coordinate plane with quadrilaterals abcd and efgh with a at 0 comma 0, b at 2 comma 0, c at 3 comma negative 2, d at negative 1 comma negative 2, e at 2 comma 4, f at 6 comma 4, g at 7 comma 2, and h at 1 comma 2

are quadrilaterals abcd and efgh similar?

yes, quadrilaterals abcd and efgh are similar because a translation of (x + 2, y + 4) and a dilation by the scale factor of 2 from point d′ map quadrilateral abcd onto efgh.
yes, quadrilaterals abcd and efgh are similar because a translation of (x + 3, y + 4) and a dilation by the scale factor of 2 from point a′ map quadrilateral abcd onto efgh.
no, quadrilaterals abcd and efgh are not similar because their corresponding angles are not congruent.
no, quadrilaterals abcd and efgh are not similar because their corresponding segments are not proportional.

step-by-step explanation:

b and c

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

{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