The value of x that makes m║n is 40°
<h3>Line of transverse on parallel lines: </h3>
In geometry, the line that intersects two straight lines at distinct points is known as a transversal.
<h3>Corresponding angles: </h3>
The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.
Note:
Two corresponding angles are formed by a transversal with two parallel lines that are equal
Here we have
The angle made by the intersecting line with line m is 120°
And the angle made by the same line with line n is 3x°
Let us assume that m║n
From above observations
The given angle are corresponding angles
=> 3x° = 120°
=> x° = 40°
Therefore,
The value of x that makes m║n is 40°
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Ans=D
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The absolute value is the value of the number without the sign. So in this case it's 3 and -3
Answer:
Solution :
{x,y} = {0/14261512,4}
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x + 4
// Plug this in for variable y in equation [1]
[1] 12x - 5•(x +4) = -20
[1] 7x = 0
// Solve equation [1] for the variable x
[1] 7x = 0
[1] x = 0
// By now we know this much :
x = 0
y = x+4
// Use the x value to solve for y
y = (-0/14261512)+4 = 4
