48 = 12*4
12 = 12*1
The greatest common factor of 12 and 48 is 12
Answer:
me
Step-by-step explanation:
Answer:
The angles are 15 degrees, 45 degrees and 120 degrees
Step-by-step explanation:
The triangle has three three sides and three angles. The sum of the angles in a triangle is 180 degrees
Let x = the size of the largest angle of the triangle
Let y = the size of the middle angle of the triangle
Let z = the size of the smallest angle of the triangle.
x + y + z = 180 - - - - -- - - - - - - 1
The size of the largest angle is eight times the size of the smallest angle.
This means
x = 8z
The size of the middle angle is triple the size of the smallest angle. This means
y = 3z
Put x = 8z and y = 3z in equation 1
8z + 3z + z= 180
12z = 180
z = 180/12 = 15
x = 8z = 8×15 = 120
y = 3z = 3 × 15 = 45
Answer:
Solution ( 
, 
)
Step-by-step explanation:
Given : 3x - 2y = 12 and 6x + 3y = 21.
To find : Solve the system of equations and choose the correct ordered pair.
Solution : We have given
3x - 2y = 12 -------(1)
6x + 3y = 21-------(2)
Multiplying the equation(1) by 2 , it become.
6x - 4y = 24 .
Now subtract it from equation (2).
6x + 3y = 21
(-)6x - (+)4y = (-)24 .
____________
0 + 7y = -3.
On dividing both sides by 7.
y = .
Plug the y = in equation 2 .
6x + 
= 21
6x + 
= 21.
On multiplying both sides by 7
42x -9 = 21 *7 .
42x -9 = 147 .
On adding both sides by 9
42x = 147 + 9 .
42x = 156.
On dividing both sides by 42.
x = 
.
x = .
Therefore, Solution ( , )
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2x° + 2x° + 76° = 180° ( being supplementary angle )
4x° = 180° - 76°
4x° = 104°
x = 104/4
x = 26°
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<em>“Everything is within your power,</em>
<em>and your power is within you.”</em>
<em>― Janice Trachtman, Catching What Life Throws at You: Inspiring True Stories of Healing</em>
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