2^4 - 7^3 – 15^2 = 0

Answer:

a. 9 sides

b. 18 sides

c. 24 sides

d. 30 sides

Step-by-step explanation:

We can use the equation 180(n-2), which n is the number of sides to find the answer.

a. 180(n-2)=1260

n-2=7

n=9

b. 180(n-2)=2880

n-2=16

n=18

c. 180(n-2)=3960

n-2=22

n=24

d. 180(n-2)=5040

n-2=28

n=30

Answer:

a) 9 sides

b) 18 sides

c) 24 sides

d) 30 sides

Step-by-step explanation:

sum of interior angles = (n - 2) * 180

where n is the number of sides

a) 1260

(n - 2) * 180 = 1260

(n - 2) = 1260/180

(n - 2) = 7

n = 7 + 2

n =  9

b) 2880

(n - 2) * 180 = 2880

(n - 2) = 2880/180

(n - 2) = 16

n = 16 + 2

n =  18

c) 3960

(n - 2) * 180 = 3960

(n - 2) = 3960/180

(n - 2) = 22

n = 22 + 2

n = 24

d) 5040

(n - 2) * 180 = 5040

(n - 2) = 5040/180

(n - 2) = 28

n = 28 + 2

n = 30

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)

Answer:

here you go. hope this helps!

Answer:39 i dont im 12 ps out

Step-by-step explanation:

Answer:

Value of what?

Step-by-step explanation:

Put your question DB and I'll answer!

Answer:

x = 15

Step-by-step explanation:

x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.

Note: I'm not quite sure what the question is on this one, but I hope I could help.

Answer: each ticket cost 5 dollar

Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

Answer:

x + y + z = 123

Step-by-step explanation:

x:y:z = 7:2:5

Let x = 7a, y = 2a, z = 5a

Since x - z = 18

Therefore,

7a - 5a = 18

2a + 18

a = 18/2

a = 9

7a = 7*9 = 63

2a = 2*9= 15

5a = 5*9 = 45

x + y + z = 63 + 15 + 45

x + y + z = 123

Answer: 5,

Step-by-step explanation: I got it right, and I hope this helps you! ✨

Answer:

the evaluation of the equation is 5

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Answer:

-3

Step-by-step explanation:

The rise is 6 and the run is 2

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Answer:

120 square feet

Step-by-step explanation:

they are similar so they are in a ratio 20/10=2 so smaller triangle is twice the larger one 6×2=12ft

area of triangle =1/2×base×height

=1/2×20×12

=120 square feet

Answer:

-90%

Step-by-step explanation:

Change/ original x 100

9000-900= 8100

8100/9000= 0.9

0.9 x 100 = 90

Answer:

∠ JKL = 32°

Step-by-step explanation:

Since KN bisects ∠ LKM , then

∠ LKN = ∠ NKM = 35°

Thus

∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM

         = 102° - 35° - 35°

        = 102° - 70°

         = 32°

Answer:

<stv and <stq

Step-by-step explanation:

adjacent angles have the same vertex and are side by side.

Answer:

the answer is 8

Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours

Answer:

-72

Step-by-step explanation:

first replace x with -12 so 5(-12)-12

then simplify which makes it -60-12

finally solve that which gives you -72

hope this helps :)

Answer:

1:2

Step-by-step explanation:

By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20

Answer:

1 : 2

Step-by-step explanation:

20 : 40

20/10 : 4/10

2 : 4

2/2 : 4/2

1 : 2

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

Answer:

c and g

Step-by-step explanation:

Answer:

<1=83

<2=97

<3= 83 (given)

<4=97

<5=83

<6=97

<7=83

<8=97

Step-by-step explanation:

They give you the angle for 3 which is 83, so from there all you have to do is find the equivalent angles which are angle 1,5,7. Then for angles 2,4,6,8 you subtract 83 from 180 and you get 97.

Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

Answer:

#1: Dillon, Harry, Paul, Winston #2: B

Step-by-step explanation:

#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.

#2: Count by 10's, it's on the 50 line

Answer:

1)Dillon, Harry, Paul and Winston

2) C

Answer:

7.1 yard per min

Step-by-step explanation:

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°