You work with a carpenter who asks you to cut trim board in the following lengths: 7½ inches, 10½ inches, 9 inches, and 5½ inches. To do this using only one piece of trim board, how long must the board be?12 inches15 ½ inches18 inches23 ½ inches32 ½ inches

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.

v=1788.75

step-by-step explanation:

i belive that is the answer

step-by-step explanation:

the answer to this question depends on certain assumptions.   if the 6-pint jar starts out empty, and the 3-pint jar full, pouring the 3 pints into the 6-pint jar results in a half-full 6-pint jar.   if we refill the 3-pint jar and then pour its contents into the half-full 6-pint jar, then the 6-pint jar will be full.