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17 votes
Solve for x.

3x-3/4x+3
-
When angles form a linear pair, their sum is 180°.
8x 3 + 4x + 3 = 180
[?]+[] = 180
Hint: First we must combine like terms. Calculate the sum
of 8x and 4x and enter the value of the coefficient.
Enter


can anyone help me ? and show solving steps if possible

Solve for x. 3x-3/4x+3 - When angles form a linear pair, their sum is 180°. 8x 3 + 4x-example-1
User Gnawme
by
3.4k points

2 Answers

5 votes

Explanation -:

In this question we are provided with the two angles that is 8x - 3 and 4x + 3 respectively. It is also given that the sum of this two angles is 180°.

To solve this question we will combine the like terms and there sum must be 180°.


\small\sf{ 8x - 3 + 4x + 3 = 180°}


\bull \: \small\sf{ We \: will \: cancel \: 3 \: because \: they \: are \: of \: opposite \: signs }


\small\rm 8x + 4x = 180 \degree


\bull \: \small\sf{Addition}


\small\rm{ 12x = 180 \degree}


\bull \: \small\sf{ Divide\: both \: side \: by \: 12}


\small\rm{ (12x)/(12) = (180)/(12) \: = 15 \degree}


\small \underline{ \boxed{\sf{x = 15} }}


\rule{71mm}{4pt}

User Skiphoppy
by
3.3k points
9 votes

Answer:

Explanation:

Remark

They are asking you to combine like terms. The total should be 180.

Givens

2 angles

  • 8x - 3
  • 4x + 3

Total 180

Solution

8x - 3 + 4x + 3 = 180 The threes cancel. So add what's left. They are of opposite signs, so they cancel.

12x = 180 Divide both sides by 12

12x/12 = 180 /12

x = 15

User JimmyCarlos
by
3.9k points