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) options: 1) Pieces of Right Triangles Similarity Theorem 2) Side-Side-Side Similarity Theorem 3) Midsegment Theorem 4) Side-Angle-Side Similarity Theorem

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.

asdsaddsa

step-by-step explanation:

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .