What is the measure of angle D

52 degrees

Step-by-step explanation:

A triangle's angles all add up to 180 degrees so we can create this equation:

x + 20 + 3x + 32 = 180

Combine like terms.

x + 3x + 20 + 32 = 180

4x + 52 = 180

Subtract 52 from both sides.

4x = 128

Divide.

128 / 4 = 32

x = 32

Plug in the value of x.

x + 20

32 + 20

52

Angle D is equal to 52 degrees.

Please inform me of any mistakes.

x+20+32+3x=180. ( sum of angles of triangle )

4x+52=180

4x=180-52

4x=128

x=128/4

x=32

angle d = x+20

32+20

52°

i think the answer is b)

step-by-step explanation:

{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