Determine the type of triangle that is drawn below. ​

Isosceles right triangle

Step-by-step explanation:

Right isosceles has a 90° degree angle with two other sides 45° each

Explanation:

Sides AB and AC are the same length (5.61), so the triangle is isosceles. If all three sides were the same, then it would be equilateral, but side BC is a different length of the first two sides mentioned. If all sides were different, then the triangle would be scalene.

Angle A is 90 degrees, making it a right angle. That means triangle ABC is also a right triangle. The triangle would be acute only when all three angles are less than 90. If any angle is greater than 90, then the triangle is obtuse.

So put together, triangle ABC is both isosceles and a right triangle, or in short we could say "triangle ABC is an isosceles right triangle".

{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

16 is the absolute value

step-by-step explanation: