True or false. a right triangle with two congruent legs is always a 45-45-90 triangle.

The given statement is true.

Step-by-step explanation:

Given a statement

A right triangle with two congruent legs is always a 45-45-90 triangle.

we have to check the above statement either it is true or false.

Given a right triangle,

⇒ one of the angle of triangle is right angle i.e of 90°

Now, given two legs of right triangle are equal i.e the triangle is isosceles i.e two angle other than 90° are equal let these are x

By angle sum property of triangle, sum of all angles of triangle is 180°

⇒ 90°+x+x=180°

⇒ 2x=180°-90°=90°

⇒ x=45°

Hence, other two angles are of 45°

⇒ A right triangle with two congruent legs is always a 45-45-90 triangle.

∴ The statement is true.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

{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