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Sindrei [870]
3 years ago
5

Why is a ray a defined term

Mathematics
1 answer:
Lorico [155]3 years ago
5 0
Undefined terms in geometry are point, line, and plane. They are undefined terms because they are concepts and that either their dimensions or thickness can vary.

For example, a point is a location/position in space and it has no dimensions or thickness. In other words, a point has no specific size.

A line extends in both directions to infinity and also has no specific thickness.

All other terms in geometry are called defined terms because they rely on these three undefined terms, so a ray is defined because it uses undefined terms. A ray is defined as a portion of a line that starts at a point and goes to infinity in a particular direction.
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vampirchik [111]

Answer:

  • Solution of equation ( x ) = <u>7</u>

Step-by-step explanation:

In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

<u>\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )</u>

<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

\quad \longrightarrow \:20x - 8 = 18x + 6

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

\quad \longrightarrow \:20x - \cancel{ 8 }+  \cancel{8} = 18x + 6 + 8

On further calculations we get :

\quad \longrightarrow \:20x = 18x + 14

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

\quad \longrightarrow \:20x - 18x =  \cancel{18x }+ 14 -  \cancel{18}

On further calculations we get :

\quad \longrightarrow \:2x = 14

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}}  =   \cancel{\frac{14}{2} }

On further calculations we get :

\quad \longrightarrow \:  \blue{\boxed{ \frak{x = 7}}}

  • <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

We are verifying our answer by substituting value of x in given equation. So ,

  • 4 ( 5x - 2 ) = 2 ( 9x + 3 )

  • 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

  • 4 ( 35 - 2 ) = 2 ( 63 + 3 )

  • 4 ( 33 ) = 2 ( 66 )

  • 132 = 132

  • L.H.S = R.H.S

  • Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
4 0
2 years ago
Read 2 more answers
Write 6.2 as a fraction and in word form.
nevsk [136]

6.2:

fraction: .2 = 0.20 = 20/100

fraction: 6 20/100

Word form: six point two

two and five hundredths

fraction: 2 5/100

decimal form 2.05

hope this helps

3 0
3 years ago
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The following graph represents the cost and revenue functions for custom made computers. How many computers have been sold at th
svetlana [45]
The answer is A) 12
Hope this helped
Pls give me brainlest
5 0
3 years ago
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What is the solution to the system of equations?
elixir [45]

Answer:

No solution

Step-by-step explanation:

-3x-4y-3z=-7\\2x-6y+2z=3\\5x-2y+5z=9\\\\

Lets consider the equation 2.

Here we multiply the LHS and RHS with (-1).

-3x-4y-3z=-7\\-(2x-6y+2z)=-3\\5x-2y+5z=9\\\\

Hence,

-3x-4y-3z=-7\\-2x+6y-2z=-3\\5x-2y+5z=9\\\\

When we add the equations we get,

0x+0y+0z=-10+9\\Hence,\\0=-1

As 0 doesn't equal to -1, answer is d) No solution

6 0
2 years ago
What is the correct answer?
emmainna [20.7K]

Answer:

68

Step-by-step explanation:

5 0
3 years ago
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