If two-thirds of sam's weekly income is $480, what is one-fourth of his weekly income?

To find the full amount of their pay divide $480 by 2/3:

480 / 2/3 = 480 *3 / 2 = 1441/2 = $720

Now you have the weekly pay, divide by 4 to find 1/4 of it:

720 / 4 = 180

one-fourth of his pay is $180.

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.

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