(15 points) a student is chosen at random from a school. why are the events "choosing a student of age group 5−10" and "choosing a student of age group 11−15" mutually exclusive?
a) they are independent.
b) they are dependent.
c) a student can belong to only one age group.
d) a student can belong to both the age groups.

Which expression gives the area of the triangle shown below

Alina fully simplifies this polynomial and then writes it in standard form. xy2 – 2x2y + 3y3 – 6x2y + 4xy2 if alina wrote the last term as 3y3, which must be the first term of her polynomial in standard form? xy2 5xy2 –8x2y –2x2y

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 elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem