The equation of L1 is y=5x+1 The equation of L2 is 2y-10x+3=0
Show that these two lines are parallel

Both L1 and L2 has a slope of 5 so they are parallel.

Step-by-step explanation:

Line1:  y = 5x + 1

Line2:  y = 5x - 1.5

Both L1 and L2 has same slope of 5 so they are parallel.

2y -10x + 3=0

2y = 10x - 3

y = 5x - 1.5

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 1 ← is in slope- intercept form

with slope m = 5

Given

2y - 10x + 3 = 0 ( add 10x and subtract 3 from both sides )

2y = 10x - 3 ( divide the 3 terms by 2 )

y = 5x - ← in slope- intercept form

with slope m = 5

Since both lines have a slope of 5, then they are parallel

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc