r, 10 and 20 are parallel to each other as all three are perpendicular  to same line.

The triangles are similar as two sides are on same lines and another one is parallel as described above.

Work out the value of r using ratios of corresponding sides:

Now, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:

The number 44 is 80% of the number 55.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the numbers are 55 and 44. The percentage will be calculated below,

55 x X% = 44

X% = ( 44 x 100 ) / 55

X% = 80%

Therefore, the number 44 is 80% of the number 55.

To know more about percentages follow

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Answer:

tell me the question

Step-by-step explanation:

please mark me as brainlest

Answer:

15/4

Explanation:

To find the reciprocal of a fraction, switch the denominator and the numerator, which will give you the reciprocal of a fraction.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

X=90

Step-by-step explanation:

k=3/5

X=3/5×150

X=90

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf {Your\ equation} :\mathsf{\dfrac{5}{12}\times\boxed{} = 1}}[/tex]

[tex]\large\textbf{We don't know the unknown number yet so we will}\\\large\textbf{label it as \boxed{f}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{5}{12}\times f = 1}}[/tex]

[tex]\large\boxed{\rightarrow\mathsf{\dfrac{5}{12}(f)= 1}}[/tex]

[tex]\large\textbf{MULTIPLY by }\mathbf{\dfrac{12}{5}}\large\textbf{ to BOTH SIDES}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{12}{5}\times\dfrac{5}{12}f = \dfrac{12}{5}\times1}}[/tex]

[tex]\large\textbf{CANCEL out: }\mathbf{\dfrac{12}{5}\times\dfrac{5}{12}}\large\textbf{ because it gives you 1.}[/tex]

[tex]\large\textbf{KEEP: }\mathbf{\dfrac{12}{5}\times1}\large\textbf{ because it helps solve for the f-value.}[/tex]

[tex]\large\boxed{\mathbf{NEW \ EQUATION: }\mathsf{f = 1\times \dfrac{12}{5}}}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\huge\boxed{\textbf{Therefore, your answer: \boxed{\mathsf{f = \dfrac{12}{5}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

3

+

1

−

1

=

1

0

−

1

3

=

9

3

3

=

9

3

=

3   answer

Answer:

4 is. R=11.94 D= 23.88

5 and 6 I am not sure tbh

7 D=60.50 R=30.25

8 D=60 C=120

Answer:

$30

Step-by-step explanation:

Over 5 years she will have been paid $30 in interest. To find the amount of interest first find the total amount the account has after 5 years. The formula for simple interest is A=P(1+rt). Where A is the total amount, P is the principal (initial amount), r is the rate in decimal form, and t is the time in years.

Plug in the values to solve, A=200(1+0.03*5). Then, simplify to get A=230. Finally, to get only the interest, I, use the formula A-P=I. So, 230-200=30. Therefore, the interest Leila earned was 30 dollars.

In mathematics, a constant rate of change is a rate of change that stays the same and does not change.

Answer:

x-intercept(s):  

4,0

y-intercept(s):  

0,8

Step-by-step explanation:

Answer:

26.16

Step-by-step explanation:

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

[tex]60x=80y[/tex]

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

[tex]y=x-5[/tex]

Now we have two equations, we can use to substitute into the other expression:

[tex]60x=80y[/tex]

[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation

[tex]60x=80x-400[/tex]

[tex]-20x =-400[/tex]

[tex]x = 20[/tex]

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

Answer:

The domain of this exponential function is (all real numbers).

Step-by-step explanation:

The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.

I hope this helps!

Answer:

Try sketching an image of the rectangle. Area = length x width. To find the perimeter you would add up the length of all four sides.

Step-by-step explanation:

Answer:

5x + 6y = 12

Step-by-step explanation:

The standard form of a linear equation is  Ax + By = C.

Multiply both sides by  6

6y = 6(-5x/6 + 2)

Simplify the right side

Simplify  

6(−5x/6+2)

Apply the distributive property =  a  ( b + c )  = ab + ac

6y = 6( −5x/6) + 6 ⋅ 2

Cancel the common factor of  6

Move the leading negative in  −5x/6 into the numerator

6y = 6 −5x/6 + 6 ⋅ 2

Cancel the common factor 6

Rewrite the expression

6y  = −5x + 6 ⋅ 2

Multiply  6  by 2

6y = -5x + 12

Move all terms containing variables to the left side of the equation

Add  5x to both sides of the equation.

6y + 5x = 12

Reorder 6y and 5x

5x + 6y = 12

Answer:

981.75

Step-by-step explanation:

The area of a circle is πr^2, but this a semi circle, so you need to half it.

Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

b and c are the answers i think....

Answer:

3 hours or more

Step-by-step explanation:

why because of the games and entertainment

Answer:

8762

Step-by-step explanation:

Exponential decay equation

Initial = 18000

Rate 6% = 0.06

Time = 12

Answer:

$8567

Step-by-step explanation:

In the image the answer is given.

Formula of depreciation is used in the answer.

Answer:

1. is a solution

2. is a solution

3. not a solution

4. not a solution

5. not a solution

6. is a solution

7. is a solution

8. not a solution

Step-by-step explanation:

Answer: 1. 24

2. 32

3. 22

4. 16

5. 14

6. 34

7. 44

8. 30

9. 24

10. 50

Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest