Write a paragraph proof to prove that the corresponding angles shown are congruent.

We know that vertical angles are congruent and corresponding angles are congruent if they are formed by parallel lines.

Step-by-step explanation:

Therefore, We can use this information to prove alternate interior angles are also congruent if they are formed by parallel lines since the lines are parallel, then < 1 and < 5 are congruent, < 2 and < 6 are vertical angles We also know that all vertical angles are congruent, so that means < 1 congruent to < 5 because they are corresponding angles, and < 2 congruent to < 6 because they are vertical angles, that means < 1 must be congruent too.

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1