A certain county has a tax code, where 10% tax is paid on all income up to the first $10,000, a 15% tax is paid for any income over $10,000 and up to $25,000, and a tax
rate of 25% is paid on all income over $25,000. Find the piecewise function to
calculate the total tax T(x) on an income of x dollars.

for me,monthly and annual income is factor for me, it'll be t(x)= Monthly/Annual - tax

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.