The diagonals of an isosceles trapezoid are congruent

True

Step-by-step explanation:

True

The diagonals of an isosceles trapezoid are congruent

True.

Step-by-step explanation:

Please find the attachment.

We have been given a statement. We are supposed to determine whether the given statement is true or false.

Statement:

The diagonals of an isosceles trapezoid are congruent.

We know that an an isosceles trapezoid is a trapezoid in which base angles are equal and the left and right sides are equal as well.

We can form two congruent triangles (by SAS congruence) from an isosceles trapezoid as shown in the attachment.

Since two sides and including angle of triangle ADC is equal to two sides and including angle of triangle ADC is equal to BCD, therefore, both triangles are congruent.

By corresponding parts of congruent triangles are congruent, therefore, and our given statement is true.

{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

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate