A filing unit has six shelves and holds 180 inches of filing. How many inches of filing does each shelf hold

postulate,

definition,

theorem.

1) Through any two points, there is exactly one line.- postulate

2) A line segment is a part of a line and is bounded by two endpoint. - Definition

3) If two lines intersect, then each pair of opposite angles are congruent. - Theorem

"These are statements that are assumed to be true without proof."

"It is used to give a precise meaning to a new term."

"It is a statement that can be proved to be true by accepted mathematical operations and arguments"

For given question,

We have been given three statements.

We need to classify them as theorem, postulate and definition.

The first statement is 'Through any two points, there is exactly one line.'

We know that this is the fundamental postulate use in Geometry.

The second statement is 'A line segment is a part of a line and is bounded by two endpoint.'

Above statement is the definition of line segment.

The last statement is 'If two lines intersect, then each pair of opposite angles are congruent.'

We can prove above statement by using Euclid's axiom.

So, above statement is a theorem.

Therefore, 1) Through any two points, there is exactly one line.' - postulate

2) A line segment is a part of a line and is bounded by two endpoint. - Definition

3) If two lines intersect, then each pair of opposite angles are congruent. - Theorem

Learn more about postulate, theorem and definition here:

https://brainly.com/question/2725475

#SPJ2

Answer:

C

Step-by-step explanation:

I may be wrong...

Sooo sorry if I am

Answer:

subtract 4 from both sides

Step-by-step explanation:

you will then get -3y=27 as your equation then you just divide each side by -3 and your answer will be y = -9

Answer:

Step-by-step explanation:

4 - 3y = 31

Step 1:  Subtract 4 from both sides

        -3y =  31 -4

         -3y = 27

Step 2:  Divide both sides by (-3)

[tex]\dfrac{-3y}{-3}=\dfrac{27}{-3}[/tex]

 y = -9

Answer:

x + y =2

-x         -x

y = -1x + 2

Perpendicular is y= 1x + 2

Step-by-step explanation:

Answer:

It can... an isosceles triangle by definition has two or more congruent sides. An equilateral triangle will always have three congruent sides. An equilateral triangle will always be an isosceles triangle but an isosceles triangle will not always be an equilateral triangle. I hope this helps!

Step-by-step explanation:

Answer:

450 minutes

Step-by-step explanation:

1st plan

18 + 0.13x = y

2nd plan

0.17x = y

x is minute of calls

y is the total price customers must pay

both of them equal as y = y

y = y

18 + 0.13x = 0.17x

18 = 0.17x - 0.13x

18 = 0.04x

x = 18/0.04

x = 450 minutes

can you figure how much they should pay?

Answer: 12 is the dividend (sorry for the miss-conception on the question)

Step-by-step explanation:

i think its 2.5 because 15/6= 2.5 so 2.5t=h and the equation is kt=h so 2.5 makes the most sense.

I hope this helps

Answer:

5.8 or 29/5

Step-by-step explanation:

you have a typo mistake it's 61 not 16

Answer:

where is the questionss

Answer:

a = 16, b = 6, c = - 4, d = - 9

Step-by-step explanation:

Substitute the appropriate values of x into the equation and evaluate.

x = - 3 : y = 1 - 5(- 3) = 1 + 15 = 16 → a

x = - 1 : y = 1 - 5(- 1) = 1 + 5 = 6 → b

x = 1 : y = 1 - 5(1) = 1 - 5 = - 4 → c

x = 2 : y = 1 - 5(2) = 1 - 10 = - 9 → d

Answer:

a=16; b=6, c= -4, d= -9

Step-by-step explanation:

[tex]f(x)=1-5x\\f(-3) = 1-5(-3)=1+15=16\\f(-1) = 6\\f(1)=-4\\f(2)=-9[/tex]

Answer:

x=13

z=79

Step-by-step explanation:

The angles given are supplementary. This means that when added their sum will be 180. So add the 2 expressions together and set them equal to 180.

Then, you have to find z. The angle z is congruent to the angle with the measure (8x-25). This is because they are vertical angles, and therefore congruent. So, plug 13 into the expression, 8(13)-25=79 degrees. Since that angle equals 79, z must also equal 79.

Answer:

no

Step-by-step explanation:

(√17)^2+(√204)^2=218,but 15^2=225,so this triangle isn't a right triangle

Answer:

(5^4)^2

Step-by-step explanation:

Answer:

( -1,7)

Step-by-step explanation:

{ refer attachment }

Answer:

The answer would be (-1,7)

Step-by-step explanation:

Using the process of elimination we can subtract the two equations to cancel out the y variable. That is subtract the second equation from the first.

 3x + y = 4

- 2x + y = 5

  x        = -1

Now that we have found x we can substitute -1 for x into any equation for y. So, in substituting -1 for x in the  second equation we get:

2(-1) + y = 5

-2 + y = 5

y = 5 + 2

y = 7

ANSWER: (-1, 7)

Answer:

im not sure but ur mum said 525ml

Step-by-step explanation:

Answer:

Ndjdhzhsbbsjxidibdvxbxhxhxjxjxj

Step-by-step explanation:

Ndjdhzhsbbsjxidibdvxbxhxhxjxjxj es la respuesta correcta. Buen trabajo.

Answer:

Your answer is 8. Divide the volume by the product of the length and height to calculate the rectangular prism's width. 7.5*5=37.5 300/37.5=8m

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Hope this help!

Answer:

Multiply

Step-by-step explanation:

You need to multiply the number by 10 or 100 or 1000 according to the number. but after multiplying it should become a whole digit. And you also need to multiply 10 or 100 or 1000 in the dividend.

Hope this has helped you.

A quadratic equation is in the form of ax²+bx+c. The solution of the given quadratic equation is 2 and -5.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Given the quadratic equation x²+3x-10=0, the solution to this equation can be done as shown below.

x² + 3x - 10 = 0

Keep x terms on the left and move the constant to the right side by adding it on both sides,

x² + 3x = 10

Take half of the x term and square it,

x = (3/2)² = 9/4

Then add the result to both sides

x² + 3x + (9/4) = 10 + (9/4)

Combine terms on the right,

(x + 3/2)² = 49/4

Taking under root,

x + 3/2 = ± 7/2

Now,

x = 7/2 - 3/2 = 2

x = -7/2 - 3/2 = -5

Hence, the solution of the given quadratic equation is 2 and -5.

Learn more about Quadratic Equations here:

https://brainly.com/question/17177510

#SPj5

Answer:

7

Step-by-step explanation:

odd prime numbers < 20 are

3, 5, 7, 11, 13, 17, 19

Answer:

Gradient: -4

y-intercept: [tex]-\frac{9}{2}[/tex]

Step-by-step explanation:

Step 1 - Subtract 8x from both sides to isolate the 2y + 9

[tex]8x + 2y + 9 = 0\\8x + 2y + 9 - 8x = 0 - 8x\\2y + 9 = -8x\\[/tex]

Step 2 - Subtract 9 from both sides to isolate the 2y:

[tex]2y + 9 = -8x\\2y + 9 - 9 = -8x - 9\\2y = -8x - 9[/tex]

Step 3 - Divide both sides of the equation by 2:

[tex]\frac{2y}{2} = \frac{-8x}{2} - \frac{9}{2}\\y = -4x - \frac{9}{2}[/tex]

In this form, y = mx + b, the m value is the gradient with the b value being the y-intercept. This means:

[tex]y = -4x - \frac{9}{2}\\\\m = -4\\b = -\frac{9}{2} \\\\[/tex]

Resulting in the gradient being -4 and the y-intercept being [tex]-\frac{9}{2}[/tex].

Hope this helps!

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

Fixed monthly expense but not fixed expenses monthly

answer is

[tex]1 \times \frac{2}{3} [/tex]