two complementary angles have a difference of 36°. Find the measure of each angle. (Complementary angles are angles that add up to 90°) Show ur work

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

And we are told their difference is 36. Therefore:

Solve for the system of equations. Add b to both sides in the second equation:

Substitute this into the first:

Combine like terms;

Subtract 36:

Divide by 2:

So, b is 27 degrees.

Use the second equation again:

Now that we know b is 27, substitute:

Add 27 to both sides:

So, a is 63 degrees.

And we're done :)

{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

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier