Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangl
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Consider the complete question is "The equation of the line is y=5x+1 and the equation of line
is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of is
.
Equation of is
.
To show:
The these line as parallel.
Solution:
We have,
...(i)
...(ii)
Equation (ii) can be written as
...(iii)
Slope intercept form of a line is
...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line .
On comparing (iii) with (iv), we get slope of line .
Since, , therefore, lines
and
and parallel because slope of two parallel lines are always equal.
Hence proved.
The equation is 36 - 4x = 6.
Solution:
To write the equation without fraction.
The denominators must be same to add/subtract the fractions.
LCM of 1, 9 and 3 = 9.
Multiply first term by and
by
to make the denominator same.
Multiply by 9 on both sides.
Both 9 in the numerator and denominator get canceled.
36 - 4x = 6
This term does not have fraction.
Hence the equation is 36 - 4x = 6.