Draw a new line segment, D⁢E¯, of any length, and place it anywhere on the coordinate plane, but not on top of ∆ABC. Find and record the ratio of the length of this line segment to one of the corresponding line segments on ∆ABC that you recorded in part A. Now multiply the ratio you calculated by the length of the other side of ∆ABC that you selected in part A. Record the resulting length. Locate the endpoint on D⁢E¯ that corresponds with the vertex of the angle you chose in part A. Using that point as the center, draw a circle with a radius equal to the length you calculated in the previous step. From the center of the circle, draw a ray at an angle to D⁢E¯. Make the angle congruent to the angle of ∆ABC that you measured in part A. Mark the point of intersection of the ray and the circle, and label it point F. Complete ∆DEF by drawing a segment from F to the free endpoint of D⁢E¯. Create a polygon through points D, E, and F. Take a screenshot of your results, save it, and insert the image below the measurements you record

{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

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

true

step-by-step explanation:

it is more then likely a review to you prepare for an upcomign test or quiz