80 POINTS! Abdul is making a map of his neighborhood. He knows the following information:

His home, the middle school, and high school are all on the same street.
His home, the elementary school, and his friend's house are on the same street.
The distance between home and the middle school and between home and the elementary school is 3 miles.
The distance between the high school and the middle school and between his friend's house and the elementary school is 6 miles.
The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home.

What theorem can Abdul use to determine the two triangles are similar? (6 points)

Pieces of Right Triangles Similarity Theorem
Side-Side-Side Similarity Theorem
Midsegment Theorem
Side-Angle-Side Similarity Theorem

Step-by-step explanation:

82 i think wait for the person doing it to see if they are right

Triangle Proportionality Theorem

Step-by-step explanation:

{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