What is the value of x? Use an informal argument to justify your answer *

Answer:

150°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° ( n - 2) ← n is the number of sides

Here n = 12, then

sum = 180° × 10 = 1800°

Since there are 12 interior angles, then

size of each interior angle = 1800° ÷ 12 = 150°

Answer:

5 hours 8 mins?

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Given

3z² - 6z ← substitute z = 5 into the expression

= 3(5)² - 6(5)

= 3(25) - 30

= 75 - 30

= 45

Answer:

Step-by-step explanation:

First, convert the z’s to numbers.

3(5) squared - 6(5)

do the squared first

3(25)-6(5)

multiply

75-30=45

Answer:45

Answer:

21.8901 g

Step-by-step explanation:

Given that:

1 gram of pure salt contains 0.393 g of sodium

1 gram = 0.393g

Gram of sodium in 55.7g of pure salt will be x

1g = 0.393g

55.7g = x

Cross multiply:

x = 55.7 * 0.393

x = 21.8901

55.7 g of pure salt will contain about 21.8901 g of sodium chloride

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Answer: Part A.  B origin    Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.

Part B: The coordinate. Part B the coordinates of the origin are (0,0).

Answer:

A 1,1

Step-by-step explanation:

Answer:

C = 95 degrees.

Step-by-step explanation:

The line is being intersected by parallel lines, so that means that those angles will add up to 180. 180-85=95.

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

Answer:

-55

Step-by-step explanation:

7x-6y=2

-2x-y=3

by substitution method

y=3+2x

7x-6(3+2x)=2

7x-18-12x=2

-5x=20

x=-4

-2(-4)-y=3

8-y=3

-y=3-8

y=5

therefore the value of x=4 and that of y=5

5x-7y=5(-4)-7(5)

=-20-35

=-55

Answer:

Step-by-step explanation:

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Answer:

-14, -12, 0, 6, 8

Step-by-step explanation:

Answer: -14, -12, 0, 6, 8

Step-by-step explanation:

This is correct because -14 is the number with the smallest value so it belongs last. Then comes -12, 0, 6, 8.

Hope this helps ;)

Answer:

10

Step-by-step explanation:

2pi(5) is 31.42.

31.42/pi gets you exactly 10pi meters.

Answer:

30

Step-by-step explanation:

That means that there are 6 pie pieces in each pie so just multiply by 5

another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6

Answer:

y=-20x-12

Step-by-step explanation:

Answer:

3.51

Step-by-step explanation:

yes

Answer:

3.28

Step-by-step explanation:

Answer:

y=4/5x

Step-by-step explanation:

If you multiply the x value of 10, substitute it into the equation. Using the equation y=4/5x, you will get the y value of 8.

When you substitute the x value of 5 into the equation. You will get 4.

You do this for the rest of the x values and will get the correct y values.

Answer:

Step-by-step explanation:

Equation for customer A:

Equation for customer B:

Subtract the first equation from the second and solve for y:

Find x by substituting the value of y:

The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).

B.

2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).

C.

2n² + 49:

This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.

D.

4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)

Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ2

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

The perfect square ( x -1 )² = 2

Step-by-step explanation:

Explanation:-

Given equation  x² - 2 x = 1

              ⇒        x² - 2 x + 1 -1 = 1

             ⇒        x² - 2x + 1² = 1 +1

             ⇒     ( x -1 )² = 2

i would but i need the picture

Answer:

None of them. The proper expression(s) to split the debt are:

5400 / 8

or

8x=5400

Answer:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10

Answer:

- 45

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

Step-by-step explanation:

we will add like terms

-2x-2<8

we will add 2 on both sides

-2x<10

divide by 2

-x<5

multiply by -1

x>-5