The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;

1) Supplementary linear pairs and

2) Vertical angles

3) Alternate angles

Given that either;

a) The corresponding angles that form the linear pairs are congruent

b) The corresponding vertically opposite angles are congruent

c) The corresponding alternate angles are congruent, we have;

The two lines are said to be parallel.

Step-by-step explanation:

5 0

2 years ago

(5+6b^3)^2 expand and combine like terms

Drupady [299]

Answer:

$( 5 + 6b^3)^2 = 36b^6 + 60b^3 + 25$

Step-by-step explanation:

$(a + b)^2 = a^2 + b^2 + 2ab$

So,

$(5 + 6b^3)^2 = (5)^2 + (6b^3)^2 + 2 (5)(6b^3)$

$= 25 + 36b^6 + 60b^3$

7 0

2 years ago

Complete the patterns of the equivalent ratios by filling in the gaps.

gayaneshka [121]

21:3
9:3
3:1

there all a 3:1 ratio

4 0

2 years ago