The band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet. which describes the variables in the two-way table?

a - type of instrument and total number of seventh and eighth graders
b - type of instrument and total number of seventh graders
c - grade number and number of clarinet players
d - grade number and type of instrument

D

Step-by-step explanation:

The reason for this is so you can know both the grade and the instrument that they play

D.

Step-by-step explanation:

There are two things you want to know about the students, what they play and what grade they are. These are what you want to have as variables.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: