8. Are the following pairs of sets equal?

(a) A = {2} B = {x : x ∈ N, x is an even prime number}.
(b) P = {1, 4, 9} Q = {x : x = n2, n ∈ N, n ≤ 3)
(c) X = {x : x ∈ W, x < 5} Y = {x : x ∈ N, x ≤ 5}
(d) M = {a, b, c, d} N = {p, q, r, s}
(e) D = {x : x is a multiple of 30} E = {x : x is a factor of 10}

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

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.