find the center and the radius of the circle with the equation x^2+6x+y^2+4y+12=0

Answers

Answer 1

Answer:

(x + 3)² + (y+ 2)² = 1²

Step-by-step explanation:

The standard form for the equation of a circle with centre (a, b) and radius r is

(x - a)² + (y - b)² = r²

x² + 6x + y² + 4y + 12 =  0

Step 1. Subtract the constant from each side

x² + 6x +           y² + 4y        = -12

Step 2. Complete the squares for x and y

Square half the coefficients of x and y

(x² + 6x + 3²) + (y² + 4y + 2²) = -12 + 3² + 2²

Step 3. Write the lhs as squares of binomials

(x + 3)² + (y+ 2)² = -12 + 3² + 2²

Step 4. Convert the rhs to a square

(x + 3)² + (y+ 2)² = -12 + 9 + 4

(x + 3)² + (y+ 2)² = 1

(x + 3)² + (y+ 2)² = 1²

The graph below shows that this is the equation for a circle with

centre (-3, -2) and radius 1.

Find The Center And The Radius Of The Circle With The Equation X^2+6x+y^2+4y+12=0
Answer 2

The center and radius of the given circle are respectively; (-3, -2) and 1

What is the radius of the circle?

The standard form for the equation of a circle with it's centre coordinate (a, b) and radius r is given as;

(x - a)² + (y - b)² = r²

Now, we are given the circle equation to be; x² + 6x + y² + 4y + 12 =  0

Let us subtract 12 from both sides to leave only the variables on the left side;

x² + 6x + y² + 4y + 12 - 12 =  0 - 12

x² + 6x + y² + 4y = -12

Now let us complete the squares for variable x and y;

Square half the coefficients of x and y and add to both the x, y and constant to get;

(x² + 6x + 3²) + (y² + 4y + 2²) = -12 + 3² + 2²

(x² + 6x + 3²) + (y² + 4y + 2²) = -12 + 9 + 4

(x² + 6x + 3²) + (y² + 4y + 2²) = 1

Write the left hand side as squares of binomial to get;

(x + 3)² + (y+ 2)² = 1

This can be also written as;

(x + 3)² + (y+ 2)² = 1²

Thus, from the general standard form of equation of a circle, we can say that;

centre is at (-3, -2) and radius is 1.

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Related Questions

−3(2−0.4y)+5.6=0.4(3y+1)

Answers

Answer: y = 0.4

Step-by-step explanation: Using the distributive property, first by distributing the numbers outside the bracket to the ones inside.

( - 3 * 2 ) (- 3 *-0.4y) +5.6 = (0.4*3y) (0.4*1)

   - 6     +       1.2y  +   5.6  =  1.2y  +   0.4

Next step is to collect like terms :

(- 6 + 5.6) +1.2y  =  1.2y +0.4

- 0.4 +1.2y =1.2y +0.4

Next step is to get rid of of the 0.4 :

- 0.4 +1.2y =1.2y +0.4

+0.4                     +0.4

= 1.2y=1.2y+0.4

=1.2y-1.2y=0.4

y=0.4.

16. A store has 5 shelves of soup. There are 20 cans of soup on each shelf. How many cans of soup does the store have? Shade squares to make a diagram to show how you carn use the Distributive Property to find the number of cans of soup in the store.

Answers

Answer:

The store has 100 cans of soup

Step-by-step explanation:

20x5=100

Answer: 100 cans


Step-by-step explanation:

20 times 5 = 100

What is the volume of a cuboid when it is 4m by 4cm by 7cm

Answers

Answer:  The volume of the cuboid  is:  " 11 ,200 cm³ " .

_________________________________________________

Step-by-step explanation:

____________________________________________________

The formula for the volume of a "cuboid" ;

      which is given in:  "cubic units" ;  or,  "units³ " ;  is:

____________________________________________________

        →    Volume, "V" = length (L)  * width (w) * (height)  ;

____________________________________________________

 →  The 3 (three given values are "4m" , "4 cm" and "7cm" .

We need the units of measurement to be equal;  so we need to convert the " 4m " to "cm" :

 Note that:  " 1 m = 100 cm " ; {exact conversion} ;

 So:   4m ( 100 cm / 1 m) = (4 * 100) cm = 400 cm.

_____________________________________________________

Now, we can plug these values and solve for the volume; in units of "cm³ " ;

_____________________________________________________

 V = 400 cm * 4 cm * 7 cm ;

    =  400 * 4 * 7 * cm * cm * cm ;

    =  400 * 4 * 7 cm³ ;

    =  1600 * 7 cm³ ;

     =  11, 200 cm³

_____________________________________________________

The answer is:  " 11 ,200 cm³ " .

_____________________________________________________

1. Given the component form of vector v = (52, 12), which answer below could be the initial and terminal points for vector v?

A. initial (52, 12); terminal (0, 0)

B. initial (14, -5); terminal (66, 7)

C. initial (52, 0); terminal (0, 12)

D. initial (-12, 16); terminal (64, -4)

Answers

If we start from the origin, then the vector would be v = (52, 12) as given. But suppose we shift its initial point. Doing so would preserve its direction. For example, if we move its initial point to (1, 1), we'd have to shift its terminus by the same amount (1 unit to the right, 1 unit up) so that its terminal point would be (52 + 1, 12 + 1) = (53, 13).

Option A is not correct. If we want the vector to start at (52, 12), we have to adjust the terminus by the same distance by adding (52, 12) to the terminus. This means the resulting vector would start at (52, 12) and end at (52 + 52, 12 + 12) = (104, 24).

One important thing to observe here is that the difference between the terminal and initial points always returns v. In the first example: (53, 13) - (1, 1) = (52, 12). In checking option A: (104, 24) - (52, 12) = (52, 12). So to eliminate any other answer choices, all you need to do is subtract.

Option B is correct by this "rule". (66, 7) - (14, -5) = (52, 12).

Options C and D are not. (0, 12) - (52, 0) = (-52, 12), and (64, -4) - (-12, 16) = (76, -20).

Final answer:

The initial and terminal points that correctly represent the vector v = (52, 12) in component form are option B: initial (14, -5); terminal (66, 7), as these points give the same components when subtracted (terminal - initial).

Explanation:

The student is asking about the initial and terminal points for a vector given in component form. The vector v is (52, 12), which means it has an x-component of 52 and a y-component of 12. This can be visually represented as a directed line segment with an initial point and a terminal point. The correct initial and terminal points for vector v would result in the same component form when subtracting the coordinates of the initial point from the coordinates of the terminal point (terminal - initial).

Option B has the initial point (14, -5) and terminal point (66, 7). By calculating the difference between the terminal and initial points: (66 - 14, 7 - (-5)) = (52, 12), we can see that these points correctly represent the vector v in component form. Therefore, the answer is B.

Consider the functions shown below.





Determine which of the following statements is true.

A.
As the value of x decreases, both the values of f(x) and g(x) will eventually be negative.
B.
At x = -1, f(x) = g(x).
C.
For x ≤ 1, g(x) < f(x).
D.
As the value of x increases, the value of g(x) will eventually exceed the value of f(x).

Answers

Answer: D

Step-by-step explanation:

A. False

f(x): x → -∞, y → -∞

g(x): x → -∞, y → 1  

B. False

at x = -1, f(x) = -7

at x = -1, g(x) = 1.5

C. False

refer to A

g(x) → 1 and f(x) → -∞   so g(x) > f(x)

D. TRUE

It is hard to tell from the graph so plug in a value to check.

f(10) = 5(10) - 2

       = 50 - 2

       = 48

g(10) = 2¹⁰ + 1

        = 1024 + 1

        = 1025

g(10) > f(10)

PLEASE HELP!!!
What is the solution of the system? Use substitution.
−4y − 3x = −11
x − 2y = 17

A. (−9 ,−4)
B. (9, 4)
C. (9, −4)
D. (−9, 4)

Answers

Answer:

x=9, y=-4

C (9,-4)

Step-by-step explanation:

−4y − 3x = −11

x − 2y = 17

WE are using substitution, so solve the second equation for x

Add 2y to each side

x -2y+2y = 17+2y

x = 17+2y

Substitute this into the first equation

-4y -3x = -11

-4y -3(17+2y) = -11

Distribute the 3

-4y -3*17 -3*2y = -11

-4y -51 -6y = -11

Combine like terms

-10y-51=-11

Add 51 to each side

-10y-51+51=-11+51

-10y = 40

Divide by -10

-10y/-10 = 40/-10

y = -4

Now we need to find x

x= 17+2y

x = 17+ 2(-4)

x =17-8

x=9


By solving the second equation for x, substituting into the first equation, and simplifying, we find the solution to the system is (9, -4), which corresponds to Option C.

In order to find the solution of the system using substitution, we first solve one of the equations for x or y. Looking at the second equation x - 2y = 17, we can solve for x to get x = 2y + 17. Now we substitute this expression for x into the first equation - 4y - 3x = - 11, which gives us:

- 4y - 3(2y + 17) = - 11

Simplifying this equation, we obtain:

- 4y - 6y - 51 = - 11

Combine like terms:

- 10y - 51 = - 11

Add 51 to both sides:

- 10y = 40

Now, divide both sides by - 10 to find y:

y = - 4

After obtaining the value for y, we substitute it back into the equation we derived for x (x = 2y + 17):

x = 2( - 4) + 17

Which simplifies to:

x = - 8 + 17

Finally, we get x = 9.

The solution for the system is therefore (9, - 4), which corresponds to Option C.

what is the intercept for 2x-5y=10

Answers

Answer:

The y intercept is -2

Step-by-step explanation:

To find the y intercept, set x = 0 and solve for y

2x-5y=10

0  -5y = 10

Divide each side by -5

-5y/-5 = 10/-5

y = -2


can sombody explain how to solve this and give me the answer please

Answers

Answer: 12 texts per dollar.

The slope of the line is 1/5

Step-by-step explanation: If Ruby can send 48 text messages for $4, we divide 48 by 4 to get amount of texts per dollar: 12. Ruby can send 12 text messages for $1.

To figure out the slope of a line, use the formula y2 - y1 / x2 - x1.

-4 - (-9) / 22 - (-3) = 5 / 25 (rise over run)

Simplify to 1/5

Express the following as percentages. (i) 12 hours in 3 days

Answers

Hope it helps you buddy

Answer:

16 2/3 %

Step-by-step explanation:

To put this in a percentage, they need to have the same units.

Let convert days to hours

1 day = 24 hours

Multiply by 3

3 days = 72 hours


The percentage is part over whole

12 hours / 72 hours

We can simplify by dividing top and bottom by 12

1/6

This is a fraction, change this to a decimal

.166666666

Now multiply by 100

16.666666 %

16 2/3 %

I’m just not getting these right. Can someone help me?

Answers

Answer:

p = 12+5n

Step-by-step explanation:

For every added triangle, the perimeter only increases by 5.

For n=1, the perimeter is 6+6+5 = 17

For n=2, the perimeter is 6+6+5+5 = 22

So in general, the perimeter is 12 + 5n

Answer:

Q12. p = 5n + 12

Q13. See below.

Q14. y-intercept = (0, -3); x-intercept = (-3/2, 0).

Step-by-step explanations:

Question 12. Perimeter

      One triangle: p₁ = 2×6 + 1×5

    Two triangles: p₂ = 2×6 + 2×5

Three triangles : p₃ = 2×6 + 3×5

         n triangles: pₙ = 2×6 + n×5

General formula: p = 5n + 12

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

Question 13. Modelling a function

Here's one possible table of values.

x   y

-3    3

-2    1

-1   -1

0  -3

1   -5

You can see the graph of the function in Fig. 1 below.

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

Question 14. x- and y-intercepts

y- intercept

y = -2x – 3     Set x = 0

y = -2×0 – 3

y = 0 – 3

y = -3

The y-intercept is at (0, -3).

=====

x-intercept

y = -2x – 3      Set y = 0

0 = -2x – 3     Add 3 to each side

3 = -2x            Divide each side by -2

x = -3/2

The x-intercept is at (-3/2, 0).

Is 0.1875 closer to 1/8 or 1/4 inch on a number line?

Answers

It is closer to 1/4.

Hope this helps.

-TheOneandOnly003


Six donuts cost a total of $3.54 what is the cost for one donut? Six donuts cost a total of $3.54 what is the cost of one donut?

Answers

Answer:


Step-by-step explanation: the cost of one donut is $0.59 because when you divide 3.54 by 6, you get 0.59.


The cost for one donut will be the sixth part of $3.54 thus it will be $0.59 or 59 cents.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

For example 4/8

As per the given,

Six donuts cost a total of $3.54

Cost of one donut = $3.54/6 = $0.59 = 59 cents

Hence "The cost for one donut will be the sixth part of $3.54 thus it will be $0.59 or 59 cents".

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Given: Elmwood St. and Oak Dr. are the same distance. All intersections are perpendicular.

Prove: Peach Tree Dr. is the same distance as Sycamore Ln.

Answers

Answer:

The above result is proved with the help of Pythagoras theorem and explained below.

Step-by-step explanation:

Given figure ABCD in which AD=BC and all angles intersect at right angle. Hence, the triangle formed inside ADC and ABC are right angled triangle.

In triangle ADC,

By applying Pythagoras theorem, we get

[tex]AC^{2}=AD^{2}+DC^{2}[/tex]    →  (1)

In triangle ABC,

[tex]AC^{2}=AB^{2}+BC^{2}[/tex]    →  (2)

Now, from eq (1) and (2)

Peach Tree Dr. is the same distance as Sycamore Ln.


[tex]AD^{2}+DC^{2} = AB^{2}+BC^{2}[/tex]

⇒ [tex]DC^{2} = AB^{2}[/tex]              (∵ AD=BC)

DC=AB                    (∵Distance can never negative)

Therefore, Peach Tree Dr. is the same distance as Sycamore Ln.


21=3r squared how do I solve that?

Answers

Answer:

±sqrt(7) = r

Step-by-step explanation:

21 = 3r^2

Divide each side by 3

21/3 = 3r^2/3

7 = r^2

Take the square root of each side

±sqrt(7) = sqrt(r^2)

±sqrt(7) = r

two trains,Old Steamy and Chug-a-Lug,are 290 miles apart from each other and headed for the same station. They started toward the station at 8:00 a.m. If they are both set to arrive at 10:30 a.m. and Old Steamy is going 6.14 mph, how fast must Chug-a-Lug be going? How far does Chug-a-Lug have to travel?

Answers

8 am to 10:30 am is 2.50 hours.


Old Steamy is going 6.14 mph for 2.5 hours so travels : 6.14 * 2.5 = 15.35 miles.


This means Chug a lug has to travel 290 - 15.35 = 274.65 miles in 2.5 hours.


The speed would be 274.65 / 2.5 = 109.86 miles per hour.

Answer:

The speed of Old Steamy train = 6.14 mph

Train started at 8 a.m. and arrived at 10.30 a.m, this becomes 2.5 hours.

So, distance traveled by Old Steamy train = [tex]Speed\times time[/tex]

=> [tex]6.14\times2.5=15.35[/tex] miles

Now we get that Chug-a-Lug was 290 miles behind the Old steamy.

To know the distance traveled by Chug-a-Lug, we will add distance traveled by Old Steamy to the station plus the distance between the trains.

So, distance traveled by Chug-a-Lug = [tex]15.35+290=305.35[/tex] miles

The speed of Chug-a-Lug =[tex]\frac{Distance}{Time}[/tex]

= [tex]\frac{305.35}{2.5}=122.14[/tex] mph

Stella initially put $5 into a piggy bank. Over the next few years she continued to put all of her coins in the piggy bank, such that each year the amount of money in the piggy bank doubled. Determine the equation that represents this situation and use it to decide which of the following graphs represents the amount of money, A(x), in Stella's piggy bank after x years.

Answers

Answer:

[tex]A(x)=5\cdot 2^x[/tex]

Step-by-step explanation:

The given scenario can be represented by an exponential growth function. The general form if the exponential growth function is,

[tex]y=a(1+r)^x[/tex]

where,

y = the future amount after time x,

a = initial amount,

r = rate of growth.

As here A(x) represents the amount of money after x years with initial deposit of  $5 and in each year the amount doubles or duplicates itself i.e r=100% = 1, so the function would be,

[tex]A(x)=5(1+1)^x=5\cdot 2^x[/tex]

At the beginning the amount was $5, so the y intercept of the graph will be at 5.

Answer:

It’s Z Bc that’s the only one that starts at 5 and then doubles each year

PLEASE HELP!!


What is the solution of the system? Use substitution.

y = −3x

x + y = −4


A. (-2,-6)

B. (2, −6)

C. (2, 6)

D. (−2, 6)

Answers

Answer:

x=2 ,y=-6

B (2,-6)

Step-by-step explanation:

y = -3x

x+y = -4

Substitute -3x for y in the second equation

x+y = -4

x+ (-3x) = -4

Combine like terms

-2x = -4

Divide by -2 on each side

-2x/-2 = -4/-2

x = 2

Now we still need to find y

y = -3x

Substitute x=2

y = -3(2)

y = -6

divide 24 fish into five groups. What is the remainder of this division? Hint: Group the fish into sets of 5, and count how many sets are there.

Answers

Answer:

4.4

Step-by-step explanation:

The answer is 4.4 because if you know that 5*4 equal 20 so 4 can go each of the 5 groups so 24-20 leaves you with 4 so your answer is 4 remainder 4

If I was to group them, it would be in 4 groups with 4 fishes left out. So basically, the remainder of the division is 4 since 4 are left out.the full answer is 4.4

Jay is running 6 miles. He had run 2/3 of the total distance. How far has he run to the nearest yard ?

Answers

Final answer:

Jay has run two-thirds of 6 miles, that is, 4 miles. When converted to yards, it is approximately 7040 yards.

Explanation:

To find out how far Jay has run to the nearest yard, we first need to find out 2/3 of 6 miles since Jay has run this fraction of the distance. You can calculate two-thirds of a total by multiplying the total by 2/3. So, Jay has run 2/3 * 6 miles, which equals 4 miles.

Since we want to find out how far he has run in yards, we need to convert these miles to yards. We know that 1 mile is approximately 1760 yards. Hence, Jay has run approximately 4 * 1760 = 7040 yards.

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After recording the maximum distance possible when driving a new electric car this study showed the distance is follow the normal distribution the mean distance is 134 miles and the standard deviation is 4.8 miles find the probability that in a random test from the car will travel maximum distance between 125 and 135 miles

Answers

the answer is 0.5531 (✿◠‿◠)

Final answer:

To find the probability that the car will travel a maximum distance between 125 and 135 miles, we need to calculate the z-scores for these distances and find the corresponding probabilities using a standard normal distribution table or calculator.

Explanation:

To find the probability that the car will travel a maximum distance between 125 and 135 miles, we need to calculate the z-scores for these distances using the formula: z = (x - mean) / standard deviation.

For 125 miles: z = (125 - 134) / 4.8 = -1.875.

For 135 miles: z = (135 - 134) / 4.8 = 0.208.

Next, we need to find the corresponding probabilities for these z-scores using a standard normal distribution table or calculator. The probability of a z-score less than -1.875 is approximately 0.0301, and the probability of a z-score less than 0.208 is approximately 0.5829.

To find the probability between 125 and 135 miles, we subtract the probability of a z-score less than 125 from the probability of a z-score less than 135: 0.5829 - 0.0301 = 0.5528.

Therefore, the probability that the car will travel a maximum distance between 125 and 135 miles is approximately 0.5528 or 55.28%.

Can you help me answer 1-11?

Answers

Answer:

1. h Multiplication property for inequality

2. b Addition property for inequality.

3. i Set builder

4. f Intersection

5. k Union

6. j Subtraction property for inequalities

7. d Division property for inequality.

8. e Greater than

9. g less than

10. c compound

11. a Absolute value inequality.

Step-by-step explanation:

1/2x ≤ -5    Multiplying by 2 on both sides of the inequality

x ≤ -10

2)  8 > 4         Adding 5 on both sides of the inequality.

     8 + 5 > 4+5

      13 > 9

3)  {h/h > 43}  set builder

4) x ≥ -3  or x < -10   Intersection

5)  x ≥ -4 and x < 2

6) 4x - 1 < 7     Subtract 3 on both sides

   4x - 1 - 3 < 7 - 3

  4x - 4 < 4

7)  -3x < 9   Divide by -3 on both sides

    x > -3

8)  >  This sign means greater than

9)  < This an operation sign means less than

10) 7 > x > 1 This means that x x, 7 and x > 1.

11) /x + 6/ > 12

  This means that:

   (x + 6) > 12   or - (x + 6) > 12.   Absolute value inequality.

(Can someone please help. It's due ASAP.)The number k and 1.4 are additive inverses. Drag and drop 1.4 and k to their correct positions on the number line. Drag and drop the label " Sum" to the sum of 1.4 and k. ( I'll post a picture of the graph). ( Question 2) Drag and drop each expression into the box to correctly classify it as having a positive or negative product. ( -2/5)(2/5), (-2/5)(-2/5), (2/5)(-2/5), (2/5)(2/5).

Answers

1.4 is the additive inverse
》 so, 1.4+ h=0
》 h= -1.4
》the sum Is 0

Answer:

put the sum on 0, put 1.4 4 spaces away from the positive 1 and put k four spaces away from the negative 1

Step-by-step explanation:


show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this

Answers

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R


           

Which number sentence is not true

Answers

A.
The absolute value of -20 is 20. 20 = 20

The  number sentence that  is not true is |-20| < 20 , option A

How can the number sentence be known?

Let us consider each of the options;

Option A;

|-20| < 20

20<20

This statement is wrong because 20 is not less than 20

Option B

|9|=9

9=9

This statement is correct mathematically, hence the correct statement

Option C

|-20|>|9|

20>9

This statement is correct mathematically, hence the correct statement

Option D

|9|<|20|

9<20

This statement is correct mathematically, hence the correct statement

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Enter an equation that passes through the point (12, 7) and forms a system of linear equations with no solution when combined with the equation y=−34x+8.

Answers

Answer:

y=-0.75x+16

Step-by-step explanation:


Answer:

y=-0.75x+16

Step-by-step explanation:

Find the Value of y so that the line passing through the two points has the given slope.

1) (0,y), (2,7); m= 1/2

Answers

Answer:

The value of y is 6.

Step-by-step explanation:

To find the value of y, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

1/2 = (7 - y)/(2 - 0)

1/2 = (7 - y)/2

Now we can use cross multiplication to solve for y.

1/2 = (7 - y)/2

1*2 = 2(7 - y)

2 = 14 - 2y

-12 = -2y

6 = y

Use the discrimant to determine the number of real roots of M(x)= -4x^2+x+1?

Answers

Answer:

two real different roots

Step-by-step explanation:

Consider polynomial function

[tex]M(x)=-4x^2+x+1.[/tex]

The discriminant is

[tex]D=b^2-4ac=1^2-4\cdot (-4)\cdot 1=1+16=17.[/tex]

Since [tex]D>0,[/tex] the polynomial function [tex]M(x)[/tex] has two real different roots.

64% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?

Answers

About 16/25 fraction of the animal shelter are dogs.


Hope helps!-Aparri

Answer:

[tex]\frac{16}{25}[/tex]

Step-by-step explanation:

64% of the animals at an animal shelter are dogs.

This can also be expressed as: [tex]\frac{64}{100}[/tex] of the animals are dogs

Simplifying gives a fraction: [tex]\frac{16}{25}[/tex] of the animals are dogs.


I’m sorry for anyone’s that’s seeing this I’m just having a hard time and I really don’t like math

Answers

Answer: x = 7.2

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

Explanation:

As shown in the diagram (see attached image below), the red interior angles are

180-10x

180-15x

180-20x

180-5x

Each of those expressions is in the form 180-E, with E as the exterior angle. Add up the interior angles. Set the sum equal to 360 and solve for x. For any quadrilateral, the four interior angles always add to 360.

(angle1)+(angle2)+(angle3)+(angle4) = 360

(180-10x) + (180-15x) + (180-20x) + (180-5x) = 360

(180+180+180+180)+(-10x-15x-20x-5x) = 360

720-50x = 360

-50x = 360-720

-50x = -360

x = -360/(-50)

x = 36/5

x = 7.2

a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers , what is the area od the park

Answers

Step by step explanation: 12.5 x 4

Answer: 50.

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