Roberto is an insurance agent who sells two types of
policies: a $50,000 policy and a $100.000 policy. Last
month, his goal was to sell at least 57 insurance
policies. While he did not meet his goal, the total
value of the policies he sold was over $3,000,000.
Which of the following systems of inequalities
describes x, the possible number of $50,000 policies,
and y, the possible number of $100,000 policies, that
Roberto sold last month?

my answer got deleted but it's a

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.