Oh my God I’m doing the same thing in school not the same question but it is so hard I wish I could help you but I’m confused on that subject to
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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13-4x=1-x
13=4x+x=1-x+x
13-3x=1
13-1-3x=1-1
12-3x=0
12=3x
12/3=3x/3
4=x
Therefore, x=4
First off, you didn’t really ask a question you just told us what the thickness of the wood pieces are. But if you are trying to get a equal denominator you first write out the two fractions side by side and find a common denominator.
3/4 and 2/3
The lowest common denominator between 4 and 3 is 12 so in the first equation you multiply both the top and bottom by 3.
3/4 —> 3 times 3 is 9 and 4 times 3 is 12.
To make it 9/12
The second equation you do the same to make both the denominators equal but this time you multiply them by 4.
2/3 —> 2 times 4 is 8 and 3 times 4 is 12.
Making it 8/12
So side by side the two piece of wood started out as
3/4 and 2/3
But the first piece is bigger as it turned into
9/12 and 8/12