Answer:
40. Alternate exterior angles.
41. 
.
42. 
43. 
Step-by-step explanation:
Given:
From the figure, l and m are 2 lines and p and n are the transversals on the 2 lines.
Question 40:
[tex]m\angle 10\textrm{ and }m\angle 6[/tex] lie exterior to lines l and m are also alternate to each other. Therefore, they are called as a pair of alternate exterior angles.
Question 41:
If lines l || m, then the angles 
are a pair of supplementary angles.
Therefore, the sum of angles 2 and 3 is equal to 180.
Therefore, .
Question 42:
If lines l || m, then the angles 
are a pair of alternate interior angles and equal to each other.
Therefore, 
Therefore, .
Question 43:
If lines l || m, then the angles 
are a pair of alternate exterior angles and equal to each other.
Therefore, 
Therefore, .
Answer:
Step-by-step explanation:
She received 80 votes
2/3x120=80
Step-by-step explanation:
no, no, you use the equation to identify a, b and c.
then you use the formula with these values to get the solutions to the equation (the values of x for which the equation delivers 0).
always remember, a quadratic equation always has 2 solutions. sometimes at least one of them are not a real number, sometimes the 2 springs are equal, ...
x² - 4x - 2 = 0
a, b, c are the factors of the terms in x and the constant term.
so,
a = 1
b = -4
c = -2
x = (-b ± sqrt(b² - 4ac))/(2a)
x = (4 ± sqrt((-4)² - 4×1×-2))/(2×1) =
= (4 ± sqrt(16 + 8))/2 = (4 ± sqrt(24))/2 =
= (4 ± sqrt(4×6))/2 = (4 ± 2×sqrt(6)) / 2 =
= 2 ± sqrt(6)
x1 = 2 + sqrt(6)
x2 = 2 - sqrt(6)
